to avoid a possible collision with a manned airplane, you estimate that your small ua climbed to an altitude greater than 600 feet agl. to whom must you report the deviation?

Answers

Answer 1

If you operate a small unmanned aircraft (UA) and deviate from your approved flight plan greater than 600 feet agl to avoid a possible collision with a manned airplane, you may need to report the deviation to;

the Federal Aviation Administration (FAA).

The FAA requires all small UAs to comply with certain regulations and guidelines, including the requirement to maintain an altitude of no more than 400 feet above ground level (AGL) unless otherwise authorized.

If you deviate from your approved flight plan, such as by climbing to an altitude greater than 600 feet AGL to avoid a possible collision with a manned airplane, you may need to report the deviation to the FAA.

It is important to follow all FAA regulations and guidelines for small UAs to ensure the safety of other aircraft and people on the ground. If you are unsure about how to report a deviation or what regulations apply to your specific UA, you can contact the FAA for guidance.

Learn more about Federal Aviation Administration (FAA) at: brainly.com/question/30319685

#SPJ4


Related Questions

joseph and nichole are comparing student grade performances between their two class sections. based on the histograms of their grades, which class section has a larger standard deviation?

Answers

The class section with the larger standard deviation will be the one with the larger variance.

The standard deviation is a measure of how much variation exists in a set of data. It is calculated by taking the square root of the variance, which is the average of the squared differences from the mean. To calculate the standard deviation for Joseph and Nichole's class sections, we need to first calculate the variance for each class. To do this, we need to subtract the mean of each class from each data point, square the result, and then average the squared differences. The larger the variance, the larger the standard deviation will be. Therefore, the class section with the larger standard deviation will be the one with the larger variance.

Learn more about standard deviation here:

https://brainly.com/question/23907081

#SPJ4

a triangle with integer sides has perimeter $12$. how many such non-congruent triangles are there? (a 3-4-5 triangle is considered congruent to a 3-5-4 triangle because we can reflect and rotate the triangles until they match up.)

Answers

In total, there are 5 non-congruent triangles with integer sides that have a perimeter of 12.

The number of such non-congruent triangles can be found by considering all possible combinations of sides that add up to 12.

We can start by finding all possible combinations of two sides, and then adding the third side to make the perimeter equal to 12.

For example, for the two sides with lengths 1 and 11, the third side must be equal to 0, which is not allowed in a triangle.

The combinations of two sides are:

(1, 11), (2, 10), (3, 9), (4, 8), (5, 7), (6, 6).

For the combination (1, 11), the third side cannot be greater than 10, so it is not a valid triangle.

For the combination (2, 10), the third side can have lengths 0, 1, or 2, but none of these values result in a valid triangle.

For the combination (3, 9), the third side can have length 0, 1, 2, or 3. The only value that results in a valid triangle is 3, so there is 1 such triangle.

For the combination (4, 8), the third side can have length 0, 1, 2, or 4. The only value that results in a valid triangle is 4, so there is 1 such triangle.

For the combination (5, 7), the third side can have length 0, 1, 2, 3, or 5. The only value that results in a valid triangle is 5, so there is 1 such triangle.

For the combination (6, 6), the third side can have length 0 or 6. The only value that results in a valid triangle is 6, so there is 1 such triangle.

For more questions on Permutation and Combination

https://brainly.com/question/26852614

#SPJ4

A shop sells candles at Sx each and bath bombs at Sy each. (a) One day the shop sold 25 candles and 15 bath bombs. These sales totalled $680. Show that 5x + 3y = 136. (b) The next day the shop sold 16 candles and 18 bath bombs. These sales totalled $536. Show that 8x + 9y = 268. (c) Solve these simultaneous equations. 5x + 3y = 136 8x+9y = 268 (d) Calculate the difference in price between a candle and a bath bomb. ​

Answers

The most important details in this question are the three simultaneous equations: 5x + 3y = 136, 8x + 9y = 268, and the difference in price between a candle and a bath bomb. These equations can be solved by adding the equations together: 13x + 12y = 404, subtracting 5x and 8x from both sides of the equation:-3x/12 + y = 404/12, and substituting the values of x and y into the equation: Sx - Sy = -26.472.

What is a simultaneous equation?

A simultaneous equation is a collection of two or more equations with two or more variables. Because they share variables, these equations must be solved together. In other words, the variables' values must fulfil all of the equations simultaneously.

(a) 5x + 3y = 136

Substitute the values given in the equation:

5(25) + 3(15) = 136

125 + 45 = 136

Simplify:

170 = 136

This equation is not true.

(b) 8x + 9y = 268

Substitute the values given in the equation:

8(16) + 9(18) = 268

128 + 162 = 268

Simplify:

290 = 268

This equation is not true.

(c) Solve these simultaneous equations.

5x + 3y = 136

8x + 9y = 268

Add the equations together:

13x + 12y = 404

Subtract 5x and 8x from both sides of the equation:

-3x + 12y = 404

Divide both sides of the equation by 12:

-3x/12 + y = 404/12

Simplify:

-1/4x + y = 33.67

Substitute this equation into the original equation:

5x + 3y = 136

5x + 3(33.67) = 136

Simplify:

5x + 100.01 = 136

Subtract 100.01 from both sides of the equation:

5x = 35.99

Divide both sides of the equation by 5:

x = 7.198

Substitute this value into one of the original equations:

5(7.198) + 3y = 136

Simplify:

35.99 + 3y = 136

Subtract 35.99 from both sides of the equation:

3y = 100.01

Divide both sides of the equation by 3:

y = 33.67

(d) Calculate the difference in price between a candle and a bath bomb.

Substitute the values of x and y into the equation:

Sx - Sy = 7.198 - 33.67

Simplify:

Sx - Sy = -26.472

Therefore, the difference in price between a candle and a bath bomb is Sx - Sy = -26.472.

To know more about simultaneous equation, visit

brainly.com/question/30319215

#SPJ1

a newspaper kiosk sells 10 varieties of newspapers from around the world. the average daily sales for some of the varieties are as follows:english language newspapers eight papers, sells 25 of each paper each dayfrench language newspapers two papers, sells one of each paper each daykorean language newspapers one paper, sells 16 each dayjapanese language newspapers eight papers, sells 16 of each paper each day russian language newspapers one paper, sells 22 each day how many of these newspapers are sold each day?

Answers

The total number of newspapers sold each day is: 200 + 2 + 16 + 128 + 22 = 368.

To find the total number of newspapers sold each day, we need to find the sum of the daily sales of each variety:

English language newspapers: 25 * 8 = 200

French language newspapers: 1 * 2 = 2

Korean language newspapers: 16 * 1 = 16

Japanese language newspapers: 16 * 8 = 128

Russian language newspapers: 22 * 1 = 22

Addition is one of the four fundamental mathematical operations, the others being subtraction, multiplication, and division. When two whole numbers are added together, the total quantity or sum of those values is obtained.

In mathematics, addition is the process of joining two or more integers. The numbers being added are known as addends, and the result or final response obtained after the procedure is known as the total.

For more questions on Addition

https://brainly.com/question/4721701

#SPJ4

The graph shows the amount of rainfall in Miami over s two hour period. If the rain continues to fall at this rate, What will be the total rainfall after 5 hours? Explain how you calculated your answer

Answers

Therefore , the solution of the given problem of fraction comes out to be  the rainfall continues to fall at a rate of 50mm.

A fraction is what?

Any number of equal amounts or fractions can be used to represent a whole. In standard English, the quantity of a certain size is stated as a fraction. 8, 3/4. Wholes also include fractions. Numbers are represented in mathematics by the fraction to numerator ratio. These are all straightforward integer fractions. There is a fraction in the denominator of a difficult fraction. because the calculations, numerators, and numerators of actual fractions vary.

Here,

the amount of rainfall in Miami over s two hour period. If the rain continues to fall at this rate,

=> Radius

=>  fraction = 127/2 =63.5 mm

=> 2 hours rainfall

Per hour rainfall = 10 mm

=> After 5 hours

=> 50 mm

So,

the rainfall continues to fall at a rate of 50mm.

Therefore , the solution of the given problem of fraction comes out to be  the rainfall continues to fall at a rate of 50mm.

To know more about fraction visit:

https://brainly.com/question/10354322

#SPJ1

can someone please help me(10 points will give brainliest!!!)

Answers

a)The given expression is; x + 9/2

b) The smallest number is  0.104

What is a mathematical expression?

A mathematical expression is a combination of numbers, variables, and operations that represents a mathematical relationship or equation. We are asked to renter the expression as shown into the box that have been given.

If we arrange the numbers in order, we can see that the decreasing order of the numbers would take the form;

104 > 10.4 > 1.04 > 0.104

Thus we can see that the number that is smallest is  0.104.

Learn more about mathematical expressions:https://brainly.com/question/30350742

#SPJ1

4/9-5/7(2/3x2/3) and the one who gets right gets 20 points

Answers

Answer:

0.12698412698

Step-by-step explanation:

which five values are graphed on a box plot? which five values are graphed on a box plot? min, quartile 1, median, quartile 3, max min, quintile 1, median, quintile 3, max min, quartile 1, mean, quartile 3, max min, quintile 1, mean, quintile 3, max

Answers

The five values which are required to graphed a box plot are as follow:

Option 1. Minimum , Quartile 1, Median, Quartile 3 , Maximum

The five values required to represent on the graph of box plot are :

Box plot is a way to represent the chart in graph form .In box plot represents the five values which includes central tendency.There are two outliers and one interquartile.Two outliers are Minimum and Maximum.Interquartile includes the quartile 1 → Median → quartile 3.Quartile 1 is 25 percentile, median is 50percentile and quartile 3 is 75 percentile.

Therefore, the five values used to graphed on a box plot are:

Option 1. Minimum , Quartile 1, Median, Quartile 3 , Maximum

The above question is incomplete , the complete question is :

Which five values are graphed on a boxplot?

1.  Min, Quartile 1, Median, Quartile 3. Max

2.  Min. Quartile 1, Mean Quartile 3, Max

3. Min. Quintile 1, Median, Quintile 3. Max

4. Min. Quintile 1. Mean, Quintile 3, Max

Learn more about box plot here

brainly.com/question/12591498

#SPJ4

the table and the graph represent two drones' distances from the ground. y, as a function of time, x. what is the rate of change Drone A

Answers

The rate of change is -2.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

From the table,

(0, 42), (1, 40) and (2, 38)

Rate of change of drone A.

= (40 - 42) / (1 - 0)

= -2/1

= -2

Thus,

-2 is the rate of change.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ1

Find the area of this circle. Use 3 for pi

Answers

Step-by-step explanation:

what do you not understand here ?

you got the formula, the numbers for the formula.

since you should use 3 for pi, this is a very simple calculation :

3×15² = 3×225 = 675 ft²

that's it.

Mark lives 5,000
5
,
000
feet from school. He walks to school at a steady rate of 250
250
feet per minute. Use that information and the diagram to complete the table below.

Answers

The required complete table regarding the distance traveled has been shown.


From the given condition, let y be the distance left and x be the time,
According to the question an equation model is given as,

Distance traveled = 5x
Distance remaining to travel = y = 5000 - 250x

Now,
Put x = 5
Distance traveled = 250x
                           = 250(5) = 1250

Distance remaining to travel = y
y = 5000 - 1250
y = 3750 ft

Similarly,
At
x = 20
Distance traveled = 5000

X = 10
Distance remaining = 2500

Thus, the required complete table has been shown.

Learn more about models here:
https://brainly.com/question/22591166
#SPJ1




The science club designs a series of posters that all have the same
four sections. Each poster measures 18 in. wide and 24 in. tall.
Look at the Description and Small Diagram sections. Label the
diagram to show the combined width of these two sections.

Answers

When the length of 2 section combined is 18 in

width is 12 in

When the length of 2 section combined is 24 in

width is 9 in  

What is Rectangle ?

A quadrilateral with four right angles is a rectangle. It may alternatively be described as a parallelogram with a right angle or an equiangular quadrilateral, where equiangular denotes that all of its angles are equal. A square is a rectangle with four equally long sides.

Rectangles have the following basic characteristics:

They are quadrilaterals.The opposing sides are level and parallel to one another.90 degrees is the angle of each interior.360 degrees is the total of all interior angles.The diagonals cut each other in half.The length of both diagonals is the same.

The length of the poster is 24 in

The width of the poster is 18 in

The area of the poster = 24*18 = 432 in²

The area of each section of the poster is 432/4 = 108 in².

Length of each section is 24/2 = 12 in

Width of each section is 18/2 = 9 in

The total length when 2 sections are combined is 9 + 9 = 18 in

or, 12 + 12 = 24 in

When the length of 2 section combined is 18 in

width is (108*2)/18 = 12 in

When the length of 2 section combined is 24 in

width is (108*2)/24 = 9 in  

To learn more about Rectangle refer to :

https://brainly.com/question/20693059

#SPJ1

The list shows the number of students on five different buses.
35,47,52,40,21
What is the mean absolute deviation of the number in the list?

Answers

The mean absolute deviation of the number in the list is 8.8

How to calculate the mean absolute deviation of the number in the list?

Mean absolute deviation (MAD) is a measure of the average absolute distance between each data value and the mean of a data set. The formula for MAD is:

MAD =∑|x-m|/n

∑ is known as Sigma and means to sum up

| | are vertical bars that mean absolute value

x is each value

m is the mean

n is the total number of data points in your data set

Given: 35,47,52,40,21

n = 5

m = (35 + 47 + 52 + 40 + 21) /5 = 195/5 = 39

∑|x-m| = |35-39| + |47-39| + |52-39| + |40-39| + |21-39|

          = 4 + 8 + 13 +  1 + 18 = 44

MAD =∑|x-m|/n = 44/5 = 8.8

Therefore, the mean absolute deviation of the number in the list is 8.8

Learn more about mean absolute deviation on:

brainly.com/question/16586775

#SPJ1

A fish tank holds at most 125 gallons of water. The tank already has 20 gallons of water in it when Ian begins to fill it at a rate of 8 gallons per minute. What is the longest time that Ian has to wait to fill the tank? You will get a decimal answer.

Answers

Step-by-step explanation:

To find the longest time that Ian has to wait to fill the tank, we need to find the total time it takes to fill the tank from its current level of 20 gallons to its maximum level of 125 gallons.

First, we need to find the amount of water that needs to be added to the tank by subtracting the current water level from the maximum water level:

125 gallons - 20 gallons = 105 gallons

Next, we need to divide the amount of water that needs to be added by the rate at which Ian is filling the tank to find the time it will take:

105 gallons / 8 gallons per minute = 13.125 minutes

So the longest time that Ian has to wait to fill the tank is 13.125 minutes.

Consider the following linear programming problem:Max Z = $300x1 + $100x2 s.t. 30X1 + 70x2 ≤ 210 20x1 + 10x2 ≤ 100 X1, X2 ≥ 0 What is maximum Z and the value of X1 and X2 at the optimal solution? a. Z = 1500; X1 = 5; and X2 = 0b. Z = 300; X1 = 0; and X2 = 3;c. Z = 1250: X1 = 3; and X2 = 3.5; d. Z=3000, X=-10, and X2 = 0: e. None of the above

Answers

Answer:none of the above

Step-by-step explanation:

The maximum Z is 1800 and the value of X₁ and X₂ at the optimal solution : X₁ = 5 and X₂ = 3.

The constraints for the linear programming problem:

30X₁ + 70X₂ ≤ 210

20X₁ + 10X₂ ≤ 100

X₁, X₂ ≥ 0

First we draw the graph for equations 30X₁ + 70X₂ = 210 and 20X₁ + 10X₂ = 100

Consider equation 30X₁ + 70X₂ = 210

For X₁ = 0,

70X₂ = 210

X₂ = 3

For  X₂ = 0,

30X₁ = 210

X₁ = 7

This means, the line 30X₁ + 70X₂ = 210 passes through (0, 3) and (7, 0) as shown in the following graph.

So, 30X₁ + 70X₂ ≤ 210  includes the region below the line.

Consider equation 20X₁ + 10X₂ = 100

For X₁ = 0,

10X₂ = 100

X₂ = 10

For  X₂ = 0,

20X₁ = 100

X₁ = 5

This means, the line 20X₁ + 10X₂ = 100 passes through points (0, 10) and (5, 0) as shown in the following graph.

so, an inequality 20X₁ + 10X₂ ≤ 100 includes the region below the line.

From the figure, (0, 3) and (5,0) are feasible corner points.

Thus the optimal solution is:  X₁ = 5 and X₂ = 3

For X₁ = 5 and X₂ = 3,

Z = 300X₁ + 100X₂

Z = 300(5) + 100(3)

Z = 1500 + 300

Z = 1800

Therefore, the maximum value of Z is 1800

Learn more about the linear programming problem here:

https://brainly.com/question/16751957

#SPJ4

WKST is a quadrilateral where m/K = (3x – 18)°,m/W = (15y + 6)°, and m/T = (2x + 6)°.
What is the value of y and mZS to classify WKST a parallelogram?
K

Answers

Note that for WKST to be a parallelogram, y must be equal to 8 and m∠S must be equal to 126°. Thus the correct option is (Option C).

What is a parallelogram?

A parallelogram is a basic quadrilateral with two pairs of parallel sides in Euclidean geometry. A parallelogram's opposing or facing sides are of equal length, and its opposite angles are of equal measure.

To justify the above answer, note that:

Since Opposite angles of a parallelogram are congruent, we have

∠W = ∠T

That is:

 3x -18 = 2x +6

Collecting like terms over the equation sign, we have:

3x - 2x = 6 + 18

x = 24

Substituting x into the equation for ∠W = ∠T, we have:

3x -18 = 2x +6

3(24)-18 = 2(24) +6 =54

72-18 = 48 +6 = 54

Thus, the above expression is True. That is:

3x -18 = 54°; and

2x +6 = 54°.

Since The adjacent angle, W is supplementary to either of these, it means that:
∠W = 180° -∠E

⇒ 15y +6 = 180 -54

⇒ 15y = 120

y = 8

Thus, it is correct to state that the value of y and m∠S required to classify WKST as a parallelogram are:

y-8; ∠126° (Option C)

Learn more about Parallelograms:
https://brainly.com/question/29147156
#SPJ1

Full Question:

See the attached image.

Find the value of each variable urgentttt

Answers

The values of x and y are the same with x = 3√2 and y = 3√2 derived using the trigonometric ratio of sine and cosine of the angle 45°.

What are trigonometric ratios

The trigonometric ratios involves the relationship of an angle of a right-angled triangle to ratios of two side lengths. Basic trigonometric ratios includes; sine cosine and tangent.

sin 45° = √2/2 and cos 45° = √2/2

considering the right triangle;

sin 45° = x/6 {opposite/hypotenuse}

√2/2 = x/6

x = 6 × √2/2

x = 3√2

cos 45° = y/6 {adjacent/hypotenuse}

√2/2 = y/6

y = 6 × √2/2

y = 3√2

Therefore, the values of x and y are the same with x = 3√2 and y = 3√2 derived using the trigonometric ratio of sine and cosine of the angle 45.

Know more about trigonometric ratio here:https://brainly.com/question/23130410

#SPJ1

verify functional continuity and derivative continuity (slope smoothness) between the device saturated and device active segments of the

Answers

Functional continuity and derivative continuity (slope smoothness) between the device saturated and device active segments is the value of V12, VOL and Vhr, Vih and Get the NM2 & NmH

What is Functions?

Each element of X receives exactly one element of Y when a function from one set to the other is used. The sets X and Y are collectively referred to as the function's domain and codomain, respectively. Initially, functions represented the idealized relationship between two changing quantities.

Suppose the threshold vintage of N- mas is VTO

(i) Vin < VTO – Cat of f

(ii) VTO < Vin < V out – Saturation

(iii) Vin > V out + VTO – Liniar

When N-Nos is in Liniar

IR = Kn/2 { 2.(Vin-VTO). V out – V2out }

Cat calculation of VOH,

V out = V Do – RL- IR

When Vin is Low, i.p. Vin <Vto, the M mess is Off Home ID = IR = O

Calculation of VOL,

Let us assume Vin = VoH

= VDo

Since Vin – VTO > V Out, the Transitar is in Lininers,

IR= VDo – V out

Off have IO = IR = o

Calculation of VOL,

Let us assume Vin = VOH = VDO

Since Vin – VTO > V out, the Transifar is in Linears,

IR= VDO – V Out / R2

Using KCL – IR = IO

VDO – VOL / R2 = Kn/2 { 2(VOD  - VTo ) . Vo2 – VOL2}

Vol2 – 2 .{ VOD – VTO + 1/KnR2 } VOL + 2/KnRL . VDD = 0

On Solving for VOL,

VOL = VDD = VTO + 1/KnRL - /- ( VDD – VTO + 1/KNR2 ) 2 – 2VDD/KnR2

D Vot/DVin = 1

For VOCD > Vin – VTO; The N-Mas in Saturation

VDD – V Out /R2 = Kn/2 ( Vin – VTO ) 2

-1/R2 . D V out / D Vin = Kn( Vin – Vto )     put Vin = Vin

-1/RL ( -1) = Kn( Vin – Vto )

Calculation of Visit :-

Put D V out / D Vin = -1

When V Out  < Vin – Vto: M- mas Linier

Vdd – V out / RL = Kn/2 { 2- ( Vin –Vto ) Vout – V2 out }

Differtatyboth side  by d Vin:

-1/RL – D Vout/D Vin = kn/2 { 2.( Vin – Vto) D v out /d Vin

= 2 vat . Dat/dxt

Vdd – V out /R2 = Kn/2 { 2. ( Vin – VTO) V out – V2 Out }

Diffent Both side by D Vin .

-1/RL. DV out/DVin = Kn/2 {2. (Vin – Vto) Dv out / D vin + 2 vat .dat/Dithal      ------- ( i)

Put  dV out/D vin = -1

                                         Put Vin = VTT

-1/RL (-1) = Kn{( Vin – Vto ) – (-1) +2 V out }

VTH = Vto +2 V out -1 / Kn RL ----------(II)

Now Put the Value of Vin From ( II ) in ( I) in the Place of Vin.

Then

Vin = Vto + 8/3 VDo/KnRL – 1/knRL

Now ,Nasie Margin :-

NM2 = V12 – Vol

NMH = Vas – Vin

Substitute the value of V12, VOL and Vhr, Vih and Get the NM2 & NmH.

The value of V12, VOL and Vhr, Vih and Get the NM2 & NmH between the device saturated and device active segments is functional continuity and derivative continuity (slope smoothness).

To see the detailed question see the attachment

To learn more about Functions visit:

brainly.com/question/28278699

#SPJ4

[PLEASE HELP!! WILL GIVE BRAINLIEST!]
Find the maximum and minimum points of the function y = 2 sin 2(x + π) + 3.

Answers

The required maximum and minimum points of the function y = 2 sin 2(x + π) + 3 is (-3π/4, 5) and (-π/4, 1). Option A is correct.

What are trigonometric equations?

These are the equation that contains trigonometric operators such as sin, cos.. etc.. In algebraic operations.

Here,

Maximum and minimum points of the function y = 2 sin 2(x + π) + 3. can be determined by drawing the graph of the function, from the graph maximum of point of the function is (-3π/4, 5) and the minimum point is (-π/4, 1).

Thus, the required maximum and minimum points of the function y = 2 sin 2(x + π) + 3 is (-3π/4, 5) and (-π/4, 1). Option A is correct.

Learn more about trigonometry equations here:

brainly.com/question/22624805

#SPJ1

Four spheres of radius 6 cm just fit inside a cylinder.
Calculate the volume inside the cylinder that is empty.
Leave your answer in terms of .
0000²
12 cm
Spheres
Vol = ²³

Answers

Answer:

576π cm³

Step-by-step explanation:

Find volume of 1 sphere:

V = 4/3πr³ = 4/3π(6)³ = 288π

Volume occupied by 4 spheres = 4(288π) = 1152π

Find volume of cylinder:

V = πr²h

h = 4(12) = 48     (4 spheres stacked inside the cylinder)

V = π(6)²(48) = 1728π

Empty space = (Volume-cylinder) - (Volume-4 spheres) = 1728π - 1152π = 576π

What is the area of a circle with a diameter of 12 meters? Leave the answer in terms of π. 6π square meters 12π square meters 36π square meters 144π square meters

Answers

The area of the given circle is 36π square meters.

What is the area of a circle?

The region encircled by a circle is known as the area of a circle in geometry. The area of a circle is π multiplied by the square of the radius r. Here, the Greek letter π stands for the constant proportion of a circle's circumference to its diameter, which is roughly equivalent to 3.14159.

Given,

 Diameter of the circle = 12 metres

Radius of the circle = Diameter/2 =12/2 = 6 metres

Area of circle = πr² = π ×6² = 36 π square meters

Therefore the area of the given circle is 36π square meters.

To learn more about the area of a circle, follow the link.

https://brainly.com/question/14068861

#SPJ1

a cylindrical drinking glass has a diameter of 2.5 in. and is 5.5 in. tall. what is the volume of the drinking glass in cubic centimeters?

Answers

The volume of the drinking glass in cubic centimeters is 442.4189 cm^3 .

The cylinder is a three-dimensional shape having a circular base.

A cylinder can be seen as a set of circular disks that are stacked on one another.

The volume of a three-dimensional shape is equal to the amount of space occupied by that shape.

Now, think of a scenario where we need to calculate the amount of sugar that can be accommodated in a cylindrical box.

For any cylinder with base radius ‘r’, and height ‘h’, the volume will be base times the height.

Therefore, the cylinder’s volume of base radius ‘r’, and height ‘h’ = (area of base) × height of the cylinder

Since the  base is the circle, it can be written as

Volume =  πr^2 × h

Therefore, the volume of a cylinder = πr^2h cubic units.

diameter of 2.5 in

r = 2.5/2 in.

r = 1.25 in

r = 3.175 cm

cylindrical drinking glass 5.5 in. tall

h = 5.5 in.

h = 13.97cm

volume of the drinking glass

Volume =  πr^2 × h

              =   π ( 3.175)^2 ×  13.97  cm^3

              = 442.4189 cm^3

The volume of the drinking glass in cubic centimeters is 442.4189 cm^3 .

To know more about volume of cylinder visit brainly.com/question/16134180

#SPJ4

Two students expanded the expression (2 - 3x)²

One student got the answer 4 – 12 x + 9x² and the other student got the answer 4 + 9x². Which student is correct? Explain your reasoning.

Answers

Based on the expanded the expression (2 - 3x)², the student who got the answer 4 – 12 x + 9x² is the first student.

What is a quadratic function?

In Mathematics, a quadratic function can be defined as a mathematical expression which defines and represent the relationship that exists between two (2) or more variable on a graph, with a maximum exponent of two (2).

In Mathematics, the standard form of a quadratic function is given by ax² + bx + c = 0.

By applying the following binomial expression to the given quadratic function, we have:

(a - b)² = a² - 2ab + b²

(2 - 3x)² = 4 - 2(2)(3x) + 3x²

4 - 2(2)(3x) + 3x² = 4 - 12x + 9x².

Read more on quadratic functions here: brainly.com/question/24020644

#SPJ1

gavin and philip have a combined age of 31. gavin is 4 years older than twice philips age. how old are gavin and philip?

Answers

Philip is 9 years old and Gavin is 22 years old because 9 times 2 plus 4 = 22+9=31

There are 5 questions on a math exam. Each question is worth twice as much as the question before it. The fifth question is worth 16 points. How much is the first question worth?

Answers

Answer:

1 point

Step-by-step explanation:

if each question is worth twice as much as the question before it , then the question before each question is half the value, then

5th question = 16

4th question = 16 ÷ 2 = 8

3rd question = 8 ÷ 2 = 4

2nd question = 4 ÷ 2 = 2

1st question = 2 ÷ 2 = 1

the first question is worth 1 point

Ron has a bag of marbles that contains blue, orange, and green marbles. The ratio of blue to orange to green is 4:2:1. If the bag contains 8 blue
marbles,
marbles are green.

Answers

Answer:

2 green

Step-by-step explanation:

The ratio of blue to green is 4 to 1  <===== there is 1/4th asmany green as blue.... so if there are 8 blue, there are only   2 green

14. Find the missing side. Round to the nearest tenth. *

Answers

The missing side, which is 8.2 (rounded to the closest tenth), is indicated by the provided statement.

Give a mathematical definition of side?

The leading edge that connects two vertices of a form or two-dimensional object is referred to as a side in geometry. To put it another way, in mathematics, a side is the vector that joins two points on a form. Here, the term "shape" refers to a two-dimensional (flat) form, such as a triangle, rectangle, or square.

Your hypotenuse is present. You require the inverse.

Sin = x/Hypotenuse

Sin27° = x/18

x = Sin27° * 18

x = 0.45 * 18

x = 8.17

x ≈ 8.2

As a result, side 8.2 is missing.

To know more about Side visit:

https://brainly.com/question/29082532

#SPJ1

Match each system on the left with all words that describe the system on the right. Choices on the right can be used more than once

Answers

The solution for the given problem is X= -4, Y= -5.

How to substitute the values:

First we will substitute into one of the equations: 2(3x-1)-6x=4

Then reduce the greatest common factor on both sides:3x-1-3x=2(i.e divide the above equation by 2)

The sum of two opposites equals 0: -1 =2

Rearrange unknown terms to the left side of the equation:

                                   2y+x=6

                                   4y+2x=12

Reorder the equation: x+2y=6

                                    4y+2x =12

Again reorder the equation by taking x variable first : x+2y = 6, 2x+4y= 12

Reduce the greatest common factor on both sides of the equation:

Subtract the two equations:2y-(x+2y)=6-6

Remove parentheses:

Cancel one variable:0=6-6

The sum of two opposites equals 0:0=0

The system of equations has: infinte solutions

Substitute into one of the equations: :x+2x+3=-9

Rearrange unknown terms to the left side of the equation:

Combine like terms:3x=-9-3

Calculate the sum or difference:

Divide both sides of the equation by the coefficient of variable:x=-12/3

Cross out the common factor:x=-4

Substitute into one of the equations:-4+y=-9

Rearrange unknown terms to the left side of the equation: y=-9+4

Calculate the sum or difference: y=-5

Therefore, the solution of the given problem is x=-4, y=-5.

To know more about greatest common factor visit:-

brainly.com/question/11221202

#SPJ1

Amir buys a car for £11985 which depreciates in value at a rate of 4.25% per year.

Work out how much Amir's car will be worth in 5 years.

Answers

The amount that Amir's car will be worth in 5 years is £9, 645. 09

How to determine the value

From the information given, we have that;

£11985 is the initial amount4.25% is the rate of depreciation

For the first year, we have;

= £11985 × 4.25/100

= £509. 36

For the second year

= £ 11475 × 0. 0425

= £487. 71

For the third year

= £10, 987. 28 × 0. 0425

= £466. 96

For the fourth year

= £10, 520.32 × 0. 0425

= £447. 1136

For the fifth year

= £ 10. 073. 20 × 0. 0425

= £428. 111

Hence, the value is £9, 645. 09

Learn about depreciation on:

https://brainly.com/question/1203926

#SPJ1

Write the point-slope form of the equation of the line.
11) through: (6, 4); slope =1/2
12) through: (-7, 8) and (-3, 9)

Answers

The point-slope form of a line's equation is given by y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope of the line.

The point (6, 4) and the slope of 1/2 can be used to write the equation of the line in point-slope form:
y - 4 = 1/2(x - 6)

To find the equation of a line given two points, we can find the slope of the line using the formula: m = (y2 - y1) / (x2 - x1). With the points (-7, 8) and (-3, 9), we can calculate the slope:
m = (9 - 8) / (-3 - (-7)) = 1 / 4

Next, we can use one of the points and the slope to write the equation in point-slope form:

y - 8 = 1/4 (x + 7)

or

y - 9 = -1/4 (x + 3)
Other Questions
which of the underlying theories, if any, requires proof of a recklessly made promise that causes reliance and produces hardship when broken? what is a similar driver for both monsoons and land breezes? from the following accounts, listed in alphabetical order, prepare a classified balance sheet for berkly wholesalers as of december 31. all accounts have normal balances. accounts payable $44,500 inventory $118,500 accounts receivable 40,000 land 46,500 building 67,000 mortgage payable (long term) 79,500 cash 27,500 office supplies 3,500 common stock 112,500 retained earnings ? salaries payable 8,500 7. A coin bank contains $12.45 in quarters and dimes. If there are 16 more dimes than quarters,how many are there of each? Disequilibrium occurs when An atom in a tetragonal unit cell has fractional coordinates of (0.1, 0.13, 0.2). Give the coordinates of the second atom in the unit cell that is related by the following (separately applied).(a) Body centering.(b) A center of symmetry at the origin.(c) A mirror plane containing the x and z axes.(d) A 42 axis parallel to z and passing through the origin.(e) An a glide plane intersecting point (0.5, 0.5, 0.5). you have a ct circuit connected to a relay. you know the following: the ct resistance is 0.800 ohms total the wires from the ct to relay are 100 ft each and have a resistance of 0.001 ohms/ft the relay has a resistance 0.020 ohms the worst-case fault occurs for a 1lg fault. what is the total resistance you need to consider when evaluating the cts? a. 1.020 ohms b. 0.920 ohms c. 1.000 ohms d. 0.900 ohms In ethical decision making, what element of the marketing mix is affected when a firm is deciding whether or not to outsource jobs to other members of the supply chain.a-promotionb- placec- productd- pricee- profitability in which situation are governments likely to use subsidies or government provision to achieve economic efficiency? What is part per million according to the church fathers, why can abraham, david, and the prophets correctly be called christians? how much is $9b from 1992 worth today A rigid cylinder of nitrogen shows a pressure of 4100 torr at 25C. The cylinder is then transported to the desert where it shows a pressure of 4300 torr. What is the temperature in the desert? Describe the blank of the blank outdoors, such as blank cloud, cover, blank and blank if a journal entry for salaries expense that incurred during this year but will be paid until next year is accidently omitted, what would be the impact on the financial statements? consider randomly selecting a student who is among the 14,000 registered for the current semester in a college. let be the number of courses the selected student is taking, and suppose that has the following probability distribution: X 1 2 3 4 5 6 7 F(x) 0.02 0.01 0.20 0.17 0.39 0.20 0.01 find the 30th percentile of this distribution. g: which built in python function will insert an item into a heap while maintaining the heap invariant. These two make it possible to view the heap as a regular Python list without surprises: heap[0] is the smallest item, and heap.sort() maintains the heap invariant! Which is an example of a negative externality? Multiple Choice An increase in the value of land you own when a nearby development is completed. The costs paid by a company to build an automated factory. Decreased property values in a neighborhood where several houses are burglarized. The higher price you pay when you buy a heavily advertised product. Which statement is correct about the theory of combustion? 1. The law of conservation of mass provided justification for the theory of combustion2. The theory of phlogiston provided justification for the theory of combustion.3. The theory of phlogiston became the theory of combustion.4. The law of conservation of mass became the theory of combustion. 21) A hot urface at 100oC i to be cooled by attaching 3-cm-long, 0. 25-cm-diameter aluminum pin fin (k = 237 W/mK) to it, with a center-to-center ditance of 0. 6 cm. The temperature of the urrounding medium i 30oC and the heat tranfer coefficient on the urface i 35 W/m2K. Determine the rate of heat tranfer from the urface for a 1 m x 1 m ection of the plate. Alo determine the overall effectivene of the fin