Please help! i have no clue what to do. its for Volume! please help me! will mark you brainliest! see attached! thank you​

Please Help! I Have No Clue What To Do. Its For Volume! Please Help Me! Will Mark You Brainliest! See

Answers

Answer 1

Answer:

The volume of the whole figure is:
8,847 ft^3 + 26,542 ft^3 =  35,389 cubic feet

Step-by-step explanation:

The volume of the rectangle lower part is :
38.4ft*24ft * 28.8ft =26,542.08 cubic foot

to the nearest  whole number 26,542 cubic feet

The area of the right  side of the triangle face on the top is  (Base * height) / 2 :
(19.2ft * (38.4ft /2) / 2   =184.32 square feet

As both side of that triangle on top have the same length of hypothenuse. The area of the whole triangle face:
184.32 *2 = 368.64 square feet

The volume of the triangle top:
368.64 ft^2 * 24ft = 8,847.36 cubic feet .

To the nearest whole number 8847 cubic feet

The volume of the whole figure is:
8,847 ft^3+26,542 ft^3 =  35,389 cubic feet


Related Questions

The question what function matches the graph?
A) linear
B) exponential
C)Geometric
D)Quadratic

Answers

There’s a constant rate and each input has one output therefore it’s linear

If abf is 300 what is ad

Answers

What is abf please provide more information

In Aarons grade 7 class, 1 in every 3 students has a brother. However, for the school overall, 5 out of every 12 grade 7 students (including Aaron and his class) have a brother.

Answers

This equation is not valid, as it leads to an inconsistency.

In Aaron's grade 7 class, the ratio of students with a brother is 1 in every 3 students. This means that for every 3 students in the class, there is 1 student who has a brother.

On the other hand, for the school overall, including Aaron's class, the ratio of grade 7 students with a brother is 5 out of every 12 students. This means that for every 12 grade 7 students, there are 5 students who have a brother.

Let's assume there are a total of N grade 7 students in the school.

In Aaron's class, the ratio of students with a brother is 1 in every 3 students. So, the number of students in Aaron's class with a brother can be calculated as N/3.

For the school overall, the ratio of grade 7 students with a brother is 5 out of every 12 students. So, the number of grade 7 students in the school with a brother can be calculated as (5/12) * N.

Since Aaron's class is part of the school overall, we can equate these two values:

N/3 = (5/12) * N

To solve for N, we can cross multiply:

12 * N = 3 * (5/12) * N

12 * N = 15 * N/12

144 * N = 15 * N

144 = 15

This equation is not valid, as it leads to an inconsistency.

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Use the information in the table below to answer the following question.

Name of Fund
NAV
Offer Price
Upton Group
$18.47
$18.96
Green Energy
$17.29
$18.01
TJH Small-Cap
$18.43
$19.05
WHI Health
$20.96
NL

Trevor buys 80 shares of Upton Group and 70 shares of TJH Small-Cap. What is Trevor’s total investment?
a.
$2,687.90
b.
$2,768.00
c.
$2,850.30
d.
$2,957.60

Answers

Trevor’s total investment is $2850.30.(Option-c)

Trevor buys 80 shares of Upton Group and 70 shares of TJH Small-Cap. The offer price for Upton Group is $18.96 and the offer price for TJH Small-Cap is $19.05. Therefore, Trevor's total investment is:

80 shares * $18.96 + 70 shares * $19.05 = $1516.80 + $1333.50 = $2850.30

The offer price is the price at which a mutual fund is sold to investors. It is calculated by adding the net asset value (NAV) of the fund to the sales charge. The NAV is the value of the fund's assets minus its liabilities. The sales charge is a fee that is paid to the fund's distributor.

Trevor's total investment of $2,850.30 is the sum of the offer prices of the two funds he purchased. The offer price of Upton Group is $18.96 per share, and the offer price of TJH Small-Cap is $19.05 per share. Trevor purchased 80 shares of Upton Group and 70 shares of TJH Small-Cap, so his total investment is 80 shares * $18.96 + 70 shares * $19.05 = $1516.80 + $1333.50 = $2850.30.(Option-c)

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50 points for 3 questions. solve and explain please.

Answers

(1) The value of x is determined as 16.8.

(2) The measure of length VX is calculated as 4.1.

(3) The measure of angle UWV is 69.5⁰.

What is the value of the missing lengths of the triangle?

The value of the missing lengths of the triangle is calculated by applying the following formula;

(1) For the two similar triangles, the value of x is calculated as follows;

20 / (28 - x) = 30 / x

20x = 30 (28 - x )

20x = 840 - 30x

20x + 30x = 840

50x = 840

x = 840 / 50

x = 16.8

(2) The measure of length VX is calculated by applying trig ratios.

tan 63 = 8 / VX

VX = 8 / tan 63

VX = 4.1

(3) The measure of angle UWV is calculated as follows;

angle T = 360 - (94 + 127) = 139

angle UWV = ¹/₂ x 139 (angle at circumference is half of angle at center)

angle UWV = 69.5⁰

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Time Remaining
00:07:19
Finish Assessment
17.Given the linear equation
a
x
+
b
y
=
c
ax+by=c, where
a
a,
b
b, and
c
c are greater than zero, if
x
x decreases by 8 units what is the corresponding change in
y
y?

Answers

If x decreases by 8 units, then the variable y is increased by 8a/b units.

How to define a linear function?

The slope-intercept equation for a linear function is presented as follows:

y = mx + b

The parameters of the definition of the linear function are given as follows:

m represents the slope of the function, which is by how much the dependent variable y increases(positive) or decreases(negative) when the independent variable x is added by one.b represents the y-intercept of the function, representing the numeric value of the function when the input variable x has a value of 0. On the case of the graph, the intercept is given by the value of y at which the graph crosses or touches the y-axis.

The function for this problem is given as follows:

ax + by = c.

In slope intercept form, we have that:

by = -ax + c

y = -ax/b + c/b.

Hence the slope is:

m = -a/b.

The slope is negative, hence if x decreases by 8 units, then the variable y is increased by 8a/b units.

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Medida de cada angulo externo del poligono eneágono

Answers

The measure of each exterior angle of a regular eneagonal is given as follows:

40º.

How to obtain the sum of the exterior angles?

An exterior angle of a polygon is defined as the angle between a side and its adjacent extended side.

The exterior angle theorem states that the sum of the measures of the exterior angles of any polygon is of 360º.

For a regular polygon, the angle measures are equal. A regular eneagonal has nine exterior angles, hence the measure of each angle is given as follows:

360/9 = 40º

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24. What is the cost for 5 t-shirts that cost $10 with a sales tax of 6%?

$3
$56
$50
$53

Answers

The cost for 5 t-shirts, including Sales tax, is $53.

The cost of 5 t-shirts with a price of $10 each and a sales tax of 6%, we need to multiply the total price of the t-shirts by the sales tax rate and add it to the original price.

The original price of one t-shirt is $10. Therefore, the total price of 5 t-shirts is:

$10 * 5 = $50

To calculate the sales tax, we need to multiply the total price by the sales tax rate of 6%:

$50 * 6% = $50 * 0.06 = $3

Adding the sales tax to the total price:

$50 + $3 = $53

Therefore, the cost for 5 t-shirts, including sales tax, is $53.

The correct answer is: $53.

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1. The first quartile (1) of the ages of the 256 employees of CCNHS – Main Campus is 39 years old. What does it imply?

Answers

If the first quartile is 39 years old, it means that approximately one-fourth of the employees at CCNHS – Main Campus are 39 years old or younger.

The first quartile (Q1) of the ages of the 256 employees of CCNHS – Main Campus being 39 years old implies that 25% of the employees have an age equal to or less than 39 years old.

In statistical terms, the first quartile represents the point below which 25% of the data falls. It divides the data set into four equal parts, with each part containing 25% of the data. Therefore, if the first quartile is 39 years old, it means that approximately one-fourth of the employees at CCNHS – Main Campus are 39 years old or younger.

This information provides insight into the age distribution of the employees at the institution. It indicates that a significant portion of the employees are relatively young, with a quarter of them falling below the age of 39. Understanding the age demographics of the workforce can be useful for various purposes, such as planning professional development programs or implementing age-specific policies.

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Khloe is buying a car and needs to take out a loan for $25, 000. The bank is offering an annual interest rate of 4.2%, compounded monthly, for a 6 year loan. Using the formula below, determine her monthly payment, to the nearest dollar.

Answers

The answer is $391 to the nearest dollar.

4.2% / 100= 0.042
0.042 / 12= 0.0035

6 years * 12 months = 72 payments

P= 25,000 * (0.0035(1+0.0035)^72) / ((1+0.0035)^72-1

P= $391.34

To the nearest dollar: $391

find the area of the following triangles. (answer rounded off to 2 dp)​

Answers

Answer:

(a.) Area = 6.00 square units

(b.) Area = 15.59 square units

Step-by-step explanation:

(a.) The regular formula for the area of a triangle is A = 1/2bh, where

A is the area in square units,b is the base, and h is the height.

In this triangle, the height is 3 units and the base is 4 units.  Thus, we plug in 3 for h and 4 for b in the formula to find A, the area in square units:

A = 1/2(4)(3)

A = 2 * 3

A = 6

Thus, the area of the triangle is 6.00 square units.

(b.)

Before we can find the area of the triangle, we'll need to find the height.  The altitude (a line extending from the vertice to the base of the triangle) is the height)Because this is an equilateral triangle with three congruent sides, the altitude splits the base into two congruent parts, whose lengths are 3 units since 3 + 3 = 6.The altitude is perpendicular to the base and creates a right triangle embedded in the larger triangle.Thus, we have a right triangle, where the altitude/height is one side, the 3-unit side is another side, and the 6-unit side is the hypotenuse.Now we can find the height of this embedded triangle using the Pythagorean theorem, which is

a^2 + b^2 = c^2, where

a and b are the shorter sides called legs,and c is the longest side called the hypotenuse.

Thus, we can plug in 3 for a and 6 for c, allowing us to solve for b, the height of the entire triangle:

3^2 + b^2 = 6^2

9 + b^2 = 36

b^2 = 27

√(b^2) = √(27)

b = √(9 * 3)

b = 3√3 (leaving the answer in the simplest radical form will allow us to get a more exact answer when finding the area of the triangle.

Thus, the height of the triangle is 3√3 units.

Area of the triangle in (b.):

Now, we can plug in 6 for b and 3√3 for h in the triangle area formula to find A, the area of the triangle in square units:

A = 1/2(6)(3√3)

A = 3(3√3)

A = 9√3

A= 15.58845727

A = 15.59

Thus, the area of the triangle is about 15.59 square units.

I attached a picture that shows how the triangle in (b.) can be divided into two triangles.

Need all of these answered please!

Answers

The missing lengths of geometric systems are listed below:

Case 1: a = 2√13

Case 2: a = √455

Case 3: a = √185

Case 4: a = 3

Case 5: a = 48

Case 6: a = 105

How to determine the missing lengths of geometric systems

In this problem we must compute the missing lengths of geometric systems both by single right triangles and pairs of right triangles. Lengths in right triangles are related by Pythagorean theorem:

r² = x² + y²

Where:

x, y - Legsr - Hypotenuse.

Please notice that hypotenuse is the longest side of right triangle.

Now we proceed to determine the missing length in each geometric system:

Case 1:

a = √(14² - 12²)

a = 2√13

Case 2:

a = √(24² - 11²)

a = √455

Case 3:

a = √(13² + 4²)

a = √185

Case 4:

a = √(5² - 4²)

a = 3

Case 5:

a = √(52² - 20²)

a = 48

Case 6:

a = √(119² - 56²)

a = 105

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Your friend was bored one day and started making patterns using Cheerios from a new box he had opened. He laid the Cheerios on the table as such:
Based on the two images above and the information about the box, answer the following questions.
A) Identify and label the variable
B) Make a table for up to 8-figure patterns
C) Write an equation to represent the nth term of the sequence.
D) If the pattern continues, what figure number will have 20 whole Cheerios in it?
E) Is it reasonable to think this pattern would continue forever? If not, explain.
F) Based on the information provided, what is the largest figure number we can have using a full box of Cheerios?

PLS ANSWER ALL OF THE QUESTIONSSS I REALLY NEED THE ANSWERS ASAPPPPPPP PLEASE AND THANK YOU

Answers

A) The variable is n, which represents the number of the figure in the pattern.

B) Here is a table for up to 8-figure patterns:

Figure Number of Cheerios

1                      1

2                      3

3                      6

4                     10

5                     15

6                     21

7                    28

8                    36

C) The equation to represent the nth term of the sequence is n(n+1)/2.

D) If the pattern continues, the figure number that will have 20 whole Cheerios in it is 12.

E) It is not reasonable to think this pattern would continue forever. The number of Cheerios in each figure is increasing by 2 each time. This means that the number of Cheerios in the figure will eventually exceed the number of Cheerios in a box.

F) Based on the information provided, the largest figure number we can have using a full box of Cheerios is 107. This is because there are 108 Cheerios in a box, and the number of Cheerios in each figure is increasing by 2 each time.

Here is a more detailed explanation of how to answer each question:

A) Identify and label the variable

The variable is n, which represents the number of the figure in the pattern. For example, the first figure is figure 1, the second figure is figure 2, and so on.

B) Make a table for up to 8-figure patterns

Here is a table for up to 8-figure patterns:

Figure Number of Cheerios

1                        1

2                        3

3                        6

4                        10

5                        15

6                        21

7                        28

8                        36

C) Write an equation to represent the nth term of the sequence

The equation to represent the nth term of the sequence is n(n+1)/2. This equation can be derived by looking at the table of values. For example, the number of Cheerios in the first figure is 1, which is equal to 1(1+1)/2. The number of Cheerios in the second figure is 3, which is equal to 2(2+1)/2. And so on.

D) If the pattern continues, what figure number will have 20 whole Cheerios in it?

If the pattern continues, the figure number that will have 20 whole Cheerios in it is 12. This can be found by solving the equation n(n+1)/2 = 20. The solution is n = 12.

E) Is it reasonable to think this pattern would continue forever? If not, explain.

It is not reasonable to think this pattern would continue forever. The number of Cheerios in each figure is increasing by 2 each time. This means that the number of Cheerios in the figure will eventually exceed the number of Cheerios in a box.

F) Based on the information provided, what is the largest figure number we can have using a full box of Cheerios?

Based on the information provided, the largest figure number we can have using a full box of Cheerios is 107. This is because there are 108 Cheerios in a box, and the number of Cheerios in each figure is increasing by 2 each time.

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Completa para que los resultados sean múltiplos de 4

1,0000 +
250 +
+ 781

Answers

Given statement solution is :- 9086 is a multiple of 4 because it can be divided by 4 without leaving a remainder.

Sum is a way of putting all things together. The sum brings two or more numbers together to make a new total.

A multiple of a number is the product obtained when the number is multiplied by another number (integer; not a fraction).

To complete the expression so that the results are multiples of 4, we can add multiples of 4 into each of the blank spaces. Here's an option:

1.0000 + 250 + 7836

By adding these numbers, we will get a result that is a multiple of 4:

1.0000 + 250 + 7836 = 9086

9086 is a multiple of 4 because it can be divided by 4 without leaving a remainder.

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What is the equation of the line in slope-intercept form?
-2
=-=x+4
v=-15)+4
5
2
V=--x-4
5
2
V=--x+4

Answers

The equation of the line in slope-intercept form is y = 3x + 4.

We can use the combination formula to determine how many different packages can be created from a set of 24 crayons with 36 different colours.

The formula for the mixture is provided by:

n C r equals n!/r! (n-r)!

where r is the number of items we want to choose, n is the total number of items, and! stands for the factorial of a number, which is the sum of all positive integers up to that number.

In this instance, we are trying to determine how many various methods there are to choose 24 crayons from a set of 36 colours, regardless of the sequence in which they are chosen. Consequently, we can apply the following combination formula:

36 C 24 = 36! / (24! * 12!)

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In a division the dividend. Quotient and remainder are 1830, 87 and 3 respectively find the divisor?

Answers

The divisor in the division problem is 21, given the values of dividend, quotient, and remainder as 1830, 87, and 3 respectively.

To find the divisor in a division problem with the given values of dividend, quotient, and remainder, we can use the formula:

Dividend = Divisor * Quotient + Remainder

Substituting the given values:

1830 = Divisor * 87 + 3

Rearranging the equation:

Divisor * 87 = 1830 - 3

Divisor * 87 = 1827

Divisor = 1827 / 87

Divisor = 21

Therefore, the divisor in the division problem is 21, given the values of dividend, quotient, and remainder as 1830, 87, and 3 respectively.

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Given the zero: 5, -3/4, 2i, [tex]\sqrt{5}[/tex]
Find the factor for these.

Answers

The polynomial with the given zeros is [tex]x^3 - (25/4)x^2 + (19/4)ix + (30/4)i.[/tex]

To find the factors corresponding to the given zeros, we can use the fact that if a number is a zero of a polynomial, then (x - zero) is a factor of the polynomial.

Given zeros: 5, -3/4, 2i

For the zero 5, the corresponding factor is (x - 5).

For the zero -3/4, the corresponding factor is (x + 3/4).

For the zero 2i, the corresponding factor is (x - 2i).

To find the complete polynomial, we can multiply these factors together:

[tex](x - 5)(x + 3/4)(x - 2i)[/tex]

To simplify the polynomial, we can multiply the factors using the distributive property:

[tex](x^2 - 5x + (3/4)x - 15/4)(x - 2i)[/tex]

Combining like terms:

[tex](x^2 - (17/4)x - 15/4)(x - 2i)[/tex]

Expanding further:

[tex]x^3 - (17/4)x^2 - (15/4)x - 2ix^2 + (34/4)ix + (30/4)i[/tex]

Simplifying and combining like terms, we have the final polynomial:

[tex]x^3 - (25/4)x^2 + (19/4)ix + (30/4)i[/tex]

Therefore , the polynomial with the given zeros is [tex]x^3 - (25/4)x^2 + (19/4)ix + (30/4)i.[/tex]

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What is the minimum value of the function f(x)=(2x+6)(x-7)

Answers

One way to answer this is to expand the function:

    f(x) = (2x+6)(x-7)

          = 2x^2 - 14x + 6x - 42

          = 2x^2 - 8x - 42

And then use the formula [tex]x=\dfrac{-b}{2a}[/tex] to find the x-value of the vertex and then use that to find the y-value of the vertex, while is the minimum value.

x = -(-8) / 2(2)

   = 8/4

   = 2

f(2) = 2(2)^2 - 8(2) - 42

     = 2(4) - 16 - 42

     = 8 - 16 - 42

     = - 50

So the minimum value is -50, since (2,-50) is the lowest point on the parabola.

What is x in this image?

Answers

Answer:

x = 62.5

Step-by-step explanation:

the segment inside the triangle is an angle bisector and divides the side opposite the bisected angle into segments that are proportional to the other two sides, that is

[tex]\frac{x}{25}[/tex] = [tex]\frac{25}{10}[/tex] ( cross- multiply )

10x = 25 × 25 = 625 ( divide both sides by 10 )

x = 62.5

A candy bar that originally sold for $.60 undergoes a 3% price increase each year.

Answers

Both calculations from part (1) and part (2) yield the same result of $0.86 for the new cost of the candy bar after 11 years.

Part 1 of 2:

The new cost of the candy bar after 11 years can be calculated by applying a 3% price increase each year to the original cost of $0.60.

To calculate the new cost after 11 years, we can use the formula:

New Cost = Original Cost * (1 + Percentage Increase)^Number of Years

Plugging in the values:

New Cost = $0.60 * (1 + 3%)^11

        ≈ $0.60 * (1 + 0.03)^11

        ≈ $0.60 * (1.03)^11

        ≈ $0.60 * 1.432364654

Rounding to the nearest cent, the new cost of the candy bar after 11 years is $0.86.

Part 2 of 2:

If the cost of the candy bar increased by 3% of the original cost each year for 11 years, we can calculate the final cost by multiplying the original cost by (1 + 3%) for each year.

Using the formula:

Final Cost = Original Cost * (1 + Percentage Increase)^Number of Years

Plugging in the values:

Final Cost = $0.60 * (1 + 3%)^11

          ≈ $0.60 * (1 + 0.03)^11

          ≈ $0.60 * (1.03)^11

          ≈ $0.60 * 1.432364654

Rounding to the nearest cent, the final cost would also be $0.86.

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Note: The complete question is - What will be the cost of the candy bar after a specific number of years if it originally sold for $.60 and undergoes a 3% price increase each year?

What is 8 / 2(2 +2)?

Answers

Answer:

Step-by-step explanation:

do the parenthesis first (2+2)=4

then 8/2= 4

4(4)=16

An 10 (Interest Only) loan means that.


you never pay the interest on the loan

the payment is less than the interest

you only pay the interest
the loan is getting bigger


What’s an A0?

Answers

"A0" typically refers to a paper size under the ISO 216 standard, commonly known as the International Organization for Standardization (ISO) paper size system.

An "Interest Only" loan means that you only pay the interest on the loan for a specific period, typically a fixed number of years. During this period, your payments are applied only to cover the interest charges, and the principal amount of the loan remains unchanged.

An "Interest Only" loan means that you only pay the interest on the loan for a specific period, typically a fixed number of years. During this period, your payments are applied only to cover the interest charges, and the principal amount of the loan remains unchanged. As a result, the loan balance does not decrease, and you do not make progress in paying off the principal.

Once the interest-only period ends, you may have to start making payments that include both the principal and the interest, or you may need to refinance the loan. It's important to note that during the interest-only period, you are not making any progress in reducing the overall loan amount.

Regarding your second question, "A0" typically refers to a paper size under the ISO 216 standard, commonly known as the International Organization for Standardization (ISO) paper size system. However, the A0 paper size specifically refers to the largest commonly used paper size, measuring approximately 841 mm by 1189 mm (33.1 inches by 46.8 inches). It is often used for large posters, architectural plans, and other similar applications.

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Determine the coordinates for the center, vertices, endpoints of the minor axis, and foci of the ellipse x²/25+y²/9=1.​

Answers

Step-by-step explanation:

Center would be (0, 0) because the equation is (x+0)^2 and (y+0)^2

Of course this isn't the full equation but just the numerator.

Major axis would be 5, and minor axis would be 3.

The endpoints of minor axis would be (0,3) and (0,-3). The endpoints of the major axis would be (5, 0) and (-5, 0)

The length of the foci of the ellipse would be sqrt(25 - 9) =sqrt( 16) = 4. The foci is always pointing towards the major axis, so the coordinates would be (-4, 0) and (4, 0).

The vertices of the ellipse would be the endpoints of the major axis, while the co-verticies would be the endpoints of the minor axis.

What is 6721 x 381 divided by 14 + 84

Answers

To solve the expression, we need to follow the order of operations, also known as PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction).

Let's break down the expression step by step:

1. Multiply: 6721 x 381 = 2,561,901.
2. Divide: 2,561,901 divided by 14 = 182,993.64 (rounded to two decimal places).
3. Add: 182,993.64 + 84 = 183,077.64 (rounded to two decimal places).

Therefore, the result of the expression 6721 x 381 divided by 14 + 84 is approximately 183,077.64.

Answer: 26129.6

Step-by-step explanation:

6721 x 381 = 2560701

14 + 84 = 98

2560701  / 98 = 26129.6

the sector of a circle of radius 5cm subtends an angle of 3π/10 rad at the centre. (all answers to 2 dp)

a) calculate the length of the arc.

b) calculate the area of the sector.

c) calculate the area of the segment in the sector with the angle of 3π/10 rad and a radius of 5cm.​

Answers

Step-by-step explanation:

3pi / 10 * 180 / pi = 54 degrees.

The circumference of the circle would be 10 pi. Multiply this by 54/360 to get 1.5pi or 3 pi /2

Area of the circle would be 25 pi. Multiply this by 54/360 to get 3.75 pi or 15pi /4

I'm confused on part (c), is it not just the same question as part (b)?

All these answers are assuming that 3pi/10 is the central angle. If it is an inscribed angle, then the central angle would be 6pi/10 or 3pi/5.

Edit: if part (c) is talking about inscribed angle, then the degrees would be 108. Then you just multiply 25pi by 108/360 for your answer

Answer:

Step-by-step explanation:

a.

l=rθ (θ in radians)

l=5×3π/10=3π/2≈3/2×3.14≈3×1.57≈4.71 cm

area of sector=π×5²×3π/10×1/2π=15/4 π=15π/4 cm²

≈15/4 ×3.14

≈15×1.57/4

≈5.8875

≈5.89 cm²

Use the Law of Cosines. Find length x to the nearest tenth.

Answers

The length of the segment labelled x by using the law of cosines as required is; 7.6.

What is the length of segment x?

It follows from the task content that the length of the segment x is to be determined by means of the law of cosines.

It follows from the law of cosines that for the given triangle;

x² = a² + b² - 2ab Cos(C)

where a = 2, b = 7 and C = 100°

x² = 2² + 7² - (2×2×7 × cos (100))

x² = 57.86

x = 7.6

Consequently, the length of the segment labelled x is; 7.6.

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Hi can someone help me out this is due tomorrow thank you

Answers

To calculate the Mean of Scott's test score,

Mean is calculated by adding all the scores provide and dividing the sum by total counts of the numbers.

Mean = 75 + 52 + 80 + 88 + 100 = 395 = 79

5 5

Mean of the given scores is 79

Median

Median is the number that appears in the middle when the given scores are arranged in ascending order.

Median = 52, 75, 80, 88, 100. = 80

80 is the number that appears in the middle.

Median = 80.

Mode

Mode is the number that appears most frequently in the given numbers.

In this scenario, all the numbers given appear once. Therefore, Mode is 0

Mode = 0

2. Olivia's test scores

Mean = 98+92+88+92+95 = 465 =93

5 5

Mean = 93

Median

Test scores= 88,92,92,95,98

Median = 88, 92, 92, 95, 98

The number that appears in the middle is 92

Median = 92

Mode

Mode is the number that appears most frequently in the given numbers

Test scores = 88,92,98,92,95

92 appears more than once out of the test scores, therefore, 92 is the mode

Mode= 92

3. Gemma

Mean = 84+92+85+73+86 = 420 =84

5 5

Mean = 84

Median

Test scores= 84,92,85,73,86

Median = 73,84,85,86,92

85 is the number that appears in the middle

So, median= 85

Mode

Test scores= 84,92,85,73,86

Mode is the number that appears most frequently in the given numbers. All the numbers appear once. Therefore, Mode = 0

4. Chris

Test scores= 88,86,93,88,90

Mean

Mean = 88+86+93+88+90 = 445 = 89

5 5

Mean = 89

Median

Test scores= 88,86,93,88,90

Median = 86,88,88,90,93

88 is the number that appears in the middle

Median = 88

Mode

Test scores= 88,86,93,88,90

Mode is the number that appears most frequently in the numbers. 88 appears twice out of the numbers.

Mode = 88

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i am confused on finding the answer i have tried a few times and i do not understand

Answers

Answer:

11.9 cubic inches

Step-by-step explanation:

The explanation is attached below.

Answer:

11.9 in³

Step-by-step explanation:

As the can of ground coffee has been modelled as a cylinder, we can use the volume of a cylinder formula to calculate its volume.

[tex]\boxed{\begin{minipage}{4 cm}\underline{Volume of a cylinder}\\\\$V=\pi r^2 h$\\\\where:\\ \phantom{ww}$\bullet$ $r$ is the radius. \\ \phantom{ww}$\bullet$ $h$ is the height.\\\end{minipage}}[/tex]

We are told that:

    [tex]\bullet \quad \textsf{Height, $h$}=6\frac{3}{4}\; \sf inches[/tex]

    [tex]\bullet \quad \textsf{Radius, $r$}=\dfrac{3}{4}\; \sf inches[/tex]

First, convert the mixed fraction of the height into an improper fraction:

[tex]\textsf{Height, $h$}=6 \dfrac{3}{4}=\dfrac{6 \cdot 4+3}{4}=\dfrac{24+3}{4}=\dfrac{27}{4}[/tex]

Now, substitute the values of h and r into the formula for volume:

[tex]V=\pi \cdot \left(\dfrac{3}{4}\right)^2 \cdot \left( \dfrac{27}{4}\right)[/tex]

[tex]\textsf{Apply the exponent rule:} \quad \left(\dfrac{a}{b}\right)^c=\dfrac{a^c}{b^c}[/tex]

[tex]V=\pi \cdot \left(\dfrac{3^2}{4^2}\right) \cdot \left( \dfrac{27}{4}\right)[/tex]

[tex]V=\pi \cdot \left(\dfrac{9}{16}\right) \cdot \left( \dfrac{27}{4}\right)[/tex]

Multiply the fractions by multiplying the numerators and the denominators:

[tex]V=\pi \cdot \left(\dfrac{9 \cdot 27}{16 \cdot 4}\right)[/tex]

[tex]V=\pi \cdot \left(\dfrac{243}{64}\right)[/tex]

Now we have calculated the volume in terms of π.

Use a calculator to multiply the improper fraction by π:

[tex]V=\pi \cdot \left(\dfrac{243}{64}\right)=11.9282346...[/tex]

Rounding this to the nearest tenth gives:

[tex]\boxed{V = 11.9\; \sf in^3}[/tex]

Therefore, the volume of the coffee can is 11.9 in³ to the nearest tenth.

Note: If you use π = 3.14 or π = 22/7, the final answer is still 11.9 in³.

1. 4 The measured width of the office is 30mm. If the scale of 1: 800 is used, calculate the actual width of the building in metres. ​

Answers

Given statement solution is :- The actual width of the building is 0.0375 meters or 37.5 millimeters.

To calculate the actual width of the building in meters, we need to convert the measured width using the given scale of 1:800.

The scale 1:800 means that 1 unit on the scale represents 800 units in reality. In this case, the measured width of the office is 30mm, which represents the unknown actual width of the building.

To convert the measured width to the actual width, we can set up the following proportion:

(measured width) / (actual width) = (scale denominator) / (scale numerator)

In this case, the scale denominator is 800, and the scale numerator is 1. Let's plug in the values and solve for the actual width:

30mm / (actual width) = 800 / 1

To isolate the actual width, we can cross-multiply:

30mm * 1 = 800 * (actual width)

30 = 800 * (actual width)

Divide both sides by 800:

30 / 800 = actual width

0.0375 = actual width

Therefore, the actual width of the building is 0.0375 meters or 37.5 millimeters.

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If I give my brother $5$ dollars, then we will have the same amount of money. If instead he gives me $17$ dollars, then I'll have twice as much money as he will have. How much money does my brother currently have (in dollars)?

Answers

The brother currently has $34. Let's assume the amount of money you currently have is represented by the variable "x" (in dollars).

According to the given information, two scenarios are presented:

Scenario 1: If you give your brother $5, then you both will have the same amount of money. This can be expressed as:

x - 5 = x + 5

Simplifying the equation:

-5 = 5

The equation is contradictory, which means this scenario is not possible.

Scenario 2: If your brother gives you $17, then you will have twice as much money as he will have. This can be expressed as:

x + 17 = 2(x - 17)

Expanding and simplifying the equation:

x + 17 = 2x - 34

x = 51

Therefore, you currently have $51. To find out how much money your brother currently has, we substitute this value back into the equation:

51 + 17 = 2(x - 17)

68 = 2(x - 17)

34 = x - 17

x = 51.

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Solution:

Let x be the number of dollars my brother has. Since we will have the same amount of money if I give him 5 dollars, I must have x + 10 dollars. (Make sure you see why I don't have x + 5 dollars. If I give him 5 dollars of my x + 10 dollars, then we will both have x + 5 dollars.)

If he gives me 17 dollars, then he will have x - 17 dollars and I will have x + 10 + 17 = x + 27 dollars. I'll then have twice as much money as he has, so

x + 27 = 2(x - 17) Expanding the right-hand side gives x + 27 = 2x - 34, so x = 61. So, my brother has $61, and I have $71

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