5.
7.
Date: 2/9/3
3.
1.
Directions: Classify each triangle by its angles and sides.
2.
34 m
73
73
60°
7 in
15 in
123
48 m
60%
34
60°
10 in
Per: S
This is a 2-page document! **
34 m
Homework 1: Classifying Triangles
14.4 m
3 mm
6.
8.
6 m
15.6 m
20 ft
48°
3 mm
72⁰
22 ft
15 in
3 mm
17 ft
60°
24 in
106°
15 in

Answers

Answer 1

The given triangles can be classified based on their sides and angles as:

1. Isosceles, acute triangle

2. Scalene, right triangle

3. Scalene, obtuse triangle

4 Equilateral

5. Isosceles, right triangle

6. Scalene, acute triangle

7. Equilateral, acute triangle

8. Isosceles, obtuse triangle

How to Classify Triangles by Their Sides and Angles?

Triangles can be classified by both their sides and their angles.

Classification by sides:

Equilateral triangle: all three sides are of equal length.Isosceles triangle: two sides are of equal length, and the third side is of a different length.Scalene triangle: all three sides are of different lengths.

Classification by angles:

Acute triangle: all three angles are less than 90 degrees.Right triangle: one angle is exactly 90 degrees.Obtuse triangle: one angle is greater than 90 degrees.

Thus, using the sides or angles of the given triangles, they are classified as follows:

1. Isosceles, acute triangle

2. Scalene, right triangle

3. Scalene, obtuse triangle

4 Equilateral

5. Isosceles, right triangle

6. Scalene, acute triangle

7. Equilateral, acute triangle

8. Isosceles, obtuse triangle

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5.7.Date: 2/9/33.1.Directions: Classify Each Triangle By Its Angles And Sides.2.34 M7373607 In15 In12348

Related Questions

Problem #1
A motorist travelling at 90 km/h applied the brakes until the car stopped. If the stopping distance was 12 m, what was the acceleration? (-26 m/s2)

Answers

The acceleration was -26.04 m/s².

What are Equations of Motion?

Equations of motion are a set of equations which describes the basic motion concepts like velocity, position, time and acceleration.

There are mainly three equations of motion.

v = u + at

s = ut + [tex]\frac{1}{2}[/tex] at²

v² = u² + 2as

v is the final velocity, u is the initial velocity, a is the acceleration, t is the time and s is the displacement.

Given,

Initial velocity of the motorist, u = 90 km/h = 90 × (5/18) m/s = 25 m/s

Final velocity of the motorist, v = 0 m/s (since the bike stopped)

Stopping distance, s = 12 m

Using the third equation of motion,

v² = u² + 2as

0² = 25² + (2a × 12)

24a = -625

a = -625 / 24 = -26.04 ≈ -26 m/s²

Hence the acceleration of the motorist was -26 m/s².

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COWS
Tt
Lakayja brushed 24 cows in 2 hours. How many can she brush in 15 hours?

Answers

Answer: 180

Step-by-step explanation: Hope this helps :D

Answer:

180 Cows

Step-by-step explanation:

24 in 2 = 12/hr

12 cows x 15 hours = 180 cows

Can anyone help me solve this? Thank you!

Your friend sings every Saturday night at your favorite bar in San Diego. During his show, people show up at the rate of 1 person every minute.

a) What is the probability that on a random minute, at least 3 people show up?

b) What is the probability that he will have to wait at least 3 minutes for the next person to show up?

c) If he has already waited for 1 minute for the next person to show up, what is the probability that he will have to wait at least 3 more minutes for the next person to show up?

Answers

Answer:

Step-by-step explanation:

a) The number of people showing up at the bar during any given minute is a Poisson process with an average rate of 1 person per minute. Let X be the number of people who show up during a random minute. Then X follows a Poisson distribution with parameter λ = 1. The probability of at least 3 people showing up in a random minute is:

P(X >= 3) = 1 - P(X < 3) = 1 - (P(X = 0) + P(X = 1) + P(X = 2))

We can use the Poisson probability mass function to find P(X = k) for k = 0, 1, 2:

P(X = k) = (e^-λ) * (λ^k) / k!

Plugging in λ = 1, we get:

P(X = 0) = e^-1 / 0! = 1/e

P(X = 1) = e^-1 * 1^1 / 1! = 1/e

P(X = 2) = e^-1 * 1^2 / 2! = 1/2e

So, the probability of at least 3 people showing up in a random minute is:

P(X >= 3) = 1 - (P(X = 0) + P(X = 1) + P(X = 2)) = 1 - (1/e + 1/e + 1/2e) = 1 - (2/e + 1/2e) = 1 - (5/2e)

b) The probability of having to wait at least 3 minutes for the next person to show up is equal to the probability of having 0, 1, or 2 people show up during the first three minutes. Using the same calculation as above, we find:

P(X <= 2) = P(X = 0) + P(X = 1) + P(X = 2) = (1/e) + (1/e) + (1/2e) = (2/e + 1/2e) = (5/2e)

So, the probability of having to wait at least 3 minutes for the next person to show up is 1 - (5/2e) = 1 - P(X <= 2).

c) If he has already waited for 1 minute, the probability of having to wait at least 3 more minutes for the next person to show up is equal to the probability of having 0 or 1 people show up during the next 2 minutes. Using the same calculation as above, we find:

P(X <= 1) = P(X = 0) + P(X = 1) = (1/e) + (1/e) = 2/e

So, the probability of having to wait at least 3 more minutes for the next person to show up is 1 - (2/e) = 1 - P(X <= 1).

If my answer met your requirements, please rate it BRAINLY AWESOME.

4. The running track in this diagram consists of two parallel sections with semicircular sections at each end.
Determine the area of the running track.

Answers

The area of the running track, given the parallel sections and the semicircle sections, is https://brainly.com/question/30584763

How to find the area ?

To find the area of the running track, you first need to find the area of the whole shape and then the area of just the inner section.

Area of whole shape :

= Area of both semicircles + Area of the rectangle

= ( π x 46. 41 ²) + ( 85 x ( 46. 41 x 2 ))

= 14, 659.06 m ²

Then, find the area of the inner section :

=  ( π x 36. 41 ²) + ( 85 x ( 36. 41 x 2 ))

= 10, 356. 45 m ²

The area of the running track is :

= 14, 659.06 - 10, 356. 45

= 4, 302. 61 m ²

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When solving an inequality, if you the coefficient is negative, as in-3x > 9, the inequality
True
False

Answers

"When solving an inequality, if you the coefficient is negative, as in-3x > 9, the inequality" statement becomes: true

What is an inequality?

A relationship that compares two numbers or other mathematical expressions in an unequal way is known as an inequality in mathematics. On the number line, it is most frequently used to compare the sizes of two numbers. The equals sign in the equation-like phrase 7x 4 > 2x + 5 has been replaced by an arrowhead. This is a prime instance of inequality. This indicates that the left half, 7x 4, is larger than the right part, 2x + 5, in the equation. Finding the values of x for which the inequality holds true will be of importance to us.

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High Tech Chip Company is expected to have EPS in the coming year of $2.50. The expected ROE is 12.5%. An appropriate required return on the stock is 11%. If the firm has a plowback ratio of 70%, the growth rate of dividends should be

Answers

In this case, the growth rate of dividends should be 0.6875%. This is calculated as follows:

Required return on the stock = 11% Expected return on equity = 12.5%

Growth rate = (Expected return on equity - Required return on the stock) * Plowback Ratio

Growth rate = (12.5% - 11%) * 0.7 Growth rate = 0.6875%

¿Qué volumen de solución de ácido a 60% debe mezclarse con una solución a 30% para producir
300 mililitros de solución al 50%?

Answers

Answer:

Step-by-step explanation:

To solve this problem, we must first use an equation that reflects the amount of acid in each solution and its relationship to the total volume of the resulting solution. We can use the following equation:

(C1 * V1) + (C2 * V2) = (C3 * V3)

Where:

C1 = concentration of the acid solution at 60% (in percent)

V1 = volume of the acid solution at 60% (in ml)

C2 = concentration of the acid solution at 30% (in percent)

V2 = volume of the 30% acid solution (in ml)

C3 = concentration of the resulting 50% acid solution (in percent)

V3 = volume of the resulting 50% acid solution (in ml)

In this case, we know the total volume of the resulting solution (V3 = 300 ml) and the desired concentration (C3 = 50%). We also know the concentration of one of the original solutions (C1 = 60%). So we can plug the known values ​​into the equation:

(60 * V1) + (30 * V2) = (50 * 300)

Clearing V1:

V1 = (300 * 50 - 30 * V2) / 60

Now that we have V1 as a function of V2, we can solve the problem to find the volume of the 60% acid solution to mix with the 30% solution. Substitute the known values ​​into the equation:

V1 = (300 * 50 - 30 * V2) / 60

V1 = (15000 - 30 * V2) / 60

V1 = 250 - (V2 / 2)

We can use this last equation to find the volume of the 30% solution that we must mix with the 60% solution:

V2 = 2 * (250 - V1)

Clearing V1:

V1 = 250 - (V2 / 2)

V1 = 250 - (2 * (250 - V1) / 2)

V1 = 250 - 250 + V1

V1 = 250

Therefore, we must mix 250 ml of 60% acid solution with 250 ml of 30% solution to produce 300 ml of 50% solution.

pls help!!

In the xy-plane, the point (2,10) lies on the graph of the
function f(x) = 2x2 + bx - 8. What is the value of b?

(answer choices in the image attached)

Answers

In the xy-plane, the point (2,10) lies on the graph of the function f(x) = 2x^2 + bx - 8.  The value of b is 4.

What is linear equation?

A linear equation is an equation that describes a straight line in the form y = mx + b, where x and y are variables, m is the slope of the line, and b is the y-intercept. The slope of a line is the measure of how steeply the line rises or falls, and the y-intercept is the point at which the line crosses the y-axis.

In a two-dimensional coordinate system, a linear equation represents a straight line that can be graphed by plotting pairs of x and y values that satisfy the equation. The line passes through all points that satisfy the equation and no others.

We can find the value of b by using the point-slope form of a linear equation, which states that the equation of a line with slope m that passes through the point (x1, y1) is given by y - y1 = m(x - x1).

In this case, the slope of the line is equal to 4x, and the point (x1, y1) is (2, 10), so we have:

y - 10 = 4x * (x - 2)

Expanding the right-hand side, we get:

y - 10 = 4x^2 - 8x

Matching this equation with the given function f(x) = 2x^2 + bx - 8, we see that b = 4.

So the value of b is 4.

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Pls help me with this math space question

Answers

The required value of the expression at x = 4 and x = -4 is 81 and 1/81 while as x gets larger simultaneously 3ˣ approaching to infinity.

What is an exponential function?

The function which is in format f(x) =aˣ where a is constant and x is variable,  the domain of this exponential function lies   (-∞, ∞).

Here,
Given expression,

= 3ˣ

put x = 4
= 3⁴ = 81

Now put x = -4
= 3⁻⁴
= 1/3⁴

= 1/81

Since x gets larger as x = 0, 1, 2, 3, and so on 3ˣ get 1, 9, 27, 81 and so on approaching to infinity.

Thus, the required value of the expression at x = 4 and x = -4 is 81 and 1/81 while as x gets larger simultaneously 3ˣ approaching infinity.

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Mia bought five pounds of potatoes and sent a total of 3.65 for them

Answers

The cost of one pound of potato is 0.73 pounds.

What is Algebra ?

The mathematical field of algebra assists in the depiction of problems or conditions as mathematical statements. It involves variables like x, y, z, and mathematical operations like addition, subtraction, multiplication, and division to form a meaningful mathematical expression.

Now in the given question , we have to find the cost of one pound of potato.

here we have to find the cost of one pound of potato mia bought.

she total spent $3.65 for them and bought five pounds of potatoes.

cost of one pound of potato

= [tex]\frac{total spent}{total bought} = \frac{3.65}{5} =0.73 pounds[/tex]

 hence, cost of one pound of potato is 0.73 pounds.

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Angles (x+40) and (x-20) are supplementary, find the value of x​

Answers

Answer:

x = 80

Step-by-step explanation:

supplementary angles sum to 180°

sum the 2 angles and equate to 180

x + 40 + x - 20 = 180

2x + 20 = 180 ( subtract 20 from both sides )

2x = 160 ( divide both sides by 2 )

x = 80

Write the sentence as an equation.
242 fewer than the quantity 193 times n equals 131

Answers

I think this is it

252-(193×n) =131

Kelsey orders several snow globes that each come in a cubic box that measures 14
foot on each side. Her order arrives in the large box shown below. The large box is completely filled with snow globes.

Answers

The number of snow globe in box is  x³/ 2744.

What is Volume?

Each thing in three dimensions takes up some space. The volume of this area is what is being measured. The space occupied within an object's borders in three dimensions is referred to as its volume. It is sometimes referred to as the object's capacity.

Given:

length of one small cube = 14 foot.

Volume of small cube = l³

                                     = 2744 ft³

let the edge of one large cube be x.

So, volume of large cube= x ft³

Thus, number of globes in larges box

= Volume of large box/ Volume of small box

= x³/ 2744

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Brainliest if correct!!! Please help! Geometry 5th grade

Answers

Hi there, here's your answer:

The question asked here is, "Which of the following is a line segment in the  drawing?"

Let's review all the options first.

a) HD

H and D being two points of a line AK form a line segment.

b) HA

H being a point on the line AK and A being an end point of a line make HA a ray.

c) GH

Again, H being a point on line GJ and G being an end point of a line make GH a ray.

d) DI

DI are two distinct points and do not join, thus they don't form a line segment.

Therefore, the correct option is (a) HD

Hope it helps! Please mark as Brainliest!

A store owner want to develop a new snack mix by mixing chocolate and trail mix. How many pounds of chocolate costing $10.40 per pound should be mixed with 10 pound of trail mix costing $4.30 per pound to create a mixture worth $7.96. (round to the nearest pound)

Answers

Answer: 15 pounds

Step-by-step explanation:

10.4(x)+4.3(10)=7.96(x+10)

10.4x+43=7.96x+79.6

2.44x=36.6

x=15 pounds

(check my work. I may have done something wrong, but the equation should be correct.)

Write the simplest polynomial function with the given zeros: -2 , 2 , 3

Answers

Step-by-step explanation:

Zeros is another term for X intercepts.

We'd right the simplest form as (x-/+a), a being the zero

Just remember when you do that, change the signs. It shows -2, +2, +3. That becomes +2, -2, -3

Following that simple form, we get

[tex](x + 2)(x - 2)(x - 3)[/tex]

Given right triangle ABC with altitude
BD drawn to hypotenuse AC. If
AC 36 and DC = 9, what is the length
of BC?
=
C
9
D
36
X
A
B
Can someone please helppp

Answers

The measure of the length of x is equal to 20.1246 using the trigonometric ratios of cosine for angle C

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.

Considering the right triangles; ∆ABC with hypotenuse = 45 and adjacent = BC, the triangle ∆ADC with hypotenuse = BC and adjacent = 9 with the angle C we can solve for BC as follows:

for ∆ABC;

cosC = 9/BC {adjacent/hypotenuse}

for ∆ADC;

cosC = BC/45 {adjacent/hypotenuse}

9/BC = BC/45

BC² = 9 × 45 {cross multiplication}

BC² = 405

BC = √405 {take square root of both sides}

BC = 20.1246

Therefore, the measure of the length of x is equal to 20.1246 using the trigonometric ratios of cosine for angle C

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NEED HELP ASAP PLEASE! What is the equation of the function shown in the table?
Input x: -2 -1 0 1 2
Output y: -3 -1 1 3 5

A: y = -2 x + 1
B: y = 2 x + 1
C: y = 2 x - 2
D: y = - 1/2x - 1

Answers

With the data points (-2,-3) and (-1,-1), the linear equation is obtained as Option B: y = 2x + 1.

What is a linear equation?

A linear equation is one that has a degree of 1 as its maximum value. No variable in a linear equation, thus, has an exponent greater than 1. A linear equation's graph will always be a straight line.

The data points are given for the equation.

Consider the first two points (-2,-3) and (-1,-1).

The slope intercept form of the linear equation is -

y = mx + b

Here m is the slope.

For calculation of slope the formula is -

m = (y2 - y1) / (x2 - x1)

Substitute the values in the equation -

m = [(-1) - (-3)] / [(-1) - (-2)]

m = (-1 + 3) / (-1 + 2)

m = 2/1 = 2

The equation becomes y = 2x + b.

Substitute the point (-2,-3) to get the value of b.

y = 2x + b

-3 = 2(-2) + b

-3 = -4 + b

b = -3 + 4

b = 1

Therefore, the linear equation is y = 2x + 1.

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am a 4-digit number. My thousands digit is greater than 6, but less than 8 My hundreds digits is the highest even number. and ones The sum of my tens cligit a digit is equal to my hundreds digit. My tens digit is 6. Who am I?​

Answers

Answer:

From the given information, we know that:

The thousands digit is greater than 6 and less than 8, so it must be 7.

The hundreds digit is the highest even number, so it must be 8.

The tens digit is 6.

The sum of the tens and ones digit is equal to the hundreds digit, so 6 + ones digit = 8.

Solving for the ones digit, we get:

ones digit = 8 - 6 = 2

Putting the digits together, we get the number: 7862.

So, the 4-digit number that satisfies all the given conditions is 7862.

Step-by-step explanation:

Final answer:

Given the clues, the thousands digit is 7, the hundreds digit is 8, the tens digit is 6, and the ones digit is 2; therefore, the 4-digit number is 7862.

Explanation:

Given the hints, we can infer that:

The thousands digit is greater than 6, but less than 8, so it can only be 7.The hundreds digit is the highest even number, which is 8.The tens digit was specifically said to be 6.The sum of the tens and ones digit is equal to the hundreds digit. The tens digit is 6 and the hundreds digit is 8, so the ones digit must be 2 because 6 + 2 = 8.

Therefore, the 4-digit number is 7862.

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If 3250 was increased by 46%, the result would be

Answers

Answer: 4745

Step-by-step explanation:

3250 = 100%

Percent Increase = +46%

46% of 3250 = 1495

3250 (100%) + 1495 (46%) = 4745

Xin is going to invest in an account paying an interest rate of 5.8% compounded annually. How much would Xin need to invest, to the nearest hundred dollars, for the value of the account to reach $2,290 in 16 years?

Answers

The amount that should be invested in order to have $2,290 in 16 years is $929.11.

What is compound interest?

The interest on a deposit calculated using both the initial principle and the accrued interest from prior periods is known as compound interest. In other words, compound interest is interest that is earned on interest.

Here, we have

Given: Xin will invest in an account paying an interest rate of 5.8% compounded annually.

Amount to invest = Future value / (1 + r)ᵗ

Where:

r = interest rate

t = time

X = $2,290 / (1 + 0.058)¹⁶

X = 2,290 / 2.46474

X = $929.11

Hence, the amount that should be invested in order to have $2,290 in 16 years is $929.11.

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∠X = 89°, ∠Y = 90°, ∠Z = ?

Answers

∠X = 89°, ∠Y = 90°, ∠Z = 40° ∠X+∠Z=180---------> ∠X=180-∠Z-----> ∠X=180-40°----> ∠X=140°

→ (2b+6)+(3b-1)=90----> 5b+5=90----> 5b=85----> b=17°

→ ∠Z=2b+6---- 2*17+6-----> ∠Z=40°

→ ∠Y=3b-1---> ∠Y=3*17-1---> ∠Y=50°

angle Y and W are supplementary angles

so

→ ∠Y+∠W=180---------> ∠W=180-∠Y------> ∠W=180-50----> ∠W=130°

angle X and Z are supplementary angles

so

→ ∠X+∠Z=180---------> ∠X=180-∠Z-----> ∠X=180-40°----> ∠X=140°

Therefore, the answer is

∠Z=40°

Complete the table of inputs and outputs for the function.

Answers

Answer:
-9>10
-7>0
0>-35
5>-60

This net will be folded to form a prism.


A net of a rectangular prism. From top to bottom, the rectangles are labeled B, D, E, F. The left side is labeled A and the right side is labeled C.


Which pairs of faces will be opposite one another when the prism is created? Check all that apply.

D and F

A and C

A and B

B and F

B and E

B and C

E and F

A and F

Answers

Answer:

i think the answer is A and C, B and E

Answer:

D and F

A and C

B and E

Step-by-step explanation:

Cory is a bird-watcher. He estimates that 30% of the birds he sees are

American robins, 20% are dark-eyed juncos, and 20% are song sparrows. He

designs a simulation.

Let 0, 1, and 2 represent American robins.

Let 3 and 4 represent dark-eyed juncos.

Let 5 and 6 represent song sparrows.

Let 7, 8, and 9 represent other birds.

The table shows the simulation results.

05716

16803

96568

32177

33855

76635

92290

88864

72794

14333

79019

05943

77510

74051

87238

97895

86481

94036

12749

24005

According to this simulation, what is the probability that at least one of the

next five birds he sees is a song sparrow?

Answers

The probability that at least one of the next five birds he sees is a song sparrow is 0.65

How to determine the probability from the simulation

From the question, we have the following parameters that can be used in our computation:

05716    16803   96568    32177      33855

76635    92290  88864     72794    14333

79019     05943   77510      74051    87238

97895      86481   94036    12749    24005

Also, we have:

Let 0, 1, and 2 represent American robins.Let 3 and 4 represent dark-eyed juncos.Let 5 and 6 represent song sparrows.Let 7, 8, and 9 represent other birds.

Using the above as a guide, we have the following individual representations of at least one sparrow bird

Yes   Yes Yes No Yes

Yes No Yes No No

No Yes Yes Yes No

Yes Yes Yes No Yes

So, we have

At least one sparrow bird = 13

Total = 20

So, the probability is

P = 13/20

Evaluate

P = 0.65

Hence, the probability is 0.65

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Tony saved enough money to afford a car. He needs to determine if he can afford the car insurance. Tony earns $160 per week. Tony's yearly pay is $8,320 and his monthly pay is $693.

Tony's monthly car insurance will be 1/30 of his rounded yearly pay. Can he afford it?
Explain why or why not.

Answers

Tony can afford the car insurance, and he has enough money($426.33) left over each month to cover other expenses.

What is car insurance?

Automobile, truck, motorbike, and other types of road vehicles are covered by vehicle insurance. Its main purpose is to offer financial security against property loss or personal injury brought on by auto accidents, as well as against liability that can emerge from related events.

According to the information given,

Tony's yearly pay is $8,320

and his monthly pay is $693.

If we round his yearly pay to $8,000, his monthly car insurance will be 1/30 of that amount, or $266.67.

Since Tony's monthly pay is $693, and his monthly car insurance will cost $266.67, he can afford the insurance. He will have $426.33 remaining each month after paying for the insurance.

Therefore, Tony can afford the car insurance, and he has enough money left over each month to cover other expenses. However, this calculation assumes that Tony has no other major expenses or debts, and it is always a good idea to budget carefully and consider all potential costs before making a significant purchase.

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Teresa needs to make a total of 95 deliveries this week. So far she has completed 76 of them. What percentage of her total deliveries has Teresa completed?​

Answers

Answer:

Step-by-step explanation:

its Reduced to 2 / 5, which is 40 percent. Maria has 40 percent of her work completed

Two large and 1 small pumps can fill a swimming pool in 4 hours. One large and 3 small pumps can also fill the same swimming pool in 4 hours. How many hours will it take 4 large and 4 small pumps to fill the swimming pool.(We assume that all large pumps are similar and all small pumps are also similar.)

Answers

Answer:

Step-by-step explanation: We can start the problem by using the principle of Proportional Equivalents. We can write two equations based on the given information:

Let's say that the rate of filling the pool with one large pump is x and the rate of filling the pool with one small pump is y.

Then, we can write the following two equations:

2x + 1y = 1/4 (because two large and one small pump can fill the pool in 4 hours)

1x + 3y = 1/4 (because one large and three small pumps can fill the pool in 4 hours)

Now we have two equations with two unknowns, x and y. We can solve for x and y using either substitution or elimination method. Let's use substitution method.

Solving for x:

From equation (1), we have 2x = 1/4 - 1y

Substituting this value of x in equation (2), we get:

1 (1/4 - 1y) + 3y = 1/4

Expanding and simplifying, we get:

1/4 - 1 + 3y = 1/4

3y = 1/2

y = 1/6

So, the rate of filling the pool with one small pump is 1/6.

Now that we have found the value of y, we can find the value of x.

x = 1/4 - 1y = 1/4 - 1 * 1/6 = 1/4 - 1/6 = 1/12

So, the rate of filling the pool with one large pump is 1/12.

Now that we have found the rate of filling the pool with each large and small pump, we can find the time it will take 4 large and 4 small pumps to fill the pool.

Let's call the rate of filling the pool with 4 large and 4 small pumps as R.

Then, R = 4 * 1/12 + 4 * 1/6 = 1/3

So, it will take 1/R = 3 hours to fill the pool with 4 large and 4 small pumps.

What are the zeros of this function?


A. -1, 3
B. 3, 1
C. 0, 1.5
D. 1, 2

Answers

Answer:

B

Step-by-step explanation:

the zeros are the values of x on the x- axis where the graph crosses

the graph crosses the x- axis at 1 and 3

then the zeros are x = 1 , x = 3

Find the x - and y -components of the vector d⃗ = (5.0 km , 29 ∘ left of +y -axis).
Express your answer in kilometers. Enter the x and y components of the vector separated by a comma.

Answers

The x- and y-components of the vector [tex]\mathbf{\hat d }[/tex] are approximately -2.25 km and 4.30 km, respectively.

What is vector?

In physics and mathematics, a vector is a mathematical object that has both magnitude and direction. Vectors are often represented by arrows, with the length of the arrow indicating the magnitude of the vector, and the direction of the arrow indicating the direction of the vector.

For example, the velocity of a moving object is a vector quantity, because it has both a magnitude (the speed of the object) and a direction (the direction in which the object is moving).

To find the x-components and y-components of the vector [tex]\mathbf{\hat d }[/tex] = (5.0 km, 29° left of +y-axis), we can use trigonometry.

The magnitude (or length) of the vector is given by the first component, which is 5.0 km.

The angle between the vector and the positive y-axis is 29° left of +y-axis, which means it forms a 61∘ angle with the negative y-axis (since 29∘ + 61° = 90°).

The x-component of the vector can be found by multiplying the magnitude by the cosine of the angle:

x-component = magnitude x cos(angle) = 5.0 km x cos(61°) ≈ -2.25 km

The negative sign indicates that the x-component is in the opposite direction of the positive x-axis.

The y-component of the vector can be found by multiplying the magnitude by the sine of the angle:

y-component = magnitude x sin(angle) = 5.0 km x sin(61°) ≈ 4.30 km

Therefore, the x- and y-components of the vector [tex]\mathbf{\hat d }[/tex] are approximately -2.25 km and 4.30 km, respectively.

Expressed as an ordered pair, the components are (-2.25 km, 4.30 km).

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