Need Help ASAP!!.

1. Error Analysis: Anita Help drew the triangle below. Her friend, Greta Life, told her that her triangle was incorrect. Who is correct? Explain.

2. The Geo Air pilot is looking at SCCA from the plane. From the aircraft the angle of depression is 17 degrees. If the plane is at an altitude of 10,000 feet, approximately how far is the plane to SCCA? Round your answer to the nearest tenth. The image is not drawn to scale.

3. Trey Rigg’s house is next to a large pine tree. The National Weather Center has issued a warning for high winds. Trey is worried that his house is at risk of being crushed by the pine tree. Trey’s house is 25 feet from the base of the tree and Trey calculates the angle of elevation to be 43 degrees from the base of his house. Find the height of the tree to determine if Trey’s house is at risk. Round your answer to the nearest tenth.

Picture 1 is for Number 1.
Picture 2 is for Number 2.
Picture 3 is for Number 3.

Need Help ASAP!!.1. Error Analysis: Anita Help Drew The Triangle Below. Her Friend, Greta Life, Told
Need Help ASAP!!.1. Error Analysis: Anita Help Drew The Triangle Below. Her Friend, Greta Life, Told
Need Help ASAP!!.1. Error Analysis: Anita Help Drew The Triangle Below. Her Friend, Greta Life, Told

Answers

Answer 1

Answer:

Part 1) Greta's right, the triangle is incorrect.

Part 2) [tex]34,203\ ft[/tex]

Part 3) The height of the tree is [tex]23.3\ ft[/tex], Trey’s house is not at risk

Step-by-step explanation:

Part 1) we know that

In the right triangle of the figure

[tex]sin(30\°)=\frac{1}{2}[/tex]

[tex]sin(30\°)=\frac{6\sqrt{3}}{12}=\frac{\sqrt{3}}{2}[/tex]

Compare

[tex]\frac{1}{2}\neq\frac{\sqrt{3}}{2}[/tex]

therefore

The triangle is not correct

Because

The side adjacent to the 30 degree angle should be [tex]6\sqrt{3}[/tex] and the side opposite the 30 degree angle should be [tex]6[/tex]

Part 2)

Let

x--------> the distance from the airplane to the SCCA (hypotenuse of the right triangle)

we know that

[tex]sin(17\°)=\frac{10,000}{x}[/tex]

[tex]x=\frac{10,000}{sin(17\°)}[/tex]

[tex]x=34,203\ ft[/tex]

Part 3)

Let

x-------->  the height of the tree

we know that

[tex]tan(43\°)=\frac{h}{25}[/tex]

[tex]h=tan(43\°)(25)=23.3\ ft[/tex]

[tex]23.3\ ft< 25\ ft[/tex]

therefore

Trey’s house is not at risk


Related Questions

The amount in an account with a beginning balance of 3000 and interest compounded continuously at an annual rate of 5.5% can be modeled by the equation A=3000^5.5t

Answers

Answer:

Step-by-step explanation:false

The owner of a large manufacturing plant pays the base rate of $11.24 per $100 in wages paid for workers’ compensation insurance. The payroll for September is $179,805. What is the month’s premium for the workers’ compensation insurance?


A $20, 210.08


B $23,459.19


C $19,357.21


D $18,650.93

Answers

Answer:

Answer is B

Step-by-step explanation:

To find the workers' compensation insurance premium, multiply the payroll for September ($179,805) by the base rate converted to decimal (0.1124), resulting in a premium of $20,210.08 (Option A).

The question involves calculating the premium for workers' compensation insurance based on the total payroll for the month of September. To determine the monthly premium, we need to apply the base rate to the total payroll amount. The base rate is given as $11.24 per $100 in wages paid. We can calculate the premium with the following steps:

Convert the base rate to a decimal by dividing by 100. This will give us 0.1124.

Multiply the total payroll amount ($179,805) by the decimal base rate (0.1124) to get the premium amount.

Let's perform the calculation:

$179,805 * 0.1124 = $20,210.08

Therefore, the correct option is:

A) $20,210.08

help idk "There are 49 dogs signed up to compete in the dog show. There are 36 more small dogs than large dogs signed up to compete. How many small dogs are signed up to compete

Answers

there are 13 small dogs that compete

please help me!!
i need this ASAP
[tex]f(3)= \sqrt[3]{ \frac{x}{ - 7x + 1} } \: \: \: \: \: \\[/tex]

Answers

Answer:

f(3) = (-∛150)/10

Step-by-step explanation:

Put 3 where x is and evaluate. If you don't want the decimal, you can rationalize the denominator to get an exact form.

  f(3) = ∛(3/(-7·3+1)) = ∛(-3/20)

  = -∛(3·50/(20·50)) = (-∛150)/10 ≈ -0.5313292845913...

_____

Multiplying numerator and denominator by 50 makes the denominator 1000, a perfect cube.

. Write an equation of the line that passes through (2, -1) and is parallel to the graph of y = 5x – 2.
Write your final equation in slope-intercept form.

Answers

PARALLEL slopes always have the same slope no matter what because they are parallel

[tex]f(x) - \frac{x^{2}-4 }{x^{4} +x^{3} -4x^{2}-4 }[/tex]


What is the:

Domain:

V.A:

RootsL

Y-Int:

H.A:

Holes:

O.A:


Also, graph it.

Answers

a) The given function is

[tex]f(x)=\frac{x^2-4}{x^4+x^3-4x^2-4}[/tex]

The domain refers to all values of x for which the function is defined.

The function is defined for

[tex]x^4+x^3-4x^2-4\ne0[/tex]

This implies that;

[tex]x\ne -2.69,x\ne 1.83[/tex]

b) The vertical asymptotes are x-values that makes the function undefined.

To find the vertical asymptote, equate the denominator to zero and solve for x.

[tex]x^4+x^3-4x^2-4=0[/tex]

This implies that;

[tex]x= -2.69,x=1.83[/tex]

c) The roots are the x-intercepts of the graph.

To find the roots, we equate the function to zero and solve for x.

[tex]\frac{x^2-4}{x^4+x^3-4x^2-4}=0[/tex]

[tex]\Rightarrow x^2-4=0[/tex]

[tex]x^2=4[/tex]

[tex]x=\pm \sqrt{4}[/tex]

[tex]x=\pm2[/tex]

The roots are [tex]x=-2,x=2[/tex]

d) The y-intercept is where the graph touches the y-axis.

To find the y-inter, we substitute;

[tex]x=0[/tex] into the function

[tex]f(0)=\frac{0^2-4}{0^4+0^3-4(0)^2-4}[/tex]

[tex]f(0)=\frac{-4}{-4}=1[/tex]

e) to find the horizontal asypmtote, we take limit to infinity

[tex]lim_{x\to \infty}\frac{x^2-4}{x^4+x^3-4x^2-4}=0[/tex]

The horizontal asymtote is [tex]y=0[/tex]

f) The greatest common divisor of both the numerator and the denominator is 1.

There is no common factor of the numerator and the denominator which is  at least a linear factor.

Therefore the function has no holes.

g) The given function is a proper rational function.

There is no oblique asymptote.

See attachment for graph.

Can someone help with either question plz

Answers

Answer:

A = 204  

Step-by-step explanation:

The formula for the area of a parallelogram is

A = bh

Data:

   P = 60

   h = AX =12

MX = 5

Calculation:

MA² = MX² + h² = 5² + 12² = 25 + 144 = 169

MA  = √169 = 13

P = 2MA + 2MH =  2MA + 2(MX + HX) = 26 + 2(5 + HX) = 60

 26 + 10 + 2HX = 60

         36 + 2HX = 60

                 2HX = 24

                   HX = 12

b = MH = MX + HX  = 5 + 12 = 17

A = bh =17 × 12 = 204

The area of the parallelogram is 204.

3 1/2 times 4 2/3 without simplest form

Answers

Answer:

12 2/6

Three times four is 12.

two times one is 2.

two times three is 6.

Answer:

3 1/2 x 4 2/3 = 98/6

*This is without simplest form*

In simplest form:

3 1/2 x 4 2/3 = 16 1/3

i am confusion ̿'̿'\̵͇̿̿\з=( ͠° ͟ʖ ͡°)=ε/̵͇̿̿/'̿̿ ̿ ̿ ̿ ̿ ̿

Answers

ANSWER:

~~~~~~~~~

Im pretty sure the answer is "Relation"

~~~~~~~~~

Relation definition:

A relation is a set of numbers that have a relationship through the use of a domain and a range.

~~~~~~~~~

HOPE THIS HELPS!!!

≠GoodLuck

It is a relation because even if they are negative they still can have a relation between them. Hope this is helpful for you!

Suppose the number of items you can deliver in a day is a random variable with some unknown distribution with a mean = 35 and a standard deviation of 8. What is the probability a random sample of 36 days would have a mean between 32.6 and 34.6?

Answers

Answer:

P = 0.3462

Step-by-step explanation:

See attached photo for work.

We have a sample mean of 35, a sample standard deviation of 8, and a sample size of 36.  

You need to see that the probability of the number of items you can deliver in a day is between 32.6 and 34.6.

The answer is 0.3462, so there's about a 34.62% chance that you will deliver an average of 32.6 to 34.6 packages per day.

The probability a random sample of 36 days would have a mean between 32.6 and 34.6 is 0.3462

What is probability?The chance of happening of an event is called probability.Probability is always less then 1 What is mean?

Mean is actually the average of all the observations.

What is standard deviation?

A standard deviation (or σ) is a measure of how dispersed the data is in relation to the mean

What is z-score?

A z-score is a numerical measurement that describes a value's relationship to the mean of a group of values.

How to find the probability of the random sample?

According to the problem,

Mean = 35Standard Deviation = 8Sample = 36

Here we need to find  P(32.6 < x < 34.6)

Firstly we should find the z-score of 32.6 and 34.6

[tex]z_{32.6}[/tex] = [tex]\frac{32.6-35}{\frac{8}{\sqrt{36} } }[/tex] = - 1.80

[tex]z_{34.6} = \frac{34.6-35}{\frac{8}{\sqrt{36} } }[/tex] = -0.30

∴ P(32.6 < x < 34.6) = P ( -1.80 < z < -0.30)

= P(z< -0.30) - P(z < -1.80)

= 0.3821 - 0.0359 = 0.3462

∴  The required probability is 0.3462

Find out more about "Probability" here : https://brainly.com/question/24756209

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Please help with this problem! :)

Answers

Answer:

∠STP = 90°

Step-by-step explanation:

The diagonals of a square are perpendicular bisectors of each other, hence

∠STP = 90°

5x + 3y = -2 3x + 2y = -1 Solve the system of equations. A) (-1, 1) B) (1, -1) C) (-1, -2) D) ( 1 3 , 1)

Answers

Answer:

Here is what i can do i can not exactly tell you the answer but I can help you understand to find the answer because were here to help each other but telling each other the answers is not the key because on an real test you cant use Brainly .com to help you find the answer because they need to see what you know not the internet.

Step-by-step explanation:

Answer:

The correct option is A) (-1, 1)

Step-by-step explanation:

See the image

Leah loves chicken wings and is comparing the deals at three different restaurants. Buffalo Bills has 888 wings for \$7$7dollar sign, 7. Buffalo Mild Wings has 121212 wings for \$10$10dollar sign, 10. Wingers has 202020 wings for \$17$17dollar sign, 17. Which restaurant offers the lowest price per wing?

Answers

Cost of chicken wings at Buffalo Bills = 8 wings for $7

Cost of 1 wing at Buffalo Bills = [tex]\frac{7}{8} =0.875[/tex]

Cost of chicken wings at Buffalo Mild Wings = 12 wings for $10

Cost of 1 wing at Buffalo Mild Wings = [tex]\frac{10}{12}= 0.833[/tex]

Cost of chicken wings at Wingers = 20 wings at $17

Cost of 1 wing at Wingers = [tex]\frac{17}{20}= 0.850[/tex]

Hence, comparing all the three costs per wing, we can see that Buffalo Mild Wings is serving chicken wings at lowest price of $0.833 per wing.

Answer:

It is B

Step-by-step explanation:

The length of a rectangle is x and the width is 2x-8. If the area of the rectangle is 234 yd^2, find the value of x.

Answers

Answer:

x = 13

Step-by-step explanation:

The area of a rectangle is found by A = l*w. Since the length here is x and the width is 2x - 8, substitute these values and A = 234 to solve for x.

[tex]A = l*w\\234 = x(2x-8)\\234 = 2x^2 - 8x[/tex]

To solve for x, move 234 to the other side by subtraction. Then remove the common factor between all three terms of 2. Factor and solve.

[tex]2x^2 - 8x  - 234 = 0 \\2(x^2 - 4x - 117) = 0\\2(x - 13)(x+9) = 0\\[/tex]

Set each factor equal to 0 and solve.

x - 13 = 0 so x = 13

x + 9 = 0 so x = -9

Since x is a side length and length/distance cannot be negative, then x = 13 is the length of the rectangle.

P=−4b ^2+6b−9
Q=7b ^2−2b−5 ​
P − Q =

Answer is :−11b^2+8b−4

Answers

Answer:

see explanation

Step-by-step explanation:

P - Q

= - 4b² + 6b - 9 - ( 7b² - 2b - 5) ← distribute by - 1

= - 4b² + 6b - 9 - 7b² + 2b + 5 ← collect like terms

= - 11b² + 8b - 4

Answer:

[tex]\large\boxed{P-Q=-11b^2+8b-4}[/tex]

Step-by-step explanation:

[tex]P=-4b^2+6b-9\\Q=7b^2-2b-5\\\\P-Q=(-4b^2+6b-9)-(7b^2-2b-5)\\P-Q=-4b^2+6b-9-7b^2-(-2b)-(-5)\\P-Q=-4b^2+6b-9-7b^2+2b+5\qquad\text{combine like terms}\\P-Q=(-4b^2-7b^2)+(6b+2b)+(-9+5)\\P-Q=-11b^2+8b-4[/tex]

Please help me out if possible!!!!

Answers

Answer:

∠PST = 45°

Step-by-step explanation:

The diagonals of a square bisect the angles

∠SPQ = 90° ⇒ ∠SPT = 45°

Choose the correct graph to fit the inequality.

x ^2 - y^ 2 <9

Answers

Answer:

It is the second one

⇒The given inequality is

x²-y²<9

 [tex]\frac{x^2}{3^2}-\frac{y^2}{3^2}<1[/tex]

⇒The general equation of Hyperbola is

 [tex]\frac{x^2}{a^2}-\frac{y^2}{b^2}=1[/tex]

→The curve will cut the x axis at (3,0) and (-3,0).

So, the given function matches with the curve of Hyperbola.

⇒When the points are from [-3,3] , the function will satisfy the given Inequality.That is if you take , points prescribed in the given interval the function will satisfy the inequality.

⇒Graph B

a person reaching out to the edge of a building edge of a building ledge 85 feet off the ground flicks a twig up and off the ledge with an initial upward velocity of 11 feet per second. what is the maximum height of the twig? when will the twig hit the ground?​

Answers

Final answer:

The maximum height of the twig is approximately 0.570 meters. The twig will hit the ground approximately 0.683 seconds after being flicked up.

Explanation:

To find the maximum height of the twig, we can use the kinematic equation for vertical motion. The equation is given by:

h = v0y2 / (2g)

Where:

h is the maximum height

v0y is the initial vertical velocity

g is the acceleration due to gravity (approximately 9.8 m/s2)

Plugging in the values, we have:

h = (11 ft/s)2 / (2 * 9.8 m/s2)

Converting the initial velocity from feet per second to meters per second:

11 ft/s * 0.3048 m/ft = 3.35 m/s

Substituting the values into the equation:

h = (3.35) / (2 * 9.8)

Simplifying the equation:

h = 0.570 m

Therefore, the maximum height of the twig is approximately 0.570 meters.

To find when the twig will hit the ground, we can use the equation for time in vertical motion:

t = 2 * v0y / g

Plugging in the values, we have:

t = 2 * 3.35 m/s / 9.8 m/s2

Simplifying the equation:

t = 0.683 s

Therefore, the twig will hit the ground approximately 0.683 seconds after being flicked up.

Evaluate the expression(-3.8)+0+y for the given values of y.


y value value of expression

-3.3 -7.1

-2.6

1

4.2

Answers

Answer:

y = -3.3 then  -7.1

y = -7.1 then  -10.9

y = -2.6 then -6.4

y = 1 then -2.8

y = 4.2 then 0.4

Step-by-step explanation:

(-3.8)+0+y can be simplified to -3.8 + y. Evaluate each value for y by substituting it into the expression and solving.

y = -3.3 then -3.8 + -3.3 = -7.1

y = -7.1 then -3.8 + -7.1 = -10.9

y = -2.6 then -3.8 + -2.6 = -6.4

y = 1 then -3.8 + 1 = -2.8

y = 4.2 then -3.8 + 4.2 = 0.4

Final answer:

To evaluate the expression (-3.8) + 0 + y, substitute the given value of y and perform addition.

Explanation:

To evaluate the expression (-3.8) + 0 + y, you simply substitute the given value of y into the expression and perform the addition. Let's evaluate the expression for each given value of y:

For y = -3.3:(-3.8) + 0 + (-3.3) = -7.1For y = -2.6:(-3.8) + 0 + (-2.6) = -6.4For y = 1:(-3.8) + 0 + 1 = -2.8For y = 4.2:(-3.8) + 0 + 4.2 = 0.4

Thus, the values of the expression for the given values of y are:

For y = -3.3, the value of the expression is -7.1For y = -2.6, the value of the expression is -6.4For y = 1, the value of the expression is -2.8For y = 4.2, the value of the expression is 0.4

Learn more about Evaluating Expressions here:

https://brainly.com/question/21469837

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Mary mixies white paint and blue paint in the ratios 2:3. She makes a total of 20 litres of paint. How much more blue paint does she needs to add to the mixture so the ratios of white paint to the blue paint become 1:7?

Answers

Answer:

44 liters

Step-by-step explanation:

It is 44 liters !!!!!

Identify the range of the function shown in the graph.

Answers

Answer:

A

All real numbers

Step-by-step explanation:

Given in the question a graph

To find the range of graph

The range is the set of possible output values, which are shown on the y-axis.

We can see in the graph that for negative values of x it have positive values, zero and negative values of y.

The graph extends vertically from (-∞,∞), along the y axis. So the range of the function shown in the graph is (-∞,∞).  

Hence, it is concluded that range is All real numbers

Blocks numbered 0-9 are placed in a box and a black is randomly picked the probability of picking an odd prime number is

Answers

Answer:

Step-by-step explanation:

[tex]B_n = 0, 1, 2, 3, 4, 5, 6, 7, 8, 9\\B_p = 2, 3, 5, 7\\B_{o_p} = 3, 5, 7\\[/tex]

There are 3 odd primes, namely : 3, 5, 7

The total amount of blocks is 9

The odds of picking and odd prime is [tex]\frac{3}{9} \cdot 100\% = 33,(3)\%[/tex]

Javier and Kyle work installing windows and can earn extra money by installing doors. Last week, Javier earned $56 more than Kyle because of door installations. The expression below represents Javier's pay for the week: 14w + 56 What does the constant term of the expression represent?

Answers

Answer:

  The money Javier earned installing doors.

Step-by-step explanation:

The problem statement gives insufficient information to answer the question with certainty.

The $56 extra earnings from door installation seems to match the 56 added as a term in Javier's pay, so we assume they are related. There is nothing else in the problem statement suggesting that to be the case.

_____

Comment on this problem

The problem fails to teach anything about math or critical thinking. Rather, it requires a student to jump to conclusions without any basis in reasoning. If the rest of the curriculum materials are like this, they should be rejected.

Condense the following logs into a single log:

[tex]8log_{g} x+5log_{g} y[/tex]

[tex]8log_{5} x+\frac{3}{4} log_{5} y-5log_{5} z[/tex]

Answers

QUESTION 1

The given logarithm is

[tex]8\log_g(x)+5\log_g(y)[/tex]

We apply the power rule of logarithms; [tex]n\log_a(m)=\log_(m^n)[/tex]

[tex]=\log_g(x^8)+\log_g(y^5)[/tex]

We now apply the product rule of logarithm;

[tex]\log_a(m)+\log_a(n)=\log_a(mn)[/tex]

[tex]=\log_g(x^8y^5)[/tex]

QUESTION 2

The given logarithm is

[tex]8\log_5(x)+\frac{3}{4}\log_5(y)-5\log_5(z)[/tex]

We apply the power rule of logarithm to get;

[tex]=\log_5(x^8)+\log_5(y^{\frac{3}{4}})-\log_5(z^5)[/tex]

We apply the product to obtain;

[tex]=\log_5(x^8\times y^{\frac{3}{4}})-\log_5(z^5)[/tex]

We apply the quotient rule; [tex]\log_a(m)-\log_a(n)=\log_a(\frac{m}{n} )[/tex]

[tex]=\log_5(\frac{x^8\times y^{\frac{3}{4}}}{z^5})[/tex]

[tex]=\log_5(\frac{x^8 \sqrt[4]{y^3} }{z^5})[/tex]

A chemist needs 30mL of a 12% acid solution for an experiment. The lab has available a 10% solution and a 25% solution. How many milliliters of the 10% solution and how many milliliters of the 25% solution should the chemist mix to make the 12% solution?

Answers

parts of 10% soln, x

parts of 25% soln, y

total soln, x+y =30

{x(0.1) + y(0.25)}/(x + y) = 0.12...eqn 1

x + y = 30...eqn 2

from eqn 2...=》 x = 30-y

subst for x in eqn 1...

=》 {(30-y)(0.1) + y(0.25)}/ 30-y+y = 0.12

=》 (3-.1y+.25y)/30 =0.12

=》 3+.15y = 3.6

=》 .15y = .6

=》 y =4

using x = 30 - y = 26

ans

26ml of 10% soln

4ml of 25% soln

Using a system of equations to represent the scenario, 26mL of 10% solution and 4mL of 25% solution would be required.

Let ;

Amount of 10% solution = a Amount of 25% solution = b

a + b = 30 - - - - (1)

0.1a + 0.25b = (0.12 × 30)0.1a + 0.25b = 3.6 - - - (2)

From (1)

a = 30 - b - - - (3)

Substitute (3) into (2)

0.1(30 - b) + 0.25b = 3.6

3 - 0.1b + 0.25b = 3.6

0.15b = 0.6

b = 0.6/0.15

b = 4

From (3) :

a = 30 - 4

a = 26

Hence, 26mL of 10% solution and 4mL of 25% solution would be required.

Learn more : https://brainly.com/question/24423994

Can someone help me on this question

Answers

Answer:

9

Step-by-step explanation:

✯Hello✯

↪  There is a quadratic formula that needs to be used. 4ac and b^2 are a part of this formula

↪  First we need to work out the Values for A and B and C

A = 1

B = 5

C= 4

↪  now we can substitute this into what the equation is asking. (5)^2-4(1)(4)=9

↪  The answer is 9

↪   I hope this helps you :)

❤Gianna❤

Please help me. I need help with this

Answers

See the attached picture:

Work parentheses from inside out, and don't forget to multiply/divide together, left to right, and then do the same for add/subtract.

Answers

Answer:

This is correct PEMDAS

Step-by-step explanation:

Parentheses

Exponents

Multiplication/Division

Addition/Subtraction


Collin is buying dirt to fill a garden bed that is a 9ft by 16ft rectangle. If he wants to fill it to a depth of 4 inches, how many cubic yards of dirt does he need? If dirt costs $25 per yard cubed, how much will the project cost?

Answers

Answer:

Cubic yards of dirt needed for project = [tex]1\frac{7}{9}[/tex] cubic yards

Cost of Project = About $44.44

Step-by-step explanation:

To find number of cubic yards of dirt needed, we need to find the volume.

Rectangular Prism Volume = length * width * depth

Note: Length is 9ft, width is 16ft, depth is 4 inches. We need to change depth to ft. So 4 inches = [tex]\frac{1}{3}[/tex] feet.

Now finding the volume (in cubic ft) =  [tex]9*16*\frac{1}{3}=48[/tex]

We know 3 feet is  1 yard. To convert cubic feet to cubic yards, we have to divide it by (3)^3 = 27. Hence:

[tex]\frac{48}{27}=\frac{16}{9}[/tex] cubic yards

* Since dirt is $25 per cubic yard, to find cost, we multiply 25 by 16/9. Hence

Cost of Project = 25 * 16/9 = 400/9 = $44.44

Final answer:

Collin needs to buy 1.76 cubic yards of dirt to fill his 9ft by 16ft garden bed to a depth of 4 inches, and the total cost for the dirt will be $44.

Explanation:

To calculate the cubic yards of dirt Collin needs for his 9ft by 16ft garden bed at a depth of 4 inches, we must first convert the dimensions to consistent units and then find the volume. One yard is equivalent to 3 feet, so the bed has dimensions of 3 yards by 5.33 yards (since 9ft / 3 = 3 yards and 16ft / 3 ≈ 5.33 yards). The depth must also be converted from inches to yards: 4 inches is equal to 4/36 or approximately 0.11 yards (because there are 36 inches in a yard).



Now we'll calculate the volume in cubic yards: 3 yards * 5.33 yards * 0.11 yards = 1.76 cubic yards. Next, to find the total cost, we multiply the volume by the cost per cubic yard: 1.76 * $25 = $44. So, Collin will need to pay $44 to fill his garden bed with dirt.



Here are some of the conversions and calculations used:

9ft / 3ft per yard = 3 yards (Length)16ft / 3ft per yard = 5.33 yards (Width)4 inches * (1 yard / 36 inches) = 0.11 yards (Depth)Volume of dirt needed = Length * Width * DepthTotal cost = Volume * $25 per yard cubed

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Find the area of a rectangle with a length of 27 8 inches and a width of 1 2 inch.

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3336_____________________________

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