The zoo also has a merry go round. To set up the merry go round, the zoo manager has to clear some land. The diameter of the merry go round is 18 feet. How much land does the manager need to clear in order to build the merry go round?

Answers

Answer 1

Answer:

254.34 m^2

Step-by-step explanation:

To know the amount of land that needs to be cleared, we must calculate the area that this land would occupy.

We know that the area would be determined by:

A = pi * r ^ 2

the radius is half the diameter:

r = d / 2 = 18/2

r = 9

the radius equals 9 feet, replacing:

A = 3.14 * 9 ^ 2

A = 254.34

Therefore, an equivalent amount of land 254.34 square meters would have to be cleared so that it can be built


Related Questions

kadeem and quinn both drive 25 miles. Kadeem drives at a constant speed of 50 miles an hour. Quinn drives at a constant speed of 75 miles an hour. Who takes longer to drive the 25 miles? How much loner?

Answers

Answer:

I believe it is Kadeem who takes longer by 10 minutes.

Step-by-step explanation:

A person whose speed is slow will take longer to reach so Kadeem takes longer by 0.5 hours.

Given that,
Kadeem and Quinn both drive 25 miles.
Kadeem drives at a constant speed of 50 miles an hour.
Quinn drives at a constant speed of 75 miles an hour.
To determine who takes longer to drive the 25 miles.

What is Distance?

Distance is defined as the object traveling at a particular speed in time from one point to another.

Here,
Time is taken by Kadeem to reach 25 miles with a speed of 25 miles per hour
= 25 / 50 = 0.5 hour

Time is taken by Quinn to reach 25 miles with a speed of 75 miles per hour,
= 25 / 75 = 0.34 hour

Thus, a person whose speed is slow will take longer to reach so Kadeem takes longer by 0.5 hours.

Learn more about distance here:

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what is the slope of the line passing through (2,9) and (2,-14)

Answers

Answer:

The slope is undefined

Step-by-step explanation:

When graphed, the two points form a vertical line, since we can't divide the slope by zero thw slope is considered as undefined

what is between 1/6 and 2/6 on a number line

Answers

Answer:

3/12 or 1/4

Step-by-step explanation:

To find what is between, we have to use the formula:

x + y= z

z/2 = midpoint!

So, we can do that with this number.

1/6 + 2/6 = 3/6. We could simplify it, but let’s keep it at 3/6

3/6 divided by 2 = 3/6 · 1/2 = 3/12

So, the midpoint would be 3/12.

Find the volume of a pyramid with a square base, where the area of the base is
8.7 m and the height of the pyramid is 10 m. Round your answer to the nearest
tenth of a cubic meter.

Answers

Answer: 29.0

Step-by-step explanation:

The volume of a pyramid is equal to l*w*h/ 3  and we know that the length times the width is the same as the base.

so we will multiply 8.7 * 10= 87 /3=  29

Volume = 87 m³

You need to multiply the area and the height to find the volume. If you have the length, width, and height, then you need to multiply and 3 and divide it by 3. Hope I helped :)

What is the perimiter of the rectangle? Write your answer in scientific notation.
6.2 x 10^6cm (perimiter)

Answers

You go to a poop school if they teach u that poop

Answer:

68cm

Step-by-step explanation: this is the right answer :)

What is 2x+3=x+15 pls help

Answers

Answer:

x = 12

Step-by-step explanation:

2x+3=x+15   (subtract x from both sides)

2x + 3 - x = x + 15 - x

x + 3  = 15 (subtract 3 from both sides)

x + 3 - 3 = 15 - 3

x = 15-3

x = 12

The radius of a circle is 6mm. What is the area of the shaded portion of the circle.

Answers

The area of the shaded portion of the circle is [tex]\frac{29\pi}{3} \ mm^{2}[/tex]. The correct option is b) 29 π mm² got to station 3

Area of a sector

From the question, we are to determine the area of the shaded portion.

The shaded portion in the circle is the major sector.

The area of a sector is given by the formula,

[tex]A = \frac{\theta}{360 ^\circ} \times 2\pi r[/tex]

Where [tex]\theta[/tex] is the angle subtended by the sector

and r is the radius of the circle.

From the given information,

r = 6 mm

and [tex]\theta[/tex] is the angle subtended by the major sector

Therefore

[tex]\theta = 360^\circ - 70^\circ[/tex]

[tex]\theta = 290^\circ[/tex]

Putting the parameters into the formula, we get

[tex]A = \frac{290^\circ}{360 ^\circ} \times 2\pi \times 6[/tex]

Simplifying

[tex]A = \frac{29}{3} \tim\pi \ mm^{2}[/tex]

Hence, the area of the shaded portion of the circle is [tex]\frac{29\pi}{3} \ mm^{2}[/tex]. The correct option is b) 29 π mm² got to station 3

Lear more on area of a sector here: https://brainly.com/question/10090807

How can you determine if a point is a solution to a system of linear equations?
Please Help!

Answers

Answer:

You can substitute the x value of coordinate (x,y) in the equation. If the outcome = the y value in the coordinate (x,y), then you have determined it to be on the system of linear equations.

Step-by-step explanation:

Point P has a coordinates: ( Px , Py ).

You can choose which value is easy to substitute. Eighter start with the Py or you could start with the Px. It could save you time if you pick the right one for the job.

If you want to verify if any point is valid in any (linear) equation(s), you can:

a) substitute the x value of coordinate (x,y) in the equation, and if the outcome has the same value as y in the coordinate (x,y), then that point is a valid solution of the (linear) equation.

b) substitute the y value of coordinate (x,y) in the equation, and if the outcome has the same value as x in the coordinate (x,y), then that point is a valid solution of the (linear) equation.

Answer:

You can substitute the x value into the equation if the answer for y is the same for the y coordinate you will have your answer.

Step-by-step explanation:

Thanks for all the help

Answers

Answer:

<FBE

Step-by-step explanation:

supplementary just mean 180

Answer:

∠CBG or ∠FBG

Step-by-step explanation:

Supplementary angles add up to 180°.

On Bianca's 5th birthday gift of $100 cash from her dad. Bianca's dad promises to double her money
yearly if Bianca plans to not spend money but instead deposit into "daddy's - super-saving - account".
Will Bianca be able to afford her dream car, a Mini Cooper worth $30,000 when she turns 16? Use words,
numbers, and tables to explain your answer.

Answers

Answer:

Bianca would be able to afford her dream car conveniently when she turns 16.

Step-by-step explanation:

Bianca was 5 years and wish to project her savings for the next 11 years.

On her 5th birthday, she saves $100

Her dad promises to double her money yearly with respect to a condition. So that;

On her 6th birthday, she would save $ 200

On her 7th birthday, she would save $400

On her 8th birthday, she would save $800

On her 9th birthday, she would save $1600

On her 10th birthday, she would save $ 3200

On her 11th birthday, she would save $ 6400

On her 12th birthday, she would save $12800

On her 13th birthday, she would save $25600

On her 14th birthday, she would save $51200

On her 15th birthday, she would save $102400

On her 16th birthday, she would save $204800

When she turns 16, she would have a total sum of $409500.

Therefore, Bianca would be able to afford her dream car conveniently when she turns 16.

what is 2/3 ÷ 4/5 = ?

Answers

Answer:

this is the answer:5/6.

Answer:

= 5/6

Step-by-step explanation:

2/6 ÷ 4/5

= 2/6 × 5/4

= 10/24

= 5/6

Analyze the diagram below and complete the instructions that follow.Find cos 45°

Answers

Answer: [tex]\frac{\sqrt{2} }{2}[/tex]

Step-by-step explanation: On the unit circle

Answer:

b

Step-by-step explanation:

Keith makes 8 dollars for each hour of work. Write an equation to represent his total pay p after working h hours.

Answers

Answer:

P=8h

Step-by-step explanation:

P is the total amount of dollars that Keith will make, while h is the number of hours he will work for. If you multiply the number of hours he works for and how much he makes in an hour which is 8. You will get the total amount.

is the square root of .036 a rational number?

Answers

The square root of 0.36

= [tex]\sqrt{0.36}[/tex]  = 0.6

ans: 0.36

Happy to help!

What is the Surface Area of the prism, in square centimeters?

Answers

Answer:

[tex]2( \frac{1}{2} \times 4 \times 6 ) + 2( 5 \times 10 ) + ( 6 \times 10 )[/tex]

[tex]= {184cm}^{2}[/tex]

Please help with this

Answers

Answer:

C

Step-by-step explanation:

A quadratic function can be defined as a function where the highest degree or exponent is 2. Since option B has a zero in front of the x squared, it is not a quadratic function because 0 times anything is zero. Therefore, the only other option with an exponent of 2 is C.

Hope this helped! :D

Write an equation for the line in slope-intercept form.

Answers

y = 1/2 x -3

Explanation: the y-intercept is where it crosses the y axis so the y-intercept is -3

12-3 ( x-8 ) simplify

Answers

Answer:

-3x + 36

Step-by-step explanation:

The first step is to distribute the -3 to (x - 8), like so:

12 - 3(x - 8)

12 - 3x + 24

Add like terms (12 and 24):

12 + 24 = 36

-3x + 36


Order each set of numbers from LEAST to GREATEST.

-4 , -5/4 , 0 , -5, -1.5

Answers

-5, -4, -1.5, -5/4, 0

Answer:

-5, -4, -1.5, (-5/4) -1.25, 0

Step-by-step explanation:

The higher the negative the lower the number (least).

~Anna

Need help? Contact me for tutoring!

What is the mean of the data set below? Round to the nearest tenth when necessary. 10, 30, 53 *

Answers

10+30+53=93 divided by 3 = 31 your answer is 31.

Consider circle C with angle ACB measuring StartFraction 3 pi Over 4 EndFraction radians.

Circle C is shown. Line segments A C and B C are radii. Angle A C B is StartFraction 3 pi Over 4 EndFraction radians.

If minor arc AB measures 9 inches, what is the length of the radius of circle C? If necessary, round your answer to the nearest inch.

6 inches
12 inches
18 inches
24 inches

Answers

Answer:

12 inches

Step-by-step explanation:

I just took the unit test review on edge

Since the minor arc AB measures 9π inches, the length of the radius of circle C is equal to: B. 12 inches.

Given the following data:

Arc length = 9π inches.Central angle = 3π/4 radians.

How to calculate the length of the arc?

Mathematically, the length of an arc formed by a circle is calculated by using this formula:

Arc length = rθ

Where:

r is the radius of a circle.is the angle measured in radians.

Substituting the given parameters into the formula, we have:

9π = r × 3π/4

36π = 3πr

36 = 3r

r = 36/3

Radius, r = 12 inches.

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Raheem found a worm that was 6 centimeters long what is the length of the worm in in millimeters

Answers

Answer:

60 millimeters

Step-by-step explanation:

1 centimeter is 10 milimeters. So, 6 centimeters is 60 millimeters.

*please mark brainliest*

A custodian carries a large key ring. The key ring has a radius of 4 centimeters. What is the key ring's circumference?

Answers

Answer:

About 25.13

Step-by-step explanation:

circumference equation: 2pi(r)

2pi(4) = 25.13

concrete is poured to create a slab in the shape of a rectangular prisim the slab is 50 yards long 1.5 yards wide and 0.25 yard stick how many cubic squares of concrete are needed to create slab

Answers

Answer:

18.75 cubic yards

Step-by-step explanation:

Multiply the length width and height by each other.

50 x 1.5 x 0.25 = 18.75

Answer:

18.75 yards³

Step-by-step explanation:

To solve this, we can solve for the volume of the rectangular prism by using the formula: [tex]V= l*w*h[/tex]

We can plug in the values, giving us:

V= 50×1.5×0.25= 18.75 yards³

pls help me figure this out thanks

Answers

Answer:

7√3

Step-by-step explanation:

tan 60 = v/7

√3 = v/7

v=7√3

Answer:

[tex]4 \sqrt{5 \\ } [/tex]

The _________ of a matrix is usually written as "m x n", where m is the number of rows and n is the number of columns.

Answers

Answer:

size

Step-by-step explanation:

Example: (1 0 2) has 1 row and 3 columns, so m = 1 & n = 3 and the size is 1 x 3.

You revived 1/4 pound of candy from your grandmother, 1/2 pound of candy from your sister, and 1/8 pound of candy from your best friend. How many pounds of candy did you receive?

Answers

Answer:

⅞ pound

Step-by-step explanation:

You received 1/4 pound of candy from your grandmother.

You received 1/2 pound of candy from your sister.

You received 1/8 pound of candy from your best friend.

The total amount of candy you received is given as the sum of all the candy that he received from your grandmother sister and best friend.

The total amount of candy is therefore:

¼ + ½ + ⅛ = ⅞ pound

You received ⅞ pound of candy in total.

You are going to the grocery to buy the candies for you and your sisters/brothers. You want to buy
chocolates and gums. Each chocolate costs 1.50 AED and each gum costs 0.50 AED. At the end you spent a total
of 78.50 AED. You bought a total of 87 chocolates and gums combined. You must report the number of
chocolates bought and the number of gums bought. How many chocolates were bought and how many gums
were bought?

Answers

Answer: 35 chocolates were bought and 52 gums were bought.

Step-by-step explanation:

c + g = 87    where c is the number of chocolate and g is the number og gums

1.50c + 0.50g = 78.50    solve both equations by elimination.

-1.50c - 1.50g =  -130.5

1.50   + 0.50g = 78.50

           -1g =  -52

             g= 52

1.50c + 0.50(52) = 78.50

 1.50c + 26 = 78.50

             -26     -26

1.50c = 52.5

c = 35  

I NEED HELP WITH THIS

Answers

Answer:

(i think it is for q6 so) $6

Step-by-step explanation:

4.50÷3=1.50 (that's for 1 pound of fudge)

1.50×4=6

Find the slope: (-1,5) and (2,-3)

Answers

Answer:

-2/3

Step-by-step explanation:

Answer:

(-3-5)/(2-(-1))=-8/3

Step-by-step explanation:

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