A circular pen has circumference of 77.5 feet. Approximate π to 3.14 and estimate how many sheep could be safely kept in the pen if each sheep needs at least 45 square feet.

Answers

Answer 1

Answer:

10 sheep

Step-by-step explanation:

First, we have to determine the area of the circular pen.

Area of a circle = [tex]\pi[/tex][tex]r^{2}[/tex]

But,

Circumference of a circle = 2[tex]\pi[/tex]r

So that,

77.5 = 2 x 3.14 x r

77.5 = 6.28r

r = 12.34

Radius of the pen is 12.34 feet.

Thus,

Area of the pen = [tex]\pi[/tex][tex]r^{2}[/tex]

                          = 3.14 x [tex](12.34)^{2}[/tex]

                    = 478.15

Area of the pen = 478.15 square feet

Number of sheep that can be safely kept in the pen = [tex]\frac{478.15}{45}[/tex]

                                           = 10.63

The number of sheep that can be safely kept in the pen is 10.


Related Questions

pls answer rq ty you get something out of it!!! :D

Answers

Answer:

7 boxes :)

Step-by-step explanation:

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problem 1 and 2 please do
ASAP brainiest if right please try please!!! Which value makes each equation true? Write a value for the variable that makes each equation true. Use the values in the box below. Not all values will be used.

Answers

Answer:

1. 2/7

2. 43

3. 3/7

4. 6.25

Step-by-step explanation:

Your welcome

PLEASE HELP ME I HAVE BEEN IN THIS QUESTION FOR MORE THAN 10 MINUTES PLEASE HELP

Answers

Answer:

31.40 ft^2

Step-by-step explanation:

You are trying to find the circumference, C = 2 * r * 3.14

1. To get the radius you divide the diameter by 2: 10 / 2 = 5

2. Plug your radius into the equation

C = 2 * 5 * 3.14

3. Your final answer should be 31.40 ft^2

The gateway arch in St. Louis, Missouri, is 630 feet high. A scale model of the arch is 15 inches. What is the scale of the model in inches to feet?

Answers

15 inches : 42 feet

630 ft divided by 15 in = 42 feet

(I might be wrong but I hope this helps)

Please help with practice question
Write the following equation in slope-intercept
form: x + 5y = 30

Answers

Answer:

y = -1/5x + 6

Step-by-step explanation:

y=mx+b

hope this helps :)

HURRY PLEASEEE PLEASE PLEASE!!!!!!!!!

At an amusement park, 40 percent of the tickets were sold in the first hour. If 800 tickets were sold in the first hour, which equation can be used to find the total number of tickets sold for the entire day?
StartFraction 800 divided by 40 Over 40 divided by 40 EndFraction = StartFraction 20 Over 1 EndFraction
StartFraction 100 divided by 4 Over 800 divided by 4 EndFraction = StartFraction 25 Over 200 EndFraction
StartFraction 40 times 20 Over 800 times 20 EndFraction = StartFraction 800 divided by 16,000 EndFraction
StartFraction 40 times 20 Over 100 times 20 EndFraction = StartFraction 800 Over 2000 EndFraction

Answers

Answer: 2000 tickets were sold

Step-by-step explanation:

8000 divided by 40 percent is 200

If 800 tickets were sold in the first hour, the equation representing the given condition is [tex]\frac{40 \times 20}{10 \times 200}= \frac {800}{2000}[/tex]. Option D is correct.

What is the percentage?

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

If 800 tickets were sold in the first hour, the equation representing the given condition is [tex]\frac{40 \times 20}{10 \times 200}= \frac {800}{2000}[/tex]. Option D s correct.

It is given that 40 percent of the tickets were sold in the first hour and 800 tickets were sold in the first hour,

Let the total ticket be x

40% of x =800 tickets

x = 800/40%

x=800×100/40

x=20×100

x=2000

As a result

40% of 2000 =800 tickets

(40/100)×2000 = 800

Rearrange the equations we get,


800/2000=(40×20)/(100×20),

Hence, if 800 tickets were sold in the first hour, the equation representing the given condition is [tex]\frac{40 \times 20}{10 \times 200}= \frac {800}{2000}[/tex]. Option D is correct.

Learn more about the percentage here:

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Answers

Answer:

Ok, ty i guess?

Step-by-step explanation:

Answer:

gg i will

Step-by-step explanation:

In quadrilaterals, which of them have their diagonals bisecting each other?

Answers

Answer:

In quadrilaterals all parrallelograms which incude

Rectangle, Square, Rhoumbus and Parrallelogram have their diagnoos bisecting each other

Other than Parrallelograms Non Parrallelogram shapes like Trapezium also has its Diagnols bisectneach other

Hope it helps

What are the ratios for SIN A and COS A

Answers

Answer:

A

Step-by-step explanation:

A good trick for trigonometric functions is to remember SOHCAHTOA:

Sin=Opposite over Hypotenuse

Cos=Adjacent over Hypotenuse

Tan=Opposite over Adjacent

The red arrows on the attachment indicate where opposite, hypotenuse, and adjacent are for angle A.

So in this case, the sin of angle A (opposite over hypotenuse) would be [tex]\frac{24}{26}[/tex] and cos A (adjacent over hypotenuse) would be [tex]\frac{10}{26}[/tex].

I hope this helps!

Need help! WILL MARKDOWN BRAINLIEST!

Answers

Answer:

Aren't you just suppose to multiple the 24 and 20 to get 480

Answer:

480

Step-by-step explanation:

it gives you the second step

24x20

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Some one help me before I fail this class.

Answers

35 because you can not multiply both numbers by the same number to get a smaller Greatest common multiple

Select the graph that matches the inequality.

Answers

Answer:

B

Step-by-step explanation:

im pretty sure it's B because it's a negitive

You spin the spinner once.

What is P(greater than 6)?

Answers

Answer:

it would be 25%

there is only one number that is greater than 6

Please I need help !!!

Answers

I think it would be 15 meters per second to the east.

78m divided by 5.2 seconds would be 15 meters per second.

Please help me if you can!

Find the value of x

Answers

9514 1404 393

Answer:

  x = 7

Step-by-step explanation:

The angle bisector divides the sides proportionally.

  (3x -12)/6 = 21/14

  3x -12 = 9 . . . . . . . multiply by 6 and simplify

  x -4 = 3 . . . . . . . .  divide by 3

  x = 7 . . . . . . . . . . . add 4

Calculate the volume of the cube. s= 3 in.


Help plz I will mark the first answer as brainilist​

Answers

Answer:

27

Step-by-step explanation:

what is 10+1+44+3333-45

Answers

The answer is to this is 3343
3,343 is the answer:) thx for the points

how many mins are in 4 and a half hours.

Answers

Answer:

270 minutes

Step-by-step explanation:

1 hour = 60 minutes

4 hours = 240 minutes

half hour = 30 minutes

240 minutes + 30 minutes = 270 minutes

Help!!!
The radius of a circle is 3 m. Find its circumference in terms of pi

Answers

Gotcha, bro.

(I don't know what pi is, so I'm gonna assume that it is 3.14)

C=pi x diameter

First, multiply the radius by 2 so you have the diameter.

3x2=6

Second, multiply 3.14 (pi) by 6 (diameter)

3.14x6=18.84

Therefore, the circumference is 18.84.

(19 if you round it to the whole number)

Hope this helps!

(btw if pi is something else, use these steps to help you out)

The circumference of the circle is 6π meters.

What is a circle?

A circle is a two dimensional figure with a radius and circumference of 2πr.

We have,

The circumference of a circle is given by the formula:

C = 2πr

where r is the circle's radius and π (pi) is a mathematical constant approximately equal to 3.14.

In this case, the radius of the circle is 3 meters.

Substituting this value in the formula, we get:

C = 2πr

C = 2π(3)

C = 6π

Therefore,

The circumference of the circle is 6π meters.

Learn more about Circle here:

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Two functions, A and B, are described as follows: Function A y = 9x + 4 Function B The rate of change is 3 and the y-intercept is 4. How much more is the rate of change of function A than the slope of function B? (5 points)

Answers

Answer:

The answer to this problem is 6.

Step-by-step explanation:

There are 10 students in a class:7 boys and 3 girls. If the teacher picks a group of 4 at random what is the probability that everyone in the group is a boy

Answers

Answer:

Step-by-step explanation:

Probability the first pick is a girl: 7/10

Probability the second pick is a girl: 6/9

Probability the third pick is a girl: 5/8

Probability of picking 3 girls:

7/10 * 6/9 * 5/8 =

= (7 * 6 * 5)/(10 * 9 * 8)

= (7 * 1 * 1)/(2 * 3 * 4)

=7/24

Approximately 0.29 = 29%

A 9-foot ladder leans against a building six feet above the ground. At what height would a 15-foot ladder touch the building if both ladders form the same angle with the ground?​

Answers

Answer:

10

Step-by-step explanation:

You make a proportion 9/6=15/x then multiply 6 and 15 and divide it by 9

The height the 15 ft building touches the building is approximately 10 ft.

The ladder is 9 ft tall and leaning on a wall that is 6 ft above the ground.

The situation forms a right angle triangle.

Properties of a right angle triangle:One of it angle is equals to 90 degrees.The sides and angles can be found using trigonometric ratios.

Therefore, let's find the angle made by the 9 ft ladder and then use it to find the height the 15 ft ladder touch the building.

Using trigonometric ratios,

let

∅ = angle

tan ∅ = opposite / adjacent

tan ∅ = 6 / 9 = 2 / 3

∅ = tan⁻¹ 0.6666666

∅ = 33.6900672615

Therefore, the height the 15 ft ladder touch building can be calculated as follows:

tan 33.69 = h / 15

h = 15 × 0.66666496431

h = 9.99997446476

h ≈ 10 ft.

learn more right angle triangle here: https://brainly.com/question/11821563?referrer=searchResults

What's the volume of the following cylinder?
A.288.22 cm³
B.904.78 cm³
C.874.85 cm³
D.251.01 cm³

Answers

Answer:

B

Step-by-step explanation:

you have probably finished the quiz by now but anyway

so first flip the picture so that u see the cylinder standing on its base

12 is the diameter and 8 the height

12/2 = 6=radius

finally u do

πr[tex]r^{2}[/tex]h

3.14*[tex]6^{2}[/tex]*8

**i simplified π so the answer will be 904.32**

please vote if you found this helpful :)

What is the area of the triangle?
10 cm
10 cm
8 cm
12 cm
32 square centimeters
48 square centimeters
96 square centimeters
60 square centimeters

Answers

Answer: 48 cm.

Step-by-step explanation: Area of a triangle is equal to (base * height) / 2. (12 * 8) / 2 = 48

Given the equation 8x - 2y = 4, what is the value of
slope (m) and the value of y-intercept (b)

Answers

Answer:

slope (m) = 4

y-intercept (b) = -2

Step-by-step explanation:

What is the perimeter of the rectangle?
18 m
31 m
meters

Answers

Answer 98
31+31+18+18= 98
answer: 98
31+31+18+18= 98

Help me the picture is above.

Answers

Answer:

10 because I am a bdgjndbk

2/5x 2/8
can this be simplified

Answers

Answer:

O.4x 0.25

Step-by-step explanation:

It just is as a decimal

Yea.


So the answer is 1/10 hope this helps

What is the correct value of 5x + 3 for x = 9?

Answers

Answer:

48

Step-by-step explanation:

48 is the correct answer

Help me pls it’s simply but I don’t have time

Answers

what is the length of the side of a square whose area is represented by the expression 25x² + 40x + 16?

Answer: (5x + 4)²

Hope this helps~

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