Mathematics High School

1. A goat is tied to the corner of a rectangular shed in a large field full of grass. The rope is 2 yards long and a plane view (from above) of the shed and field is shown below. Use this information for Parts A and B below.
Part A: Calculate the area of grass that the goat can eat.
Part B: What length of rope would enable the goat to eat 30 square yards of grass? Show all your reasoning.

Answers

Answer 1

Answer:

Step-by-step explanation:

Step one:

Given data

the length of the rope =2yards----the radius

(Note that the goat can only move in a circular path)

the area the goat can eat is the area of the circle it can cover

1. A= πr^2

A=3.142*2^2

A=3.142*4

A=12.57square yards

Step two:

given that the area A=30 square yards

we want to solve for the radius r

A= πr^2

30=3.142*r^2

r^2=30/3.142

r^2=9.55

r=√9.55

r=3.09 yard

The length is approximately 3 yards

Related Questions

The line passing through the points (-2, 10) and (5, -11)

Answers

Answer:

y-intercept = (0, 4)

x-intercept = (3/4, 0)

Step-by-step explanation:

1 - Find the slope

[tex]slope = m = \frac{rise}{run} = \frac{y_2~-~y_1}{x_2~-~x_1} = \frac {-11-10}{5-(-2)} = \frac {-21}{7} = -3[/tex]

2 - Plug the slope into y = mx + b and substitute a point into x and y to find the y-intercept, b, by isolating it.

y = mx + b

y = -3x + b

10 = (-3)(-2) + b

10 = 6 + b

-6 -6

4 = b

y-intercept = (0, 4)

3 - Rewrite the completed formula

y = -3x + 4

4 - Substitute 0 in for y to find the x-intercept

0 = -3x + 4

-4 - 4

-4 = -3x

-4/-3 = -3x/-3

4/3 = x

x-intercept = (4/3, 0)

Alan bought a desk on sale for $589. This price was 24% less than the original price. What was the original price?

Answers

Answer:

448$

Step-by-step explanation:

100-24/100×589$

76/100×$589

divide 76 by 100 and multiple with the price which is 589$

when 76 is divided=0.76

now we multiple 0.76times 589$

please help me out and answer this i need it ASAP <3

Answers

Answer:

[tex]y-1=\frac{5}{6}\left(x+8\right)[/tex]

I hope this is good enough:

an item is regularly priced at $95. it is on sale for 40% off the regular price. what is the sale price?

Answers

Answer:

The sale price is $57.

Step-by-step explanation:

Given that the sale is 40% discount so you will have to pay for the remaining 60%. In order to find the sale price, you will have to multiply 60% with the regular price:

[tex] \frac{60}{100} \times 95 = 57[/tex]

ANSWER FAST WILL GIVE BRAINLY. Which equation does NOT represent direct variation? (Make sure to solve for y first!)
F) y = 70x
(G) - 1/2y = x
(H) 4x - 3y = 12
(J) -7x + 14y = 0

Answers

Answer: I thinks its F...

Step-by-step explanation:

PLS I NEED HELP ANSWER WILL GIVE BRAINLIEST ANSWER BOTH QUESTIONS ONE AND TWO

Answers

I hope this is helpful

Help me with this please

Answers

i believe they are all false

a reason not to end it all (:

Answer:

3/4

Step-by-step explanation:

120/160

12/16

3/4

Jimmy typed a 36-word paragraph in 2/3 minute. What is his typing speed in words per minute?

Answers

Answer:

Jimmy's typing speed is 54 words per minute

Step-by-step explanation:

2/3-----?/60

2(20)/3(20)

40/60 is 2/3 of a minute

36/40 =9/10

9(6)/10(6) = 54/60

Answer:

Yay free points

Step-by-step explanation:

h(n) = -2n² + 4; Find h(4)
A.-28
B.68
C.28
D.-4

Answers

Answer:

-28

Step-by-step explanation:

h(4)=-2(4)^2+4

-32+4=-28

PLEASE PLEASE HELP!
The space shuttle travels at an orbital speed of 17,500 miles per hour. How many meters per minute is this?

Answers

Answer:

291.666666667

Step-by-step explanation:

one minute is 60 seconds

17500 divided by 60

291.666666667

17,500/60

60 sec = 1 min,

Need to find how many meters per minute and once you do that it should give you

291.6666667

If A= 1, Be= 7, then ADD=?

Answers

Answer:

D or DD was not given any factor, but A was given which is 1, ADD= 1 multipltied by D

PLSS ANSWER FAST
Barnaby’s grandfather is always complaining that back when he was a teenager, he used to be able to buy his girlfriend dinner for only $1.50.
a.) If that same dinner that Barnaby’s grandfather purchased for $1.50 sixty years ago now costs $25.25 , and the price has increased exponentially, write an equation that will give you the costs at different times.
b.)How much would you expect the same dinner to cost in 60 years?

Answers

Think this is right, let me know!

An equation that will give you the costs at different times is y = [tex]1.048^{t}[/tex].

The price of the dinner in 60 years will be $425.04.

What is the equation that represents the cost of the dinner?

An exponential function is usually in the form: [tex]ab^{x}[/tex].

Where:

a = initial value b = rate of growth x = number of years

Rate of increase = (cost of the meal now / cost of the meal 60 years ago)^(1 / number of years)

(25.25 / $1.50) ^(1/60) = 4.8%

y = [tex]1.048^{t}[/tex].

What will be the cost of the meal in 60 years?

25.25 x 1.048^60 = $425.04

To learn more about exponential functions, please check: https://brainly.com/question/26331578

#SPJ2

1) A ratio of 2 to 10 is the same as
*
02/14
2/12
O 1/5
2/5

Answers

Answer:1/5

Step-by-step explanation:

Two and ten divided by two equals 1 and 5 so 1/5

What is the Reciprocal of 5/12

Answers

Answer:

12/5 just flip the numbers :D

Step-by-step explanation:

Lee is buying a television with an original price of $129.00. The television is on sale for 25% off the original price. How much will the television cost after the discount?

Answers

25/100 x 129 = 32.25 so 129-32.25 = 96.75

Answer:

$96.75

Step-by-step explanation:

.25 x 129=32.25

129-32.25=96.75

find the slope of the graph given below

Answers

Answer:

[tex]-\frac{2}{3}[/tex]

Step-by-step explanation:

Find the slope from the table:

Answers

Answer: m=-5/3

Step-by-step explanation:

the student scored 18 points out of 25 what percent did he make?

Answers

He made a 72% hehehhehe

Hello good afternoon...God bless here is the answer to your following question

The student scored 18 points out of 25 which mean he got an

72%

A person places $7420 in an investment account earning an annual rate of 5.9%, compounded continuously. Using the formula V = Pe^{rt}V=Pe rt , where V is the value of the account in t years, P is the principal initially invested, e is the base of a natural logarithm, and r is the rate of interest, determine the amount of money, to the nearest cent, in the account after 20 years.

Answers

Answer:

$24147.50

Step-by-step explanation:

Step one:

given

principal=$7420

rate = 5.9%= 0.059

time = 20years

Step two:

Required

Final amount V

using the relation

[tex]V = Pe^{rt}[/tex]

Substituting we have

[tex]V = 7420e^{0.059*20}\\\\V=7420e^{1.18}\\\\V=7420*3.2543\\\\V=24147.456[/tex]

To the nearest cent

= $24147.50

The amount of money in the account after 20 years is $24147.50

7. 30 minutes to jog 3 miles; 50 minutes to jog 5 miles

Answers

Answer:

What’s the question?

Step-by-step explanation:

PLEASE HELP ASAP Light takes about 4.2 years to reach Earth from Proxima Centauri, which is the closest star to Earth other than the Sun. How many days does it take the light to travel that distance?

Answers

Answer:

1,533 days.

Step-by-step explanation:

4.2 times 360. give me brain

please an someone help me 5(−3.4k−7)+(3k+21)

Answers

Answer:

Step-by-step explanation:

Answer:

4.5k

Step-by-step explanation:

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