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.

1. A Goat Is Tied To The Corner Of A Rectangular Shed In A Large Field Full Of Grass. The Rope Is 2 Yards

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

Help me please i need some help.

Answers

Answer:

12 is the constant

Step-by-step explanation:

12 is the constant number because it doesn't have a variable that can change it

Answer:

12 is your answer have a good day!!

Tbh, Brainley community sucks because people don't actually help you with what you need help with they are just thirsty or points ..and for what? Just to ask MORE questions. So basically everyone is asking questions but only a few are giving back to the community by answering. And for that reason, I am out.

Answers

Answer:

honestly i felt that lol people on here can be wack

Answer:

I agree.

Step-by-step explanation:

Jerry purchases a used sofa for $275. He cleans and reupholsters the sofa to make it look brand new. After all the improvements, Jerry sells the sofa for 40% more than what he originally purchased it for. What was the profit Jerry made after selling the sofa?

Answers

Answer:

$110

Step-by-step explanation:

Step one:

we are told that  the cost of the sofa is $275

also, he sells it for 40% more of the cost price

let us find 40% of $275

=40/100*275

=0.4*275

=110

=$110

Step two:

This means that the selling price is 275+110

=$385

profit = selling price- cost price

profit=385-275

profit=$110

Simplify the following expression. (19x + 4y) + (49x + 32y)

Answers

Answer: 68x + 36y

Step-by-step explanation:

Combine Like Terms:

= 19x + 4y + 49x + 32y

= (19x + 49x) + (4y + 32y)

= 68x + 36y

Hope this helped you!

Answer:

68x + 36y

Step-by-step explanation:

You can compeletely get rid of the parenthesis because it is addition through and thorough.

You have 19x + 4y + 49x + 32y

You can combine like terms to get

19x +49x which is 68x

and

4y + 32y which is 36y

You now have 68 + 36y which cannot be simplified anymore because the variables are different.

Hope this helps!

what is the length of the segment​

Answers

Answer:

5 dots

Step-by-step explanation:

If it isnt is because I dont have more info

A sailor is allowed 7 days off for every 30 days at sea. For 28 days off, how many days at sea must the sailor spend?

Answers

Answer:

120 days

Step-by-step explanation:

7 days off x 4 days off = 28 days off, so you have to multiply 30 x 4 which equals 120

120 days at sea is the answer

The table below shows the total Cost per number of hours. please determine the constant of proportionality or determine if the table is proportional.​

Answers

Answer:

yes it is proportional and the constant is 45$ every # of hours

Step-by-step explanation:

Find the slope of the line between the points (-1, 3) and (5, 11).
Is the point (-4, -1) on the same line as the other two points? Use slope to justify your answer.

Answers

Answer:

Step-by-step explanation:

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}\\\\\left(x_1,\:y_1\right)=\left(-1,\:3\right),\:\\\left(x_2,\:y_2\right)=\left(5,\:11\right)\\\\m=\frac{11-3}{5-\left(-1\right)}\\\\m =\frac{11-3}{5+1}\\\\m=\frac{8}{6}\\\\Simplify\\\\m=\frac{11-3}{5-\left(-1\right)}[/tex]

Yes  (-4, -1)  is on the same line with the other wo points.

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}\\\\\\\mathrm{Slope\:}\left(-4,\:-1\right),\:\left(5,\:11\right)\\\left(x_1,\:y_1\right)=\left(-4,\:-1\right),\:\\\left(x_2,\:y_2\right)=\left(5,\:11\right)\\\\m=\frac{11-\left(-1\right)}{5-\left(-4\right)}\\\\Simplify\\m=\frac{4}{3}\\\\\mathrm{Slope\:}\left(-1,\:3\right),\:\left(-4,\:-1\right)\\\\\left(x_1,\:y_1\right)=\left(-1,\:3\right),\:\\\left(x_2,\:y_2\right)=\left(-4,\:-1\right)\\\\m=\frac{-1-3}{-4-\left(-1\right)}\\\\Simplify\\\\m=\frac{4}{3}[/tex]

Evaluate the following expression if x=12, y=6, and z=-4

Answers

Answer:

wheres the expression

Step-by-step explanation:

Answer the following question showned:​

Answers

Answer:

A: CX and XW= 25     B: BY XY= 36

C: AX AZ= 9

Step-by-step explanation:

From 70.8 minutes to 90 minutes.

Answers

70.8 mins - 90 mins = 19.2  minutes

19)
110°
A) 68°
C) 80°
B) 85°
D) 70°

Answers

Answer: D - 70 Degrees

Step-by-step explanation:

The sum of the missing degree and the degree given should equal 180 degrees.

So if you subtract 110 from 180, you get 70

Find the length of the shorter leg of a right triangle if the longer leg is 15 feet more than the shorter leg and the hypotenuse is 15 feet less than twice the shorter leg

Answers

Answer:

45

Step-by-step explanation:

Let the length of the shorter leg be represented as x.

Let the length of the longer let let be represented as x+15

While the length of the hypotenuse be 2x-15.

From the knowledge of phythagoras theorem:

x^2+(x+15)^2 = (2x-15)^2

x^2+x^2+15x+15x+225 = 4x^2-30x-30x+225

2x^2+30x+225 = 4x^2-60x+225

2x^2-4x^2+30x+60x+225-225=0

-2x^2+90x+0= 0

2x^2-90x = 0

Divide through by 2

x^2-45x=0

x(x-45)=0

x = 0 or x-45=0

Considering x-45=0

x-45=0

x = 45

If x is for the shorter leg,

The length for the longer leg is: x+15

= 45+15

= 60

For the hypotenuse = 2x-15

= 2×45-15

= 90-15

= 75

how do you find the y-intercept of a table ​

Answers

Answer:

make x zero

Step-by-step explanation:

make x zero

then solve for Y

What is the value of M ?

Answers

Answer:

m = 124 degrees.

Step-by-step explanation:

The sum of the interior angles of a triangle is 180.

The angle opposite m + 56 + 68 = 180.

The angle opposite m = 56.

The angle opposite m + m = 180, so 56 + m = 180.

Angle m = 124.

how do you find the measurement of an angle

Answers

You measure the size of an angle with a protractor. Or could be shown by an arc on the figure to indicate which angles that are congruent. Two angles whose measures together are 180° are called supplementary e.g. two right angles are supplementary since 90° + 90° = 180°.

solve for X

x=2
2+ X = _______

Answers

Answer:

2+2=4

Step-by-step explanation:

If x=2, then your new equation will be 2+2 which is =4. So your answer will be 4.

plz answer all corectly will mark brainlest plz answer within 1 hour

the last one is to reward you for your help

Answers

Answer:

for the first one I got y=-2x-2 the second part i got y=-x-1 or -1x-y-1=0  Correct me if I am wrong

Step-by-step explanation:

Use the slope formula

-4-4 =-8

  /               =-2

1 - -3=4

2. The second part use this formula y-y1=m(x-x1)

     y--4=-1(x-3)

y+4=-x+3

  -4      -4

y+0=-x-1

 y=-x-1      or -1x-y-1=0    I am not sure  

Find the y - intercept of the following equation. Simplify your answer. Y = -10x - 1

Answers

-1
In a slope intercept equation, y=mx+b B is always the Y intercept

Answer

y = 10

Step-by-step explanation:

if they are both negative they cancel each other out so -10 x -1 are both negative it would be 10 so y = 10

please mark brainly

Pls help 2n+8>12 ............................................................

Answers

Given:

The inequality is

[tex]2n+8>12[/tex]

To find:

The solution of the given inequality.

Solution:

We have,

[tex]2n+8>12[/tex]

Subtract 8 from both sides.

[tex]2n+8-8>12-8[/tex]

[tex]2n>4[/tex]

Divide both sides by 2.

[tex]\dfrac{2n}{2}>\dfrac{4}{2}[/tex]

[tex]n>2[/tex]

It means, the value of n is greater than 2.

Therefore, the solution of given inequality is n > 2.

If these numbers represent elevations in meters, which is the farthest away from sea level?

Answers

Answer:

Option (1)

Step-by-step explanation:

Minus notation of the elevations from the sea level represents the distance below the sea level and positive notation represents the elevations above the sea level.

+7 → 7 meters above the sea level

-3 → 3 meters below the sea level

[tex]+\frac{1}{2}[/tex] → 0.5 meters above the sea level

-0.8 → 0.8 meters below the sea level

+0.8 → 0.8 meters above the sea level

[tex]-\frac{1}{10}[/tex] → 0.1 meters below the sea level

-2 → 2 meters below the sea level

Therefore, +7 meters above the sea level will be the farthest point from the sea level.

Option (1) will be the answer.

express 1 as a percent

Answers

Answer:1 the answer would be 1%

Step-by-step explanation:

Answer:

1%

Step-by-step explanation:

divide 1 by 100 then get the answer

Your meal plan allows you 500 dollars to use per month. So far this month, you have used 345 dollars and you have 9 days left on this month's plan. Which inequality could you use to determine how many dollars at most you can use per day so that you don't go over your monthly plan dollars?

Answers

500 inequality (>) 345 x 9 days

A school group has $140 to spend. Write and solve an inequality that represents the cost to rent the main hall, where h represents the number of hours the group can rent the room.

Answers

Answer:

a. 15h + 40 ≤ 140

b. h ≤ 6.6

Note: The question is missing a table. The table is shown in the attachment below.

Step-by-step explanation:

a. The school group has $140 to spend, and so can only spend an amount less than or equal to $140 when renting the main hall.

The cost of renting the main includes an hourly rate of $15 and a set-up fee of $40.

Let  h represent the number of hours the group can rent the hall.

Cost of renting the main hall, C is given by:

15h + 40 ≤ 140

b. Solution of the inequality:

15h + 40 ≤ 140

15h ≤ 140 - 40

15h ≤ 100

h ≤ 100/15

h ≤ 6.6

Therefore, the main hall can only be rented for a maximum of 6.6 hours or less

10 10 points
At a restaurant you meal is $20. In addition to the cost of the meal you must pay a 5% sales tax and leave a 15% tip. What is the total
bill?

Answers

20+ 1(%5) +3(%15)=24
The total will be 24$

The number of boys in a school is 120% the number of girls at the school find the number of girls if there are 360 boys

Answers

Answer:

there are 300 girls

Step-by-step explanation:

I need an answer ASAP -

Martha is spending the afternoon at the bowling alley with friends. She rents shoes for $5 and must pay $4 per hour to participate. Represent this situation with a linear equation.

Answers-
a. y=5x+4
b. y- 4x+5
c. y= 4x
d. y=5x

Answers

Answer:

y=4x+5

Step-by-step explanation:

x= the number of hours

y= total number of money

4x means each hour = 4 dollars

5 = the rent of the shoes

Therefore, y = 4x + 5

pula pays 419.92 for 2.4 pounds of walnuts .What is the price per pounof waluts ?

Answers

174.97$ is the answer.
How I did it:
419.92 / 2.4 = 174.966 which rounds to 174.97$

6. Which line contains the point (6,-5) and has
2
a slope of .?
3
A. 2x – 3y = 27
B. 3x – 2y = 27
C. 2x – 3y = -28
D. 2x + 3y = 28

Answers

3 I think I’m sorry I’m not sure

Stephanie's cable company charges $29.95 per month, plus $3.00 for each on-demand
movie rented. If Stephanie's cable bill last month was $44.95, how many on-demand
movies did she rent last month?



Pls help me plssssssss

Answers

Answer:

5

Step-by-step explanation:

44.95-29.95=15/3=5

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