Mathematics College

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:

9.42 yd²3.57 yd

Step-by-step explanation:

Part A

The area of circle with radius of 2 yd (the length of the rope) is:

A = π*r² = 3.14*2² = 12.56 yd²

Since 1/4 of the circle is occupied by the shed, the area of the grass is:

12.56*3/4 = 9.42 yd²

Part B

Let the area be 30 yd², finding the r as per above formula:

3/4*3.14*r² = 30r² = 30*4/3*3.14r² = 12.74r = √12.74r = 3.57 yd

Related Questions

what does zero stand for

Answers

Zero stands for 0, or the middle of the graph

On a number line zero is in between negative and positive and is the lowest whole number you can make before you go to the negative side

which of the following are true of linear functions?

Answers

Answer:

1. 3. 6.

Step-by-step explanation:

Answer:

There is exactly one output for each input.

The graph of a linear function is a straight line.

A linear function has a constant rate of change.

Step-by-step explanation:

68 over 100 is what %

Answers

Answer: it should be 68%

How many times greater is the value of the 7 in 70,048 than the value of 7 in 17,992

Answers

Five exterior angles of a hexagon are 41° 32°,67º 71°, and 55°, What is the measure of the sixth exterior
angle
Can yo help me

Laura took a test and got 45 questions right which is a grade of 75%. How many questions were there in all?

Answers

Answer:

60 questions in total

Step-by-step explanation:

75% of 60 is 45

hope this helps :3

if it did pls mark brainliest

Please help and leave a small explanation!

Answers

The answer is C because A and X are in the same place.

C because the angles match up together. Triangle ABC congruent to triangle XYZ. angle A = angle X, angle B is congruent to Y, angle C is congruent to Z. They match up. The vertex’s (B &Y are congruent) because they are both vertex’s. I hope this makes sense.

x-1/4(12-x)=x+3(4-x)-2x

A.) -20/7
B.) 20/7
C.) 7/20
D.) -7/20

Answers

Answer:

The answer is B

Step-by-step explanation:

hope this helps

what number makes equation true enter the answer in the box
_ / 6 = 7

Answers

Answer:

Step-by-step explanation:

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rhw

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erg

rth

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rth

hrt

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hhhhhhhhhhhhhhhhhhhhhhhhh

/questio

The sum of a number and five more than the number is fifteen

Answers

Answer:

Step-by-step explanation:

5 plus 5 more than 5 is 15

Multiply the pairs of numbers and match them to their products.

Answers

Answer:

-1.2*-7=8.4 -2.5*-2=5 2.5*-2=-5 -1.2*7=-8.4

Step-by-step explanation:

I’m stuck on all of these
:( any help would be very appreciated

Answers

Answer:

1. 8x^3+6x^2+7

Step-by-step explanation:

In a normal distribution, 95% of the data fall within how many standard
deviations of the mean?
O A. Two standard deviations
O B. One standard deviation
C. It cannot be determined from the given information.
O D. Three standard deviations

Answers

In a normal distribution, 95% of the data falls within two standard deviations.

What is a normal distribution?

The most typical distribution function for independent, randomly produced data is the normal distribution, commonly known as the Gaussian distribution. Every statistical report uses this well-known bell-shaped curve, from survey analysis and quality control to resource allocation.

Here,

We have to determine in a normal distribution, 95% of the data fall within how many standard deviations of the mean.

We concluded that 95% of the data points will fall within two standard deviations of the mean. 99.7% of the data points will fall within three standard deviations of the mean.

Hence, In a normal distribution, 95% of the data falls within two standard deviations.

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The table below represents equivalent ratios.

X y
6= 10
12 = 20
??= 45

Answers

Answer:

Step-by-step explanation:

6/10=12/20 because when you cross multiply, 120=120, so then you can do wither 6/10=x/45 and when you cross multiply you get 270=10x and 270/10=27.

An artist mixes colors for a painting. She mixes 1.5 ounces of blue with 2.5 ounces of yellow to get the perfect shade of green. If she determines that she will need 12 ounces of green, how much yellow paint will she need?

Answers

Answer:

4.5 ounces of yellow and 7.5 ounces of blue will create 12 ounces of the perfect shade of green.

Step-by-step explanation:

1.5 + 2.5 = 4 ounces.

Multiply by 3

4.5 + 7.5 = 12 ounces

So, she needs 4.5 ounces of yellow.

HELP ASAP TEST SOON IMMA FAIL THAT B! HELLLPPPPP! DUE IN 10 MINS HELP! 1. What equation is represented on the graph below?

Answers

Step-by-step explanation:

1 is the starting point since it is on the the axis.

then you would use the rise over run method to get the fraction. it rises by two and runs by 1 which would get you 2/1. so the answer should be y=1+2/1

(it is an addition sign since it is a positive slope)

Problem 2. A random variable has the following density function:
f (x) = 1- 0.5x 0 < x < 2

a. Graph the density function.
b. Verify that f(x) is a density function.

Answers

If f(x) is a density function, then its integral over the entire real line should be 1:

[tex]\displaystyle\int_{-\infty}^\infty f(x)\,\mathrm dx=\int_0^2(1-0.5x)\,\mathrm dx=(x-0.25x^2)\bigg|_0^2=2-1=1[/tex]

so yes, f(x) is indeed a density function.

what is the percentage of change for the cost of cheeseburger if in the year of 2000 it was $5.00 and in 2015 is $6.50.

Answers

Answer:

$2.50

2015: $2.00

2000: $7.50

2000: $5.00

2000: $2.00

2015: $9.00

2015: $6.50

2015: $4.50

2010

1. what is the percent of change in the cost of a pizza? _ a

x 150

100 1.50 p1500 750 1155oo.

150 isg

2. what is the percent of change in the cost of a cheeseburger?

175

6.50

1.50

Step-by-step explanation:

10 POINTS IF SOMEONE COULD HELP ME WITH THIS!! :(

Elevator 1 in a building moved from ground position to a final position of +16 feet. Elevator 2 in the same building moved from ground to a final position of –25 feet. Which statement best describes the final positions of these two elevators?

a) Elevator 1 is 16 feet below ground level, and elevator 2 is 25 feet above ground level.

b) Elevator 1 is 16 feet above ground level, and elevator 2 is 25 feet below ground level.

c) Elevator 1 is 16 feet above ground level, and Elevator 2 is 25 feet below the position of Elevator 1.

d) Elevator 1 is 16 feet below ground level, and Elevator 2 is 25 feet above the position of Elevator 1.

Answers

Answer:

Your answer is B) Elevator 1 is 16 feet above ground level, and elevator 2 is 25 feet below ground level.

Mark as brainliest if it's correct!

2E What is the greatest whole number less than 1000 that:
(1) can be expressed as the sum of two consecutive whole numbers, and
(2) can be expressed as the sum of three consecutive whole numbers, and
(3) can be expressed as the sum of five consecutive whole numbers

Answers

Answer:

(1) 499 and 500 are the greatest consecutive whole numbers whose sum is less than 1000.

(2) 332, 333 and 334 are the greatest consecutive whole numbers whose sum is less than 1000.

(3) 197, 198, 199, 200 and 201 are the greatest consecutive whole numbers whose sum is less than 1000.

Step-by-step explanation:

(1) Let be [tex]n \in \mathbb{Z}[/tex], such that:

[tex]n + (n+1) < 1000[/tex]

[tex]2\cdot n +1 < 1000[/tex] (Eq. 1)

Then we solve the inequation by algebraic means:

[tex]2\cdot n < 999[/tex]

[tex]n < \frac{999}{2}[/tex]

[tex]n < 499.5[/tex]

Which means that greatest value of [tex]n[/tex] is 499. In consequence, 499 and 500 are the greatest consecutive whole numbers whose sum is less than 1000.

(2) Let be [tex]n \in \mathbb{Z}[/tex], such that:

[tex]n+(n+1)+(n+2) < 1000[/tex]

[tex]3\cdot n + 3 < 1000[/tex] (Eq. 2)

Then we solve the inequation by algebraic means:

[tex]3\cdot n < 997[/tex]

[tex]n < \frac{997}{3}[/tex]

[tex]n < 332.333[/tex]

Which means that greatest value of [tex]n[/tex] is 332. In consequence, 332, 333 and 334 are the greatest consecutive whole numbers whose sum is less than 1000.

(3) Let be [tex]n \in \mathbb{Z}[/tex], such that:

[tex]n +(n+1)+(n+2)+(n+3)+(n+4) < 1000[/tex]

[tex]5\cdot n + 10 < 1000[/tex] (Eq. 3)

Then we solve the inequation by algebraic means:

[tex]5\cdot n <990[/tex]

[tex]n < \frac{990}{5}[/tex]

[tex]n < 198[/tex]

Which means that greatest value of [tex]n[/tex] is 197. In consequence, 197, 198, 199, 200 and 201 are the greatest consecutive whole numbers whose sum is less than 1000.

You work in a hospital, and instructions for an instrument state that it should be cleaned in the
sterilizer for two hours. The sterilizer requires cleaning time be entered in minutes. How many
minutes do you set for the sterilizer?
A. 90
B. 120
C. 180
D. 240
E. 500

Answers

Answer:

Step-by-step explanation:

120/60=2

2 hours

The time required in minutes to set the sterilizer is 120. The correct option is B.

What is an expression?

The mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other properties.

Given that you work in a hospital, instructions for an instrument state that it should be cleaned in the sterilizer for two hours.

The time in minutes will be calculated as:-

Time = 2 hours

Time = 2 x 60 minutes

Time = 120 minutes

Therefore, the time required in minutes to set the sterilizer is 120. The correct option is B.

To know more about an expression follow

https://brainly.com/question/11096532

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Which expression would be easier to simplify if you used the associative property to change the grouping.

Answers

c? i think its c (Sorry if iim wrong)

Answer:

The answer is D

Step-by-step explanation:

Isabella deposited $2000 in an account that pays 5% simple annual interest after one year how much interest will her investment pay

Answers

Answer:

100

Step-by-step explanation:

5% of 2000 is 100

Cuanto es 1/4 en pedazos?

Answers

Answer:

1/4 en pedazos seria 1/4 en pedazos

Step-by-step explanation:

la pregunta no tiene sentido

Answer: La fracción un cuarto, escrita en símbolos como 1/4, significa "una pieza, donde se necesitan cuatro piezas para formar un todo". La fracción un cuarto, escrita en símbolos como 1/4, significa "una pieza, donde se necesitan 4 piezas para formar un todo".

Step-by-step explanation:

classify triangles by its sides and angles geometry

Answers

Answer:

1. isosceles and acute

2. Scalene and acute

3. Equilateral and equiangular

4. Right (and isosceles ?)

(not sure ab isosceles for the last one but everything else is fine)

999 to the nearest thousand

Answers

Answer: 1000

Step-by-step explanation:

Answer:

1000

Is the answer I think

Solve for y
3(7y + 4) = 15y + 6y +4+8

Answers

Answer: the are no values of y that make it true

Step-by-step explanation: no solution

Answer:

-4/7

Step-by-step explanation:

You have 41 marbles in a bag. Inside the bag are 15 red marbles, 10 blue marbles, and
the rest are white. If you reach into the bag and randomly select a marble, then what is
the probability the selected marble will be red?

Answers

Answer:

15/41

There are 41 marbles and 15 of them are red so you have a 15/41 chance to pick out a red as that is how many of them there are as compared to the total

Find the unit rate. Round to the nearest hundredth, if necessary.

$340 for 18 ft2

Answers

Answer:

18.89

Step-by-step explanation:

340/18=18.8888

18.888 to the nearest hundredth is 18.89

476,502 looking the number what would be 10,000 more

Answers

Answer:

486,502

Step-by-step explanation:

George, a musician, works 35 hours in a week. If he earns $18.15 per hour, how much does he earn each week?

Answers

Answer:

$635.25

Step-by-step explanation:

He works 35 hours a week, multiply that by $18.15 and you get $635.25.

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