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:
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
10 10 points
At a restaurant you meal is $20. In addition to the cost of the meal you must pay a 5% sales tax and leave a 15% tip. What is the total
bill?
Answers
The total will be 24$
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
solve for X
x=2
2+ X = _______
Answers
Answer:
2+2=4
Step-by-step explanation:
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.
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:
$110Step-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
Evaluate the following expression if x=12, y=6, and z=-4
Answers
Answer:
wheres the expression
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]
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 $44.95, how many on-demand
movies did she rent last month?
Pls help me plssssssss
Answers
Answer:
5
Step-by-step explanation:
44.95-29.95=15/3=5
The table below shows the total Cost per number of hours. please determine the constant of proportionality or determine if the table is proportional.
Answers
Answer:
yes it is proportional and the constant is 45$ every # of hours
Step-by-step explanation:
I need an answer ASAP -
Martha is spending the afternoon at the bowling alley with friends. She rents shoes for $5 and must pay $4 per hour to participate. Represent this situation with a linear equation.
Answers-
a. y=5x+4
b. y- 4x+5
c. y= 4x
d. y=5x
Answers
Answer:
y=4x+5
Step-by-step explanation:
x= the number of hours
y= total number of money
4x means each hour = 4 dollars
5 = the rent of the shoes
Therefore, y = 4x + 5
Help me please i need some help.
Answers
Answer:
12 is the constant
Step-by-step explanation:
12 is the constant number because it doesn't have a variable that can change it
Answer:
12 is your answer have a good day!!
pula pays 419.92 for 2.4 pounds of walnuts .What is the price per pounof waluts ?
Answers
How I did it:
419.92 / 2.4 = 174.966 which rounds to 174.97$
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
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:
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
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
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
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 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
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
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
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
From 70.8 minutes to 90 minutes.
Answers
70.8 mins - 90 mins = 19.2 minutes
Answer the following question showned:
Answers
Answer:
A: CX and XW= 25 B: BY XY= 36
C: AX AZ= 9
Step-by-step explanation:
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.
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!
how do you find the measurement of an angle
Answers
Find the y - intercept of the following equation. Simplify your answer. Y = -10x - 1
Answers
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
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 girlsStep-by-step explanation: