Mathematics College

A goat is tired to a pole at the center of a square of length of side 20m. If the rope is 10m long. Calculate the (I) area of the square that can't be grazed by the goat (ii) fraction of grazed portion to the whole area​

Answers

Answer 1

Answer:

percentage = 78.54%

Step-by-step explanation:

The area of a square of side length x is:

[tex]A_s=x^2[/tex]

The area of a circle of radius r is:

[tex]A_c=\pi r^2[/tex]

The goat is tied to a pole at the center of a square of a side length of x=20 cm.

The area of the square is:

[tex]A_s=20^2[/tex]

[tex]A_s=400~m^2[/tex]

The rope is 10 m long. The goat is able to graze an area of:

[tex]A_c=\pi 10^2[/tex]

[tex]A_c=100\pi~m^2[/tex]

(i)

Since the diameter of the circle (20 m) is equal to the length of the square, the area of the circle is contained in the square and the area of the square not grazed by the goat is:

[tex]A = A_s-A_c=400~m^2-100\pi~m^2[/tex]

[tex]A=100(4-\pi)~m^2[/tex]

Calculating:

[tex]A = 85.84~m^2[/tex]

(ii)

The percentage can be calculated as:

[tex]\displaystyle \frac{A_c}{A_s}*100=\frac{100\pi}{400}*100=25\pi[/tex]

Calculating:

percentage = 78.54%

Related Questions

4x^10 + 9x^10 what is the sum or difference

Answers

Answer:

[tex]13x^1^0[/tex]

Step-by-step explanation:

[tex]4x^1^0+9x^1^0[/tex]

Add similar elements:

[tex]4x^1^0+9x^1^0=13x^1^0[/tex]

A 3x33 cube is built out of twenty-seven 1x1x1 blocks. Then,
seven ixi blocks are removed. Specifically, the center block
from each of the six faces of the cube is removed and the center
block of the cube is removed. What is the total surface area of
the modified cube?

Answers

Answer:-7^2(negitive seven to the second power)

Step-by-step explanation:

Quick ASAP please!!!!!!!!!!!! Help!!!!


m2
Find the area of this shape.
1 m
2 m
N
4 m
3 m

Answers

Answer:

i hope this helps to you

How many fewer boys’ shoes were 19 cm long than 22 cm long?

Answers

Answer:

6 boys

Step-by-step explanation:

I had a quizlet

Find the length of JI

Answers

Answer:

12

Step-by-step explanation:

Assuming that KI is 15 units longs, we can set up an equation by  using the equations given.

2x-15+2x-6=15    /simplify

4x-21=15              /+21

4x=36                  /÷ 4

x=9

Now that we know that x is 9 units, we plug it into the given equation of the line.

2*9-6=12

Thus, JI is 12 units long.

I hope this helps!

12
Step by step explanation

What is the equation, in slope-intercept form, of the line
that is perpendicular to the given line and passes through
the point (2, -1)?

A)y = -1/3 x -1/3
B)y = -1/3 x -5/3
C)y = 3x - 3
D)y = 3x - 7

Answers

Answer:

My guess would be D.

Step-by-step explanation:

We can eliminate A and B right away considering the Slope of the first equation is already -1/3 and we need the slope to be opposite to be perpendicular. So right then It is either C or D. and with C It doesn't seem like the line intersecting the line above would be parallel so my guess is D.

What is the equation you would set up to solve the following problem? DO NOT SOLVE THE EQUATION.
You bought a magazine for $5 and four erasers. You spent a total of $25. How much did each eraser cost?

Answers

4x + 5 = 25

x being the cost of each eraser

Three friends go grocery shopping together, and each buys the same kind of
oranges. LaMar buys 2 pounds (lb) and pays $1.00. Enrico buys 4 pounds and
pays $2.00. Anna buys 3 pounds and pays $1.50.
Identify the aranh and unit price that represent the orange costs.

Answers

Answer: C In my case

Step-by-step explanation:

Well you wanna choose the one with 1,2,3,4 as its pounds and that should be correct with the 50 cents in dollars.

When using substitution to solve this system of equations, what is the result of the first step x=6y+3
x+2y=5

Answers

First step: you have to plug in 6y+3 into the equation and solve
Example: 6y+3+2y = 5

The result of first step is 6y+3+3y = 5 and values of x and y after solving are 1/4 and 9/2 respectively.

What is substitution method?

The substitution method is the algebraic method to solve simultaneous linear equations. As the word says, in this method, the value of one variable from one equation is substituted in the other equation.

Given that, the two equations x=6y+3 and x+2y=5 being solved by substitution method

So, the equations are,

x=6y+3.......(i)

x+2y=5......(ii)

Substituting eq(i) in eq(ii)

6y+3+2y = 5

8y = 2

y = 1/4

Put y = 1/4 in eq(i)

x = 6x1/4+3

x = 9/2

Hence, The result of first step is 6y+3+3y = 5 and values of x and y after solving are 1/4 and 9/2 respectively.

For more references on substitution method, click;

https://brainly.com/question/14619835

#SPJ2

2. Estados Unidos importa actualmente todo su café. La demanda anual de café por parte de los consumidores estadounidenses viene dada por la curva de demanda Q = 250 – 10P, donde Q es la cantidad (en millones de libras) y P es el precio de mercado por libra de café. Los productores mundiales pueden cosechar y enviar café a los distribuidores estadounidenses con un coste marginal (= medio) constante de 8 dólares por libra. Los distribuidores estadounidenses pueden distribuir a su vez el café a un precio constante de 2 dólares por libra. El mercado de café de Estados Unidos es competitivo. El Congreso está considerando la posibilidad de establecer un arancel sobre las importaciones de café de 2 dólares por libra.
a. Si no hay ningún arancel, ¿cuánto pagan los consumidores por una libra de café? ¿Cuál es la cantidad demandada?
b. Si se establece el arancel, ¿cuánto pagan los consumidores por una libra de café? ¿Cuál es la cantidad demandada?
c. Calcule la pérdida de excedente del consumidor.
d. Calcule los ingresos fiscales recaudados por el Estado.
e. ¿Genera el arancel una ganancia neta a la sociedad en su conjunto o una pérdida neta?

Answers

D is the correct answer

Carley owns an ice cream stand. She wants to predict how many ice cream cones she will sell as a function of the average daily high temperature each month. The data for the past 777 months is shown in the table below.

Answers

Answer:

can you show me the data so i can see the temperature

Answer: Graph C

Step-by-step explanation: The answer is C (Took the quiz)- Khan Academy

Write an equation and solve. Round to the nearest hundredth where necessary. What is 35% of 63?

Answers

22.05

35/100=.35 .35x63=22.05

sec²A-cosec²A=(tanA+cotA)(tanA-cotA)​

Answers

Answer:

Step-by-step explanation:

Sec²A-cosec²A=(tanA+cotA)(tanA-cotA)

Tan^2A+1-cot^2A-1=(tan^2A-cot^2A)

tan^2A-cot^2A=tan^2A-cot^2A

L.H.S=R.H.S

Hence proved.

Bella went shopping for a new phone. To find the total plus tax, she multiplied the price of the phone by 1.075. What percent tax did she pay?

Answers

7.5% because 1.075 is equal to 107.5% but you want to find the tax so subtract the 100 since it’s only tax and u get 7.5%

can someone help me pls

Answers

6/7 because there are 7 boxes and 6 are shaded

Please help I’m stuck on this question

Answers

Answer:

A. this is a vector, so you need a bar on top (ie not D)

Step-by-step explanation:

Help I don’t understand?!?!

Answers

Answer:

Which number u trynna flex bro

Step-by-step explanation:

lets go lets roll gogogogog

What is a factor of 42

Answers

Answer:

1, 42

Step-by-step explanation:

Another pair of factors of 42 would be 2, 21. Factors, when multiplied, would get 42. 6,7 would also work, etc etc.

839 bcc I didd thisss in school

which term of the series 2187,729,243...is 1/9​

Answers

Answer:

Step-by-step explanation:

Givens

a = 2187

r = 1/3

L = 1/9

what is n

Formula

L = a*r^(n-1)

1/9 = 2187 * (1/3)^(n-1)

1/(9 * 2187) = (1/3)^(n - 1)

1/19683 = (1/3)^(n - 1)

=================

You need to break 19683 down into its prime factors.

19683 = 3* 729

19683 = 3 * 3 * 243

19683 = 3 * 3 * 3 * 81

81 = 3^4 so there are 4 more threes in the breakdown.

19683 = 3 * 3 * 3 * 3 * 3 * 3 * 3

1/19683 = 1/(3)^(7-1)

1/9 is the 6th term in the series.

PLEASE HELP ME SIMPLIFY THIS PLEASE SHOW WORK TO! THANK YOU 7x - 4x + 3

Answers

Answer:

7x - 4x + 3

3x + 3 = 6x

Step-by-step explanation:

7 - 4 = 3 meaning 7x -4x would be 3x as they are similar terms and then you add + 3 making it 6x

Mr. Santiago has a flight from New York to Paris that covers a distance of 3,640 miles in 7 hours. If the plane travels at the same speed per hour, how many miles will it have traveled after 4 hours?

2. Josh watches 720 shows in one year. If he watches the same number of shows each month, how many shows does he watch in 5 months?

Answers

Answer:He traveled 2080 miles after 4 hours. He covered 3640 miles in 7 hours with a constant speed, so we can calculate the speed: 3640/7=520 miles/hour. After 4 hours, he traveled 520*4=2080 miles.

Step-by-step explanation:

4n+7-2 pls in really need help;-;

Answers

Answer:

4n + 5

Step-by-step explanation:

This equation cannot be simplified further

Unless you meant 4n + 7 = 2

Then the answer would be -1.25

Answer:

4n+5 hope this helps

Step-by-step explanation:

4n+7-2

4n+5

What are the answers and explain

Answers

Answer:

Step-by-step explanation:

answers to what

?ummm can you rephrase this because I don’t understand

Which equations has a solution of X=1.5

Answers

He hits a little on a number where it will start with a

can someone help me with this?

Answers

Answer:haha no

Step-by-step explanation:

There was a country concert held at the park. For every 3 men there were 5 women that went to the concert. If 30 more women attended the concert than men, how men and how many women attended the concert.

Answers

Answer:

3m == 5w, that means for such unit, there is a 2 person difference

30 person difference = 30/2 = 15units

and again one unit means 3m and 5w

so 15*3men, and 15*5women

and you can check the difference is 30

There are 4 trucks for every 5 cars in a parking lot. If there are 80 cars, how many trucks are in the parking lot?

Answers

Answer:

There are 64 trucks!

Step-by-step explanation:

what is 15+15 I need help

Answers

Answer:

30

Step by step explanation:

lol

What is the image of 2,-1 after a reflection over the y axis

Answers

There are no images included, but it would be -2,-1.

Solve the equation-17x-16=-135

Answers

Answer:

x=7

Step-by-step explanation:

Add 16 to both sides

-17x-16+16=-135+16

Simplify

-17x=-119

Divide both sides by -17

-17x/-17=-119/-17

Simplify

x=7

Hope this helped! :)

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