Find the formula for the area A and the perimeter P of the shape shown find the area and perimeter when R is 5 cm find R when A is 100cm2 find r when P is 50cm find the value of r that makes A = p numerically

Find The Formula For The Area A And The Perimeter P Of The Shape Shown Find The Area And Perimeter When

Answers

Answer 1

Answer:

1)Area; A = ¼πr²

Perimeter; P = πr/2 + 2r

2)A = 19.63 cm²

P = 17.85 cm

3) r = 8.885 cm

4) r = 14 cm

Step-by-step explanation:

This is a quadrant of a circle. Thus;

Area of a circle is πr². A quadrant is a quarter of a circle. Thus;

Formula for Quadrant Area is; A = ¼πr²

A) Perimeter of a circle is 2πr. Thus, perimeter of a quadrant is a quarter of the full circle perimeter.

Formula for the quadrant perimeter in the image given is;

P = 2πr/4 + 2r

P = πr/2 + 2r

B) When r is 5 cm;

A = ¼π(5)²

A = 19.63 cm²

P = π(5)/2 + 2(5)

P = 17.85 cm

C) when A is 100cm²:

¼πr² = 100

r² = 100 × 4/π

r² = 78.9358

r = √78.9358

r = 8.885 cm

D) when P = 50 cm.

50 = πr/2 + 2r

50 = (½π + 2)r

r = 50/(½π + 2)

r = 14 cm


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For her science project, Sylvia collected flowers and measured their length. The line plot displays the lengths of the flowers. If
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Answer:

5 3/4

Step-by-step explanation:

I have this problem too and in the same website too. It told us the total length of all of the flowers, so we add 1/8 + 1/4 + 3/8 + 3/8 + 3/8 + 3/8 + 1/2 + 1/2 + 5/8 + 5/8 + 3/4 + 7/8 and it was equal to 5 3/4

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x = - 1

Step-by-step explanation:

Given

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The distance of a golf ball from the hole can be represented by the right side of a parabola
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Answers

Let's suppose that the hole is at y = 0m, where x is the time variable.

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(i suppose x in seconds and y in meters)

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(1s, 0m).

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x = -b/2a,

then we have:

-1 = -b/2a.

Then we have tree equations:

8m = a*(-1s)^2 + b*-1s + c

0m = a*(1s)^2 + b*1s + c

-1s = -b/2a.

First we should isolate one variable in the third equation, and then replace it in one of the other two:

1s*2a = b.

So we can replace b in the first two equations bi 1s*2a.

8m = a*1s^2 - 1s*2a*1s + c

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We can simplify both equations and get:

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a = 8m/-4s^2 = -2m/s^2.

Now with a, we can find the values of c and b.

c = -a*3s^2 = -(-2m/s^2)*3s^2 = 6m.

b = 1s*2a = 1s*(-2m/s^2) = -2m/s.

Then the equation is:

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Step-by-step explanation:

ok, so,

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For homework, a teacher instructs her students to choose a county in their state for a social
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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

Using the given formula for volume V, then

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Step-by-step explanation:

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Step-by-step explanation:

1a. To represent this situation, all of the weight for each package must be in the equation. Since each package has 4 boxes, and only the objects in one box are detailed, everything must be multiplied by 4. Now, the values that must be multiplied by 4 are a bag of rice and beans. Since the beans weigh 7 pounds, they can be represented using the constant 7, and the rice can be represented with the variable x. Combining all of this information, the equation 64(total)=4(7+x)

1b. Now, the equation above must be solved. First, divide both sides by 4 in order to get 16=7+x. Now, subtract 7 from both sides to find that x=9

2a. This problem is similar to the first problem, except instead of multiplying both the beans and rice by four, only the rice needs to be multiplied. With this knowledge the equation 64=7+4x is created.

2b. To solve the above equation, 7 must be subtracted from both sides. This leaves 57=4x. Now, both sides must be divided by 4, giving the final answer of x=57/4.

Answer:

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1b. x=9

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Answers

Answer:

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17 - 4x = 33

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The picture below has the steps

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Answers

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Step-by-step explanation:

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Answers

Answer: 5x4=20

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Step-by-step explanation:

The required two numbers are 4 and 5.

What is equation?

"It is a statement which consists of equal symbol between two mathematical expressions."

For given example,

We need to find two number such that if multiply then we get 20 and add to get 9.

Let 'a' and 'b' be two numbers.

According to given conditions,

a × b = 20                .........................(i)

a + b =9                    .......................(ii)

So, from given conditions we have two equations (i) and (ii).

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Is (-1,2) a solution to the following linear equation:
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Answers

Plug in the values
2(-1) + 2 = 2
-2 + 2 = 2
0 = 2, false

(-1,2) is not a solution

Answer:

No

Step-by-step explanation:

plug in the variables into the equation

(x,y)

(-1,2)

2(-1)+2=2

2*-1=-2

-2+2=0

2 does not equal 0 so therefore no, it is not a solution

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