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4 years ago

The formula for finding the area of a circle is A=pi r 2.Solve the formula for r

Mathematics

1 answer:

olga55 [171]4 years ago

3 0

Answer:

See Explanation

Step-by-step explanation:

$A = \pi {r}^{2} \\ \\ \frac{A}{\pi} = {r}^{2} \\ \\ \huge \red{ \boxed{ r = \sqrt{\frac{A}{\pi} } }}$

You might be interested in

What is equivalent to the square root of -27

lions [1.4K]

For the square root of a negative number, you would have to get into imaginary numbers. If you haven't learned about it yet, then the answer would be no real solutions. But if you have, here's how to solve it:

First, identify that 9 x 3 = 27. To after taking the square root, you will get 3√3 (Since the square root of 9 is 3 and there's no square root of 3, so leave it in the √)

However, since it is a negative number, you will have to include the letter i in the answer. i represents the imaginary part of it since you can't have a negative number in the square root.

So your answer will look like 3i√3.

3 0

3 years ago

For function of g,g(0)=1 and g(1)=5 assuming g is a linear function what is g(3)

lawyer [7]

Answer:

$g(3) = 13$

Step-by-step explanation:

Given

$g(0) = 1$

$g(1) = 5$

Required

Find g(3)

Since g(x) is a linear function, then:

$g(x) = mx + c$

For: $g(0) = 1$

$g(x) = mx + c$

$g(0) = m*0 + c$

$1 = 0 + c$

$1 = c$

$c = 1$

For: $g(1) = 5$

$g(x) = mx + c$

$g(1) = m * 1 + c$

$5 = m * 1 + c$

$5 = m + c$

Substitute $c = 1$

$5 = m + 1$

$m = 5 - 1$

$m =4$

So, the function is:

$g(x) = mx + c$

$g(x) = 4x + 1$

Calculate g(3)

$g(3) = 4*3 + 1$

$g(3) = 12 + 1$

$g(3) = 13$

3 0

3 years ago

Find the width of the rectangular prism when the surface area is 208 square centimeters.

ozzi

SA=2(lw+wh+lh) This is the formula for finding the surface area of a rectangular prism, where SA is surface area, l is length, w is width, and h is height.

208=2(lw+wh+lh)
104=lw+wh+lh Here, I divided both sides by 2 to get ride of the 2.

Now, I used prime factorization to find out all the prime factors of 104, which are 2, 2, 2, and 13. Since rectangular prisms only have 3 dimensions, I needed to combine two of the prime factors. In this case, I can either combine 2 of the 2s to get 2, 4, and 13 or I can combine 13 with one of the 2s to get 26, 2, and 2.

If my dimensions were 2, 4, and 13...
my surface area would be 172 sq cm.

If my dimensions were 2, 2, and 26...
my surface area would be 208 sq cm.

Hence, the width of the rectangular prism when the surface area is 208 square centimeters can be either 2 or 26.

7 0

4 years ago

Morgan moves no more than 26 of her sheep and goats into another field. Fewer than 14 of her animals are sheep.Let s represent t

GenaCL600 [577]

Let
s-------> represent the number of sheep
g-------> represent the number of goats

we know that
1) Morgan moves no more than 26 of her sheep and goats into another field
so
(s+g) ≤ 26------> inequality 1

2) Fewer than 14 of her animals are sheep
so
s < 14-------> inequality 2

therefore

the answers are
B.) s < 14
D.) s + g ≤ 26

3 0

3 years ago

Simplify y 2 + 11y - 6y + y 2. y4 + 5 y4 + 5y 2y 2 + 5 2y 2 + 5y

Dmitrij [34]

Answer:

2y^2 +5y

Step-by-step explanation:

y^2 + 11y - 6y + y^2

Combine like terms

2y^2 +5y

3 0

3 years ago

Read 2 more answers