Rewrite the formula for area of a circle to find the radius of a circle.

the area of a circle (a) is given by the formula a=πr^2 where r is the circle's radius. the formula to find r is ( if a=54 centimeters^2 and π=22/7, r is ( centimeters.

1. (a/pi)^1/2; a^2/pi; pi/a

2. 4.15; 2.33; 17.2

The correct answers are: Part A. A/π^1/2 = r and Part B. 4.15 centimeters.

Step-by-step explanation:

1. Let's review all the information provided for solving this question:

Area of the circle = π*r² where r is the circle's radius

2. Let's find the solution for r for part A and for part B:

Part A:

A = π*r²

A/π = r²

√A/π = r

A/π^1/2 = r

Part B:

If A = 54 centimeters² and π  = 22/7, what is the value of r in centimeters?

Using the result of part A and replacing with the real values, we have:

√A/π = r

√54/(22/7) = r

√54 * 7/22 = r

√378/22 = r

√17.1818 = r

4.1451 = r

4.15 = r (Rounding to two decimal places)

x ≥ 18 is your answer

step-by-step explanation:

let "a number" = x

(2/3)x + 17 ≥ 29

isolate the variable (x). do the opposite of pemdas (parenthesis, exponent (& root), multiplication, division, addition, subtraction).

first, subtract 17 from both sides.

(2/3)x + 17 (-17) ≥ 29 (-17)

(2/3)x ≥ 29 - 17

(2/3)x ≥ 12

next, multiply 3/2 to both sides to isolate the x

(3/2)(2/3)x ≥ 12(3/2)

x ≥ 12(3/2)

simplify. multiply, then divide

x ≥ (12 * 3)/2

x ≥ (36)/2

x ≥ 18

x ≥ 18 is your answer

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