Sharon wants to put lace around the edge of the circular mirror shown. 12 in. C = TD, where C is the circumference, and D is the diameter. Use 3.14 for the value of n. How many inches of lace will sharon need to cover the edge of the mirror exactly once? A. 3.82 in. B. 18.84 in. O C. 37.68 in. D. 75.36 in.

step-by-step explanation:

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if you was gonna solve for a, a is a   < -12

(b) 240

step-by-step explanation:

first, we use the pythagorean formula using the given side lengths to find x. then we use x to find the side lengths. then we add the side lengths to find the perimeter.

pythagorean theorem formula:

a^2 + b^2 = c^2

(x - 20)^2 + (x - 40)^2 = x^2

x^2 - 40x + 400 + x^2 - 80x + 1600 = x^2

x^2 -120x + 2000 = 0

(x - 100)(x - 20) = 0

x - 100 = 0 or x - 20 = 0

x = 100 or x = 20

we see that the solution x = 20 must be discarded because it will give a negative side length and a side length of 0. the only valid solution is x = 100.

perimeter = sum of the lengths of the sides

perimeter = x + x - 20 + x - 40

perimeter = 3x - 60

replace x with 100.

perimeter = 3(100) - 60

perimeter = 300 - 60

perimeter = 240

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c. histogram

step-by-step explanation: