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Which formulas represent linear relationships? Select all that apply.\newlineMulti-select Choices:\newline(A)the area of a semicircle, A=πr22A = \frac{\pi r^2}{2}\newline(B)the volume of a square pyramid with a height of 11, V=13s2V = \frac{1}{3}s^2\newline(C)the perimeter of a regular pentagon, P=5sP = 5s\newline(D)the volume of a hemisphere, V=23πr3V = \frac{2}{3} \pi r^3

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Q. Which formulas represent linear relationships? Select all that apply.\newlineMulti-select Choices:\newline(A)the area of a semicircle, A=πr22A = \frac{\pi r^2}{2}\newline(B)the volume of a square pyramid with a height of 11, V=13s2V = \frac{1}{3}s^2\newline(C)the perimeter of a regular pentagon, P=5sP = 5s\newline(D)the volume of a hemisphere, V=23πr3V = \frac{2}{3} \pi r^3
  1. Identify Formula Nature: Identify the nature of the formula in choice (A): A=πr22A = \frac{\pi r^2}{2}, which calculates the area of a semicircle. This formula involves r2r^2, indicating it's quadratic, not linear.
  2. Examine Volume Formula: Examine the formula in choice (B): V=13s2V = \frac{1}{3}s^2, which calculates the volume of a square pyramid with a height of 11. The formula involves ss squared, suggesting it's quadratic, not linear.
  3. Analyze Perimeter Formula: Analyze the formula in choice (C): P=5sP = 5s, which calculates the perimeter of a regular pentagon. This formula is directly proportional to ss, making it a linear relationship.
  4. Check Hemisphere Volume Formula: Check the formula in choice (D): V=23πr3V = \frac{2}{3} \pi r^3, which calculates the volume of a hemisphere. The formula involves rr cubed, indicating it's cubic, not linear.

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