Which formulas represent linear relationships? Select all that apply. Multi-select Choices: (A)the area of a semicircle, A = π r^2/2 (B)the volume of a square pyramid with a height of 1, V = 1/3s^2 (C)the perimeter of a regular pentagon, P = 5s (D)the volume of a hemisphere, V = 2/3 π r^3

Identify Formula Nature: Identify the nature of the formula in choice (A): A = πr^2/2, which calculates the area of a semicircle. This formula involves r squared, indicating it's quadratic, not linear. Examine Volume Formula: Examine the formula in choice (B): V = 1/3s^2, which calculates the volume of a square pyramid with a height of 1. The formula involves s squared, suggesting it's quadratic, not linear. Analyze Perimeter Formula: Analyze the formula in choice (C): P = 5s, which calculates the perimeter of a regular pentagon. This formula is directly proportional to s, making it a linear relationship. Check Hemisphere Volume Formula: Check the formula in choice (D): V = 2/3 π r^3, which calculates the volume of a hemisphere. The formula involves r cubed, indicating it's cubic, not linear.

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

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Q. Which formulas represent linear relationships? Select all that apply.

\newline

Multi-select Choices:

\newline

(A)the area of a semicircle,

A = \frac{\pi r^2}{2}

\newline

(B)the volume of a square pyramid with a height of

1

V = \frac{1}{3}s^2

\newline

(C)the perimeter of a regular pentagon,

P = 5s

\newline

(D)the volume of a hemisphere,

V = \frac{2}{3} \pi r^3

Identify Formula Nature: Identify the nature of the formula in choice (A): $A = \frac{\pi r^2}{2}$ , which calculates the area of a semicircle. This formula involves $r^2$ , indicating it's quadratic, not linear.
Examine Volume Formula: Examine the formula in choice (B): $V = \frac{1}{3}s^2$ , which calculates the volume of a square pyramid with a height of $1$ . The formula involves $s$ squared, suggesting it's quadratic, not linear.
Analyze Perimeter Formula: Analyze the formula in choice (C): $P = 5s$ , which calculates the perimeter of a regular pentagon. This formula is directly proportional to $s$ , making it a linear relationship.
Check Hemisphere Volume Formula: Check the formula in choice (D): $V = \frac{2}{3} \pi r^3$ , which calculates the volume of a hemisphere. The formula involves $r$ cubed, indicating it's cubic, not linear.