Consider regular pentagons with side length s, area a, and perimeter p. Suppose f, g, h, and j are functions such that: • f(s) represents the perimeter (in cm) of a regular pentagon whose side length is s cm. • g(p) represents the side length (in cm) of a regular pentagon whose perimeter is p cm. • h(s) represents the area (in cm2) of a regular pentagon whose side length is s cm. • j(a) represents the side length (in cm) of a regular pentagon whose area is a cm². a. Use function notation (with the appropriate functions above) to represent the area of a regular pentagon whose perimeter is 127 cm. Preview b. Use function notation (with the appropriate functions above) to represent the perimeter of a regular pentagon whose area is 5.61 cm2. Preview

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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Consider regular pentagons with side length s, area a, and perimeter p. Suppose f, g, h, and j are functions such that:
f(s) represents the perimeter (in cm) of a regular pentagon whose side length is s cm.
• g(p) represents the side length (in cm) of a regular pentagon whose perimeter is p cm.
h(s) represents the area (in cm²) of a regular pentagon whose side length is s cm.
j(a) represents the side length (in cm) of a regular pentagon whose area is a cm².
a. Use function notation (with the appropriate functions above) to represent the area of a regular pentagon whose perimeter is 127 cm.
Preview
b. Use function notation (with the appropriate functions above) to represent the perimeter of a regular pentagon whose area is 5.61 cm2.
Preview
Box 1: Enter your answer as an expression. Example: 3x^2+1, x/5, (a+b)/c
Be sure your variables match those in the question
Box 2: Enter your answer as an expression. Example: 3x^2+1, x/5, (a+b)/c
Be sure your variables match those in the question
Transcribed Image Text:Consider regular pentagons with side length s, area a, and perimeter p. Suppose f, g, h, and j are functions such that: f(s) represents the perimeter (in cm) of a regular pentagon whose side length is s cm. • g(p) represents the side length (in cm) of a regular pentagon whose perimeter is p cm. h(s) represents the area (in cm²) of a regular pentagon whose side length is s cm. j(a) represents the side length (in cm) of a regular pentagon whose area is a cm². a. Use function notation (with the appropriate functions above) to represent the area of a regular pentagon whose perimeter is 127 cm. Preview b. Use function notation (with the appropriate functions above) to represent the perimeter of a regular pentagon whose area is 5.61 cm2. Preview Box 1: Enter your answer as an expression. Example: 3x^2+1, x/5, (a+b)/c Be sure your variables match those in the question Box 2: Enter your answer as an expression. Example: 3x^2+1, x/5, (a+b)/c Be sure your variables match those in the question
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