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
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
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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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 cm\(^2\)) 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 \( a \) cm\(^2\).
a. **Use function notation** (with the appropriate functions above) to represent the area of a regular pentagon whose perimeter is 127 cm.
\[ \boxed{\text{ }} \quad \text{Preview} \]
b. **Use function notation** (with the appropriate functions above) to represent the perimeter of a regular pentagon whose area is 5.61 cm\(^2\).
\[ \boxed{\text{ }} \quad \text{Preview} \]
**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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2b29f38d-d89f-4838-84ec-d025c39eef4f%2F6212d1cf-d23a-4b95-a55a-3421ca49f3db%2F6dzl2lf_processed.jpeg&w=3840&q=75)
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 cm\(^2\)) 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 \( a \) cm\(^2\).
a. **Use function notation** (with the appropriate functions above) to represent the area of a regular pentagon whose perimeter is 127 cm.
\[ \boxed{\text{ }} \quad \text{Preview} \]
b. **Use function notation** (with the appropriate functions above) to represent the perimeter of a regular pentagon whose area is 5.61 cm\(^2\).
\[ \boxed{\text{ }} \quad \text{Preview} \]
**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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