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...
Related questions
Question
![**Problem:**
Find the missing length of the trapezoid shown below, if the perimeter is 71.8.
**Diagram Description:**
The image displays a trapezoid with four sides. The bottom base is labeled with a length of 23 units. The left side, slanting upwards, is annotated with a length of 19 units. The right side, also slanting upwards, shows a length of 20.6 units. The top base, opposite the bottom base, has an unknown length marked as "?". A red vertical line inside the trapezoid indicates the height of 18.4 units.
There is a blank input box provided for entering the solution.
**Solution Steps:**
Given:
- Perimeter of the trapezoid = 71.8 units
- Known sides = 19, 20.6, 23 units
- Unknown side = ?
To find the missing side (top base):
1. Add the known side lengths: 19 + 20.6 + 23.
2. Subtract the sum from the total perimeter, 71.8, to find the unknown length.
\[
19 + 20.6 + 23 = 62.6
\]
\[
71.8 - 62.6 = 9.2
\]
**Answer:**
The missing length of the top base is 9.2 units.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2621837b-5b5c-4836-8f72-939f4b0a42ce%2Ffa768604-2227-4d5f-a2db-74e394e0714a%2Fuql5zr_processed.png&w=3840&q=75)
Transcribed Image Text:**Problem:**
Find the missing length of the trapezoid shown below, if the perimeter is 71.8.
**Diagram Description:**
The image displays a trapezoid with four sides. The bottom base is labeled with a length of 23 units. The left side, slanting upwards, is annotated with a length of 19 units. The right side, also slanting upwards, shows a length of 20.6 units. The top base, opposite the bottom base, has an unknown length marked as "?". A red vertical line inside the trapezoid indicates the height of 18.4 units.
There is a blank input box provided for entering the solution.
**Solution Steps:**
Given:
- Perimeter of the trapezoid = 71.8 units
- Known sides = 19, 20.6, 23 units
- Unknown side = ?
To find the missing side (top base):
1. Add the known side lengths: 19 + 20.6 + 23.
2. Subtract the sum from the total perimeter, 71.8, to find the unknown length.
\[
19 + 20.6 + 23 = 62.6
\]
\[
71.8 - 62.6 = 9.2
\]
**Answer:**
The missing length of the top base is 9.2 units.
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