Advanced Mathematical Concepts: Precalculus with Applications, Student Edition
1st Edition
ISBN: 9780078682278
Author: McGraw-Hill, Berchie Holliday
Publisher: Glencoe/McGraw-Hill
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Question
Chapter 5.8, Problem 30E
To determine
To find: The area of the pentagon given.
Expert Solution & Answer
Answer to Problem 30E
Explanation of Solution
Given information: Critical Thinking: The pentagon:
Calculation:
Draw the image with a triangle drawn inside.
Solve for the black line using law of cosines formula.
Simplify and solve for the black line.
Use law of cosines formula to solve for the dotted line.
Break the shape into three different triangles and solve for the area of each one with Heron’s formula.
Solve for s to use Heron’s formula to find the area of the green triangle.
Use Heron’s formula to solve for the area of the green triangle.
Simplify and solve for the area of the green triangle.
Solve for s to use Heron’s formula to find the area of the blue triangle.
Use Heron’s formula to solve for the area of the blue triangle.
Simplify and solve for the area of the blue triangle.
Solve for s to use Heron’s formula to find the area of the red triangle.
Use Heron’s formula to solve for the area of the red triangle.
Simplify and solve for the area of the red triangle.
Add all three triangle’s areas to find the area of the pentagon.
Chapter 5 Solutions
Advanced Mathematical Concepts: Precalculus with Applications, Student Edition
Ch. 5.1 - Prob. 1CFUCh. 5.1 - Prob. 2CFUCh. 5.1 - Prob. 3CFUCh. 5.1 - Prob. 4CFUCh. 5.1 - Prob. 5CFUCh. 5.1 - Prob. 6CFUCh. 5.1 - Prob. 7CFUCh. 5.1 - Prob. 8CFUCh. 5.1 - Prob. 9CFUCh. 5.1 - Prob. 10CFU
Ch. 5.1 - Prob. 11CFUCh. 5.1 - Prob. 12CFUCh. 5.1 - Prob. 13CFUCh. 5.1 - Prob. 14CFUCh. 5.1 - Prob. 15CFUCh. 5.1 - Prob. 16CFUCh. 5.1 - Prob. 17CFUCh. 5.1 - Prob. 18ECh. 5.1 - Prob. 19ECh. 5.1 - Prob. 20ECh. 5.1 - Prob. 21ECh. 5.1 - Prob. 22ECh. 5.1 - Prob. 23ECh. 5.1 - Prob. 24ECh. 5.1 - Prob. 25ECh. 5.1 - Prob. 26ECh. 5.1 - Prob. 27ECh. 5.1 - Prob. 28ECh. 5.1 - Prob. 29ECh. 5.1 - Prob. 30ECh. 5.1 - Prob. 31ECh. 5.1 - Prob. 32ECh. 5.1 - Prob. 33ECh. 5.1 - Prob. 34ECh. 5.1 - Prob. 35ECh. 5.1 - Prob. 36ECh. 5.1 - Prob. 37ECh. 5.1 - Prob. 38ECh. 5.1 - Prob. 39ECh. 5.1 - Prob. 40ECh. 5.1 - Prob. 41ECh. 5.1 - Prob. 42ECh. 5.1 - Prob. 43ECh. 5.1 - Prob. 44ECh. 5.1 - Prob. 45ECh. 5.1 - Prob. 46ECh. 5.1 - Prob. 47ECh. 5.1 - Prob. 48ECh. 5.1 - Prob. 49ECh. 5.1 - Prob. 50ECh. 5.1 - Prob. 51ECh. 5.1 - Prob. 52ECh. 5.1 - Prob. 53ECh. 5.1 - Prob. 54ECh. 5.1 - Prob. 55ECh. 5.1 - Prob. 56ECh. 5.1 - Prob. 57ECh. 5.1 - Prob. 58ECh. 5.1 - Prob. 59ECh. 5.1 - Prob. 60ECh. 5.1 - Prob. 61ECh. 5.1 - Prob. 62ECh. 5.1 - Prob. 63ECh. 5.1 - Prob. 64ECh. 5.1 - Prob. 65ECh. 5.1 - Prob. 66ECh. 5.1 - Prob. 67ECh. 5.1 - Prob. 68ECh. 5.1 - Prob. 69ECh. 5.1 - Prob. 70ECh. 5.1 - Prob. 71ECh. 5.1 - Prob. 72ECh. 5.1 - Prob. 73ECh. 5.1 - Prob. 74ECh. 5.1 - Prob. 75ECh. 5.1 - Prob. 76ECh. 5.1 - Prob. 77ECh. 5.1 - Prob. 78ECh. 5.2 - Prob. 1CFUCh. 5.2 - Prob. 2CFUCh. 5.2 - Prob. 3CFUCh. 5.2 - Prob. 4CFUCh. 5.2 - Prob. 5CFUCh. 5.2 - Prob. 6CFUCh. 5.2 - Prob. 7CFUCh. 5.2 - Prob. 8CFUCh. 5.2 - Prob. 9CFUCh. 5.2 - Prob. 10ECh. 5.2 - Prob. 11ECh. 5.2 - Prob. 12ECh. 5.2 - Prob. 13ECh. 5.2 - Prob. 14ECh. 5.2 - Prob. 15ECh. 5.2 - Prob. 16ECh. 5.2 - Prob. 17ECh. 5.2 - Prob. 18ECh. 5.2 - Prob. 19ECh. 5.2 - Prob. 20ECh. 5.2 - Prob. 21ECh. 5.2 - Prob. 22ECh. 5.2 - Prob. 23ECh. 5.2 - Prob. 24ECh. 5.2 - Prob. 25ECh. 5.2 - Prob. 26ECh. 5.2 - Prob. 27ECh. 5.2 - Prob. 28ECh. 5.2 - Prob. 29ECh. 5.2 - Prob. 30ECh. 5.2 - Prob. 31ECh. 5.2 - Prob. 32ECh. 5.2 - Prob. 33ECh. 5.2 - Prob. 34ECh. 5.2 - Prob. 35ECh. 5.2 - Prob. 36ECh. 5.2 - Prob. 37ECh. 5.2 - Prob. 38ECh. 5.3 - Prob. 1CFUCh. 5.3 - Prob. 2CFUCh. 5.3 - Prob. 3CFUCh. 5.3 - Prob. 4CFUCh. 5.3 - Prob. 5CFUCh. 5.3 - Prob. 6CFUCh. 5.3 - Prob. 7CFUCh. 5.3 - Prob. 8CFUCh. 5.3 - Prob. 9CFUCh. 5.3 - Prob. 10CFUCh. 5.3 - Prob. 11CFUCh. 5.3 - Prob. 12CFUCh. 5.3 - Prob. 13CFUCh. 5.3 - Prob. 14ECh. 5.3 - Prob. 15ECh. 5.3 - Prob. 16ECh. 5.3 - Prob. 17ECh. 5.3 - Prob. 18ECh. 5.3 - Prob. 19ECh. 5.3 - Prob. 20ECh. 5.3 - Prob. 21ECh. 5.3 - Prob. 22ECh. 5.3 - Prob. 23ECh. 5.3 - Prob. 24ECh. 5.3 - Prob. 25ECh. 5.3 - Prob. 26ECh. 5.3 - Prob. 27ECh. 5.3 - Prob. 28ECh. 5.3 - Prob. 29ECh. 5.3 - Prob. 30ECh. 5.3 - Prob. 31ECh. 5.3 - Prob. 32ECh. 5.3 - Prob. 33ECh. 5.3 - Prob. 34ECh. 5.3 - Prob. 35ECh. 5.3 - Prob. 36ECh. 5.3 - Prob. 37ECh. 5.3 - Prob. 38ECh. 5.3 - Prob. 39ECh. 5.3 - Prob. 40ECh. 5.3 - Prob. 41ECh. 5.3 - Prob. 42ECh. 5.3 - Prob. 43ECh. 5.3 - Prob. 44ECh. 5.3 - Prob. 45ECh. 5.3 - Prob. 46ECh. 5.3 - Prob. 47ECh. 5.3 - Prob. 48ECh. 5.3 - Prob. 49ECh. 5.3 - Prob. 50ECh. 5.3 - Prob. 51ECh. 5.3 - 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Prob. 55ECh. 5.5 - Prob. 56ECh. 5.5 - Prob. 57ECh. 5.5 - Prob. 58ECh. 5.5 - Prob. 59ECh. 5.5 - Prob. 60ECh. 5.6 - Prob. 1CFUCh. 5.6 - Prob. 2CFUCh. 5.6 - Prob. 3CFUCh. 5.6 - Prob. 4CFUCh. 5.6 - Prob. 5CFUCh. 5.6 - Prob. 6CFUCh. 5.6 - Prob. 7CFUCh. 5.6 - Prob. 8CFUCh. 5.6 - Prob. 9CFUCh. 5.6 - Prob. 10CFUCh. 5.6 - Prob. 11ECh. 5.6 - Prob. 12ECh. 5.6 - Prob. 13ECh. 5.6 - Prob. 14ECh. 5.6 - Prob. 15ECh. 5.6 - Prob. 16ECh. 5.6 - Prob. 17ECh. 5.6 - Prob. 18ECh. 5.6 - Prob. 19ECh. 5.6 - Prob. 20ECh. 5.6 - Prob. 21ECh. 5.6 - Prob. 22ECh. 5.6 - Prob. 23ECh. 5.6 - Prob. 24ECh. 5.6 - Prob. 25ECh. 5.6 - Prob. 26ECh. 5.6 - Prob. 27ECh. 5.6 - Prob. 28ECh. 5.6 - Prob. 29ECh. 5.6 - Prob. 30ECh. 5.6 - Prob. 31ECh. 5.6 - Prob. 32ECh. 5.6 - Prob. 33ECh. 5.6 - Prob. 34ECh. 5.6 - Prob. 35ECh. 5.6 - Prob. 36ECh. 5.6 - Prob. 37ECh. 5.6 - Prob. 38ECh. 5.6 - Prob. 39ECh. 5.6 - Prob. 40ECh. 5.6 - Prob. 41ECh. 5.6 - Prob. 42ECh. 5.7 - Prob. 1GCECh. 5.7 - Prob. 2GCECh. 5.7 - Prob. 3GCECh. 5.7 - Prob. 4GCECh. 5.7 - Prob. 1CFUCh. 5.7 - Prob. 2CFUCh. 5.7 - Prob. 3CFUCh. 5.7 - Prob. 4CFUCh. 5.7 - Prob. 5CFUCh. 5.7 - Prob. 6CFUCh. 5.7 - Prob. 7CFUCh. 5.7 - Prob. 8CFUCh. 5.7 - Prob. 9CFUCh. 5.7 - Prob. 10CFUCh. 5.7 - Prob. 11ECh. 5.7 - Prob. 12ECh. 5.7 - Prob. 13ECh. 5.7 - Prob. 14ECh. 5.7 - Prob. 15ECh. 5.7 - Prob. 16ECh. 5.7 - Prob. 17ECh. 5.7 - Prob. 18ECh. 5.7 - Prob. 19ECh. 5.7 - Prob. 20ECh. 5.7 - Prob. 21ECh. 5.7 - Prob. 22ECh. 5.7 - Prob. 23ECh. 5.7 - Prob. 24ECh. 5.7 - Prob. 25ECh. 5.7 - Prob. 26ECh. 5.7 - Prob. 27ECh. 5.7 - Prob. 28ECh. 5.7 - Prob. 29ECh. 5.7 - Prob. 30ECh. 5.7 - Prob. 31ECh. 5.7 - Prob. 32ECh. 5.7 - Prob. 33ECh. 5.7 - Prob. 34ECh. 5.7 - Prob. 35ECh. 5.7 - Prob. 36ECh. 5.7 - Prob. 37ECh. 5.7 - Prob. 38ECh. 5.7 - Prob. 39ECh. 5.7 - Prob. 40ECh. 5.7 - Prob. 41ECh. 5.7 - Prob. 42ECh. 5.7 - Prob. 43ECh. 5.7 - Prob. 44ECh. 5.7 - Prob. 45ECh. 5.7 - Prob. 46ECh. 5.8 - Prob. 1CFUCh. 5.8 - Prob. 2CFUCh. 5.8 - Prob. 3CFUCh. 5.8 - Prob. 4CFUCh. 5.8 - Prob. 5CFUCh. 5.8 - Prob. 6CFUCh. 5.8 - Prob. 7CFUCh. 5.8 - Prob. 8CFUCh. 5.8 - Prob. 9CFUCh. 5.8 - Prob. 10CFUCh. 5.8 - Prob. 11ECh. 5.8 - Prob. 12ECh. 5.8 - Prob. 13ECh. 5.8 - Prob. 14ECh. 5.8 - Prob. 15ECh. 5.8 - Prob. 16ECh. 5.8 - Prob. 17ECh. 5.8 - Prob. 18ECh. 5.8 - Prob. 19ECh. 5.8 - Prob. 20ECh. 5.8 - Prob. 21ECh. 5.8 - Prob. 22ECh. 5.8 - Prob. 23ECh. 5.8 - Prob. 24ECh. 5.8 - Prob. 25ECh. 5.8 - Prob. 26ECh. 5.8 - Prob. 27ECh. 5.8 - Prob. 28ECh. 5.8 - Prob. 29ECh. 5.8 - Prob. 30ECh. 5.8 - Prob. 31ECh. 5.8 - Prob. 32ECh. 5.8 - Prob. 33ECh. 5.8 - Prob. 34ECh. 5.8 - Prob. 35ECh. 5.8 - Prob. 36ECh. 5.8 - Prob. 37ECh. 5.8 - Prob. 38ECh. 5.8B - Prob. 1GCECh. 5.8B - Prob. 2GCECh. 5.8B - Prob. 3GCECh. 5.8B - Prob. 4GCECh. 5 - Prob. 1SGACh. 5 - Prob. 2SGACh. 5 - Prob. 3SGACh. 5 - Prob. 4SGACh. 5 - Prob. 5SGACh. 5 - Prob. 6SGACh. 5 - Prob. 7SGACh. 5 - Prob. 8SGACh. 5 - Prob. 9SGACh. 5 - Prob. 10SGACh. 5 - Prob. 11SGACh. 5 - Prob. 12SGACh. 5 - Prob. 13SGACh. 5 - Prob. 14SGACh. 5 - Prob. 15SGACh. 5 - Prob. 16SGACh. 5 - Prob. 17SGACh. 5 - Prob. 18SGACh. 5 - Prob. 19SGACh. 5 - Prob. 20SGACh. 5 - Prob. 21SGACh. 5 - Prob. 22SGACh. 5 - Prob. 23SGACh. 5 - Prob. 24SGACh. 5 - Prob. 25SGACh. 5 - Prob. 26SGACh. 5 - Prob. 27SGACh. 5 - Prob. 28SGACh. 5 - Prob. 29SGACh. 5 - Prob. 30SGACh. 5 - Prob. 31SGACh. 5 - Prob. 32SGACh. 5 - Prob. 33SGACh. 5 - Prob. 34SGACh. 5 - Prob. 35SGACh. 5 - Prob. 36SGACh. 5 - Prob. 37SGACh. 5 - Prob. 38SGACh. 5 - Prob. 39SGACh. 5 - Prob. 40SGACh. 5 - Prob. 41SGACh. 5 - Prob. 42SGACh. 5 - Prob. 43SGACh. 5 - Prob. 44SGACh. 5 - Prob. 45SGACh. 5 - Prob. 46SGACh. 5 - Prob. 47SGACh. 5 - Prob. 48SGACh. 5 - Prob. 49SGACh. 5 - Prob. 50SGACh. 5 - Prob. 51SGACh. 5 - Prob. 52SGACh. 5 - Prob. 53SGACh. 5 - Prob. 54SGACh. 5 - Prob. 55SGACh. 5 - Prob. 56SGACh. 5 - Prob. 57SGACh. 5 - Prob. 58SGACh. 5 - Prob. 59SGACh. 5 - Prob. 60SGACh. 5 - Prob. 1SAPCh. 5 - Prob. 2SAPCh. 5 - Prob. 3SAPCh. 5 - Prob. 4SAPCh. 5 - Prob. 5SAPCh. 5 - Prob. 6SAPCh. 5 - Prob. 7SAPCh. 5 - Prob. 8SAPCh. 5 - Prob. 9SAPCh. 5 - Prob. 10SAP
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