Advanced Mathematical Concepts: Precalculus with Applications, Student Edition
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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Chapter 5.8, Problem 17E
To determine

To find: The measure of the angle with the least measure, if the sides of a triangle measure 14.9 centimeters, 23.8 centimeters and 36.9 centimeters.

Expert Solution & Answer
Check Mark

Answer to Problem 17E

  ∠C=13.76∘

Explanation of Solution

Given information: If the sides of a triangle measure 14.9 centimeters, 23.8 centimeters and 36.9 centimeters

Calculation:

Use the law of cosines formula with the angle isolated to solve for the angle C

  C=cos−123.82+36.92−14.922(23.8)(36.9)

Simplify and solve for C

  C=13.76∘

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Chapter 5.8, Problem 16E
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Chapter 5.8, Problem 18E

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 - Prob. 52ECh. 5.3 - Prob. 53ECh. 5.3 - Prob. 54ECh. 5.3 - Prob. 55ECh. 5.3 - Prob. 56ECh. 5.3 - Prob. 57ECh. 5.3 - Prob. 58ECh. 5.3 - Prob. 59ECh. 5.3 - Prob. 60ECh. 5.4 - Prob. 1CFUCh. 5.4 - Prob. 2CFUCh. 5.4 - Prob. 3CFUCh. 5.4 - Prob. 4CFUCh. 5.4 - Prob. 5CFUCh. 5.4 - Prob. 6CFUCh. 5.4 - Prob. 7CFUCh. 5.4 - Prob. 8CFUCh. 5.4 - Prob. 9CFUCh. 5.4 - Prob. 10ECh. 5.4 - Prob. 11ECh. 5.4 - Prob. 12ECh. 5.4 - Prob. 13ECh. 5.4 - Prob. 14ECh. 5.4 - Prob. 15ECh. 5.4 - Prob. 16ECh. 5.4 - Prob. 17ECh. 5.4 - Prob. 18ECh. 5.4 - Prob. 19ECh. 5.4 - Prob. 20ECh. 5.4 - Prob. 21ECh. 5.4 - Prob. 22ECh. 5.4 - Prob. 23ECh. 5.4 - Prob. 24ECh. 5.4 - Prob. 25ECh. 5.4 - Prob. 26ECh. 5.4 - Prob. 27ECh. 5.4 - Prob. 28ECh. 5.4 - Prob. 29ECh. 5.4 - Prob. 30ECh. 5.4 - Prob. 31ECh. 5.4 - Prob. 32ECh. 5.4 - Prob. 33ECh. 5.4 - Prob. 34ECh. 5.4 - Prob. 35ECh. 5.4 - Prob. 36ECh. 5.4 - Prob. 1MCQCh. 5.4 - Prob. 2MCQCh. 5.4 - Prob. 3MCQCh. 5.4 - Prob. 4MCQCh. 5.4 - Prob. 5MCQCh. 5.5 - Prob. 1CFUCh. 5.5 - Prob. 2CFUCh. 5.5 - Prob. 3CFUCh. 5.5 - Prob. 4CFUCh. 5.5 - Prob. 5CFUCh. 5.5 - Prob. 6CFUCh. 5.5 - Prob. 7CFUCh. 5.5 - Prob. 8CFUCh. 5.5 - Prob. 9CFUCh. 5.5 - Prob. 10CFUCh. 5.5 - Prob. 11CFUCh. 5.5 - Prob. 12CFUCh. 5.5 - Prob. 13CFUCh. 5.5 - Prob. 14CFUCh. 5.5 - Prob. 15ECh. 5.5 - Prob. 16ECh. 5.5 - Prob. 17ECh. 5.5 - Prob. 18ECh. 5.5 - Prob. 19ECh. 5.5 - Prob. 20ECh. 5.5 - Prob. 21ECh. 5.5 - Prob. 22ECh. 5.5 - Prob. 23ECh. 5.5 - Prob. 24ECh. 5.5 - Prob. 25ECh. 5.5 - Prob. 26ECh. 5.5 - Prob. 27ECh. 5.5 - Prob. 28ECh. 5.5 - Prob. 29ECh. 5.5 - Prob. 30ECh. 5.5 - Prob. 31ECh. 5.5 - Prob. 32ECh. 5.5 - Prob. 33ECh. 5.5 - Prob. 34ECh. 5.5 - Prob. 35ECh. 5.5 - Prob. 36ECh. 5.5 - Prob. 37ECh. 5.5 - Prob. 38ECh. 5.5 - Prob. 39ECh. 5.5 - Prob. 40ECh. 5.5 - Prob. 41ECh. 5.5 - Prob. 42ECh. 5.5 - Prob. 43ECh. 5.5 - Prob. 44ECh. 5.5 - Prob. 45ECh. 5.5 - Prob. 46ECh. 5.5 - Prob. 47ECh. 5.5 - Prob. 48ECh. 5.5 - Prob. 49ECh. 5.5 - Prob. 50ECh. 5.5 - Prob. 51ECh. 5.5 - Prob. 52ECh. 5.5 - Prob. 53ECh. 5.5 - Prob. 54ECh. 5.5 - 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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How to apply the law of sines to find the remaining parts of a triangle; Author: Brian McLogan;https://www.youtube.com/watch?v=NdRF18HWkmE;License: Standard YouTube License, CC-BY