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 13.6, Problem 49E
To determine

To find: the length of diagonals if the larger angle is 1060 and the shape is parallelogram.

Expert Solution & Answer
Check Mark

Answer to Problem 49E

The diagonal d1=10218.73=101.1 and d2=5913.3=76.9 .

Explanation of Solution

Given:

The side of the parallelogram are 55cm and 71cm long.

The larger angle is 1060 .

Concept used:

Parallelogram characteristic are:

Sum of the adjacent angle is 1800 .

Opposite angle of the parallelogram is equal.

Diagonal of the parallelogram can be calculated from the law of cosine which is:

  d2=a2+b22abcosθ .

Calculation:

According to the given:

The side of the parallelogram are 55cm and 71cm long.

The length of each diagonal if the larger angle measures 1060 is.

Using law of cosine:

  d2=a2+b22abcosθ.d12=712+5522(71)(55)cos(106).d12=10218.73.d1=10218.73=101.1.

the length of others diagonal can be calculated as:

first determining the angle other angle of the parallelogram:

let the other angle be x :

  x+x+106+106=3602x+212=360.x=1482=74.

So, the other angle is 740 .

Using law of cosine again:

  d2=a2+b22abcosθ.d22=712+5522(71)(55)cos74.d22=5913.3d2=5913.3=76.9.

Hence, the diagonal d1=10218.73=101.1 and d2=5913.3=76.9 .

Chapter 13 Solutions

Advanced Mathematical Concepts: Precalculus with Applications, Student Edition

Ch. 13.1 - Prob. 11CFUCh. 13.1 - Prob. 12CFUCh. 13.1 - Prob. 13CFUCh. 13.1 - Prob. 14CFUCh. 13.1 - Prob. 15CFUCh. 13.1 - Prob. 16ECh. 13.1 - Prob. 17ECh. 13.1 - Prob. 18ECh. 13.1 - Prob. 19ECh. 13.1 - Prob. 20ECh. 13.1 - Prob. 21ECh. 13.1 - Prob. 22ECh. 13.1 - Prob. 23ECh. 13.1 - Prob. 24ECh. 13.1 - Prob. 25ECh. 13.1 - Prob. 26ECh. 13.1 - Prob. 27ECh. 13.1 - Prob. 28ECh. 13.1 - Prob. 29ECh. 13.1 - Prob. 30ECh. 13.1 - Prob. 31ECh. 13.1 - Prob. 32ECh. 13.1 - Prob. 33ECh. 13.1 - Prob. 34ECh. 13.1 - Prob. 35ECh. 13.1 - Prob. 36ECh. 13.1 - Prob. 37ECh. 13.1 - Prob. 38ECh. 13.1 - Prob. 39ECh. 13.1 - Prob. 40ECh. 13.1 - Prob. 41ECh. 13.1 - Prob. 42ECh. 13.1 - Prob. 43ECh. 13.1 - Prob. 44ECh. 13.1 - Prob. 45ECh. 13.1 - Prob. 46ECh. 13.1 - Prob. 47ECh. 13.1 - Prob. 48ECh. 13.1 - Prob. 49ECh. 13.1 - Prob. 50ECh. 13.1 - Prob. 51ECh. 13.1 - Prob. 52ECh. 13.1 - Prob. 53ECh. 13.1 - Prob. 54ECh. 13.1 - Prob. 55ECh. 13.1 - Prob. 56ECh. 13.1 - Prob. 57ECh. 13.1 - Prob. 58ECh. 13.1 - Prob. 59ECh. 13.1 - Prob. 60ECh. 13.1 - Prob. 61ECh. 13.1 - Prob. 62ECh. 13.1 - Prob. 63ECh. 13.1 - Prob. 64ECh. 13.2 - Prob. 1CFUCh. 13.2 - Prob. 2CFUCh. 13.2 - Prob. 3CFUCh. 13.2 - Prob. 4CFUCh. 13.2 - Prob. 5CFUCh. 13.2 - Prob. 6CFUCh. 13.2 - Prob. 7CFUCh. 13.2 - Prob. 8CFUCh. 13.2 - Prob. 9CFUCh. 13.2 - Prob. 10CFUCh. 13.2 - Prob. 11CFUCh. 13.2 - Prob. 12ECh. 13.2 - Prob. 13ECh. 13.2 - Prob. 14ECh. 13.2 - Prob. 15ECh. 13.2 - Prob. 16ECh. 13.2 - Prob. 17ECh. 13.2 - Prob. 18ECh. 13.2 - Prob. 19ECh. 13.2 - Prob. 20ECh. 13.2 - Prob. 21ECh. 13.2 - Prob. 22ECh. 13.2 - Prob. 23ECh. 13.2 - Prob. 24ECh. 13.2 - Prob. 25ECh. 13.2 - Prob. 26ECh. 13.2 - Prob. 27ECh. 13.2 - Prob. 28ECh. 13.2 - Prob. 29ECh. 13.2 - Prob. 30ECh. 13.2 - Prob. 31ECh. 13.2 - Prob. 32ECh. 13.2 - Prob. 33ECh. 13.2 - Prob. 34ECh. 13.2 - Prob. 35ECh. 13.2 - Prob. 36ECh. 13.2 - Prob. 37ECh. 13.2 - Prob. 38ECh. 13.2 - Prob. 39ECh. 13.2 - Prob. 40ECh. 13.2 - Prob. 41ECh. 13.2 - Prob. 42ECh. 13.2 - Prob. 43ECh. 13.2 - Prob. 44ECh. 13.2 - Prob. 45ECh. 13.2 - Prob. 46ECh. 13.3 - Prob. 1CFUCh. 13.3 - Prob. 2CFUCh. 13.3 - Prob. 3CFUCh. 13.3 - Prob. 4CFUCh. 13.3 - Prob. 5CFUCh. 13.3 - Prob. 6CFUCh. 13.3 - Prob. 7CFUCh. 13.3 - Prob. 8CFUCh. 13.3 - Prob. 9CFUCh. 13.3 - Prob. 10CFUCh. 13.3 - Prob. 11CFUCh. 13.3 - Prob. 12CFUCh. 13.3 - Prob. 13ECh. 13.3 - Prob. 14ECh. 13.3 - Prob. 15ECh. 13.3 - Prob. 16ECh. 13.3 - Prob. 17ECh. 13.3 - Prob. 18ECh. 13.3 - Prob. 19ECh. 13.3 - Prob. 20ECh. 13.3 - Prob. 21ECh. 13.3 - Prob. 22ECh. 13.3 - Prob. 23ECh. 13.3 - Prob. 24ECh. 13.3 - Prob. 25ECh. 13.3 - Prob. 26ECh. 13.3 - Prob. 27ECh. 13.3 - Prob. 28ECh. 13.3 - Prob. 29ECh. 13.3 - Prob. 30ECh. 13.3 - Prob. 31ECh. 13.3 - Prob. 32ECh. 13.3 - Prob. 33ECh. 13.3 - Prob. 34ECh. 13.3 - Prob. 35ECh. 13.3 - Prob. 36ECh. 13.3 - Prob. 37ECh. 13.3 - Prob. 38ECh. 13.3 - Prob. 39ECh. 13.3 - Prob. 40ECh. 13.3 - Prob. 41ECh. 13.3 - Prob. 42ECh. 13.3 - Prob. 43ECh. 13.3 - Prob. 44ECh. 13.3 - Prob. 45ECh. 13.3 - Prob. 46ECh. 13.3 - Prob. 47ECh. 13.3 - Prob. 48ECh. 13.3 - Prob. 49ECh. 13.3 - Prob. 50ECh. 13.3 - Prob. 51ECh. 13.3 - Prob. 1MCQCh. 13.3 - Prob. 2MCQCh. 13.3 - Prob. 3MCQCh. 13.3 - Prob. 4MCQCh. 13.3 - Prob. 5MCQCh. 13.3 - Prob. 6MCQCh. 13.3 - Prob. 7MCQCh. 13.3 - Prob. 8MCQCh. 13.3 - Prob. 9MCQCh. 13.3 - Prob. 10MCQCh. 13.4 - Prob. 1CFUCh. 13.4 - Prob. 2CFUCh. 13.4 - Prob. 3CFUCh. 13.4 - Prob. 4CFUCh. 13.4 - Prob. 5CFUCh. 13.4 - Prob. 6CFUCh. 13.4 - Prob. 7CFUCh. 13.4 - Prob. 8CFUCh. 13.4 - Prob. 9CFUCh. 13.4 - Prob. 10CFUCh. 13.4 - Prob. 11CFUCh. 13.4 - Prob. 12CFUCh. 13.4 - Prob. 13CFUCh. 13.4 - Prob. 14CFUCh. 13.4 - Prob. 15CFUCh. 13.4 - Prob. 16ECh. 13.4 - Prob. 17ECh. 13.4 - Prob. 18ECh. 13.4 - Prob. 19ECh. 13.4 - Prob. 20ECh. 13.4 - Prob. 21ECh. 13.4 - Prob. 22ECh. 13.4 - Prob. 23ECh. 13.4 - Prob. 24ECh. 13.4 - Prob. 25ECh. 13.4 - Prob. 26ECh. 13.4 - Prob. 27ECh. 13.4 - Prob. 28ECh. 13.4 - Prob. 29ECh. 13.4 - Prob. 30ECh. 13.4 - Prob. 31ECh. 13.4 - Prob. 32ECh. 13.4 - Prob. 33ECh. 13.4 - Prob. 34ECh. 13.4 - Prob. 35ECh. 13.4 - Prob. 36ECh. 13.4 - Prob. 37ECh. 13.4 - Prob. 38ECh. 13.4 - Prob. 39ECh. 13.4 - Prob. 40ECh. 13.4 - Prob. 41ECh. 13.4 - Prob. 42ECh. 13.4 - Prob. 43ECh. 13.4 - Prob. 44ECh. 13.4 - Prob. 45ECh. 13.4 - Prob. 46ECh. 13.4 - Prob. 47ECh. 13.4 - Prob. 48ECh. 13.4 - Prob. 49ECh. 13.4 - Prob. 50ECh. 13.4 - Prob. 51ECh. 13.4 - Prob. 52ECh. 13.4 - Prob. 53ECh. 13.4 - Prob. 54ECh. 13.4 - Prob. 55ECh. 13.4 - Prob. 56ECh. 13.4 - Prob. 57ECh. 13.4 - Prob. 58ECh. 13.4 - Prob. 59ECh. 13.4 - Prob. 60ECh. 13.4 - Prob. 61ECh. 13.4 - Prob. 62ECh. 13.4 - Prob. 63ECh. 13.4 - Prob. 64ECh. 13.4 - Prob. 65ECh. 13.5 - Prob. 1CFUCh. 13.5 - Prob. 2CFUCh. 13.5 - Prob. 3CFUCh. 13.5 - Prob. 4CFUCh. 13.5 - Prob. 5CFUCh. 13.5 - Prob. 6CFUCh. 13.5 - Prob. 7CFUCh. 13.5 - Prob. 8CFUCh. 13.5 - Prob. 9CFUCh. 13.5 - Prob. 10CFUCh. 13.5 - Prob. 11CFUCh. 13.5 - Prob. 12CFUCh. 13.5 - Prob. 13CFUCh. 13.5 - Prob. 14ECh. 13.5 - Prob. 15ECh. 13.5 - Prob. 16ECh. 13.5 - Prob. 17ECh. 13.5 - Prob. 18ECh. 13.5 - Prob. 19ECh. 13.5 - Prob. 20ECh. 13.5 - Prob. 21ECh. 13.5 - Prob. 22ECh. 13.5 - Prob. 23ECh. 13.5 - Prob. 24ECh. 13.5 - Prob. 25ECh. 13.5 - Prob. 26ECh. 13.5 - Prob. 27ECh. 13.5 - Prob. 28ECh. 13.5 - Prob. 29ECh. 13.5 - Prob. 30ECh. 13.5 - Prob. 31ECh. 13.5 - Prob. 32ECh. 13.5 - Prob. 33ECh. 13.5 - Prob. 34ECh. 13.5 - Prob. 35ECh. 13.5 - Prob. 36ECh. 13.5 - Prob. 37ECh. 13.5 - Prob. 38ECh. 13.5 - Prob. 39ECh. 13.5 - Prob. 40ECh. 13.5 - Prob. 41ECh. 13.5 - Prob. 42ECh. 13.5 - Prob. 43ECh. 13.5 - Prob. 44ECh. 13.5 - Prob. 45ECh. 13.5 - Prob. 46ECh. 13.5 - Prob. 47ECh. 13.5 - Prob. 48ECh. 13.5 - Prob. 49ECh. 13.5 - Prob. 50ECh. 13.5 - Prob. 51ECh. 13.5 - Prob. 52ECh. 13.5 - Prob. 53ECh. 13.5 - Prob. 54ECh. 13.5 - Prob. 55ECh. 13.6 - Prob. 1GCECh. 13.6 - Prob. 2GCECh. 13.6 - Prob. 3GCECh. 13.6 - Prob. 4GCECh. 13.6 - Prob. 5GCECh. 13.6 - Prob. 6GCECh. 13.6 - Prob. 1CFUCh. 13.6 - Prob. 2CFUCh. 13.6 - Prob. 3CFUCh. 13.6 - Prob. 4CFUCh. 13.6 - Prob. 5CFUCh. 13.6 - Prob. 6CFUCh. 13.6 - Prob. 7CFUCh. 13.6 - Prob. 8CFUCh. 13.6 - Prob. 9CFUCh. 13.6 - Prob. 10CFUCh. 13.6 - Prob. 11CFUCh. 13.6 - Prob. 12CFUCh. 13.6 - Prob. 13ECh. 13.6 - Prob. 14ECh. 13.6 - Prob. 15ECh. 13.6 - Prob. 16ECh. 13.6 - Prob. 17ECh. 13.6 - Prob. 18ECh. 13.6 - Prob. 19ECh. 13.6 - Prob. 20ECh. 13.6 - Prob. 21ECh. 13.6 - Prob. 22ECh. 13.6 - Prob. 23ECh. 13.6 - Prob. 24ECh. 13.6 - Prob. 25ECh. 13.6 - Prob. 26ECh. 13.6 - Prob. 27ECh. 13.6 - Prob. 28ECh. 13.6 - Prob. 29ECh. 13.6 - Prob. 30ECh. 13.6 - Prob. 31ECh. 13.6 - Prob. 32ECh. 13.6 - Prob. 33ECh. 13.6 - Prob. 34ECh. 13.6 - Prob. 35ECh. 13.6 - Prob. 36ECh. 13.6 - Prob. 37ECh. 13.6 - Prob. 38ECh. 13.6 - Prob. 39ECh. 13.6 - Prob. 40ECh. 13.6 - Prob. 41ECh. 13.6 - Prob. 42ECh. 13.6 - Prob. 43ECh. 13.6 - Prob. 44ECh. 13.6 - Prob. 45ECh. 13.6 - Prob. 46ECh. 13.6 - Prob. 47ECh. 13.6 - Prob. 48ECh. 13.6 - Prob. 49ECh. 13.6 - Prob. 50ECh. 13.6 - Prob. 51ECh. 13 - Prob. 1SGACh. 13 - Prob. 2SGACh. 13 - Prob. 3SGACh. 13 - Prob. 4SGACh. 13 - Prob. 5SGACh. 13 - Prob. 6SGACh. 13 - Prob. 7SGACh. 13 - Prob. 8SGACh. 13 - Prob. 9SGACh. 13 - Prob. 10SGACh. 13 - Prob. 11SGACh. 13 - Prob. 12SGACh. 13 - Prob. 13SGACh. 13 - Prob. 14SGACh. 13 - Prob. 15SGACh. 13 - Prob. 16SGACh. 13 - Prob. 17SGACh. 13 - Prob. 18SGACh. 13 - Prob. 19SGACh. 13 - Prob. 20SGACh. 13 - Prob. 21SGACh. 13 - Prob. 22SGACh. 13 - Prob. 23SGACh. 13 - Prob. 24SGACh. 13 - Prob. 25SGACh. 13 - Prob. 26SGACh. 13 - Prob. 27SGACh. 13 - Prob. 28SGACh. 13 - Prob. 29SGACh. 13 - Prob. 30SGACh. 13 - Prob. 31SGACh. 13 - Prob. 32SGACh. 13 - Prob. 33SGACh. 13 - Prob. 34SGACh. 13 - Prob. 35SGACh. 13 - Prob. 36SGACh. 13 - Prob. 37SGACh. 13 - Prob. 38SGACh. 13 - Prob. 39SGACh. 13 - Prob. 40SGACh. 13 - Prob. 41SGACh. 13 - Prob. 42SGACh. 13 - Prob. 43SGACh. 13 - Prob. 44SGACh. 13 - Prob. 45SGACh. 13 - Prob. 46SGACh. 13 - Prob. 47SGACh. 13 - Prob. 48SGACh. 13 - Prob. 49SGACh. 13 - Prob. 50SGACh. 13 - Prob. 51SGACh. 13 - Prob. 1SAPCh. 13 - Prob. 2SAPCh. 13 - Prob. 3SAPCh. 13 - Prob. 4SAPCh. 13 - Prob. 5SAPCh. 13 - Prob. 6SAPCh. 13 - Prob. 7SAPCh. 13 - Prob. 8SAPCh. 13 - Prob. 9SAPCh. 13 - Prob. 10SAP

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