(a) Answer Longer diagonal = 68.15 inches Explanation Given information: Geometry: The lengths of two sides of a parallelogram are 48 inches and 30 inches. One angle measures 120 ∘ Calculation: Use law of cosines to solve for the longer diagonal. c = 30 2 + 48 2 − 2 ( 30 ) ( 48 ) cos ( 120 ∘ ) Simplify and solve for the longer diagonal. c = 68.15 Thus, Longer diagonal = 68.15 inches (b) To determine To find: The area of the parallelogram. Answer Area = 1274.83 u 2 Explanation Given information: Geometry: The lengths of two sides of a parallelogram are 48 inches and 30 inches. One angle measures 120 ∘ Calculation: Find s to use Heron’s formula s = 30 + 48 + 68.15 2 Solve for s s = 73.08 Use Heron’s formula to find the area of the triangle. A = 73.08 ( 73.08 − 30 ) ( 73.08 − 48 ) ( 73.08 − 68.15 ) Simplify and solve for the area of the triangle A = 623.91 u 2 Multiply by two to solve for the area of the parallelogram. A = 623.91 u 2 × 2 = 1247.83 u 2 Thus, Area = 1247.83 u 2

Advanced Mathematical Concepts: Precalculus with Applications, Student Edition

1st Edition

ISBN: 9780078682278

Author: McGraw-Hill, Berchie Holliday

Publisher: Glencoe/McGraw-Hill

See similar textbooks

Videos

Question

Chapter 5.8, Problem 25E

(a)

To determine

To find: The length of the longer diagonal.

(a)

Expert Solution

Answer to Problem 25E

Longer diagonal = 68.15 inches

Explanation of Solution

Given information: Geometry: The lengths of two sides of a parallelogram are 48 inches and 30 inches. One angle measures 120∘

Advanced Mathematical Concepts: Precalculus with Applications, Student Edition, Chapter 5.8, Problem 25E , additional homework tip 1

Calculation:

Use law of cosines to solve for the longer diagonal.

c=302+482−2(30)(48)cos(120∘)

Simplify and solve for the longer diagonal.

c=68.15

Thus,

Longer diagonal = 68.15 inches

(b)

To determine

To find: The area of the parallelogram.

(b)

Expert Solution

Answer to Problem 25E

Area=1274.83u2

Explanation of Solution

Given information: Geometry: The lengths of two sides of a parallelogram are 48 inches and 30 inches. One angle measures 120∘

Advanced Mathematical Concepts: Precalculus with Applications, Student Edition, Chapter 5.8, Problem 25E , additional homework tip 2

Calculation:

Find s to use Heron’s formula

s=30+48+68.152

Solve for s

s=73.08

Use Heron’s formula to find the area of the triangle.

A=73.08(73.08−30)(73.08−48)(73.08−68.15)

Simplify and solve for the area of the triangle

A=623.91u2

Multiply by two to solve for the area of the parallelogram.

A=623.91u2×2=1247.83u2

Thus,

Area=1247.83u2

Chapter 5.8, Problem 24E

Chapter 5.8, Problem 26E

Chapter 5 Solutions

Advanced Mathematical Concepts: Precalculus with Applications, Student Edition

Ch. 5.1 - Prob. 1CFU Ch. 5.1 - Prob. 2CFU Ch. 5.1 - Prob. 3CFU Ch. 5.1 - Prob. 4CFU Ch. 5.1 - Prob. 5CFU Ch. 5.1 - Prob. 6CFU Ch. 5.1 - Prob. 7CFU Ch. 5.1 - Prob. 8CFU Ch. 5.1 - Prob. 9CFU Ch. 5.1 - Prob. 10CFU

Ch. 5.1 - Prob. 11CFU Ch. 5.1 - Prob. 12CFU Ch. 5.1 - Prob. 13CFU Ch. 5.1 - Prob. 14CFU Ch. 5.1 - Prob. 15CFU Ch. 5.1 - Prob. 16CFU Ch. 5.1 - Prob. 17CFU Ch. 5.1 - Prob. 18E Ch. 5.1 - Prob. 19E Ch. 5.1 - Prob. 20E Ch. 5.1 - Prob. 21E Ch. 5.1 - Prob. 22E Ch. 5.1 - Prob. 23E Ch. 5.1 - Prob. 24E Ch. 5.1 - Prob. 25E Ch. 5.1 - Prob. 26E Ch. 5.1 - Prob. 27E Ch. 5.1 - Prob. 28E Ch. 5.1 - Prob. 29E Ch. 5.1 - Prob. 30E Ch. 5.1 - Prob. 31E Ch. 5.1 - Prob. 32E Ch. 5.1 - Prob. 33E Ch. 5.1 - Prob. 34E Ch. 5.1 - Prob. 35E Ch. 5.1 - Prob. 36E Ch. 5.1 - Prob. 37E Ch. 5.1 - Prob. 38E Ch. 5.1 - Prob. 39E Ch. 5.1 - Prob. 40E Ch. 5.1 - Prob. 41E Ch. 5.1 - Prob. 42E Ch. 5.1 - Prob. 43E Ch. 5.1 - Prob. 44E Ch. 5.1 - Prob. 45E Ch. 5.1 - Prob. 46E Ch. 5.1 - Prob. 47E Ch. 5.1 - Prob. 48E Ch. 5.1 - Prob. 49E Ch. 5.1 - Prob. 50E Ch. 5.1 - Prob. 51E Ch. 5.1 - Prob. 52E Ch. 5.1 - Prob. 53E Ch. 5.1 - Prob. 54E Ch. 5.1 - Prob. 55E Ch. 5.1 - Prob. 56E Ch. 5.1 - Prob. 57E Ch. 5.1 - Prob. 58E Ch. 5.1 - Prob. 59E Ch. 5.1 - Prob. 60E Ch. 5.1 - Prob. 61E Ch. 5.1 - Prob. 62E Ch. 5.1 - Prob. 63E Ch. 5.1 - Prob. 64E Ch. 5.1 - Prob. 65E Ch. 5.1 - Prob. 66E Ch. 5.1 - Prob. 67E Ch. 5.1 - Prob. 68E Ch. 5.1 - Prob. 69E Ch. 5.1 - Prob. 70E Ch. 5.1 - Prob. 71E Ch. 5.1 - Prob. 72E Ch. 5.1 - Prob. 73E Ch. 5.1 - Prob. 74E Ch. 5.1 - Prob. 75E Ch. 5.1 - Prob. 76E Ch. 5.1 - Prob. 77E Ch. 5.1 - Prob. 78E Ch. 5.2 - Prob. 1CFU Ch. 5.2 - Prob. 2CFU Ch. 5.2 - Prob. 3CFU Ch. 5.2 - Prob. 4CFU Ch. 5.2 - Prob. 5CFU Ch. 5.2 - Prob. 6CFU Ch. 5.2 - Prob. 7CFU Ch. 5.2 - Prob. 8CFU Ch. 5.2 - Prob. 9CFU Ch. 5.2 - Prob. 10E Ch. 5.2 - Prob. 11E Ch. 5.2 - Prob. 12E Ch. 5.2 - Prob. 13E Ch. 5.2 - Prob. 14E Ch. 5.2 - Prob. 15E Ch. 5.2 - Prob. 16E Ch. 5.2 - Prob. 17E Ch. 5.2 - Prob. 18E Ch. 5.2 - Prob. 19E Ch. 5.2 - Prob. 20E Ch. 5.2 - Prob. 21E Ch. 5.2 - Prob. 22E Ch. 5.2 - Prob. 23E Ch. 5.2 - Prob. 24E Ch. 5.2 - Prob. 25E Ch. 5.2 - Prob. 26E Ch. 5.2 - Prob. 27E Ch. 5.2 - Prob. 28E Ch. 5.2 - Prob. 29E Ch. 5.2 - Prob. 30E Ch. 5.2 - Prob. 31E Ch. 5.2 - Prob. 32E Ch. 5.2 - Prob. 33E Ch. 5.2 - Prob. 34E Ch. 5.2 - Prob. 35E Ch. 5.2 - Prob. 36E Ch. 5.2 - Prob. 37E Ch. 5.2 - Prob. 38E Ch. 5.3 - Prob. 1CFU Ch. 5.3 - Prob. 2CFU Ch. 5.3 - Prob. 3CFU Ch. 5.3 - Prob. 4CFU Ch. 5.3 - Prob. 5CFU Ch. 5.3 - Prob. 6CFU Ch. 5.3 - Prob. 7CFU Ch. 5.3 - Prob. 8CFU Ch. 5.3 - Prob. 9CFU Ch. 5.3 - Prob. 10CFU Ch. 5.3 - Prob. 11CFU Ch. 5.3 - Prob. 12CFU Ch. 5.3 - Prob. 13CFU Ch. 5.3 - Prob. 14E Ch. 5.3 - Prob. 15E Ch. 5.3 - Prob. 16E Ch. 5.3 - Prob. 17E Ch. 5.3 - Prob. 18E Ch. 5.3 - Prob. 19E Ch. 5.3 - Prob. 20E Ch. 5.3 - Prob. 21E Ch. 5.3 - Prob. 22E Ch. 5.3 - Prob. 23E Ch. 5.3 - Prob. 24E Ch. 5.3 - Prob. 25E Ch. 5.3 - Prob. 26E Ch. 5.3 - Prob. 27E Ch. 5.3 - Prob. 28E Ch. 5.3 - Prob. 29E Ch. 5.3 - Prob. 30E Ch. 5.3 - Prob. 31E Ch. 5.3 - Prob. 32E Ch. 5.3 - Prob. 33E Ch. 5.3 - Prob. 34E Ch. 5.3 - Prob. 35E Ch. 5.3 - Prob. 36E Ch. 5.3 - Prob. 37E Ch. 5.3 - Prob. 38E Ch. 5.3 - Prob. 39E Ch. 5.3 - Prob. 40E Ch. 5.3 - Prob. 41E Ch. 5.3 - Prob. 42E Ch. 5.3 - Prob. 43E Ch. 5.3 - Prob. 44E Ch. 5.3 - Prob. 45E Ch. 5.3 - Prob. 46E Ch. 5.3 - Prob. 47E Ch. 5.3 - Prob. 48E Ch. 5.3 - Prob. 49E Ch. 5.3 - Prob. 50E Ch. 5.3 - Prob. 51E Ch. 5.3 - Prob. 52E Ch. 5.3 - Prob. 53E Ch. 5.3 - Prob. 54E Ch. 5.3 - Prob. 55E Ch. 5.3 - Prob. 56E Ch. 5.3 - Prob. 57E Ch. 5.3 - Prob. 58E Ch. 5.3 - Prob. 59E Ch. 5.3 - Prob. 60E Ch. 5.4 - Prob. 1CFU Ch. 5.4 - Prob. 2CFU Ch. 5.4 - Prob. 3CFU Ch. 5.4 - Prob. 4CFU Ch. 5.4 - Prob. 5CFU Ch. 5.4 - Prob. 6CFU Ch. 5.4 - Prob. 7CFU Ch. 5.4 - Prob. 8CFU Ch. 5.4 - Prob. 9CFU Ch. 5.4 - Prob. 10E Ch. 5.4 - Prob. 11E Ch. 5.4 - Prob. 12E Ch. 5.4 - Prob. 13E Ch. 5.4 - Prob. 14E Ch. 5.4 - Prob. 15E Ch. 5.4 - Prob. 16E Ch. 5.4 - Prob. 17E Ch. 5.4 - Prob. 18E Ch. 5.4 - Prob. 19E Ch. 5.4 - Prob. 20E Ch. 5.4 - Prob. 21E Ch. 5.4 - Prob. 22E Ch. 5.4 - Prob. 23E Ch. 5.4 - Prob. 24E Ch. 5.4 - Prob. 25E Ch. 5.4 - Prob. 26E Ch. 5.4 - Prob. 27E Ch. 5.4 - Prob. 28E Ch. 5.4 - Prob. 29E Ch. 5.4 - Prob. 30E Ch. 5.4 - Prob. 31E Ch. 5.4 - Prob. 32E Ch. 5.4 - Prob. 33E Ch. 5.4 - Prob. 34E Ch. 5.4 - Prob. 35E Ch. 5.4 - Prob. 36E Ch. 5.4 - Prob. 1MCQ Ch. 5.4 - Prob. 2MCQ Ch. 5.4 - Prob. 3MCQ Ch. 5.4 - Prob. 4MCQ Ch. 5.4 - Prob. 5MCQ Ch. 5.5 - Prob. 1CFU Ch. 5.5 - Prob. 2CFU Ch. 5.5 - Prob. 3CFU Ch. 5.5 - Prob. 4CFU Ch. 5.5 - Prob. 5CFU Ch. 5.5 - Prob. 6CFU Ch. 5.5 - Prob. 7CFU Ch. 5.5 - Prob. 8CFU Ch. 5.5 - Prob. 9CFU Ch. 5.5 - Prob. 10CFU Ch. 5.5 - Prob. 11CFU Ch. 5.5 - Prob. 12CFU Ch. 5.5 - Prob. 13CFU Ch. 5.5 - Prob. 14CFU Ch. 5.5 - Prob. 15E Ch. 5.5 - Prob. 16E Ch. 5.5 - Prob. 17E Ch. 5.5 - Prob. 18E Ch. 5.5 - Prob. 19E Ch. 5.5 - Prob. 20E Ch. 5.5 - Prob. 21E Ch. 5.5 - Prob. 22E Ch. 5.5 - Prob. 23E Ch. 5.5 - Prob. 24E Ch. 5.5 - Prob. 25E Ch. 5.5 - Prob. 26E Ch. 5.5 - Prob. 27E Ch. 5.5 - Prob. 28E Ch. 5.5 - Prob. 29E Ch. 5.5 - Prob. 30E Ch. 5.5 - Prob. 31E Ch. 5.5 - Prob. 32E Ch. 5.5 - Prob. 33E Ch. 5.5 - Prob. 34E Ch. 5.5 - Prob. 35E Ch. 5.5 - Prob. 36E Ch. 5.5 - Prob. 37E Ch. 5.5 - Prob. 38E Ch. 5.5 - Prob. 39E Ch. 5.5 - Prob. 40E Ch. 5.5 - Prob. 41E Ch. 5.5 - Prob. 42E Ch. 5.5 - Prob. 43E Ch. 5.5 - Prob. 44E Ch. 5.5 - Prob. 45E Ch. 5.5 - Prob. 46E Ch. 5.5 - Prob. 47E Ch. 5.5 - Prob. 48E Ch. 5.5 - Prob. 49E Ch. 5.5 - Prob. 50E Ch. 5.5 - Prob. 51E Ch. 5.5 - Prob. 52E Ch. 5.5 - Prob. 53E Ch. 5.5 - Prob. 54E Ch. 5.5 - Prob. 55E Ch. 5.5 - Prob. 56E Ch. 5.5 - Prob. 57E Ch. 5.5 - Prob. 58E Ch. 5.5 - Prob. 59E Ch. 5.5 - Prob. 60E Ch. 5.6 - Prob. 1CFU Ch. 5.6 - Prob. 2CFU Ch. 5.6 - Prob. 3CFU Ch. 5.6 - Prob. 4CFU Ch. 5.6 - Prob. 5CFU Ch. 5.6 - Prob. 6CFU Ch. 5.6 - Prob. 7CFU Ch. 5.6 - Prob. 8CFU Ch. 5.6 - Prob. 9CFU Ch. 5.6 - Prob. 10CFU Ch. 5.6 - Prob. 11E Ch. 5.6 - Prob. 12E Ch. 5.6 - Prob. 13E Ch. 5.6 - Prob. 14E Ch. 5.6 - Prob. 15E Ch. 5.6 - Prob. 16E Ch. 5.6 - Prob. 17E Ch. 5.6 - Prob. 18E Ch. 5.6 - Prob. 19E Ch. 5.6 - Prob. 20E Ch. 5.6 - Prob. 21E Ch. 5.6 - Prob. 22E Ch. 5.6 - Prob. 23E Ch. 5.6 - Prob. 24E Ch. 5.6 - Prob. 25E Ch. 5.6 - Prob. 26E Ch. 5.6 - Prob. 27E Ch. 5.6 - Prob. 28E Ch. 5.6 - Prob. 29E Ch. 5.6 - Prob. 30E Ch. 5.6 - Prob. 31E Ch. 5.6 - Prob. 32E Ch. 5.6 - Prob. 33E Ch. 5.6 - Prob. 34E Ch. 5.6 - Prob. 35E Ch. 5.6 - Prob. 36E Ch. 5.6 - Prob. 37E Ch. 5.6 - Prob. 38E Ch. 5.6 - Prob. 39E Ch. 5.6 - Prob. 40E Ch. 5.6 - Prob. 41E Ch. 5.6 - Prob. 42E Ch. 5.7 - Prob. 1GCE Ch. 5.7 - Prob. 2GCE Ch. 5.7 - Prob. 3GCE Ch. 5.7 - Prob. 4GCE Ch. 5.7 - Prob. 1CFU Ch. 5.7 - Prob. 2CFU Ch. 5.7 - Prob. 3CFU Ch. 5.7 - Prob. 4CFU Ch. 5.7 - Prob. 5CFU Ch. 5.7 - Prob. 6CFU Ch. 5.7 - Prob. 7CFU Ch. 5.7 - Prob. 8CFU Ch. 5.7 - Prob. 9CFU Ch. 5.7 - Prob. 10CFU Ch. 5.7 - Prob. 11E Ch. 5.7 - Prob. 12E Ch. 5.7 - Prob. 13E Ch. 5.7 - Prob. 14E Ch. 5.7 - Prob. 15E Ch. 5.7 - Prob. 16E Ch. 5.7 - Prob. 17E Ch. 5.7 - Prob. 18E Ch. 5.7 - Prob. 19E Ch. 5.7 - Prob. 20E Ch. 5.7 - Prob. 21E Ch. 5.7 - Prob. 22E Ch. 5.7 - Prob. 23E Ch. 5.7 - Prob. 24E Ch. 5.7 - Prob. 25E Ch. 5.7 - Prob. 26E Ch. 5.7 - Prob. 27E Ch. 5.7 - Prob. 28E Ch. 5.7 - Prob. 29E Ch. 5.7 - Prob. 30E Ch. 5.7 - Prob. 31E Ch. 5.7 - Prob. 32E Ch. 5.7 - Prob. 33E Ch. 5.7 - Prob. 34E Ch. 5.7 - Prob. 35E Ch. 5.7 - Prob. 36E Ch. 5.7 - Prob. 37E Ch. 5.7 - Prob. 38E Ch. 5.7 - Prob. 39E Ch. 5.7 - Prob. 40E Ch. 5.7 - Prob. 41E Ch. 5.7 - Prob. 42E Ch. 5.7 - Prob. 43E Ch. 5.7 - Prob. 44E Ch. 5.7 - Prob. 45E Ch. 5.7 - Prob. 46E Ch. 5.8 - Prob. 1CFU Ch. 5.8 - Prob. 2CFU Ch. 5.8 - Prob. 3CFU Ch. 5.8 - Prob. 4CFU Ch. 5.8 - Prob. 5CFU Ch. 5.8 - Prob. 6CFU Ch. 5.8 - Prob. 7CFU Ch. 5.8 - Prob. 8CFU Ch. 5.8 - Prob. 9CFU Ch. 5.8 - Prob. 10CFU Ch. 5.8 - Prob. 11E Ch. 5.8 - Prob. 12E Ch. 5.8 - Prob. 13E Ch. 5.8 - Prob. 14E Ch. 5.8 - Prob. 15E Ch. 5.8 - Prob. 16E Ch. 5.8 - Prob. 17E Ch. 5.8 - Prob. 18E Ch. 5.8 - Prob. 19E Ch. 5.8 - Prob. 20E Ch. 5.8 - Prob. 21E Ch. 5.8 - Prob. 22E Ch. 5.8 - Prob. 23E Ch. 5.8 - Prob. 24E Ch. 5.8 - Prob. 25E Ch. 5.8 - Prob. 26E Ch. 5.8 - Prob. 27E Ch. 5.8 - Prob. 28E Ch. 5.8 - Prob. 29E Ch. 5.8 - Prob. 30E Ch. 5.8 - Prob. 31E Ch. 5.8 - Prob. 32E Ch. 5.8 - Prob. 33E Ch. 5.8 - Prob. 34E Ch. 5.8 - Prob. 35E Ch. 5.8 - Prob. 36E Ch. 5.8 - Prob. 37E Ch. 5.8 - Prob. 38E Ch. 5.8B - Prob. 1GCE Ch. 5.8B - Prob. 2GCE Ch. 5.8B - Prob. 3GCE Ch. 5.8B - Prob. 4GCE Ch. 5 - Prob. 1SGA Ch. 5 - Prob. 2SGA Ch. 5 - Prob. 3SGA Ch. 5 - Prob. 4SGA Ch. 5 - Prob. 5SGA Ch. 5 - Prob. 6SGA Ch. 5 - Prob. 7SGA Ch. 5 - Prob. 8SGA Ch. 5 - Prob. 9SGA Ch. 5 - Prob. 10SGA Ch. 5 - Prob. 11SGA Ch. 5 - Prob. 12SGA Ch. 5 - Prob. 13SGA Ch. 5 - Prob. 14SGA Ch. 5 - Prob. 15SGA Ch. 5 - Prob. 16SGA Ch. 5 - Prob. 17SGA Ch. 5 - Prob. 18SGA Ch. 5 - Prob. 19SGA Ch. 5 - Prob. 20SGA Ch. 5 - Prob. 21SGA Ch. 5 - Prob. 22SGA Ch. 5 - Prob. 23SGA Ch. 5 - Prob. 24SGA Ch. 5 - Prob. 25SGA Ch. 5 - Prob. 26SGA Ch. 5 - Prob. 27SGA Ch. 5 - Prob. 28SGA Ch. 5 - Prob. 29SGA Ch. 5 - Prob. 30SGA Ch. 5 - Prob. 31SGA Ch. 5 - Prob. 32SGA Ch. 5 - Prob. 33SGA Ch. 5 - Prob. 34SGA Ch. 5 - Prob. 35SGA Ch. 5 - Prob. 36SGA Ch. 5 - Prob. 37SGA Ch. 5 - Prob. 38SGA Ch. 5 - Prob. 39SGA Ch. 5 - Prob. 40SGA Ch. 5 - Prob. 41SGA Ch. 5 - Prob. 42SGA Ch. 5 - Prob. 43SGA Ch. 5 - Prob. 44SGA Ch. 5 - Prob. 45SGA Ch. 5 - Prob. 46SGA Ch. 5 - Prob. 47SGA Ch. 5 - Prob. 48SGA Ch. 5 - Prob. 49SGA Ch. 5 - Prob. 50SGA Ch. 5 - Prob. 51SGA Ch. 5 - Prob. 52SGA Ch. 5 - Prob. 53SGA Ch. 5 - Prob. 54SGA Ch. 5 - Prob. 55SGA Ch. 5 - Prob. 56SGA Ch. 5 - Prob. 57SGA Ch. 5 - Prob. 58SGA Ch. 5 - Prob. 59SGA Ch. 5 - Prob. 60SGA Ch. 5 - Prob. 1SAP Ch. 5 - Prob. 2SAP Ch. 5 - Prob. 3SAP Ch. 5 - Prob. 4SAP Ch. 5 - Prob. 5SAP Ch. 5 - Prob. 6SAP Ch. 5 - Prob. 7SAP Ch. 5 - Prob. 8SAP Ch. 5 - Prob. 9SAP Ch. 5 - Prob. 10SAP

Additional Math Textbook Solutions

Find more solutions based on key concepts

29-36. Total and Annual Returns. Compute the total and annual returns on the following investments. 29. Five ye...

Using and Understanding Mathematics: A Quantitative Reasoning Approach (6th Edition)

Critical Thinking. For Exercises 5-20, watch out for these little buggers. Each of these exercises involves som...

Elementary Statistics (13th Edition)

Version 2 of the Chain Rule Use Version 2 of the Chain Rule to calculate the derivatives of the following funct...

Calculus: Early Transcendentals (2nd Edition)

Solve the inequality 3x27 .

Precalculus

Simulating Guessing on a Multiple-Choice Test Suppose a student takes a 10-question multiple-choice quiz, and f...

Introductory Statistics

1. How many solutions are there to ax + b = 0 with ?

College Algebra with Modeling & Visualization (5th Edition)

Knowledge Booster

$Calculus$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.