Algebra and Trigonometry: Structure and Method, Book 2

2000th Edition

ISBN: 9780395977255

Author: MCDOUGAL LITTEL

Publisher: McDougal Littell

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Concept explainers

Power Operation

Power operation is topic of algebra in Math. It is use to represent repeated multiplication. Very big number and very small number can be easily express using power operation. Power operation is useful in many fields. In space engineering, it helps in re…

Exponents

The exponent or power or index of a variable/number is the number of times that variable/number is multiplied by itself.

Question

Polygon with three sides, three angles, and three vertices. Based on the properties of each side, the types of triangles are scalene (triangle with three three different lengths and three different angles), isosceles (angle with two equal sides and two equal angles), and equilateral (three equal sides and three angles of 60°). The types of angles are acute (less than 90°); obtuse (greater than 90°); and right (90°).

Chapter 7.2, Problem 12P

To determine

Tofind:The value of the golden ratio.

Expert Solution & Answer

Answer to Problem 12P

Thevalue of the golden ratio is 1.618.

Explanation of Solution

In a golden rectangle, the ratio of length to the width equals the ratio of the length plus width to the length.

Algebra and Trigonometry: Structure and Method, Book 2, Chapter 7.2, Problem 12P

The value of golden ratio in golden triangle is

ϕ=1+52ϕ=1.618

Therefore, the value of the golden ratio is 1.618.

Chapter 7.2, Problem 11P

Chapter 7.2, Problem 13P

Chapter 7 Solutions

Algebra and Trigonometry: Structure and Method, Book 2

Ch. 7.1 - Prob. 1OE Ch. 7.1 - Prob. 2OE Ch. 7.1 - Prob. 3OE Ch. 7.1 - Prob. 4OE Ch. 7.1 - Prob. 5OE Ch. 7.1 - Prob. 6OE Ch. 7.1 - Prob. 7OE Ch. 7.1 - Prob. 8OE Ch. 7.1 - Prob. 9OE Ch. 7.1 - Prob. 10OE

Ch. 7.1 - Prob. 11OE Ch. 7.1 - Prob. 12OE Ch. 7.1 - Prob. 13OE Ch. 7.1 - Prob. 14OE Ch. 7.1 - Prob. 15OE Ch. 7.1 - Prob. 16OE Ch. 7.1 - Prob. 17OE Ch. 7.1 - Prob. 18OE Ch. 7.1 - Prob. 19OE Ch. 7.1 - Prob. 20OE Ch. 7.1 - Prob. 1WE Ch. 7.1 - Prob. 2WE Ch. 7.1 - Prob. 3WE Ch. 7.1 - Prob. 4WE Ch. 7.1 - Prob. 5WE Ch. 7.1 - Prob. 6WE Ch. 7.1 - Prob. 7WE Ch. 7.1 - Prob. 8WE Ch. 7.1 - Prob. 9WE Ch. 7.1 - Prob. 10WE Ch. 7.1 - Prob. 11WE Ch. 7.1 - Prob. 12WE Ch. 7.1 - Prob. 13WE Ch. 7.1 - Prob. 14WE Ch. 7.1 - Prob. 15WE Ch. 7.1 - Prob. 16WE Ch. 7.1 - Prob. 17WE Ch. 7.1 - Prob. 18WE Ch. 7.1 - Prob. 19WE Ch. 7.1 - Prob. 20WE Ch. 7.1 - Prob. 21WE Ch. 7.1 - Prob. 22WE Ch. 7.1 - Prob. 23WE Ch. 7.1 - Prob. 24WE Ch. 7.1 - Prob. 25WE Ch. 7.1 - Prob. 26WE Ch. 7.1 - Prob. 27WE Ch. 7.1 - Prob. 28WE Ch. 7.1 - Prob. 29WE Ch. 7.1 - Prob. 30WE Ch. 7.1 - Prob. 31WE Ch. 7.1 - Prob. 32WE Ch. 7.1 - Prob. 33WE Ch. 7.1 - Prob. 34WE Ch. 7.1 - Prob. 35WE Ch. 7.1 - Prob. 36WE Ch. 7.1 - Prob. 37WE Ch. 7.1 - Prob. 38WE Ch. 7.1 - 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Prob. 30WE Ch. 7.4 - Prob. 31WE Ch. 7.4 - Prob. 32WE Ch. 7.4 - Prob. 1ST Ch. 7.4 - Prob. 2ST Ch. 7.4 - Prob. 3ST Ch. 7.4 - Prob. 4ST Ch. 7.4 - Prob. 5ST Ch. 7.4 - Prob. 6ST Ch. 7.4 - Prob. 7ST Ch. 7.4 - Prob. 8ST Ch. 7.4 - Prob. 9ST Ch. 7.4 - Prob. 10ST Ch. 7.5 - Prob. 1OE Ch. 7.5 - Prob. 2OE Ch. 7.5 - Prob. 3OE Ch. 7.5 - Prob. 4OE Ch. 7.5 - Prob. 5OE Ch. 7.5 - Prob. 6OE Ch. 7.5 - Prob. 7OE Ch. 7.5 - Prob. 8OE Ch. 7.5 - Prob. 9OE Ch. 7.5 - Prob. 10OE Ch. 7.5 - Prob. 11OE Ch. 7.5 - Prob. 12OE Ch. 7.5 - Prob. 13OE Ch. 7.5 - Prob. 14OE Ch. 7.5 - Prob. 15OE Ch. 7.5 - Prob. 16OE Ch. 7.5 - Prob. 17OE Ch. 7.5 - Prob. 1WE Ch. 7.5 - Prob. 2WE Ch. 7.5 - Prob. 3WE Ch. 7.5 - Prob. 4WE Ch. 7.5 - Prob. 5WE Ch. 7.5 - Prob. 6WE Ch. 7.5 - Prob. 7WE Ch. 7.5 - Prob. 8WE Ch. 7.5 - Prob. 9WE Ch. 7.5 - Prob. 10WE Ch. 7.5 - Prob. 11WE Ch. 7.5 - Prob. 12WE Ch. 7.5 - Prob. 13WE Ch. 7.5 - Prob. 14WE Ch. 7.5 - Prob. 15WE Ch. 7.5 - Prob. 16WE Ch. 7.5 - Prob. 17WE Ch. 7.5 - Prob. 18WE Ch. 7.5 - Prob. 19WE Ch. 7.5 - Prob. 20WE Ch. 7.5 - Prob. 21WE Ch. 7.5 - Prob. 22WE Ch. 7.5 - Prob. 23WE Ch. 7.5 - Prob. 24WE Ch. 7.5 - Prob. 25WE Ch. 7.5 - Prob. 26WE Ch. 7.5 - Prob. 27WE Ch. 7.5 - Prob. 28WE Ch. 7.5 - Prob. 29WE Ch. 7.5 - Prob. 30WE Ch. 7.5 - Prob. 31WE Ch. 7.5 - Prob. 32WE Ch. 7.5 - Prob. 33WE Ch. 7.5 - Prob. 34WE Ch. 7.5 - Prob. 35WE Ch. 7.5 - Prob. 36WE Ch. 7.5 - Prob. 37WE Ch. 7.5 - Prob. 38WE Ch. 7.5 - Prob. 39WE Ch. 7.5 - Prob. 1MRE Ch. 7.5 - Prob. 2MRE Ch. 7.5 - Prob. 3MRE Ch. 7.5 - Prob. 4MRE Ch. 7.5 - Prob. 5MRE Ch. 7.5 - Prob. 6MRE Ch. 7.6 - Prob. 1OE Ch. 7.6 - Prob. 2OE Ch. 7.6 - Prob. 3OE Ch. 7.6 - Prob. 4OE Ch. 7.6 - Prob. 5OE Ch. 7.6 - Prob. 6OE Ch. 7.6 - Prob. 7OE Ch. 7.6 - Prob. 1WE Ch. 7.6 - Prob. 2WE Ch. 7.6 - Prob. 3WE Ch. 7.6 - Prob. 4WE Ch. 7.6 - Prob. 5WE Ch. 7.6 - Prob. 6WE Ch. 7.6 - Prob. 7WE Ch. 7.6 - Prob. 8WE Ch. 7.6 - Prob. 9WE Ch. 7.6 - Prob. 10WE Ch. 7.6 - Prob. 11WE Ch. 7.6 - Prob. 12WE Ch. 7.6 - Prob. 13WE Ch. 7.6 - Prob. 14WE Ch. 7.6 - Prob. 15WE Ch. 7.6 - Prob. 16WE Ch. 7.6 - Prob. 17WE Ch. 7.6 - Prob. 18WE Ch. 7.6 - Prob. 19WE Ch. 7.6 - Prob. 20WE Ch. 7.6 - Prob. 21WE Ch. 7.6 - Prob. 22WE Ch. 7.6 - Prob. 23WE Ch. 7.6 - Prob. 24WE Ch. 7.6 - Prob. 25WE Ch. 7.6 - Prob. 26WE Ch. 7.6 - Prob. 27WE Ch. 7.6 - Prob. 28WE Ch. 7.6 - Prob. 29WE Ch. 7.6 - Prob. 30WE Ch. 7.6 - Prob. 31WE Ch. 7.6 - Prob. 32WE Ch. 7.6 - Prob. 33WE Ch. 7.6 - Prob. 34WE Ch. 7.6 - Prob. 35WE Ch. 7.6 - Prob. 36WE Ch. 7.6 - Prob. 37WE Ch. 7.6 - Prob. 38WE Ch. 7.6 - Prob. 39WE Ch. 7.6 - Prob. 40WE Ch. 7.6 - Prob. 41WE Ch. 7.6 - Prob. 42WE Ch. 7.6 - Prob. 43WE Ch. 7.6 - Prob. 44WE Ch. 7.7 - Prob. 1OE Ch. 7.7 - Prob. 2OE Ch. 7.7 - Prob. 3OE Ch. 7.7 - Prob. 4OE Ch. 7.7 - Prob. 5OE Ch. 7.7 - Prob. 6OE Ch. 7.7 - Prob. 7OE Ch. 7.7 - Prob. 8OE Ch. 7.7 - Prob. 9OE Ch. 7.7 - Prob. 10OE Ch. 7.7 - Prob. 11OE Ch. 7.7 - Prob. 12OE Ch. 7.7 - Prob. 13OE Ch. 7.7 - Prob. 14OE Ch. 7.7 - Prob. 15OE Ch. 7.7 - Prob. 1WE Ch. 7.7 - Prob. 2WE Ch. 7.7 - Prob. 3WE Ch. 7.7 - Prob. 4WE Ch. 7.7 - Prob. 5WE Ch. 7.7 - Prob. 6WE Ch. 7.7 - Prob. 7WE Ch. 7.7 - Prob. 8WE Ch. 7.7 - Prob. 9WE Ch. 7.7 - Prob. 10WE Ch. 7.7 - Prob. 11WE Ch. 7.7 - Prob. 12WE Ch. 7.7 - Prob. 13WE Ch. 7.7 - Prob. 14WE Ch. 7.7 - Prob. 15WE Ch. 7.7 - Prob. 16WE Ch. 7.7 - Prob. 17WE Ch. 7.7 - Prob. 18WE Ch. 7.7 - Prob. 19WE Ch. 7.7 - Prob. 20WE Ch. 7.7 - Prob. 21WE Ch. 7.7 - Prob. 22WE Ch. 7.7 - Prob. 23WE Ch. 7.7 - Prob. 24WE Ch. 7.7 - Prob. 25WE Ch. 7.7 - Prob. 26WE Ch. 7.7 - Prob. 27WE Ch. 7.7 - Prob. 28WE Ch. 7.7 - Prob. 29WE Ch. 7.7 - Prob. 30WE Ch. 7.7 - Prob. 31WE Ch. 7.7 - Prob. 32WE Ch. 7.7 - Prob. 33WE Ch. 7.7 - Prob. 34WE Ch. 7.7 - Prob. 35WE Ch. 7.7 - Prob. 36WE Ch. 7.7 - Prob. 37WE Ch. 7.7 - Prob. 38WE Ch. 7.7 - Prob. 39WE Ch. 7.7 - Prob. 40WE Ch. 7.7 - Prob. 1P Ch. 7.7 - Prob. 2P Ch. 7.7 - Prob. 3P Ch. 7.7 - Prob. 4P Ch. 7.7 - Prob. 5P Ch. 7.7 - Prob. 6P Ch. 7.7 - Prob. 7P Ch. 7.7 - Prob. 8P Ch. 7.7 - Prob. 9P Ch. 7.7 - Prob. 10P Ch. 7.7 - Prob. 11P Ch. 7.7 - Prob. 12P Ch. 7.7 - Prob. 13P Ch. 7.7 - Prob. 14P Ch. 7.7 - Prob. 15P Ch. 7.7 - 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