Algebra and Trigonometry: Structure and Method, Book 2

2000th Edition

ISBN: 9780395977255

Author: MCDOUGAL LITTEL

Publisher: McDougal Littell

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Question

Chapter 7.2, Problem 10P

To determine

Tofind:The value of x in the given figure.

Expert Solution & Answer

Answer to Problem 10P

Thevalue of x is 5.30 units.

Explanation of Solution

Given:

The area of the trapezoid = 90 square units.

The given figure is:

Algebra and Trigonometry: Structure and Method, Book 2, Chapter 7.2, Problem 10P

Calculation:

The area of the trapezoid is given by

A=12(2x+x)(x+6)

Substitute 90 for A .

90=12(2x+x)(x+6)180=2x2+12x+x2+6x3x2+18x−180=0x2+6x−60=0

The solution of the given equation is obtained by using the quadratic formula.

For a quadratic equation in the form of ax2+bx+c=0 , the solution of this equation is given by

x1,2=−b±b2−4ac2a

Comparing the given equation with the standard quadratic equation, the coefficients are:

a=1b=6c=−60

Substituting these in the formula for the roots.

x1=−(6)±(6)2−4×1×(−60)2×1=−6±36+2402=−6±16.6132=5.30,−11.3

The dimension cannot be negative.

The value of x is 5.30 units.

Therefore, the value of x is 5.30 units.

Chapter 7.2, Problem 9P

Chapter 7.2, Problem 11P

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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Tofind: The value of x in the given figure.

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Tofind:The value of x in the given figure.

Answer to Problem 10P

Explanation of Solution

Chapter 7 Solutions

Additional Math Textbook Solutions