Q. 399 In the following exercise, use t... [FREE SOLUTION]

91影视

Elementary Algebra

Lynn Marecek, MaryAnne Anthony-Smith

$Math Studyset 91影视 Explanations$ Math

2nd Edition 路 1240 pages

ISBN: 9780998625713

Chapter 2: Q. 399 (page 273)

In the following exercise, use the formula $A= \frac{1}{2} 脳 b 脳 h$
Solve for b 鈸� when A = 65 and h = 13 鈸� in general .

Short Answer

Expert verified

$a . Thesolutionforthegivenformulaisb=10 b Wecanfindthebaseofatriangle,ifweknowtheareaandheightbyusingtheformuala,b= \frac{2 A}{h}$

Step by step solution

Step 1. Given information

The given formula is $A= \frac{1}{2} 脳 b 脳 h$

We have to solve the given eqauation for b 鈸� when A = 65 and h = 13 鈸� in general .

Step 2. Part(a) Explanation

$\begin{array}{l} Solve:a.WhenA=65andh=13 \\ GivenformulaA= \frac{1}{2} 脳 b 脳 h \\ 鈬� 65= \frac{1}{2} 脳 b 脳 13 (Substitute) \\ 鈬� 2 脳 65=2 脳 \frac{1}{2} 脳 b 脳 13 (Multiplybothsidesby2) \\ 鈬� 130 = b 脳 13 (simplify) \\ 鈬� \frac{130}{13} = \frac{b 脳 13}{13} (Dividebothsidesby13) \\ 鈬� 10 =b(Simplify) \\ Thesolutionforthegivenformulaisb=10 \end{array}$

Step 2. Part(b)

$\begin{array}{l} b.Ingeneral \\ GivenformulaA= \frac{1}{2} 脳 b 脳 h \\ 鈬� 2 脳 A= 2 脳 \frac{1}{2} 脳 b 脳 h (Multiplybothsidesby2toclearthefraction) \\ 鈬� 2 A= b 脳 h (Simplify) \\ 鈬� \frac{2 A}{h} = \frac{b 脳 h}{h} (Dividebothsidesbyh) \\ 鈬� \frac{2 A}{h} =b(Simplifyforh) \\ b Wecanfindthebaseofatriangle,ifweknowtheareaandheightbyusingtheformuala,b= \frac{2 A}{h} \end{array}$

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91影视

In the following exercise, use the formula $A= \frac{1}{2} 脳 b 脳 h$
Solve for b 鈸� when A = 65 and h = 13 鈸� in general .

Short Answer

Step by step solution

Step 1. Given information

Step 2. Part(a) Explanation

Step 2. Part(b)

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91影视

In the following exercise, use the formula A=12脳b脳hSolve for b 鈸� when A = 65 and h = 13 鈸� in general .

Short Answer

Step by step solution

Step 1. Given information

Step 2. Part(a) Explanation

Step 2. Part(b)

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

Theoretical and Mathematical Physics

Mechanics Maths

Logic and Functions

Discrete Mathematics

Pure Maths

Study anywhere. Anytime. Across all devices.

In the following exercise, use the formula $A= \frac{1}{2} 脳 b 脳 h$
Solve for b 鈸� when A = 65 and h = 13 鈸� in general .