Q. 2.122 Use the formula A=12脳b脳h聽to s... [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. 2.122 (page 273)

Use the formula $A= \frac{1}{2} 脳 b 脳 h$ to solve for b : 鈸� when A = 62 and h = 31 鈸� in general

Short Answer

Expert verified

$a . Thesolutionforthegivenformulaisb=4 b . Wecanfindthebaseofatriangle,ifweknowtheareaandheightbyusingtheformuala,b= \frac{2 A}{h}$

Step by step solution

Step 1. Given information

The given formula is

We have to solve the given eqauation forb : 鈸� when A = 62 and h = 31 鈸� in general

Step 2. Part(a) Explanation

$\begin{array}{l} Solve:a.WhenA=62andh=31 \\ GivenformulaA= \frac{1}{2} 脳 b 脳 h \\ 鈬� 62= \frac{1}{2} 脳 b 脳 31 (Substitute) \\ 鈬� 2 脳 62=2 脳 \frac{1}{2} 脳 b 脳 31 (Multiplybothsidesby2) \\ 鈬� 124 = b 脳 31 (simplify) \\ 鈬� \frac{124}{31} = \frac{b 脳 31}{31} (Dividebothsidesby31) \\ 鈬� 4 =b(Simplify) \\ Thesolutionforthegivenformulaisb=4 \end{array}$

Step 2. Part (b)

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

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91影视

Use the formula $A= \frac{1}{2} 脳 b 脳 h$ to solve for b : 鈸� when A = 62 and h = 31 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

Use the formula A=12脳b脳hto solve for b : 鈸� when A = 62 and h = 31 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

Probability and Statistics

Discrete Mathematics

Geometry

Theoretical and Mathematical Physics

Mechanics Maths

Calculus

Study anywhere. Anytime. Across all devices.

Use the formula $A= \frac{1}{2} 脳 b 脳 h$ to solve for b : 鈸� when A = 62 and h = 31 鈸� in general