Q. 2.121 Use the formula A=12b脳h to sol... [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. 2.121 (page 269)

Use the formula $A = \frac{1}{2} b 脳 h$ to solve for h : 鈸� when A = 170 andb = 17 鈸� in general

Short Answer

Expert verified

$a . Thesolutionforthegivenformulaish=20 b . Wecanfindtheheightofatriangle,ifweknowtheareaandbasebyusingtheformuala,h= \frac{2 A}{b}$

Step by step solution

Step 1. Given information

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

We have to solve the given eqauation for h : when 鈸� A = 170 and b = 17 鈸� in general

Step 2. Part(b). Explanation

$\begin{array}{l} Solve:a.WhenA=170andb=17 \\ GivenformulaA= \frac{1}{2} 脳 b 脳 h \\ 鈬� 170= \frac{1}{2} 脳 17 脳 h (Substitute) \\ 鈬� 2 脳 170=2 脳 \frac{1}{2} 脳 17 脳 h (Multiplybothsidesby2) \\ 鈬� 340 = 17 脳 h (simplify) \\ 鈬� \frac{340}{17} = \frac{17 脳 h}{17} (Dividebothsidesby17) \\ 鈬� 20 =h(Simplify) \\ Thesolutionforthegivenformulaish=20 \end{array}$

Step 2. Part(b)

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

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91影视

Use the formula $A = \frac{1}{2} b 脳 h$ to solve for h : 鈸� when A = 170 andb = 17 鈸� in general

Short Answer

Step by step solution

Step 1. Given information

Step 2. Part(b). Explanation

Step 2. Part(b)

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91影视

Use the formula A=12b脳h to solve for h : 鈸� when A = 170 andb = 17 鈸� in general

Short Answer

Step by step solution

Step 1. Given information

Step 2. Part(b). Explanation

Step 2. Part(b)

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

Probability and Statistics

Logic and Functions

Pure Maths

Discrete Mathematics

Decision Maths

Study anywhere. Anytime. Across all devices.

Use the formula $A = \frac{1}{2} b 脳 h$ to solve for h : 鈸� when A = 170 andb = 17 鈸� in general