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)

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Most popular questions from this chapter

Recommended explanations on Math Textbooks

Geometry

Logic and Functions

Decision Maths

Calculus

Pure Maths

Statistics

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