Q. 398 In the following exercises, use ... [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. 398 (page 273)

In the following exercises, use the formula $A= \frac{1}{2} 脳 b 脳 h$
Solve for h 鈸� when A = 375 and b = 25 鈸� in general .

Short Answer

Expert verified

$a . Thesolutionforthegivenformulaish=30 b . Wecanfindtheheightofatriangle,ifweknowtheareaandbasebyusingtheformuala,h= \frac{2 A}{b}$

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 h : 鈸� when A= 375 and b = 25 鈸� in general .

Step 2. Part(a) Explanation

$\begin{array}{l} Solve:a.WhenA=375andb=25 \\ GivenformulaA= \frac{1}{2} 脳 b 脳 h \\ 鈬� 375= \frac{1}{2} 脳 25 脳 h (Substitute) \\ 鈬� 2 脳 375 =2 脳 \frac{1}{2} 脳 25 脳 h (Multiplybothsidesby2) \\ 鈬� 750 = 25 脳 h (simplify) \\ 鈬� \frac{750}{25} = \frac{25 脳 h}{25} (Dividebothsidesby25) \\ 鈬� 30 =h(Simplify) \\ Thesolutionforthegivenformulaish=30 \end{array}$

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

In the following exercises, use the formula $A= \frac{1}{2} 脳 b 脳 h$
Solve for h 鈸� when A = 375 and b = 25 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 exercises, use the formula A=12脳b脳hSolve for h 鈸� when A = 375 and b = 25 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

Calculus

Logic and Functions

Statistics

Pure Maths

Decision Maths

Study anywhere. Anytime. Across all devices.

In the following exercises, use the formula $A= \frac{1}{2} 脳 b 脳 h$
Solve for h 鈸� when A = 375 and b = 25 鈸� in general .