Q. 397 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. 397 (page 273)

In the following exercises, use the formula $A= \frac{1}{2} 脳 b 脳 h$ .
Solve for h 鈸� when A= 176 and b = 22 鈸� in general .

Short Answer

Expert verified

$a . Thesolutionforthegivenformulaish=16 b . Wecanfindtheheightofatriangle,ifweknowtheareaandbasebyusingtheformuala,h= \frac{2 A}{b}$

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 : when 鈸�A= 176 andb = 22 鈸� in general .

Step 2. Part(a) Explanation

$\begin{array}{l} Solve:a.WhenA=176andb=22 \\ GivenformulaA= \frac{1}{2} 脳 b 脳 h \\ 鈬� 176= \frac{1}{2} 脳 22 脳 h (Substitute) \\ 鈬� 2 脳 176=2 脳 \frac{1}{2} 脳 22 脳 h (Multiplybothsidesby2) \\ 鈬� 352 =22 脳 h (simplify) \\ 鈬� \frac{352}{22} = \frac{22 脳 h}{22} (Dividebothsidesby22) \\ 鈬� 16 =h(Simplify) \\ Thesolutionforthegivenformulais=16 \end{array}$

Step 2. Part(b)

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

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

91影视

In the following exercises, use the formula $A= \frac{1}{2} 脳 b 脳 h$ .
Solve for h 鈸� when A= 176 and b = 22 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

Mechanics Maths

Logic and Functions

Decision Maths

Calculus

Probability and Statistics

Geometry

Study anywhere. Anytime. Across all devices.

91影视

In the following exercises, use the formula A=12脳b脳h.Solve for h 鈸� when A= 176 and b = 22 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

Mechanics Maths

Logic and Functions

Decision Maths

Calculus

Probability and Statistics

Geometry

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= 176 and b = 22 鈸� in general .