High School Math 2015 Common Core Algebra 1 Student Edition Grade 8/9
High School Math 2015 Common Core Algebra 1 Student Edition Grade 8/9
15th Edition
ISBN: 9780133281149
Author: Prentice Hall
Publisher: Prentice Hall
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Chapter 10.2, Problem 35PPE
To determine

Find the simplified expression for the distance between opposite corners of the park.

Expert Solution & Answer
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Answer to Problem 35PPE

The simplified expression for the distance between the opposite corners of the park is w26 .

Explanation of Solution

Given:

A park is shaped like a rectangle with a length 5 times its width w .

Formula Used:

Pythagoras Theorem:

In a right angled triangle, the square of length of the hypotenuse is equal to the sum of squares of the lengths of the other two sides of the triangle.

Calculation:

Given the length, l is 5 times the width w .

So, l = 5w

Let the distance between opposite corners of the park = c .

  High School Math 2015 Common Core Algebra 1 Student Edition Grade 8/9, Chapter 10.2, Problem 35PPE

The distance between opposite corners of the park is the hypotenuse of the right angled triangle whose sides are the length and width of the park.

Use Pythagoras theorem:

  c2=l2+w2 c 2 = (5w) 2 + w 2 ..............[l=5w]c=(5w)2+w2............[take square root each side]c=26w

So, the simplified expression for the distance between the opposite corners of the park is w26 .

Chapter 10 Solutions

High School Math 2015 Common Core Algebra 1 Student Edition Grade 8/9

Ch. 10.1 - Prob. 8PPECh. 10.1 - Prob. 9PPECh. 10.1 - Prob. 10PPECh. 10.1 - Prob. 11PPECh. 10.1 - Prob. 12PPECh. 10.1 - Prob. 13PPECh. 10.1 - Prob. 14PPECh. 10.1 - Prob. 15PPECh. 10.1 - Prob. 16PPECh. 10.1 - Prob. 17PPECh. 10.1 - Prob. 18PPECh. 10.1 - Prob. 19PPECh. 10.1 - Prob. 20PPECh. 10.1 - Prob. 21PPECh. 10.1 - Prob. 22PPECh. 10.1 - Prob. 23PPECh. 10.1 - Prob. 24PPECh. 10.1 - Prob. 25PPECh. 10.1 - Prob. 26PPECh. 10.1 - Prob. 27PPECh. 10.1 - Prob. 28PPECh. 10.1 - Prob. 29PPECh. 10.1 - Prob. 30PPECh. 10.1 - Prob. 31PPECh. 10.1 - Prob. 32PPECh. 10.1 - Prob. 33PPECh. 10.1 - Prob. 34PPECh. 10.1 - Prob. 35PPECh. 10.1 - Prob. 36PPECh. 10.1 - Prob. 37PPECh. 10.1 - Prob. 38PPECh. 10.1 - Prob. 39PPECh. 10.1 - Prob. 40PPECh. 10.1 - Prob. 41PPECh. 10.1 - Prob. 42PPECh. 10.1 - Prob. 1MPCh. 10.2 - Prob. 1PCh. 10.2 - Prob. 2PCh. 10.2 - Prob. 3PCh. 10.2 - Prob. 4PCh. 10.2 - Prob. 5PCh. 10.2 - Prob. 6PCh. 10.2 - Prob. 1LCCh. 10.2 - Prob. 2LCCh. 10.2 - Prob. 3LCCh. 10.2 - Prob. 4LCCh. 10.2 - Prob. 5LCCh. 10.2 - Prob. 6LCCh. 10.2 - Prob. 7LCCh. 10.2 - Prob. 8LCCh. 10.2 - Prob. 9LCCh. 10.2 - Prob. 10PPECh. 10.2 - Prob. 11PPECh. 10.2 - Prob. 12PPECh. 10.2 - Prob. 13PPECh. 10.2 - Prob. 14PPECh. 10.2 - Prob. 15PPECh. 10.2 - Prob. 16PPECh. 10.2 - Prob. 17PPECh. 10.2 - Prob. 18PPECh. 10.2 - Prob. 19PPECh. 10.2 - Prob. 20PPECh. 10.2 - Prob. 21PPECh. 10.2 - Prob. 22PPECh. 10.2 - Prob. 23PPECh. 10.2 - Prob. 24PPECh. 10.2 - Prob. 25PPECh. 10.2 - Prob. 26PPECh. 10.2 - Prob. 27PPECh. 10.2 - Prob. 28PPECh. 10.2 - Prob. 29PPECh. 10.2 - Prob. 30PPECh. 10.2 - Prob. 31PPECh. 10.2 - Prob. 32PPECh. 10.2 - Prob. 33PPECh. 10.2 - Prob. 34PPECh. 10.2 - Prob. 35PPECh. 10.2 - Prob. 36PPECh. 10.2 - Prob. 37PPECh. 10.2 - Prob. 38PPECh. 10.2 - Prob. 39PPECh. 10.2 - Prob. 40PPECh. 10.2 - Prob. 41PPECh. 10.2 - Prob. 42PPECh. 10.2 - Prob. 43PPECh. 10.2 - Prob. 44PPECh. 10.2 - Prob. 45PPECh. 10.2 - Prob. 46PPECh. 10.2 - Prob. 47PPECh. 10.2 - Prob. 48PPECh. 10.2 - Prob. 49PPECh. 10.2 - Prob. 50PPECh. 10.2 - Prob. 51PPECh. 10.2 - 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Prob. 15PPECh. 10.3 - Prob. 16PPECh. 10.3 - Prob. 17PPECh. 10.3 - Prob. 18PPECh. 10.3 - Prob. 19PPECh. 10.3 - Prob. 20PPECh. 10.3 - Prob. 21PPECh. 10.3 - Prob. 22PPECh. 10.3 - Prob. 23PPECh. 10.3 - Prob. 24PPECh. 10.3 - Prob. 25PPECh. 10.3 - Prob. 26PPECh. 10.3 - Prob. 27PPECh. 10.3 - Prob. 28PPECh. 10.3 - Prob. 29PPECh. 10.3 - Prob. 30PPECh. 10.3 - Prob. 31PPECh. 10.3 - Prob. 32PPECh. 10.3 - Prob. 33PPECh. 10.3 - Prob. 34PPECh. 10.3 - Prob. 35PPECh. 10.3 - Prob. 36PPECh. 10.3 - Prob. 37PPECh. 10.3 - Prob. 38PPECh. 10.3 - Prob. 39PPECh. 10.3 - Prob. 40PPECh. 10.3 - Prob. 41PPECh. 10.3 - Prob. 42PPECh. 10.3 - Prob. 43PPECh. 10.3 - Prob. 44PPECh. 10.3 - Prob. 45PPECh. 10.3 - Prob. 46PPECh. 10.3 - Prob. 47PPECh. 10.3 - Prob. 48PPECh. 10.3 - Prob. 49PPECh. 10.3 - Prob. 50PPECh. 10.3 - Prob. 51PPECh. 10.3 - Prob. 52PPECh. 10.3 - Prob. 53PPECh. 10.3 - Prob. 54PPECh. 10.3 - Prob. 55PPECh. 10.3 - Prob. 56PPECh. 10.3 - Prob. 57PPECh. 10.3 - Prob. 58PPECh. 10.3 - Prob. 59PPECh. 10.3 - Prob. 60PPECh. 10.3 - Prob. 61PPECh. 10.3 - Prob. 62PPECh. 10.3 - Prob. 63PPECh. 10.3 - Prob. 64STPCh. 10.3 - Prob. 65STPCh. 10.3 - Prob. 66STPCh. 10.3 - Prob. 67STPCh. 10.3 - Prob. 68MRCh. 10.3 - Prob. 69MRCh. 10.3 - Prob. 70MRCh. 10.3 - Prob. 71MRCh. 10.3 - Prob. 72MRCh. 10.3 - Prob. 73MRCh. 10.3 - Prob. 74MRCh. 10.3 - Prob. 75MRCh. 10.3 - Prob. 76MRCh. 10.3 - Prob. 77MRCh. 10.3 - Prob. 78MRCh. 10.3 - Prob. 79MRCh. 10.3 - Prob. 80MRCh. 10.3 - Prob. 81MRCh. 10.3 - Prob. 1MCQCh. 10.3 - Prob. 2MCQCh. 10.3 - Prob. 3MCQCh. 10.3 - Prob. 4MCQCh. 10.3 - Prob. 5MCQCh. 10.3 - Prob. 6MCQCh. 10.3 - Prob. 7MCQCh. 10.3 - Prob. 8MCQCh. 10.3 - Prob. 9MCQCh. 10.3 - Prob. 10MCQCh. 10.3 - Prob. 11MCQCh. 10.3 - Prob. 12MCQCh. 10.3 - Prob. 13MCQCh. 10.3 - Prob. 14MCQCh. 10.3 - Prob. 15MCQCh. 10.3 - Prob. 16MCQCh. 10.3 - Prob. 17MCQCh. 10.3 - Prob. 18MCQCh. 10.3 - Prob. 19MCQCh. 10.3 - Prob. 20MCQCh. 10.3 - Prob. 21MCQCh. 10.3 - Prob. 22MCQCh. 10.3 - Prob. 23MCQCh. 10.3 - Prob. 24MCQCh. 10.3 - Prob. 25MCQCh. 10.3 - Prob. 26MCQCh. 10.3 - Prob. 27MCQCh. 10.3 - Prob. 28MCQCh. 10.3 - Prob. 29MCQCh. 10.3 - Prob. 30MCQCh. 10.3 - Prob. 31MCQCh. 10.3 - Prob. 32MCQCh. 10.3 - Prob. 33MCQCh. 10.3 - Prob. 34MCQCh. 10.3 - Prob. 35MCQCh. 10.3 - Prob. 36MCQCh. 10.4 - Prob. 1PCh. 10.4 - Prob. 2PCh. 10.4 - Prob. 3PCh. 10.4 - Prob. 4PCh. 10.4 - Prob. 5PCh. 10.4 - Prob. 1LCCh. 10.4 - Prob. 2LCCh. 10.4 - Prob. 3LCCh. 10.4 - Prob. 4LCCh. 10.4 - Prob. 5LCCh. 10.4 - Prob. 6LCCh. 10.4 - Prob. 7PPECh. 10.4 - Prob. 8PPECh. 10.4 - Prob. 9PPECh. 10.4 - Prob. 10PPECh. 10.4 - Prob. 11PPECh. 10.4 - Prob. 12PPECh. 10.4 - Prob. 13PPECh. 10.4 - Prob. 14PPECh. 10.4 - Prob. 15PPECh. 10.4 - Prob. 16PPECh. 10.4 - Prob. 17PPECh. 10.4 - Prob. 18PPECh. 10.4 - Prob. 19PPECh. 10.4 - Prob. 20PPECh. 10.4 - Prob. 21PPECh. 10.4 - Prob. 22PPECh. 10.4 - Prob. 23PPECh. 10.4 - Prob. 24PPECh. 10.4 - Prob. 25PPECh. 10.4 - Prob. 26PPECh. 10.4 - Prob. 27PPECh. 10.4 - Prob. 28PPECh. 10.4 - Prob. 29PPECh. 10.4 - Prob. 30PPECh. 10.4 - Prob. 31PPECh. 10.4 - Prob. 32PPECh. 10.4 - Prob. 33PPECh. 10.4 - Prob. 34PPECh. 10.4 - Prob. 35PPECh. 10.4 - Prob. 36PPECh. 10.4 - Prob. 37PPECh. 10.4 - Prob. 38PPECh. 10.4 - Prob. 39PPECh. 10.4 - Prob. 40PPECh. 10.4 - Prob. 41PPECh. 10.4 - Prob. 42PPECh. 10.4 - Prob. 43PPECh. 10.4 - Prob. 44PPECh. 10.4 - Prob. 45PPECh. 10.4 - Prob. 46PPECh. 10.4 - Prob. 47PPECh. 10.4 - Prob. 48PPECh. 10.4 - Prob. 49PPECh. 10.4 - Prob. 50PPECh. 10.4 - Prob. 51PPECh. 10.4 - Prob. 52PPECh. 10.4 - Prob. 53STPCh. 10.4 - Prob. 54STPCh. 10.4 - Prob. 55STPCh. 10.4 - Prob. 56STPCh. 10.4 - Prob. 57MRCh. 10.4 - Prob. 58MRCh. 10.4 - Prob. 59MRCh. 10.4 - Prob. 60MRCh. 10.4 - Prob. 61MRCh. 10.4 - Prob. 62MRCh. 10.4 - Prob. 63MRCh. 10.4 - Prob. 64MRCh. 10.4 - Prob. 65MRCh. 10.5 - Prob. 1PCh. 10.5 - Prob. 2PCh. 10.5 - Prob. 3PCh. 10.5 - Prob. 4PCh. 10.5 - Prob. 1LCCh. 10.5 - Prob. 2LCCh. 10.5 - Prob. 3LCCh. 10.5 - Prob. 4LCCh. 10.5 - Prob. 5LCCh. 10.5 - Prob. 6LCCh. 10.5 - Prob. 7PPECh. 10.5 - Prob. 8PPECh. 10.5 - Prob. 9PPECh. 10.5 - Prob. 10PPECh. 10.5 - Prob. 11PPECh. 10.5 - Prob. 12PPECh. 10.5 - Prob. 13PPECh. 10.5 - Prob. 14PPECh. 10.5 - Prob. 15PPECh. 10.5 - Prob. 16PPECh. 10.5 - Prob. 17PPECh. 10.5 - Prob. 18PPECh. 10.5 - Prob. 19PPECh. 10.5 - Prob. 20PPECh. 10.5 - Prob. 21PPECh. 10.5 - Prob. 22PPECh. 10.5 - Prob. 23PPECh. 10.5 - Prob. 24PPECh. 10.5 - Prob. 25PPECh. 10.5 - Prob. 26PPECh. 10.5 - Prob. 27PPECh. 10.5 - Prob. 28PPECh. 10.5 - Prob. 29PPECh. 10.5 - Prob. 30PPECh. 10.5 - Prob. 31PPECh. 10.5 - Prob. 32PPECh. 10.5 - Prob. 33PPECh. 10.5 - Prob. 34PPECh. 10.5 - Prob. 35PPECh. 10.5 - Prob. 36PPECh. 10.5 - Prob. 37PPECh. 10.5 - Prob. 38PPECh. 10.5 - Prob. 39PPECh. 10.5 - Prob. 40PPECh. 10.5 - Prob. 41PPECh. 10.5 - Prob. 42PPECh. 10.5 - Prob. 43PPECh. 10.5 - Prob. 44PPECh. 10.5 - Prob. 45PPECh. 10.5 - Prob. 46PPECh. 10.5 - Prob. 47PPECh. 10.5 - Prob. 48PPECh. 10.5 - Prob. 49PPECh. 10.5 - Prob. 50PPECh. 10.5 - Prob. 51PPECh. 10.5 - Prob. 52PPECh. 10.5 - Prob. 53PPECh. 10.5 - Prob. 54PPECh. 10.5 - Prob. 55PPECh. 10.5 - Prob. 56PPECh. 10.5 - Prob. 57PPECh. 10.5 - Prob. 58PPECh. 10.5 - Prob. 59PPECh. 10.5 - Prob. 60PPECh. 10.5 - Prob. 61PPECh. 10.5 - Prob. 62PPECh. 10.5 - Prob. 63PPECh. 10.5 - Prob. 1MPCh. 10.6 - Prob. 1PCh. 10.6 - Prob. 2PCh. 10.6 - Prob. 3PCh. 10.6 - Prob. 4PCh. 10.6 - Prob. 5PCh. 10.6 - Prob. 1LCCh. 10.6 - Prob. 2LCCh. 10.6 - Prob. 3LCCh. 10.6 - Prob. 4LCCh. 10.6 - Prob. 5LCCh. 10.6 - Prob. 6LCCh. 10.6 - Prob. 7LCCh. 10.6 - Prob. 8PPECh. 10.6 - Prob. 9PPECh. 10.6 - Prob. 10PPECh. 10.6 - Prob. 11PPECh. 10.6 - Prob. 12PPECh. 10.6 - Prob. 13PPECh. 10.6 - Prob. 14PPECh. 10.6 - Prob. 15PPECh. 10.6 - Prob. 16PPECh. 10.6 - Prob. 17PPECh. 10.6 - Prob. 18PPECh. 10.6 - Prob. 19PPECh. 10.6 - Prob. 20PPECh. 10.6 - Prob. 21PPECh. 10.6 - Prob. 22PPECh. 10.6 - Prob. 23PPECh. 10.6 - Prob. 24PPECh. 10.6 - Prob. 25PPECh. 10.6 - Prob. 26PPECh. 10.6 - Prob. 27PPECh. 10.6 - Prob. 28PPECh. 10.6 - Prob. 29PPECh. 10.6 - Prob. 30PPECh. 10.6 - Prob. 31PPECh. 10.6 - Prob. 32PPECh. 10.6 - Prob. 33PPECh. 10.6 - Prob. 34PPECh. 10.6 - Prob. 35PPECh. 10.6 - Prob. 36PPECh. 10.6 - Prob. 37PPECh. 10.6 - Prob. 38PPECh. 10.6 - Prob. 39PPECh. 10.6 - Prob. 40PPECh. 10.6 - Prob. 41PPECh. 10.6 - Prob. 42PPECh. 10.6 - Prob. 43PPECh. 10.6 - Prob. 44PPECh. 10.6 - Prob. 45PPECh. 10.6 - Prob. 46PPECh. 10.6 - Prob. 47PPECh. 10.6 - Prob. 48STPCh. 10.6 - Prob. 49STPCh. 10.6 - Prob. 50STPCh. 10.6 - Prob. 51STPCh. 10.6 - Prob. 52MRCh. 10.6 - Prob. 53MRCh. 10.6 - Prob. 54MRCh. 10.6 - Prob. 55MRCh. 10.6 - Prob. 56MRCh. 10.6 - Prob. 57MRCh. 10.6 - Prob. 58MRCh. 10.6 - Prob. 59MRCh. 10.6 - Prob. 60MRCh. 10.6 - Prob. 61MRCh. 10 - Prob. 1GRCh. 10 - Prob. 2GRCh. 10 - Prob. 3GRCh. 10 - Prob. 4GRCh. 10 - Prob. 5GRCh. 10 - Prob. 6GRCh. 10 - Prob. 7GRCh. 10 - Prob. 8GRCh. 10 - Prob. 9GRCh. 10 - Prob. 10GRCh. 10 - Prob. 11GRCh. 10 - Prob. 12GRCh. 10 - Prob. 13GRCh. 10 - Prob. 14GRCh. 10 - Prob. 15GRCh. 10 - Prob. 16GRCh. 10 - Prob. 17GRCh. 10 - Prob. 18GRCh. 10 - Prob. 19GRCh. 10 - Prob. 20GRCh. 10 - Prob. 21GRCh. 10 - Prob. 22GRCh. 10 - Prob. 1CRCh. 10 - Prob. 2CRCh. 10 - 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Prob. 56CRCh. 10 - Prob. 57CRCh. 10 - Prob. 58CRCh. 10 - Prob. 59CRCh. 10 - Prob. 1CTCh. 10 - Prob. 2CTCh. 10 - Prob. 3CTCh. 10 - Prob. 4CTCh. 10 - Prob. 5CTCh. 10 - Prob. 6CTCh. 10 - Prob. 7CTCh. 10 - Prob. 8CTCh. 10 - Prob. 9CTCh. 10 - Prob. 10CTCh. 10 - Prob. 11CTCh. 10 - Prob. 12CTCh. 10 - Prob. 13CTCh. 10 - Prob. 14CTCh. 10 - Prob. 15CTCh. 10 - Prob. 16CTCh. 10 - Prob. 17CTCh. 10 - Prob. 18CTCh. 10 - Prob. 19CTCh. 10 - Prob. 20CTCh. 10 - Prob. 21CTCh. 10 - Prob. 22CTCh. 10 - Prob. 23CTCh. 10 - Prob. 24CTCh. 10 - Prob. 25CTCh. 10 - Prob. 26CTCh. 10 - Prob. 27CTCh. 10 - Prob. 28CTCh. 10 - Prob. 29CTCh. 10 - Prob. 30CTCh. 10 - Prob. 31CTCh. 10 - Prob. 32CTCh. 10 - Prob. 1CCSRCh. 10 - Prob. 2CCSRCh. 10 - Prob. 3CCSRCh. 10 - Prob. 4CCSRCh. 10 - Prob. 5CCSRCh. 10 - Prob. 6CCSRCh. 10 - Prob. 7CCSRCh. 10 - Prob. 8CCSRCh. 10 - Prob. 9CCSRCh. 10 - Prob. 10CCSRCh. 10 - Prob. 11CCSRCh. 10 - Prob. 12CCSRCh. 10 - Prob. 13CCSRCh. 10 - Prob. 14CCSRCh. 10 - Prob. 15CCSRCh. 10 - Prob. 16CCSRCh. 10 - 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