Algebra 1
Algebra 1
1st Edition
ISBN: 9780078884801
Author: McGraw-Hill/Glencoe
Publisher: Glencoe/McGraw-Hill School Pub Co
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Chapter 7.6, Problem 30PPS

(a)

To determine

To find: The area of trapezoidal cross section of the dam.

(a)

Expert Solution
Check Mark

Answer to Problem 30PPS

The area of trapezoidal cross section of the dam is 1110h2−30h .

Explanation of Solution

Given information:

Given a new dam being built has the shape of a trapezoid. The base at the bottom of the dam is 2 times the height. The base at the top of the dam is times the height minus 30 feet.

  Algebra 1, Chapter 7.6, Problem 30PPS , additional homework tip 1

Calculation:

Calculate the expression

Then the equation for the area of a trapezoid:

  A=12(b1+b2)hwhere,b1=2hb2=15h−30

Then Area:

  A=12(b1+b2)h=12(2h+(15h−30))h=12(115h−30)h=1110h2−30h

Therefore, the area of trapezoidal cross section of the dam is 1110h2−30h .

(b)

To determine

To find: The area of this cross section, if the height of the dam is 180 feet.

(b)

Expert Solution
Check Mark

Answer to Problem 30PPS

The area is 32940 square feet

Explanation of Solution

Given information:

Given a new dam being built has the shape of a trapezoid. The base at the bottom of the dam is 2 times the height. The base at the top of the dam is times the height minus 30 feet.

  Algebra 1, Chapter 7.6, Problem 30PPS , additional homework tip 2

Calculation:

Calculate the expression

If the height of the dam is h=180 feet, then the area of this cross section:

  1110h2−30h=1110(180)2−30(180)=1110(32400)−2700=35640−2700=32940

Therefore, the area is 32940 square feet.

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Chapter 7.6, Problem 11CYU
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Chapter 7.6, Problem 41PPS

Chapter 7 Solutions

Algebra 1

Ch. 7.1 - Prob. 57PPSCh. 7.1 - Prob. 61PPSCh. 7.1 - Prob. 62PPSCh. 7.1 - Prob. 63PPSCh. 7.1 - Prob. 64HPCh. 7.1 - Prob. 65HPCh. 7.1 - Prob. 66HPCh. 7.1 - Prob. 67HPCh. 7.1 - Prob. 1ACYPCh. 7.1 - Prob. 1BCYP
Ch. 7.1 - Prob. 1CCYPCh. 7.1 - Prob. 1DCYPCh. 7.1 - Prob. 2ACYPCh. 7.1 - Prob. 2BCYPCh. 7.1 - Prob. 3ACYPCh. 7.1 - Prob. 3BCYPCh. 7.1 - Prob. 4ACYPCh. 7.1 - Prob. 4BCYPCh. 7.1 - Prob. 5CYPCh. 7.1 - Prob. 1CYUCh. 7.1 - Prob. 2CYUCh. 7.1 - Prob. 3CYUCh. 7.1 - Prob. 4CYUCh. 7.1 - Prob. 5CYUCh. 7.1 - Prob. 6CYUCh. 7.1 - Prob. 7CYUCh. 7.1 - Prob. 8CYUCh. 7.1 - Prob. 9CYUCh. 7.1 - Prob. 10CYUCh. 7.1 - Prob. 11CYUCh. 7.1 - Prob. 12CYUCh. 7.1 - Prob. 13CYUCh. 7.1 - Prob. 14CYUCh. 7.1 - Prob. 15CYUCh. 7.1 - Prob. 16CYUCh. 7.1 - Prob. 17CYUCh. 7.1 - Prob. 18CYUCh. 7.1 - Prob. 19CYUCh. 7.1 - Prob. 20CYUCh. 7.1 - Prob. 21PPSCh. 7.1 - Prob. 22PPSCh. 7.1 - Prob. 23PPSCh. 7.1 - Prob. 24PPSCh. 7.1 - Prob. 25PPSCh. 7.1 - Prob. 26PPSCh. 7.1 - Prob. 27PPSCh. 7.1 - Prob. 28PPSCh. 7.1 - Prob. 29PPSCh. 7.1 - Prob. 30PPSCh. 7.1 - Prob. 31PPSCh. 7.1 - Prob. 32PPSCh. 7.1 - Prob. 33PPSCh. 7.1 - Prob. 34PPSCh. 7.1 - Prob. 35PPSCh. 7.1 - Prob. 36PPSCh. 7.1 - Prob. 37PPSCh. 7.1 - Prob. 38PPSCh. 7.1 - Prob. 39PPSCh. 7.1 - 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Prob. 73HPCh. 7.3 - Prob. 74HPCh. 7.3 - Prob. 75HPCh. 7.3 - Prob. 1ACYPCh. 7.3 - Prob. 1BCYPCh. 7.3 - Prob. 2ACYPCh. 7.3 - Prob. 2BCYPCh. 7.3 - Prob. 3ACYPCh. 7.3 - Prob. 3BCYPCh. 7.3 - Prob. 4ACYPCh. 7.3 - Prob. 4BCYPCh. 7.3 - Prob. 1CYUCh. 7.3 - Prob. 2CYUCh. 7.3 - Prob. 3CYUCh. 7.3 - Prob. 4CYUCh. 7.3 - Prob. 5CYUCh. 7.3 - Prob. 6CYUCh. 7.3 - Prob. 7CYUCh. 7.3 - Prob. 8CYUCh. 7.3 - Prob. 9CYUCh. 7.3 - Prob. 10CYUCh. 7.3 - Prob. 5ACYPCh. 7.3 - Prob. 5BCYPCh. 7.3 - Prob. 5CCYPCh. 7.3 - Prob. 11CYUCh. 7.3 - Prob. 12CYUCh. 7.3 - Prob. 13CYUCh. 7.3 - Prob. 14CYUCh. 7.3 - Prob. 15CYUCh. 7.3 - Prob. 16CYUCh. 7.3 - Prob. 17CYUCh. 7.3 - Prob. 18CYUCh. 7.3 - Prob. 20PPSCh. 7.3 - Prob. 21PPSCh. 7.3 - Prob. 22PPSCh. 7.3 - Prob. 23PPSCh. 7.3 - Prob. 24PPSCh. 7.3 - Prob. 25PPSCh. 7.3 - Prob. 26PPSCh. 7.3 - Prob. 27PPSCh. 7.3 - Prob. 28PPSCh. 7.3 - Prob. 29PPSCh. 7.3 - Prob. 30PPSCh. 7.3 - Prob. 31PPSCh. 7.3 - Prob. 32PPSCh. 7.3 - Prob. 33PPSCh. 7.3 - Prob. 34PPSCh. 7.3 - Prob. 35PPSCh. 7.3 - Prob. 36PPSCh. 7.3 - 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Prob. 2CYUCh. 7.4 - Prob. 3CYUCh. 7.4 - Prob. 4CYUCh. 7.4 - Prob. 5CYUCh. 7.4 - Prob. 6CYUCh. 7.4 - Prob. 7CYUCh. 7.4 - Prob. 8CYUCh. 7.4 - Prob. 9CYUCh. 7.4 - Prob. 10CYUCh. 7.4 - Prob. 11CYUCh. 7.4 - Prob. 12CYUCh. 7.4 - Prob. 13CYUCh. 7.4 - Prob. 14CYUCh. 7.4 - Prob. 15CYUCh. 7.4 - Prob. 16CYUCh. 7.4 - Prob. 17CYUCh. 7.4 - Prob. 18CYUCh. 7.4 - Prob. 19CYUCh. 7.4 - Prob. 20PPSCh. 7.4 - Prob. 21PPSCh. 7.4 - Prob. 22PPSCh. 7.4 - Prob. 23PPSCh. 7.4 - Prob. 24PPSCh. 7.4 - Prob. 25PPSCh. 7.4 - Prob. 26PPSCh. 7.4 - Prob. 27PPSCh. 7.4 - Prob. 28PPSCh. 7.4 - Prob. 29PPSCh. 7.4 - Prob. 30PPSCh. 7.4 - Prob. 31PPSCh. 7.4 - Prob. 32PPSCh. 7.4 - Prob. 33PPSCh. 7.4 - Prob. 34PPSCh. 7.4 - Prob. 35PPSCh. 7.4 - Prob. 36PPSCh. 7.4 - Prob. 37PPSCh. 7.4 - Prob. 38PPSCh. 7.4 - Prob. 39PPSCh. 7.4 - Prob. 40PPSCh. 7.4 - Prob. 41PPSCh. 7.4 - Prob. 42PPSCh. 7.4 - Prob. 43PPSCh. 7.4 - Prob. 44PPSCh. 7.4 - Prob. 45PPSCh. 7.4 - Prob. 46PPSCh. 7.4 - Prob. 47PPSCh. 7.4 - Prob. 48PPSCh. 7.4 - Prob. 49PPSCh. 7.4 - Prob. 61SRCh. 7.4 - Prob. 62SRCh. 7.4 - Prob. 63SRCh. 7.4 - Prob. 64SRCh. 7.4 - Prob. 65SRCh. 7.4 - Prob. 66SRCh. 7.4 - Prob. 67SRCh. 7.4 - Prob. 68SRCh. 7.4 - Prob. 69SRCh. 7.4 - Prob. 70SRCh. 7.4 - Prob. 71SRCh. 7.4 - Prob. 72SRCh. 7.4 - Prob. 73SRCh. 7.4 - Prob. 74SCh. 7.4 - Prob. 75SCh. 7.4 - Prob. 76SCh. 7.4 - Prob. 77SCh. 7.4 - Prob. 78SCh. 7.4 - Prob. 79SCh. 7.4 - Prob. 57STPCh. 7.4 - Prob. 58STPCh. 7.4 - Prob. 59STPCh. 7.4 - Prob. 60STPCh. 7.5 - Prob. 36HPCh. 7.5 - Prob. 37HPCh. 7.5 - Prob. 38HPCh. 7.5 - Prob. 39HPCh. 7.5 - Prob. 40HPCh. 7.5 - Prob. 41HPCh. 7.5 - Prob. 1ACYPCh. 7.5 - Prob. 1BCYPCh. 7.5 - Prob. 2ACYPCh. 7.5 - Prob. 2BCYPCh. 7.5 - Prob. 3CYPCh. 7.5 - Prob. 1CYUCh. 7.5 - Prob. 2CYUCh. 7.5 - Prob. 3CYUCh. 7.5 - Prob. 4CYUCh. 7.5 - Prob. 5CYUCh. 7.5 - Prob. 6CYUCh. 7.5 - Prob. 7CYUCh. 7.5 - Prob. 8CYUCh. 7.5 - Prob. 9CYUCh. 7.5 - Prob. 10PPSCh. 7.5 - Prob. 11PPSCh. 7.5 - Prob. 12PPSCh. 7.5 - Prob. 13PPSCh. 7.5 - Prob. 14PPSCh. 7.5 - Prob. 15PPSCh. 7.5 - Prob. 16PPSCh. 7.5 - Prob. 17PPSCh. 7.5 - Prob. 18PPSCh. 7.5 - Prob. 19PPSCh. 7.5 - Prob. 20PPSCh. 7.5 - Prob. 21PPSCh. 7.5 - Prob. 22PPSCh. 7.5 - Prob. 23PPSCh. 7.5 - Prob. 24PPSCh. 7.5 - Prob. 25PPSCh. 7.5 - Prob. 26PPSCh. 7.5 - Prob. 27PPSCh. 7.5 - Prob. 28PPSCh. 7.5 - Prob. 29PPSCh. 7.5 - Prob. 30PPSCh. 7.5 - Prob. 31PPSCh. 7.5 - Prob. 32PPSCh. 7.5 - Prob. 33PPSCh. 7.5 - Prob. 34PPSCh. 7.5 - Prob. 35PPSCh. 7.5 - Prob. 46SRCh. 7.5 - Prob. 47SRCh. 7.5 - Prob. 48SRCh. 7.5 - Prob. 49SRCh. 7.5 - Prob. 50SRCh. 7.5 - Prob. 51SRCh. 7.5 - Prob. 52SRCh. 7.5 - Prob. 53SRCh. 7.5 - Prob. 54SRCh. 7.5 - Prob. 55SRCh. 7.5 - Prob. 56SRCh. 7.5 - Prob. 57SRCh. 7.5 - Prob. 58SRCh. 7.5 - Prob. 59SRCh. 7.5 - Prob. 60SRCh. 7.5 - Prob. 61SRCh. 7.5 - Prob. 62SCh. 7.5 - Prob. 63SCh. 7.5 - Prob. 64SCh. 7.5 - Prob. 65SCh. 7.5 - Prob. 66SCh. 7.5 - Prob. 67SCh. 7.5 - Prob. 68SCh. 7.5 - Prob. 69SCh. 7.5 - Prob. 42STPCh. 7.5 - Prob. 43STPCh. 7.5 - Prob. 44STPCh. 7.5 - Prob. 45STPCh. 7.6 - Prob. 11CYUCh. 7.6 - Prob. 30PPSCh. 7.6 - Prob. 41PPSCh. 7.6 - 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Prob. 60SRCh. 7.7 - Prob. 61SRCh. 7.7 - Prob. 62SRCh. 7.7 - Prob. 63SCh. 7.7 - Prob. 64SCh. 7.7 - Prob. 65SCh. 7.7 - Prob. 66SCh. 7.8 - Prob. 7CYUCh. 7.8 - Prob. 21PPSCh. 7.8 - Prob. 55PPSCh. 7.8 - Prob. 56PPSCh. 7.8 - Prob. 57HPCh. 7.8 - Prob. 58HPCh. 7.8 - Prob. 59HPCh. 7.8 - Prob. 60HPCh. 7.8 - Prob. 61HPCh. 7.8 - Prob. 1ACYPCh. 7.8 - Prob. 1BCYPCh. 7.8 - Prob. 2ACYPCh. 7.8 - Prob. 2BCYPCh. 7.8 - Prob. 3ACYPCh. 7.8 - Prob. 3BCYPCh. 7.8 - Prob. 4ACYPCh. 7.8 - Prob. 4BCYPCh. 7.8 - Prob. 1CYUCh. 7.8 - Prob. 2CYUCh. 7.8 - Prob. 3CYUCh. 7.8 - Prob. 4CYUCh. 7.8 - Prob. 5CYUCh. 7.8 - Prob. 6CYUCh. 7.8 - Prob. 8CYUCh. 7.8 - Prob. 9CYUCh. 7.8 - Prob. 10CYUCh. 7.8 - Prob. 11CYUCh. 7.8 - Prob. 12PPSCh. 7.8 - Prob. 13PPSCh. 7.8 - Prob. 14PPSCh. 7.8 - Prob. 15PPSCh. 7.8 - Prob. 16PPSCh. 7.8 - Prob. 17PPSCh. 7.8 - Prob. 18PPSCh. 7.8 - Prob. 19PPSCh. 7.8 - Prob. 20PPSCh. 7.8 - Prob. 22PPSCh. 7.8 - Prob. 23PPSCh. 7.8 - Prob. 24PPSCh. 7.8 - Prob. 25PPSCh. 7.8 - Prob. 26PPSCh. 7.8 - Prob. 27PPSCh. 7.8 - Prob. 28PPSCh. 7.8 - Prob. 29PPSCh. 7.8 - Prob. 30PPSCh. 7.8 - Prob. 31PPSCh. 7.8 - Prob. 32PPSCh. 7.8 - Prob. 33PPSCh. 7.8 - Prob. 34PPSCh. 7.8 - Prob. 35PPSCh. 7.8 - Prob. 36PPSCh. 7.8 - Prob. 37PPSCh. 7.8 - Prob. 38PPSCh. 7.8 - Prob. 39PPSCh. 7.8 - Prob. 40PPSCh. 7.8 - Prob. 41PPSCh. 7.8 - Prob. 42PPSCh. 7.8 - Prob. 43PPSCh. 7.8 - Prob. 44PPSCh. 7.8 - Prob. 45PPSCh. 7.8 - Prob. 46PPSCh. 7.8 - Prob. 47PPSCh. 7.8 - Prob. 48PPSCh. 7.8 - Prob. 49PPSCh. 7.8 - Prob. 50PPSCh. 7.8 - Prob. 51PPSCh. 7.8 - Prob. 52PPSCh. 7.8 - Prob. 53PPSCh. 7.8 - Prob. 54PPSCh. 7.8 - Prob. 62STPCh. 7.8 - Prob. 63STPCh. 7.8 - Prob. 64STPCh. 7.8 - Prob. 65STPCh. 7.8 - Prob. 66SRCh. 7.8 - Prob. 67SRCh. 7.8 - Prob. 68SRCh. 7.8 - Prob. 69SRCh. 7.8 - Prob. 70SRCh. 7.8 - Prob. 71SRCh. 7.8 - Prob. 72SRCh. 7.8 - Prob. 73SRCh. 7.8 - Prob. 74SRCh. 7.8 - Prob. 75SRCh. 7.8 - Prob. 76SRCh. 7.8 - Prob. 77SRCh. 7.8 - Prob. 78SRCh. 7.8 - Prob. 79SRCh. 7.8 - Prob. 80SRCh. 7.8 - Prob. 81SRCh. 7.8 - Prob. 82SRCh. 7.8 - Prob. 83SRCh. 7.8 - Prob. 84SRCh. 7.8 - Prob. 85SRCh. 7.8 - Prob. 86SCh. 7.8 - Prob. 87SCh. 7.8 - Prob. 88SCh. 7.8 - Prob. 89SCh. 7 - Prob. 29MCQCh. 7 - Prob. 22PTCh. 7 - Prob. 25PTCh. 7 - Prob. 1STPCh. 7 - Prob. 2STPCh. 7 - Prob. 3STPCh. 7 - Prob. 4STPCh. 7 - Prob. 5STPCh. 7 - Prob. 6STPCh. 7 - Prob. 7STPCh. 7 - Prob. 8STPCh. 7 - Prob. 9STPCh. 7 - Prob. 10STPCh. 7 - Prob. 11STPCh. 7 - Prob. 20MCQCh. 7 - Prob. 21MCQCh. 7 - Prob. 22MCQCh. 7 - Prob. 23MCQCh. 7 - Prob. 24MCQCh. 7 - Prob. 25MCQCh. 7 - Prob. 26MCQCh. 7 - Prob. 27MCQCh. 7 - Prob. 28MCQCh. 7 - Prob. 1SGRCh. 7 - Prob. 2SGRCh. 7 - Prob. 3SGRCh. 7 - Prob. 4SGRCh. 7 - Prob. 5SGRCh. 7 - Prob. 6SGRCh. 7 - Prob. 7SGRCh. 7 - Prob. 8SGRCh. 7 - Prob. 9SGRCh. 7 - Prob. 10SGRCh. 7 - Prob. 12SGRCh. 7 - Prob. 20SGRCh. 7 - Prob. 21SGRCh. 7 - Prob. 22SGRCh. 7 - Prob. 23SGRCh. 7 - Prob. 24SGRCh. 7 - Prob. 25SGRCh. 7 - Prob. 26SGRCh. 7 - Prob. 27SGRCh. 7 - Prob. 28SGRCh. 7 - Prob. 29SGRCh. 7 - Prob. 30SGRCh. 7 - Prob. 31SGRCh. 7 - Prob. 32SGRCh. 7 - Prob. 33SGRCh. 7 - Prob. 34SGRCh. 7 - Prob. 35SGRCh. 7 - Prob. 36SGRCh. 7 - Prob. 37SGRCh. 7 - Prob. 38SGRCh. 7 - Prob. 39SGRCh. 7 - Prob. 40SGRCh. 7 - Prob. 41SGRCh. 7 - Prob. 42SGRCh. 7 - Prob. 43SGRCh. 7 - Prob. 44SGRCh. 7 - Prob. 45SGRCh. 7 - Prob. 46SGRCh. 7 - Prob. 47SGRCh. 7 - Prob. 48SGRCh. 7 - Prob. 49SGRCh. 7 - Prob. 50SGRCh. 7 - Prob. 51SGRCh. 7 - Prob. 52SGRCh. 7 - Prob. 53SGRCh. 7 - Prob. 54SGRCh. 7 - Prob. 55SGRCh. 7 - Prob. 56SGRCh. 7 - Prob. 57SGRCh. 7 - Prob. 58SGRCh. 7 - Prob. 20PTCh. 7 - Prob. 21PTCh. 7 - Prob. 23PTCh. 7 - Prob. 24PTCh. 7 - Prob. 1QCCh. 7 - Prob. 2QCCh. 7 - Prob. 3QCCh. 7 - Prob. 4QCCh. 7 - Prob. 5QCCh. 7 - Prob. 6QCCh. 7 - Prob. 7QCCh. 7 - Prob. 8QCCh. 7 - Prob. 9QCCh. 7 - Prob. 10QCCh. 7 - Prob. 11QCCh. 7 - Prob. 12QCCh. 7 - Prob. 13QCCh. 7 - Prob. 14QCCh. 7 - Prob. 15QCCh. 7 - Prob. 16QCCh. 7 - Prob. 17QCCh. 7 - Prob. 18QCCh. 7 - Prob. 1MCQCh. 7 - Prob. 2MCQCh. 7 - Prob. 3MCQCh. 7 - Prob. 4MCQCh. 7 - Prob. 5MCQCh. 7 - Prob. 6MCQCh. 7 - Prob. 7MCQCh. 7 - Prob. 8MCQCh. 7 - Prob. 9MCQCh. 7 - Prob. 11MCQCh. 7 - Prob. 12MCQCh. 7 - Prob. 13MCQCh. 7 - Prob. 14MCQCh. 7 - Prob. 15MCQCh. 7 - Prob. 16MCQCh. 7 - Prob. 17MCQCh. 7 - Prob. 18MCQCh. 7 - Prob. 19MCQCh. 7 - Prob. 11SGRCh. 7 - Prob. 13SGRCh. 7 - Prob. 14SGRCh. 7 - Prob. 15SGRCh. 7 - Prob. 16SGRCh. 7 - Prob. 17SGRCh. 7 - Prob. 18SGRCh. 7 - Prob. 19SGRCh. 7 - Prob. 1PTCh. 7 - Prob. 2PTCh. 7 - Prob. 3PTCh. 7 - Prob. 4PTCh. 7 - Prob. 5PTCh. 7 - Prob. 6PTCh. 7 - Prob. 7PTCh. 7 - Prob. 8PTCh. 7 - Prob. 9PTCh. 7 - Prob. 10PTCh. 7 - Prob. 11PTCh. 7 - Prob. 12PTCh. 7 - Prob. 13PTCh. 7 - Prob. 14PTCh. 7 - Prob. 15PTCh. 7 - Prob. 16PTCh. 7 - Prob. 17PTCh. 7 - Prob. 18PTCh. 7 - Prob. 19PTCh. 7 - Prob. 10MCQ

Additional Math Textbook Solutions

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Solve a2+4a+9=30 by completing the square.

Elementary Algebra

Fill in each blanks so that the resulting statement is true. Any set of ordered pairs is called a/an _______. T...

College Algebra

Find an equation involving g, h, and k that makes this augmented matrix correspond to a consistent system: [147...

Linear Algebra and Its Applications (5th Edition)

Is x=1a solution to the equation 8x2=166x?How do you know?

PREALGEBRA

For the following exercises, find the real solutions of each equation by factoring. (x+5)23(x+5)4=0

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Fill in each blanks so that the resulting statement is true. Any set of ordered pairs is called a/an _______. T...

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