Algebra 2
Algebra 2
1st Edition
ISBN: 9780078884825
Author: McGraw-Hill/Glencoe
Publisher: Glencoe/McGraw-Hill School Pub Co
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Question
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Chapter 14, Problem 36SGR

a.

To determine

To find: the length of the diagonal.

a.

Expert Solution
Check Mark

Answer to Problem 36SGR

Diagonal AC127.28feet.

Explanation of Solution

Given information: The infield of a baseball diamond is a square with side length

90 feet.

Calculation:

Given the data:

AB=BC= 90 feet.

  Algebra 2, Chapter 14, Problem 36SGR , additional homework tip  1

Find the length of the diagonal using the Pythagorean Theorem:

  AC2=AB2+BC2=AB2+AB2=2AB2AC=2AB2=2×902=902127.28.AC127.28feet.

Therefore, diagonal AC127.28feet.

b.

To determine

To write: the ratio for sin45 using the lengths of the baseball diamond.

b.

Expert Solution
Check Mark

Answer to Problem 36SGR

  sin45=22.

Explanation of Solution

Given information: The infield of a baseball diamond is a square with side length

90 feet.

Calculation:

Given the data:

AB=BC= 90 feet.

  Algebra 2, Chapter 14, Problem 36SGR , additional homework tip  2

Find the length of the diagonal using the Pythagorean Theorem:

  AC2=AB2+BC2=AB2+AB2=2AB2AC=2AB2=2×902=902.CAB=ACB=45.sin45=ABAC=90902=12=22.sin45=22.

Therefore, sin45=22.

c.

To determine

To verify: the ratio wrote in part (b) using the formula sinθ2=±1cosθ2 .

c.

Expert Solution
Check Mark

Answer to Problem 36SGR

Explanation of Solution

Given information: The infield of a baseball diamond is a square with side length

90 feet.

Calculation:

Compute sin45 , using the half −angle formula sinθ2=±1cosθ2 .

  θ=90sin45=sin902=±1cos902=±102=±12=±22sin45=22.(BecausetheangleisinQuadrantI,thesineispositive)

Got the same result as in part (b).

Hence verified.

Chapter 14 Solutions

Algebra 2

Ch. 14.1 - Prob. 6CYUCh. 14.1 - Prob. 7CYUCh. 14.1 - Prob. 8CYUCh. 14.1 - Prob. 9PPSCh. 14.1 - Prob. 10PPSCh. 14.1 - Prob. 11PPSCh. 14.1 - Prob. 12PPSCh. 14.1 - Prob. 13PPSCh. 14.1 - Prob. 14PPSCh. 14.1 - Prob. 15PPSCh. 14.1 - Prob. 16PPSCh. 14.1 - Prob. 17PPSCh. 14.1 - Prob. 18PPSCh. 14.1 - Prob. 19PPSCh. 14.1 - Prob. 20PPSCh. 14.1 - Prob. 21PPSCh. 14.1 - Prob. 22PPSCh. 14.1 - Prob. 23PPSCh. 14.1 - Prob. 24PPSCh. 14.1 - Prob. 25PPSCh. 14.1 - Prob. 26PPSCh. 14.1 - Prob. 27PPSCh. 14.1 - Prob. 28PPSCh. 14.1 - Prob. 29PPSCh. 14.1 - Prob. 30PPSCh. 14.1 - Prob. 31PPSCh. 14.1 - Prob. 32PPSCh. 14.1 - Prob. 33PPSCh. 14.1 - Prob. 34PPSCh. 14.1 - Prob. 35PPSCh. 14.1 - Prob. 36PPSCh. 14.1 - Prob. 37PPSCh. 14.1 - Prob. 38PPSCh. 14.1 - Prob. 39PPSCh. 14.1 - Prob. 40PPSCh. 14.1 - Prob. 41PPSCh. 14.1 - Prob. 42HPCh. 14.1 - Prob. 43HPCh. 14.1 - Prob. 44HPCh. 14.1 - Prob. 45HPCh. 14.1 - Prob. 46HPCh. 14.1 - Prob. 47HPCh. 14.1 - Prob. 48HPCh. 14.1 - Prob. 49HPCh. 14.1 - Prob. 50HPCh. 14.1 - Prob. 51STPCh. 14.1 - Prob. 52STPCh. 14.1 - Prob. 53STPCh. 14.1 - Prob. 54STPCh. 14.1 - Prob. 55SRCh. 14.1 - Prob. 56SRCh. 14.1 - Prob. 57SRCh. 14.1 - Prob. 58SRCh. 14.1 - Prob. 59SRCh. 14.1 - Prob. 60SRCh. 14.1 - Prob. 61SRCh. 14.1 - Prob. 62SRCh. 14.1 - Prob. 63SRCh. 14.1 - Prob. 64SRCh. 14.1 - Prob. 65SCh. 14.1 - Prob. 66SCh. 14.1 - Prob. 67SCh. 14.2 - Prob. 1CYPCh. 14.2 - Prob. 2CYPCh. 14.2 - Prob. 3CYPCh. 14.2 - Prob. 1CYUCh. 14.2 - Prob. 2CYUCh. 14.2 - Prob. 3CYUCh. 14.2 - Prob. 4CYUCh. 14.2 - Prob. 5CYUCh. 14.2 - Prob. 6CYUCh. 14.2 - Prob. 7CYUCh. 14.2 - Prob. 8PPSCh. 14.2 - Prob. 9PPSCh. 14.2 - Prob. 10PPSCh. 14.2 - Prob. 11PPSCh. 14.2 - Prob. 12PPSCh. 14.2 - Prob. 13PPSCh. 14.2 - Prob. 14PPSCh. 14.2 - Prob. 15PPSCh. 14.2 - Prob. 16PPSCh. 14.2 - Prob. 17PPSCh. 14.2 - Prob. 18PPSCh. 14.2 - Prob. 19PPSCh. 14.2 - Prob. 20PPSCh. 14.2 - Prob. 21PPSCh. 14.2 - Prob. 22PPSCh. 14.2 - Prob. 23PPSCh. 14.2 - Prob. 24PPSCh. 14.2 - Prob. 25PPSCh. 14.2 - Prob. 26PPSCh. 14.2 - Prob. 27PPSCh. 14.2 - Prob. 28PPSCh. 14.2 - 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Prob. 1BCYPCh. 14.3 - Prob. 2CYPCh. 14.3 - Prob. 3ACYPCh. 14.3 - Prob. 3BCYPCh. 14.3 - Prob. 1CYUCh. 14.3 - Prob. 2CYUCh. 14.3 - Prob. 3CYUCh. 14.3 - Prob. 4CYUCh. 14.3 - Prob. 5CYUCh. 14.3 - Prob. 6CYUCh. 14.3 - Prob. 7CYUCh. 14.3 - Prob. 8CYUCh. 14.3 - Prob. 9CYUCh. 14.3 - Prob. 10CYUCh. 14.3 - Prob. 11CYUCh. 14.3 - Prob. 12PPSCh. 14.3 - Prob. 13PPSCh. 14.3 - Prob. 14PPSCh. 14.3 - Prob. 15PPSCh. 14.3 - Prob. 16PPSCh. 14.3 - Prob. 17PPSCh. 14.3 - Prob. 18PPSCh. 14.3 - Prob. 19PPSCh. 14.3 - Prob. 20PPSCh. 14.3 - Prob. 21PPSCh. 14.3 - Prob. 22PPSCh. 14.3 - Prob. 23PPSCh. 14.3 - Prob. 24PPSCh. 14.3 - Prob. 25PPSCh. 14.3 - Prob. 26PPSCh. 14.3 - Prob. 27PPSCh. 14.3 - Prob. 28PPSCh. 14.3 - Prob. 29PPSCh. 14.3 - Prob. 30PPSCh. 14.3 - Prob. 31PPSCh. 14.3 - Prob. 32PPSCh. 14.3 - Prob. 33PPSCh. 14.3 - Prob. 34PPSCh. 14.3 - Prob. 35PPSCh. 14.3 - Prob. 36PPSCh. 14.3 - Prob. 37PPSCh. 14.3 - Prob. 38HPCh. 14.3 - Prob. 39HPCh. 14.3 - Prob. 40HPCh. 14.3 - Prob. 41HPCh. 14.3 - Prob. 42HPCh. 14.3 - Prob. 43STPCh. 14.3 - Prob. 44STPCh. 14.3 - Prob. 45STPCh. 14.3 - Prob. 46STPCh. 14.3 - Prob. 47SRCh. 14.3 - Prob. 48SRCh. 14.3 - Prob. 49SRCh. 14.3 - Prob. 50SRCh. 14.3 - Prob. 51SRCh. 14.3 - Prob. 52SRCh. 14.3 - Prob. 53SRCh. 14.3 - Prob. 54SRCh. 14.3 - Prob. 55SCh. 14.3 - Prob. 56SCh. 14.3 - Prob. 57SCh. 14.4 - Prob. 1CYPCh. 14.4 - Prob. 2ACYPCh. 14.4 - Prob. 2BCYPCh. 14.4 - Prob. 3CYPCh. 14.4 - Prob. 4ACYPCh. 14.4 - Prob. 4BCYPCh. 14.4 - Prob. 5CYPCh. 14.4 - Prob. 1CYUCh. 14.4 - Prob. 2CYUCh. 14.4 - Prob. 3CYUCh. 14.4 - Prob. 4CYUCh. 14.4 - Prob. 5CYUCh. 14.4 - Prob. 6CYUCh. 14.4 - Prob. 7CYUCh. 14.4 - Prob. 8CYUCh. 14.4 - Prob. 9CYUCh. 14.4 - Prob. 10CYUCh. 14.4 - Prob. 11CYUCh. 14.4 - Prob. 12PPSCh. 14.4 - Prob. 13PPSCh. 14.4 - Prob. 14PPSCh. 14.4 - Prob. 15PPSCh. 14.4 - Prob. 16PPSCh. 14.4 - Prob. 17PPSCh. 14.4 - Prob. 18PPSCh. 14.4 - Prob. 19PPSCh. 14.4 - Prob. 20PPSCh. 14.4 - Prob. 21PPSCh. 14.4 - Prob. 22PPSCh. 14.4 - Prob. 23PPSCh. 14.4 - Prob. 24PPSCh. 14.4 - Prob. 25PPSCh. 14.4 - Prob. 26PPSCh. 14.4 - 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Prob. 1CYUCh. 14.5 - Prob. 2CYUCh. 14.5 - Prob. 3CYUCh. 14.5 - Prob. 4CYUCh. 14.5 - Prob. 5CYUCh. 14.5 - Prob. 6CYUCh. 14.5 - Prob. 7CYUCh. 14.5 - Prob. 8CYUCh. 14.5 - Prob. 9CYUCh. 14.5 - Prob. 10CYUCh. 14.5 - Prob. 11CYUCh. 14.5 - Prob. 12CYUCh. 14.5 - Prob. 13CYUCh. 14.5 - Prob. 14CYUCh. 14.5 - Prob. 15CYUCh. 14.5 - Prob. 16CYUCh. 14.5 - Prob. 17CYUCh. 14.5 - Prob. 18CYUCh. 14.5 - Prob. 19CYUCh. 14.5 - Prob. 20CYUCh. 14.5 - Prob. 21CYUCh. 14.5 - Prob. 22CYUCh. 14.5 - Prob. 23CYUCh. 14.5 - Prob. 24CYUCh. 14.5 - Prob. 25CYUCh. 14.5 - Prob. 26CYUCh. 14.5 - Prob. 27CYUCh. 14.5 - Prob. 28CYUCh. 14.5 - Prob. 29CYUCh. 14.5 - Prob. 30PPSCh. 14.5 - Prob. 31PPSCh. 14.5 - Prob. 32PPSCh. 14.5 - Prob. 33PPSCh. 14.5 - Prob. 34PPSCh. 14.5 - Prob. 35PPSCh. 14.5 - Prob. 36PPSCh. 14.5 - Prob. 37PPSCh. 14.5 - Prob. 38PPSCh. 14.5 - Prob. 39PPSCh. 14.5 - Prob. 40PPSCh. 14.5 - Prob. 41PPSCh. 14.5 - Prob. 42PPSCh. 14.5 - Prob. 43PPSCh. 14.5 - Prob. 44PPSCh. 14.5 - Prob. 45PPSCh. 14.5 - Prob. 46PPSCh. 14.5 - Prob. 47PPSCh. 14.5 - Prob. 48PPSCh. 14.5 - Prob. 49PPSCh. 14.5 - Prob. 50PPSCh. 14.5 - Prob. 51PPSCh. 14.5 - Prob. 52PPSCh. 14.5 - Prob. 53PPSCh. 14.5 - Prob. 54PPSCh. 14.5 - Prob. 55PPSCh. 14.5 - Prob. 56PPSCh. 14.5 - Prob. 57PPSCh. 14.5 - Prob. 58HPCh. 14.5 - Prob. 59HPCh. 14.5 - Prob. 60HPCh. 14.5 - Prob. 61HPCh. 14.5 - Prob. 62HPCh. 14.5 - Prob. 63HPCh. 14.5 - Prob. 64STPCh. 14.5 - Prob. 65STPCh. 14.5 - Prob. 66STPCh. 14.5 - Prob. 67STPCh. 14.5 - Prob. 68SRCh. 14.5 - Prob. 69SRCh. 14.5 - Prob. 70SRCh. 14.5 - Prob. 71SRCh. 14.5 - Prob. 72SRCh. 14.5 - Prob. 73SRCh. 14.5 - Prob. 74SRCh. 14.5 - Prob. 75SRCh. 14.5 - Prob. 76SRCh. 14.5 - Prob. 77SRCh. 14.5 - Prob. 78SRCh. 14.5 - Prob. 79SRCh. 14.5 - Prob. 80SRCh. 14.5 - Prob. 81SRCh. 14.5 - Prob. 82SRCh. 14.5 - Prob. 83SRCh. 14 - Prob. 1QCCh. 14 - Prob. 2QCCh. 14 - Prob. 3QCCh. 14 - Prob. 4QCCh. 14 - Prob. 5QCCh. 14 - Prob. 6QCCh. 14 - Prob. 7QCCh. 14 - Prob. 8QCCh. 14 - Prob. 9QCCh. 14 - Prob. 10QCCh. 14 - Prob. 11QCCh. 14 - Prob. 12QCCh. 14 - Prob. 13QCCh. 14 - Prob. 14QCCh. 14 - Prob. 15QCCh. 14 - Prob. 1MCQCh. 14 - Prob. 2MCQCh. 14 - Prob. 3MCQCh. 14 - Prob. 4MCQCh. 14 - Prob. 5MCQCh. 14 - Prob. 6MCQCh. 14 - Prob. 7MCQCh. 14 - Prob. 8MCQCh. 14 - Prob. 9MCQCh. 14 - Prob. 10MCQCh. 14 - Prob. 11MCQCh. 14 - Prob. 12MCQCh. 14 - Prob. 13MCQCh. 14 - Prob. 14MCQCh. 14 - Prob. 15MCQCh. 14 - Prob. 16MCQCh. 14 - Prob. 17MCQCh. 14 - Prob. 18MCQCh. 14 - Prob. 19MCQCh. 14 - Prob. 20MCQCh. 14 - Prob. 21MCQCh. 14 - Prob. 22MCQCh. 14 - Prob. 23MCQCh. 14 - Prob. 24MCQCh. 14 - Prob. 25MCQCh. 14 - Prob. 1SGRCh. 14 - Prob. 2SGRCh. 14 - Prob. 3SGRCh. 14 - Prob. 4SGRCh. 14 - Prob. 5SGRCh. 14 - Prob. 6SGRCh. 14 - Prob. 7SGRCh. 14 - Prob. 8SGRCh. 14 - Prob. 9SGRCh. 14 - Prob. 10SGRCh. 14 - Prob. 11SGRCh. 14 - Prob. 12SGRCh. 14 - Prob. 13SGRCh. 14 - Prob. 14SGRCh. 14 - Prob. 15SGRCh. 14 - Prob. 16SGRCh. 14 - Prob. 17SGRCh. 14 - Prob. 18SGRCh. 14 - Prob. 19SGRCh. 14 - Prob. 20SGRCh. 14 - Prob. 21SGRCh. 14 - Prob. 22SGRCh. 14 - Prob. 23SGRCh. 14 - Prob. 24SGRCh. 14 - 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