Pre-Algebra, Student Edition
Pre-Algebra, Student Edition
1st Edition
ISBN: 9780078885150
Author: McGraw-Hill
Publisher: Glencoe/McGraw-Hill
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Ratios
A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.
Trigonometric Ratios
Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.
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Chapter 10.6, Problem 23HP
To determine

To check and validate: the measures of longer leg and hypotenuse

Expert Solution & Answer
Check Mark

Answer to Problem 23HP

The hypotenuse is 4cm & longer leg is 3.5

Explanation of Solution

Calculation:

The objective of the question is to check and validate the measures of longer leg and hypotenuse of a 30°-60°-90° triangle when the shorter leg is given.

Pre-Algebra, Student Edition, Chapter 10.6, Problem 23HP

In a right angled triangle with angle measures of 30°, 60° & 90° and smaller leg equal to a ,The longer leg is given by a3 and the hypotenuse will be given by the term 2a.

Draw a 30°-60°-90° triangle of smaller leg of any assumed value (say 2 cm).

The hypotenuse will be given by 4cm(=2a.) & longer leg will be given by 3.5(=a3)

Check the values of hypotenuse and longer leg by physically measuring them.

Validate the result with their value calculated as per formula.

Corresponding values will be equal.

Conclusion:

Therefore, the hypotenuse is 4cm & longer leg is 3.5

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Chapter 10.6, Problem 22PPS
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Chapter 10.6, Problem 24HP

Chapter 10 Solutions

Pre-Algebra, Student Edition

Ch. 10.1 - Prob. 1ACYPCh. 10.1 - Prob. 1BCYPCh. 10.1 - Prob. 1CCYPCh. 10.1 - Prob. 1DCYPCh. 10.1 - Prob. 2ACYPCh. 10.1 - Prob. 2BCYPCh. 10.1 - Prob. 3ACYPCh. 10.1 - Prob. 3BCYPCh. 10.1 - Prob. 4ACYPCh. 10.1 - Prob. 4BCYP
Ch. 10.1 - Prob. 4CCYPCh. 10.1 - Prob. 4DCYPCh. 10.1 - Prob. 5CYPCh. 10.1 - Prob. 1CYUCh. 10.1 - Prob. 2CYUCh. 10.1 - Prob. 3CYUCh. 10.1 - Prob. 4CYUCh. 10.1 - Prob. 5CYUCh. 10.1 - Prob. 6CYUCh. 10.1 - Prob. 7CYUCh. 10.1 - Prob. 8CYUCh. 10.1 - Prob. 9CYUCh. 10.1 - Prob. 10CYUCh. 10.1 - Prob. 11PPSCh. 10.1 - Prob. 12PPSCh. 10.1 - Prob. 13PPSCh. 10.1 - Prob. 14PPSCh. 10.1 - Prob. 15PPSCh. 10.1 - Prob. 16PPSCh. 10.1 - Prob. 17PPSCh. 10.1 - Prob. 18PPSCh. 10.1 - Prob. 19PPSCh. 10.1 - Prob. 20PPSCh. 10.1 - Prob. 21PPSCh. 10.1 - Prob. 22PPSCh. 10.1 - Prob. 23PPSCh. 10.1 - Prob. 24PPSCh. 10.1 - Prob. 25PPSCh. 10.1 - Prob. 26PPSCh. 10.1 - Prob. 27PPSCh. 10.1 - Prob. 28PPSCh. 10.1 - Prob. 29PPSCh. 10.1 - Prob. 30PPSCh. 10.1 - Prob. 31PPSCh. 10.1 - Prob. 32PPSCh. 10.1 - Prob. 33PPSCh. 10.1 - Prob. 34PPSCh. 10.1 - Prob. 35PPSCh. 10.1 - Prob. 36PPSCh. 10.1 - Prob. 37PPSCh. 10.1 - Prob. 38PPSCh. 10.1 - Prob. 39PPSCh. 10.1 - Prob. 40HPCh. 10.1 - Prob. 41HPCh. 10.1 - Prob. 42HPCh. 10.1 - Prob. 43HPCh. 10.1 - Prob. 44STPCh. 10.1 - Prob. 45STPCh. 10.1 - Prob. 46STPCh. 10.1 - Prob. 47STPCh. 10.1 - Prob. 48SRCh. 10.1 - Prob. 49SRCh. 10.1 - Prob. 50SRCh. 10.1 - Prob. 51SRCh. 10.1 - Prob. 52SRCh. 10.1 - Prob. 53SRCh. 10.1 - Prob. 54SRCh. 10.1 - Prob. 55SCh. 10.1 - Prob. 56SCh. 10.1 - Prob. 57SCh. 10.1 - Prob. 58SCh. 10.1 - Prob. 59SCh. 10.1 - Prob. 60SCh. 10.1 - Prob. 61SCh. 10.1 - Prob. 62SCh. 10.2 - Prob. 1ACYPCh. 10.2 - Prob. 1BCYPCh. 10.2 - Prob. 1CCYPCh. 10.2 - Prob. 1DCYPCh. 10.2 - Prob. 2CYPCh. 10.2 - Prob. 3CYPCh. 10.2 - Prob. 4ACYPCh. 10.2 - Prob. 4BCYPCh. 10.2 - Prob. 5CYPCh. 10.2 - Prob. 1CYUCh. 10.2 - Prob. 2CYUCh. 10.2 - Prob. 3CYUCh. 10.2 - Prob. 4CYUCh. 10.2 - Prob. 5CYUCh. 10.2 - Prob. 6CYUCh. 10.2 - Prob. 7CYUCh. 10.2 - Prob. 8CYUCh. 10.2 - Prob. 9CYUCh. 10.2 - Prob. 10CYUCh. 10.2 - Prob. 11CYUCh. 10.2 - Prob. 12CYUCh. 10.2 - Prob. 13CYUCh. 10.2 - Prob. 14PPSCh. 10.2 - Prob. 15PPSCh. 10.2 - Prob. 16PPSCh. 10.2 - Prob. 17PPSCh. 10.2 - Prob. 18PPSCh. 10.2 - Prob. 19PPSCh. 10.2 - Prob. 20PPSCh. 10.2 - 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Prob. 67SRCh. 10.2 - Prob. 68SRCh. 10.2 - Prob. 69SRCh. 10.2 - Prob. 70SRCh. 10.2 - Prob. 71SRCh. 10.2 - Prob. 72SRCh. 10.2 - Prob. 73SRCh. 10.2 - Prob. 74SRCh. 10.2 - Prob. 75SCh. 10.2 - Prob. 76SCh. 10.2 - Prob. 77SCh. 10.2 - Prob. 78SCh. 10.2 - Prob. 79SCh. 10.2 - Prob. 80SCh. 10.3 - Prob. 1CYPCh. 10.3 - Prob. 2CYPCh. 10.3 - Prob. 3CYPCh. 10.3 - Prob. 4ACYPCh. 10.3 - Prob. 4BCYPCh. 10.3 - Prob. 1CYUCh. 10.3 - Prob. 2CYUCh. 10.3 - Prob. 3CYUCh. 10.3 - Prob. 4CYUCh. 10.3 - Prob. 5CYUCh. 10.3 - Prob. 6PPSCh. 10.3 - Prob. 7PPSCh. 10.3 - Prob. 8PPSCh. 10.3 - Prob. 9PPSCh. 10.3 - Prob. 10PPSCh. 10.3 - Prob. 11PPSCh. 10.3 - Prob. 12PPSCh. 10.3 - Prob. 13PPSCh. 10.3 - Prob. 14PPSCh. 10.3 - Prob. 15PPSCh. 10.3 - Prob. 16PPSCh. 10.3 - Prob. 17PPSCh. 10.3 - Prob. 18PPSCh. 10.3 - Prob. 19PPSCh. 10.3 - Prob. 20PPSCh. 10.3 - Prob. 21PPSCh. 10.3 - Prob. 22PPSCh. 10.3 - Prob. 23PPSCh. 10.3 - Prob. 24PPSCh. 10.3 - Prob. 25PPSCh. 10.3 - Prob. 26PPSCh. 10.3 - Prob. 27PPSCh. 10.3 - Prob. 28PPSCh. 10.3 - Prob. 29PPSCh. 10.3 - Prob. 30PPSCh. 10.3 - Prob. 31PPSCh. 10.3 - Prob. 32PPSCh. 10.3 - Prob. 33PPSCh. 10.3 - Prob. 34PPSCh. 10.3 - Prob. 35HPCh. 10.3 - Prob. 36HPCh. 10.3 - Prob. 37HPCh. 10.3 - Prob. 38HPCh. 10.3 - Prob. 39HPCh. 10.3 - Prob. 40STPCh. 10.3 - Prob. 41STPCh. 10.3 - Prob. 42STPCh. 10.3 - Prob. 43STPCh. 10.3 - Prob. 44SRCh. 10.3 - Prob. 45SRCh. 10.3 - Prob. 46SRCh. 10.3 - Prob. 47SRCh. 10.3 - Prob. 48SRCh. 10.3 - Prob. 49SRCh. 10.3 - Prob. 50SRCh. 10.3 - Prob. 51SRCh. 10.3 - Prob. 52SRCh. 10.3 - Prob. 53SCh. 10.3 - Prob. 54SCh. 10.3 - Prob. 55SCh. 10.3 - Prob. 56SCh. 10.4 - Prob. 1CYPCh. 10.4 - Prob. 2CYPCh. 10.4 - Prob. 3CYPCh. 10.4 - Prob. 4ACYPCh. 10.4 - Prob. 4BCYPCh. 10.4 - Prob. 1CYUCh. 10.4 - Prob. 2CYUCh. 10.4 - Prob. 3CYUCh. 10.4 - Prob. 4CYUCh. 10.4 - Prob. 5CYUCh. 10.4 - Prob. 6CYUCh. 10.4 - Prob. 7CYUCh. 10.4 - Prob. 8CYUCh. 10.4 - Prob. 9PPSCh. 10.4 - Prob. 10PPSCh. 10.4 - Prob. 11PPSCh. 10.4 - Prob. 12PPSCh. 10.4 - Prob. 13PPSCh. 10.4 - Prob. 14PPSCh. 10.4 - Prob. 15PPSCh. 10.4 - Prob. 16PPSCh. 10.4 - Prob. 17PPSCh. 10.4 - Prob. 18PPSCh. 10.4 - Prob. 19PPSCh. 10.4 - Prob. 20PPSCh. 10.4 - Prob. 21PPSCh. 10.4 - Prob. 22PPSCh. 10.4 - Prob. 23PPSCh. 10.4 - Prob. 24PPSCh. 10.4 - Prob. 25PPSCh. 10.4 - Prob. 26PPSCh. 10.4 - Prob. 27PPSCh. 10.4 - Prob. 28PPSCh. 10.4 - Prob. 29PPSCh. 10.4 - Prob. 30PPSCh. 10.4 - Prob. 31PPSCh. 10.4 - Prob. 32PPSCh. 10.4 - Prob. 33PPSCh. 10.4 - Prob. 34HPCh. 10.4 - Prob. 35HPCh. 10.4 - Prob. 36HPCh. 10.4 - Prob. 37HPCh. 10.4 - Prob. 38HPCh. 10.4 - Prob. 39STPCh. 10.4 - Prob. 40STPCh. 10.4 - Prob. 41STPCh. 10.4 - Prob. 42STPCh. 10.4 - Prob. 43SRCh. 10.4 - Prob. 44SRCh. 10.4 - Prob. 45SRCh. 10.4 - Prob. 46SRCh. 10.4 - Prob. 47SRCh. 10.4 - Prob. 48SRCh. 10.4 - Prob. 49SRCh. 10.4 - Prob. 50SRCh. 10.4 - Prob. 51SCh. 10.4 - Prob. 52SCh. 10.4 - Prob. 53SCh. 10.5 - Prob. 1CYPCh. 10.5 - Prob. 2CYPCh. 10.5 - Prob. 3CYPCh. 10.5 - Prob. 1CYUCh. 10.5 - Prob. 2CYUCh. 10.5 - Prob. 3CYUCh. 10.5 - Prob. 4CYUCh. 10.5 - Prob. 5CYUCh. 10.5 - Prob. 6PPSCh. 10.5 - Prob. 7PPSCh. 10.5 - Prob. 8PPSCh. 10.5 - Prob. 9PPSCh. 10.5 - Prob. 10PPSCh. 10.5 - Prob. 11PPSCh. 10.5 - Prob. 12PPSCh. 10.5 - Prob. 13PPSCh. 10.5 - Prob. 14PPSCh. 10.5 - Prob. 15PPSCh. 10.5 - Prob. 16PPSCh. 10.5 - Prob. 17PPSCh. 10.5 - Prob. 18PPSCh. 10.5 - Prob. 19PPSCh. 10.5 - Prob. 20PPSCh. 10.5 - Prob. 21PPSCh. 10.5 - Prob. 22PPSCh. 10.5 - Prob. 23PPSCh. 10.5 - Prob. 24PPSCh. 10.5 - Prob. 25PPSCh. 10.5 - Prob. 26PPSCh. 10.5 - Prob. 27HPCh. 10.5 - Prob. 28HPCh. 10.5 - Prob. 29HPCh. 10.5 - Prob. 30HPCh. 10.5 - Prob. 31HPCh. 10.5 - Prob. 32STPCh. 10.5 - Prob. 33STPCh. 10.5 - Prob. 34STPCh. 10.5 - Prob. 35STPCh. 10.5 - Prob. 36SRCh. 10.5 - Prob. 37SRCh. 10.5 - Prob. 38SRCh. 10.5 - Prob. 39SRCh. 10.5 - Prob. 40SCh. 10.5 - Prob. 41SCh. 10.5 - Prob. 42SCh. 10.6 - Prob. 1CYPCh. 10.6 - Prob. 2CYPCh. 10.6 - Prob. 3CYPCh. 10.6 - Prob. 1CYUCh. 10.6 - Prob. 2CYUCh. 10.6 - Prob. 3CYUCh. 10.6 - Prob. 4CYUCh. 10.6 - Prob. 5CYUCh. 10.6 - Prob. 6CYUCh. 10.6 - Prob. 7CYUCh. 10.6 - Prob. 8CYUCh. 10.6 - Prob. 9PPSCh. 10.6 - Prob. 10PPSCh. 10.6 - Prob. 11PPSCh. 10.6 - Prob. 12PPSCh. 10.6 - Prob. 13PPSCh. 10.6 - Prob. 14PPSCh. 10.6 - Prob. 15PPSCh. 10.6 - Prob. 16PPSCh. 10.6 - Prob. 17PPSCh. 10.6 - Prob. 18PPSCh. 10.6 - Prob. 19PPSCh. 10.6 - Prob. 20PPSCh. 10.6 - Prob. 21PPSCh. 10.6 - Prob. 22PPSCh. 10.6 - Prob. 23HPCh. 10.6 - Prob. 24HPCh. 10.6 - Prob. 25HPCh. 10.6 - Prob. 26HPCh. 10.6 - Prob. 27HPCh. 10.6 - Prob. 28STPCh. 10.6 - Prob. 29STPCh. 10.6 - Prob. 30STPCh. 10.6 - Prob. 31STPCh. 10.6 - Prob. 32SRCh. 10.6 - Prob. 33SRCh. 10.6 - Prob. 34SRCh. 10.6 - Prob. 35SRCh. 10.6 - Prob. 36SRCh. 10.6 - Prob. 37SRCh. 10.6 - Prob. 38SRCh. 10.6 - Prob. 39SRCh. 10.6 - Prob. 40SRCh. 10.6 - Prob. 41SCh. 10.6 - Prob. 42SCh. 10.6 - Prob. 43SCh. 10.6 - Prob. 44SCh. 10.6 - Prob. 45SCh. 10.6 - Prob. 46SCh. 10.6 - Prob. 47SCh. 10.6 - Prob. 48SCh. 10 - Prob. 1QCCh. 10 - Prob. 2QCCh. 10 - Prob. 3QCCh. 10 - Prob. 4QCCh. 10 - Prob. 5QCCh. 10 - Prob. 6QCCh. 10 - Prob. 7QCCh. 10 - Prob. 8QCCh. 10 - Prob. 9QCCh. 10 - Prob. 10QCCh. 10 - Prob. 11QCCh. 10 - Prob. 12QCCh. 10 - Prob. 13QCCh. 10 - Prob. 14QCCh. 10 - Prob. 15QCCh. 10 - Prob. 16QCCh. 10 - Prob. 17QCCh. 10 - Prob. 18QCCh. 10 - Prob. 19QCCh. 10 - Prob. 20QCCh. 10 - Prob. 1MCQCh. 10 - Prob. 2MCQCh. 10 - Prob. 3MCQCh. 10 - Prob. 4MCQCh. 10 - Prob. 5MCQCh. 10 - Prob. 6MCQCh. 10 - Prob. 7MCQCh. 10 - Prob. 8MCQCh. 10 - Prob. 9MCQCh. 10 - Prob. 10MCQCh. 10 - Prob. 11MCQCh. 10 - Prob. 12MCQCh. 10 - Prob. 13MCQCh. 10 - Prob. 14MCQCh. 10 - Prob. 15MCQCh. 10 - Prob. 16MCQCh. 10 - Prob. 17MCQCh. 10 - Prob. 18MCQCh. 10 - Prob. 19MCQCh. 10 - Prob. 20MCQCh. 10 - Prob. 21MCQCh. 10 - Prob. 22MCQCh. 10 - Prob. 23MCQCh. 10 - Prob. 24MCQCh. 10 - Prob. 25MCQCh. 10 - Prob. 26MCQCh. 10 - Prob. 27MCQCh. 10 - Prob. 28MCQCh. 10 - Prob. 29MCQCh. 10 - Prob. 30MCQCh. 10 - Prob. 31MCQCh. 10 - Prob. 32MCQCh. 10 - Prob. 33MCQCh. 10 - Prob. 1SGRCh. 10 - Prob. 2SGRCh. 10 - Prob. 3SGRCh. 10 - Prob. 4SGRCh. 10 - Prob. 5SGRCh. 10 - Prob. 6SGRCh. 10 - Prob. 7SGRCh. 10 - Prob. 8SGRCh. 10 - Prob. 9SGRCh. 10 - Prob. 10SGRCh. 10 - Prob. 11SGRCh. 10 - Prob. 12SGRCh. 10 - Prob. 13SGRCh. 10 - Prob. 14SGRCh. 10 - Prob. 15SGRCh. 10 - Prob. 16SGRCh. 10 - Prob. 17SGRCh. 10 - Prob. 18SGRCh. 10 - Prob. 19SGRCh. 10 - Prob. 20SGRCh. 10 - Prob. 21SGRCh. 10 - Prob. 22SGRCh. 10 - Prob. 23SGRCh. 10 - Prob. 24SGRCh. 10 - Prob. 25SGRCh. 10 - Prob. 26SGRCh. 10 - Prob. 27SGRCh. 10 - Prob. 28SGRCh. 10 - Prob. 29SGRCh. 10 - Prob. 30SGRCh. 10 - Prob. 31SGRCh. 10 - Prob. 32SGRCh. 10 - Prob. 33SGRCh. 10 - Prob. 34SGRCh. 10 - Prob. 35SGRCh. 10 - Prob. 36SGRCh. 10 - Prob. 37SGRCh. 10 - Prob. 38SGRCh. 10 - Prob. 39SGRCh. 10 - Prob. 40SGRCh. 10 - Prob. 41SGRCh. 10 - Prob. 42SGRCh. 10 - Prob. 43SGRCh. 10 - Prob. 44SGRCh. 10 - Prob. 45SGRCh. 10 - Prob. 46SGRCh. 10 - Prob. 47SGRCh. 10 - Prob. 48SGRCh. 10 - Prob. 49SGRCh. 10 - Prob. 50SGRCh. 10 - Prob. 51SGRCh. 10 - Prob. 1PTCh. 10 - Prob. 2PTCh. 10 - Prob. 3PTCh. 10 - Prob. 4PTCh. 10 - Prob. 5PTCh. 10 - Prob. 6PTCh. 10 - Prob. 7PTCh. 10 - 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