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Precalculus Enhanced with Graphing Utilities

Sullivan

$Math Studyset 91影视 Explanations$ Math

6th Edition 路 1200 pages

ISBN: 9780321795465

Chapter 6: Q. 23 (page 365)

Convert each angle to a decimal in degrees. Round your answer to two decimal places.
$40 掳 10' 25''$

Short Answer

Expert verified

The solution is $40.18 掳$

Step by step solution

01

Step1. Given information

$40 掳 10' 25''$

02

Step2. Formula used

$1' = (\frac{1}{60}) 掳 a n d 1'' = (\frac{1}{3600}) 掳$

03

Step3. Calculation

We have

40 掳 10' 25'' = 40 掳 + 10 . (\frac{1}{60}) 掳 + 25 . (\frac{1}{3600}) 掳 = 40 掳 + (\frac{1}{6}) 掳 + (\frac{1}{144}) 掳 = 40 掳 + . 17 掳 + . 0069 = 40.1769 掳 = 40.18 掳

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