Mathematics for Machine Technology
Mathematics for Machine Technology
7th Edition
ISBN: 9781133281450
Author: John C. Peterson, Robert D. Smith
Publisher: Cengage Learning
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Textbook Question
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Chapter 56, Problem 1AR

Add, subtract, multiply, or divide each of the following exercises as indicated.
a. 37°18' + 86°23'
b. 38°46' + 23°43'
c. 136°36'28" - 94°17'15"
d. 58°14' - 44°58'
e. 4(27°23')
f. 3(7°23'43")
g. 87° ÷ 2
h. 103°20' ÷ 4

Expert Solution
Check Mark
To determine

(a)

The sum of the given angles.

Answer to Problem 1AR

  123°41

Explanation of Solution

The sum of the angles is

  37°18+86°23=123°41

Conclusion:

The sum of angles is 123°41.

Expert Solution
Check Mark
To determine

(b)

The sum of the given angles.

Answer to Problem 1AR

  62°29

Explanation of Solution

The sum of the angles is

   38 ° 4 6 + 23 ° 4 3 = 61 ° 8 9

Since 1°=60

Then, 89=1°+29

Thus, 61°+1°29=62°29

Conclusion:

The sum of angles is 62°29.

Expert Solution
Check Mark
To determine

(C)

To subtract the given angles.

Answer to Problem 1AR

  42°1913

Explanation of Solution

Subtract 94°1715 from 136°3628

Then, 136°362894°1715=42°1913

Conclusion:

Therefore, the subtraction of angles is 42°1913

Expert Solution
Check Mark
To determine

(d)

To subtract the given angles.

Answer to Problem 1AR

  13°16

Explanation of Solution

Subtract 44°58 from 58°14

Then,

  58°1444°58or,57°7444°58[1°=60]13°16

Conclusion:

Therefore, the subtraction of angles is 13°16.

Expert Solution
Check Mark
To determine

(e)

The product of the given angles.

Answer to Problem 1AR

  109°32.

Explanation of Solution

Multiply 4 with 27°23

Then, 4×27°23=108°92

Since 1°=60

Then, 92=1°+32

Thus, 108°+1°+32=109°32

Conclusion:

Therefore, the product of angles is 109°32.

Expert Solution
Check Mark
To determine

(f)

The product of the given angles.

Answer to Problem 1AR

  22°119.

Explanation of Solution

Multiply 3 with 7°2343

Then,

  3×7°2343=21°6912921°+69+120+9[1°=60and1=60]21°719or,22°119

Conclusion:

Therefore, the product of angles is 22°119.

Expert Solution
Check Mark
To determine

(g)

To divide the given angles.

Answer to Problem 1AR

  43°30

Explanation of Solution

Divide 87° by 2

Then,

  2 43 ° 87 ° 86°_1°

Now, divide the remainder 1°=60 again by 2.

  2 3 0 6 0 60_0

Combine both the quotient we get

Then, 43°+30=43°30

Conclusion:

Therefore, the division of angles is 43°30.

Expert Solution
Check Mark
To determine

(h)

To divide the given angles.

Answer to Problem 1AR

  25°50.

Explanation of Solution

Divide 103° by 4

Then,

  4 25 ° 103 ° 100°_3°

Now, divide the remainder 3°=180+20=200 again by 4.

  4 5 0 20 0 200_0

Combine both the quotient we get

Then, 25°+50=25°50

Conclusion:

Therefore, the division of angles is 25°50.

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Chapter 56 Solutions

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