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29 August, 14:55

Convert into a decimal degree measure. 165° 37' 44"

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  1. 29 August, 15:16
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    165.628° (The 8 has a line over it signalizing that it repeats forever, but I didn't know how to put it in.)

    Step-by-step explanation:

    Since 165 is whole number, it is a full degree. Since each minute is equal to 1/60 degrees, you need to multiply 37 by 1/60. Since each second is equal to 1/3600 degrees, multiply it 1/3600 by 44. Add them all together.

    165 + 37 x 1/60 + 44 x 1/3600

    simplify: 74533/450

    Convert the fraction into a decimal by dividing the numerator by the denominator and you get 165.628° (with a repeating 8).
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