Question #57926

: Fill in the blank 42.54° is the same as 42° 32'____''

: 32° 15'66'' is the same as____ Round to the nearest hundredth of a degree

: 136° is the same as ____ radians. Round to the nearest hundredth of a radian.

: 6 radians is the same as____°

round to the nearest hundredth of a degree and use 3.14 for pi
1

Expert's answer

2016-02-23T00:00:54-0500

Answer on Question #57926 - Math – Algebra

Condition. : Fill in the blank 42.54" is the same as 42° 32' ___"

: 32° 15'66" is the same as ___ Round to the nearest hundredth of a degree

: 136° is the same as ___ radians. Round to the nearest hundredth of a radian.

: 6 radians is the same as ___"

round to the nearest hundredth of a degree and use 3.14 for pi

Solution.

1) 42.54° = 42° + (0.54 * 60)' = 42° + 32.4' = 42° + 32' + (0.4 * 60)" = 42°32'24";

2) 32°15'66" = 32° + (15/60)° + (66/3600)° = 32° + (1/4)° + (11/600)° ≈ 32.27°;

3) 136° = (136/180) · 3.14 ≈ 2.37;

4) 6 = 6 · 180° = 1080°

Answer. : Fill in the blank 42.54" is the same as 42° 32' 24"

: 32° 15'66" is the same as 32.27° Round to the nearest hundredth of a degree

: 136° is the same as 2.37 radians. Round to the nearest hundredth of a radian.

: 6 radians is the same as 1080°

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