Express 74.26' in degrees, minutes, and seconds to the nearest second
The answer is 74 degrees, 15 minutes, 36 seconds but I don't know how to get to there
2007-09-12 16:02:25 · 5 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
74d +.26*60 = 74d + (15.60m = 15.m +(.60*60 = 36S))
=>74d + 15m + 36s
2007-09-12 16:07:15 · answer #1 · answered by Anonymous · 0⤊ 0⤋
On my screen, I see a "minute" sign after the 74.26, not a degree sign.
In any event.
Each degree is divided into 60 minutes. So if you have 0.26 degrees, that would give you 60*0.26 = 15.6 minutes.
Each minute is divided into 60 seconds. So, if you have 0.6 minutes, that would give you 60*0.6 = 36 seconds.
So, take 74.26 degrees, you have 74 degrees, set that aside and keep only the fraction. Multiply the fraction by 60 to get the minutes. Set the whole minutes aside and keep only the fraction. Multiply this fraction by 60 to get seconds. Stop there (even if you have fractions).
Centuries ago, you would have continued the same process into "thirds", "fourths" and "fifths", with a factor of 60 at each step, but now we stop at "seconds".
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If it really is 74.26 minutes, then that is more than 60 minutes: divide by 60.
74.26 / 60 = 1.23766666...
the whole number is the number of degrees: 1.
Set that aside and keep only the fraction; multiply it by 60
60*0.23766666... = 14.26
The whole number is the number of minutes: 14
Set that aside and keep only the fraction; multiply it by 60
60*0.26 = 15.6 seconds.
74.26 minutes = 1 deg. 14 min. 15.6 sec.
2007-09-12 23:10:53 · answer #2 · answered by Raymond 7 · 0⤊ 0⤋
74 + .26 x 60 minutes = 74 degrees, 15.6 minutes
15 + .6 minues x 60 seconds = 15 minutes 36 seconds
Altogether...
74 degrees 15 minutes 36 seconds
2007-09-12 23:08:11 · answer #3 · answered by JO 3 · 0⤊ 0⤋
okay you know that you have 74 degrees. that is given.
from there you have to use the decimal , .26, and break it down to minutes and seconds
to do this, you have to convert 26/100 (.26) to x/60. cross multiply and you get 15.6 minutes. now you have minutes, 15, but you need to break the decimal down into seconds.
to do this, use the same method. you must convert .6, 6/100 to x/60. cross multiply and you get 36.
i hope you understood this explanation.
2007-09-12 23:11:44 · answer #4 · answered by sapphireleech@sbcglobal.net 2 · 0⤊ 0⤋
subtract degrees 74
mult decimal degrees by 60 yielding minutes
whole part 15 is minute
subtract 15
mult decimal min by 60 yielding seconds
~36
2007-09-12 23:08:50 · answer #5 · answered by Sugar Shane 3 · 0⤊ 0⤋