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Mathematics 12 Online
OpenStudy (anonymous):

Convert 17.47° to degrees, minutes, and seconds.

OpenStudy (jdoe0001):

so 17 degrees stays the same now let's see the float, or decimal part only 0.47 keep in mind that there are 60 minutes per degree, so in 1 degree, it'll be 1 x 60 in 0.47 degrees, it'll be 0.47 x 60

OpenStudy (anonymous):

well i got it to be either 17°28'18" or 17°28'12" right?

OpenStudy (jdoe0001):

and that will give you the minutes if the value gives you a decimal still, it means it has seconds and you do the same grab the decimal part only, multiply by 60 because there are also 60 seconds per minute

OpenStudy (jdoe0001):

yeap, that's correct

OpenStudy (jdoe0001):

either? heheh

OpenStudy (jdoe0001):

I only saw one I guess, anyhow, one of them is correct :)

OpenStudy (anonymous):

ok well yea i dont know which one :(

OpenStudy (jdoe0001):

well, grab the decimal part, multiply by 60 to get the minutes and again to get the seconds

OpenStudy (anonymous):

aaah i dont get what youre asking

OpenStudy (jdoe0001):

so 17 degrees stays the same now let's see the float, or decimal part only 0.47 keep in mind that there are 60 minutes per degree, so in 1 degree, it'll be 1 x 60 in 0.47 degrees, it'll be 0.47 x 60

OpenStudy (jdoe0001):

and that will give you the minutes if the value gives you a decimal still, it means it has seconds and you do the same grab the decimal part only, multiply by 60 because there are also 60 seconds per minute

OpenStudy (anonymous):

so 0.47 times 60?

OpenStudy (jdoe0001):

yes

OpenStudy (anonymous):

yea so i got 28

OpenStudy (jdoe0001):

28 exactly?

OpenStudy (jdoe0001):

28.00 was there no decimals?

OpenStudy (anonymous):

28.2

OpenStudy (jdoe0001):

ahhh, so you have decimals, that means there are seconds too from 28.2, grab the decimal part and again, multiply by 60 to get the seconds

OpenStudy (anonymous):

.2 times 60 = 12 :) thanks!!

OpenStudy (jdoe0001):

\(\color{red}{17}\color{blue}{.47}^o\\ \color{blue}{0.47} \times 60 = \color{red}{28}\color{blue}{.2}\\ \color{blue}{0.2} \times 60 = \color{red}{12}\\ \sf \Large \spadesuit\ \color{red}{17^o28'12''} \ \spadesuit \)

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