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sloppycanada
 one year ago
Write 15 degrees 26' 29" using decimal degrees. Round your answer to the nearest thousandth.
I don't want someone to do this for me, please explain it to me.
sloppycanada
 one year ago
Write 15 degrees 26' 29" using decimal degrees. Round your answer to the nearest thousandth. I don't want someone to do this for me, please explain it to me.

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prizzyjade
 one year ago
Best ResponseYou've already chosen the best response.0that is something you need to use a calculator

prizzyjade
 one year ago
Best ResponseYou've already chosen the best response.0scientific calculator to be exact

sloppycanada
 one year ago
Best ResponseYou've already chosen the best response.1@jim_thompson5910 When you get the chance...

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1the `26'` means `26 minutes` or `26 arcminutes` the `29" ` means `29 seconds` or `29 arcseconds`

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1Rules: 1 degree = 60 arcminutes 1 arcminute = 60 arcseconds

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1sound familiar?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1using those rules, we can write `26 arcminutes` as `(26/60) degrees` 60 arcminutes will give you a full degree. So 26 arcminutes is going to be a fraction (smaller than 1) of a degree

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.11 degree = 60 arcminutes 1 arcminute = 60 arcseconds means 1 degree = 60*60 = 3600 arc seconds so `29 arcseconds = (29/3600) degrees`

sloppycanada
 one year ago
Best ResponseYou've already chosen the best response.1That would be .008

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1so, 15 degrees 26' 29" = (15 degrees) + (26/60 degrees) + (29/3600 degrees) 15 degrees 26' 29" = (15 + 26/60 + 29/3600) degrees 15 degrees 26' 29" = ??? degrees

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1yeah I'm getting 15.4413888888889

sloppycanada
 one year ago
Best ResponseYou've already chosen the best response.1If I were to round that to the nearest thousandth, it's be 15.440

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.115.441 actually

sloppycanada
 one year ago
Best ResponseYou've already chosen the best response.1Alright, the next thing asks me to change the 29 to 9. so it'd be 15 degrees 26' and 9"

sloppycanada
 one year ago
Best ResponseYou've already chosen the best response.1Would that just be 15.436?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1looks good 15 + 26/60 + 9/3600 = 15.4358333333333 > 15.436

sloppycanada
 one year ago
Best ResponseYou've already chosen the best response.145 degrees 9' 30"

sloppycanada
 one year ago
Best ResponseYou've already chosen the best response.145 + 9/60 + 30/3600 = 45.158

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1looks good \[\color{red}{45} \text{ degrees}, \color{blue}{9} \text{ minutes}, \color{green}{30} \text{ seconds} = (\color{red}{45} + \color{blue}{9}/60 + \color{green}{30}/3600) \text{degrees}\]
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