SOLUTION: Perform the following operations. Leave your answers in simplest form. a. 21 degrees 35' 31" + 49 degrees 51' 32" b. 93 degrees 38' 14" - 13 degrees 49' 27" Express the foll

Algebra ->  Points-lines-and-rays -> SOLUTION: Perform the following operations. Leave your answers in simplest form. a. 21 degrees 35' 31" + 49 degrees 51' 32" b. 93 degrees 38' 14" - 13 degrees 49' 27" Express the foll      Log On


   

Question 720732: Perform the following operations. Leave your answers in simplest form.
a. 21 degrees 35' 31" + 49 degrees 51' 32"
b. 93 degrees 38' 14" - 13 degrees 49' 27"
Express the following in degrees, minutes and seconds without decimals:
a. 10.3 degrees
b. 15.14 degrees
Answer by MathLover1(20855) About Me  (Show Source):
You can put this solution on YOUR website!
recall that 1 degree=60', and 1'=60"
a. 21 degrees 35' 31" + 49 degrees 51' 32"...add degrees and degrees, min and min, sec and sec
(21 degrees+ 49 degrees)+ (35' + 51')+(31"+32")

70 degrees 86' 63"....note that you have 86' and it is equal to 1 degree and 26'...so; add 1 degree to 70 degrees
71 degrees 26'63"....note that you have 63" and it is equal to 1' and 3"..so; add 1' to min
71 degrees 27'3"


b. 93 degrees 38' 14" - 13 degrees 49' 27"
subtract degrees from degrees, min from min, sec from sec
93-13 degrees 38-49' 14-27"
80 degrees 38-49' 14-27" ...as you can see, you cannot subtract 38-49', so you borrow 1 degree from 80 degrees and convert it in min and add to 38'
79 degrees 98-49' 14-27"
79 degrees 49' 14-27"....you cannot subtract 14-27", so you borrow 1' convert it in sec and add to 14"

79 degrees 48' 74-27"

79 degrees 48' 47"




Express the following in degrees, minutes and seconds without decimals:
a. 10.3 degrees =10 degrees0.3%2A60' =10 degrees18'
b. 15.14 degrees
=15 degrees0.14%2A60'
=15 degrees8.4'
=15 degrees8'0.4%2A60"
=15 degrees8'24"