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kipiarov [429]
3 years ago
9

32゚ 15' 66" is the same as ____ Round your answer to the nearest 100th of a degree

Mathematics
1 answer:
Amiraneli [1.4K]3 years ago
5 0

The original number is degree, minutes and seconds.


There are 60 minutes in an hour and 3600 seconds in an hour.


Divide minutes by 60 and divide seconds by 3600, then add to the degrees:


15 / 60 = 0.25

66 / 3600 = 0.01833


Total degrees: 32 + 0.25 + 0.01833 = 32.2683

Rounded to the nearest 100th = 32.27 degrees.

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if the product of 4 and a number is decreased by 12, the result is twice the opposite of the number. Find the number. EXPLAIN PL
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Answer:  The number is:  "2 " .
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Explanation:
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Write the expression; which is an equation, as follows:
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     " 4x <span>− 12 = 2(-x) " ;  in which "x" represents "the number for which we shall                                       solve" .
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Note:  

If the "number" = "x" ;  the "opposite of the number"  =  " -x " ;
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Rewrite as:  " 4x <span>− 12 = -2x " ;
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     →  Add "12" ; & add "2x" ; to EACH SIDE of the equation:

                      4x − 12 + 12 + 2x = -2x + 12 + 2x ;

           to get:    6x  = 12  ;
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 Now, divide each side of the equation by "6" ; 
     to isolate "x" on one side of the equation; & to solve for "x" ;
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                         6x / 6  =  12 / 6 ;

                    to get:    x = 2 .
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Answer:  The number is:  "2 " .
____________________________________________________
Let us check our answer, by plugging in "2" for "x" in our original equation:
_____________________________________________________
        →   " 4x − 12 = 2(-x) " ;

  Let us plug in "2" for "x" ; to see if the equation holds true; that is; if both side of the equation are equal; when "x = 2" ;

        →   " 4(2) − 12 = ?  2(-2) ?? 

        →    8 − 12 = ?  -4 ? ;
 
        →    -4 = ? -4 ??  Yes!
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