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KATRIN_1 [288]
3 years ago
11

Find the unit rate: 6 and 2/5 rotations in 2 and 2/3 seconds.

Mathematics
1 answer:
GrogVix [38]3 years ago
4 0
I'd suggest you write "6 2/5," not "6 and 2/5."

6 2/5 rotations
-------------------- = 
2 2/3 seconds

32
---
 5            32       3
------- = ------ * -----
 8              5       8                 Reduce that 32/8:  obtain 4.
---
 3

Then we have

4(3)/5, or 12/5 rotations per sec.
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______________________________________________
Explanation:
______________________________________________
Area of a triangle = (½) * (base) * (height) ;

or,  A = (½) * b * h ;  or,  A = b*h / 2 ;
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Given:  A = 24.3 mi ² ;
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(½) * (8.1 mi) = 4.05 mi  ;
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Rewrite: 
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24.3 mi² = (4.05 mi) *(h) ;  Solve for "h" ;
_________________________________________
 Divide each side of the equation by "(4.05 mi)" ; to isolate "h" on one side of the equation ; and to solve for "h" ; 
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   24.3 mi²  / 4.05 mi  = (4.05 mi) *(h)  / 4.05 mi ;
                                 
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