The value of z to the nearest hundredth is 45.11.
Direct variation is expressed using this equation : x = ky
Indirect variation is expressed using this equation: x = k/y
Where:
The information in the question can be represented with this equation: z = k√x / y
116 = k√36 / 3
116 = 6k / 3
116 = 2k
k = 116/2
k = 58
In order to determine the value of y, these steps would be taken:
58√49 / 9
(58 x 7) / 9
= 406 / 9
= 45.11
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