Question

Been stuck on this for days! Please help!

Answer 1

Explanation:

`a {b}^(2) = (27)/(5) \\ \\ {a}^(2) b = 135 \\`

`{b}^(2) = (5.4)/(a) \\ {a}^(2) = (135)/(b)`

`b = \sqrt{ (5.4)/(a) }`

`b = { ( (5.4)/(a) ) }^(0.5 ) \\ \\ b = \frac{2.32}{ {a}^(0.5) } \\`

`{a}^(2) = \frac{135}{ \frac{2.32}{ {a}^(0.5) } } \\ {a}^(2) = \frac{135 {a}^(0.5) }{2.32} \\`

`{a}^(2) = 58.19 {a}^(0.5)`

`{a}^(1.5) = 58.19`

a =15.018(approximately)

`b = \frac{2.32}{ {a}^(0.5) } \\ b = (2.32)/(3.875) \\ b = 0.598`

b= 0.598 (approximately)

a+5b =18