Step-by-step explanation:
[tex]a {b}^{2} = \frac{27}{5} \\ \\ {a}^{2} b = 135 \\ [/tex]
[tex] {b}^{2} = \frac{5.4}{a} \\ {a}^{2} = \frac{135}{b} [/tex]
[tex]b = \sqrt{ \frac{5.4}{a} } [/tex]
[tex]b = { ( \frac{5.4}{a} ) }^{0.5 } \\ \\ b = \frac{2.32}{ {a}^{0.5} } \\ [/tex]
[tex] {a}^{2} = \frac{135}{ \frac{2.32}{ {a}^{0.5} } } \\ {a}^{2} = \frac{135 {a}^{0.5} }{2.32} \\ [/tex]
[tex] {a}^{2} = 58.19 {a}^{0.5} [/tex]
[tex] {a}^{1.5} = 58.19[/tex]
a =15.018(approximately)
[tex]b = \frac{2.32}{ {a}^{0.5} } \\ b = \frac{2.32}{3.875} \\ b = 0.598[/tex]
b= 0.598 (approximately)
a+5b =18
