Question

1
(2 × 105) + (5 × 104)
4.52+10.82
4

Answer 1

a) 5.85

b) 0.0004

Explanation:

`a) \: \: \sqrt{ \frac{ {4.5}^(2) + {10.8}^(2) }{4} } \\ \\ = \sqrt{ ( 20.25 + 116.64 )/(4) } \\ \\ = \sqrt{ (136.89)/(4) } \\ \\ = √(34.2225) \\ \\ = 5.85 \\ \\ b) \: \: \frac{1}{(2 * {10}^(5) ) + (5 * {10}^(4)) } \\ \\ = \frac{1}{(20* {10}^(4) ) + (5 * {10}^(4)) } \\ \\ = \frac{1}{(20 + 5) * {10}^(4) } \\ \\ = \frac{1}{25 * {10}^(4) } \\ \\ = 0.04 * {10}^( - 4) \\ \\ = 0.0004`