Question

Hey! Can someone please help me with this question? Really appreciate it

Answer 1

`d = 0.112* 10^3`

Explanation:

Given

`h = 8.4 * 10^3`

`d = \sqrt{(3h)/(2)}`

Required

Find d

We have:

`d = \sqrt{(3h)/(2)}`

Substitute:
`h = 8.4 * 10^3`

`d = \sqrt{(3*8.4 * 10^3)/(2)}`

`d = \sqrt{(25.2 * 10^3)/(2)}`

`d = √(12.6 * 10^3)`

Express as:

`d = √(1.26 *10* 10^3)`

`d = √(1.26 *10^4)`

Split

`d = √(1.26) *√(10^4)`

`d = 1.122* 10^2`

To write in form of:
`a * 10^b`

The value of a must be:
`0 \le a \le 1`

So, we have:

`d = 0.1122* 10 * 10^2`

`d = 0.1122* 10^3`

Approximate

`d = 0.112* 10^3`