Question

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

Answer 1

Answer:

$d = 0.112* 10^3$

Step-by-step explanation:

Given

$h = 8.4 * 10^3$

$d = \sqrt{\frac{3h}{2}}$

Required

Find d

We have:

$d = \sqrt{\frac{3h}{2}}$

Substitute: $h = 8.4 * 10^3$

$d = \sqrt{\frac{3*8.4 * 10^3}{2}}$

$d = \sqrt{\frac{25.2 * 10^3}{2}}$

$d = \sqrt{12.6 * 10^3}$

Express as:

$d = \sqrt{1.26 *10* 10^3}$

$d = \sqrt{1.26 *10^4}$

Split

$d = \sqrt{1.26} *\sqrt{10^4}$

$d = 1.122* 10^2$

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

$d = 0.112* 10^3$