The prime factor of the 576 is $2^6 * 3^2$ and the prime factor of the 64 is $2^6$ . And the expression $\sqrt{\dfrac{576}{64}}$ is equal to 3.

<h3>What is simplification?</h3>

Simplification is to make something easier to do or understand and to make something less complicated.

Given

The expression is $\sqrt{\dfrac{576}{64}}$

The prime factor of the 576 will be

$576 = 2^6 * 3^2$

The prime factor of the 64 will be

$64 = 2^6$

Then the expression will be

$\sqrt{\dfrac{576}{64}} = \sqrt{\dfrac{2^6 * 3^2}{2^6}}\\\\\sqrt{\dfrac{576}{64}} = \sqrt{3^2}\\\\\sqrt{\dfrac{576}{64}} = 3$

More about the simplification link is given below.

brainly.com/question/12616840

5 0

2 years ago

Using the scientific calculator or graphing calculator find the inverse tangent of the ratio. Round to the nearest degree. 3/1

professor190 [17]

Given:

The ratio is $\dfrac{3}{1}$ .

To find:

Inverse tangent of the given ratio.

Solution:

We know that,

Inverse tangent of the ratio $\dfrac{3}{1}$ = $\tan^{-1}\dfrac{3}{1}$

= $\tan^{-1}3$

Using scientific or graphing calculator, we get

Inverse tangent of the ratio $\dfrac{3}{1}$ = $71.565^\circ$

Round to the nearest degree

Inverse tangent of the ratio $\dfrac{3}{1}\approx 72^\circ$

Therefore, the correct option is C.

3 0

2 years ago

What's 0.09 as a decimal

bearhunter [10]

0.09 is a decimal!!!!!

3 0

2 years ago

Read 2 more answers

A circle is inscribed in a square. The area of the square is 100 square units. What is the area of the circle?

SIZIF [17.4K]

Answer:

It may not be one of those choices, but I got 25π

Step-by-step explanation:

The side lengths of the square have to be 10, since 10x10=100. The circle's radius then has to be 5. πr^2 is the area of a circle, so plug in r for 5. π5^2 equals 25π.

Unless the size of the circle is smaller or bigger, I didn't get those answers..

3 0

3 years ago