Rachel left home for school at 7:45 one morning. She returned home at 4:05 that afternoon. How many hours and minutes was she gone? (The number of minutes in your answer must be less than 60.)

8 hours 20 minutes

Step-by-step explanation:

Given that :

Time Rachel left for school = 7:45 a.m

Time she returned Home = 4:05 p.m

Time for which Rachael was gone :

4:05 p.m - 7:45 a.m

7:45 a.m to 3:45 p.m= 8 hours

3:45pm to 4:05 pm = 20 minutes

= 8 hours 20 minutes

Rachael was gone for 8 hours 20 minutes

The side x is the hypotenuse of the triangle.

And we know that the leg that is labeled with a line is also 6.

Use the Pythagorean theorem and solve for x.

a² + b² = x²
3² + 6² = x²
9 + 36 = x²
45 = x²
√45 = x
√9×5 = x
√9√5 = x
3√5 = x

The answer is 3√5

Hope this helps :)