A man drove 8 miles directly east from his home, made a left turn at an intersection, and then traveled 8 miles due north to his place of work. If a road was made directly from his home to his place of work, what would its distance be? miles

11.3 miles

Step-by-step explanation:

We can use the pythagorean theorem to find the distance from his home to work, since the 3 roads form a right triangle where the new road is the hypotenuse.

a² + b² = c²

8² + 8² = c²

128 = c²

= approx. 11.3 miles

ruth is 6 years old

step-by-step explanation:

6 + 24 = 30,   so 6/30 = .2  

if you do 1/5 it also equals .2, so that is the answer.