Peter leaves work and drives 10miles due south he then heads east for 11 miles to reach his home how far is Peter home from where he works round answer to nearest tenths place

14.9 miles

Step-by-step explanation:

In the image below, the side of the triangle a, represents; "Peter leaves work and drives 10miles due south".

The side of the triangle b represents; "he then heads east for 11 miles to reach his home"

The distance between his work and home is represented by side c of the triangle.

This is a tight angle triangle, hence pythagoras theorem would be applied in solving it.

This theorem states that the square of the hypotenuse of a right angle triangle is equal to the sum of the squares of the other two sides;

This means we have;

c² = a² + b²

c² = 10² + 11²

c = √(100+121)

c = 14.87

Rounding off to the nearest tenths = 14.9

if im not mistaking its

step-by-step explanation:  

93-8=85

855=17

17*4=68

there are 68 purple marbles in that bag