Runners in a long distance race start out going 6 kilometers east and then head north for the remainder of the race. the finish line is 10 kilometers from the starting line. how far did the runners travel north?

4 km
8 km
10 km

This forms a right triangle with 6 being the base and 10 being the hypotenuse.

Using the Pythagorean theorem solve the distance north, which would be the height of the right triangle.

X = √(10^2 - 6^2)

X = √(100-36)

X = √64

X = 8

The answer is 8 km.

8 km

Step-by-step explanation:

Given : Runners in a long distance race start out going 6 kilometers east and then head north for the remainder of the race.

The finish line is 10 kilometers from the starting line.

To Find: How far did the runners travel north?

Solution :

Refer the attached figure

Runners in a long distance race start out going 6 kilometers east  i.e. AB = 6 km

The finish line is 10 kilometers from the starting line.i.e. AC = 10 km

We are supposed to find How far did the runners travel north i.e.CB

So, we will use Pythagoras theorem :

Hence the runners travel north is 8 km

73.0769230769% of the games were won

3< x< 5

step-by-step explanation:

|x - 4| < 1

there are two solutions, one positive and one negative.   remember to flip the inequality when taking the negative solution

x-4 < 1       x-4 > -1

add 4 to each side

x-4+4 < 1+4       x-4+4 > -1+4

x< 5                 x> 3

3< x< 5