7.
The library is 10 kilometers south of Aaron’s home. The school is 10 kilometers east of Aaron’s home. How many kilometers, to the nearest tenth of a kilometer, is the library from the school?
10.2 km
12.0 km
20.0 km
14.1 km
This is a right triangle problem. We can use the Pythagorean theorem to find the distance between the library and school.
Let's call the distance between the library and school "d".
Using the Pythagorean theorem:
d^2 = (10 km)^2 + (10 km)^2
d^2 = 200 km^2
d = sqrt(200) km
d = 14.1 km (rounded to the nearest tenth of a kilometer)
Therefore, the distance between the library and school is approximately 14.1 kilometers.