Use a combination to answer the following question. The track coach needs to higher three managers for the track team. If ten students applied for the positions,

How many ways can the coach select three managers from 10 students?

n=
r=



(answer with no comas or decimals)

The inside wheels of a car traveling on a circular path are rotating half as fast as the outside wheels. the front two wheels are six feet apart. what is the number of feet in the path traced by the inside front wheel in one trip around the circle? express your answer in the form "k \pi", where k is an integer.

Kayla wants to find the width, ab, of a river. she walks along the edge of the river 65 ft and marks point c. then she walks 25 ft further and marks point d. she turns 90° and walks until her location, point a, and point c are collinear. she marks point e at this location, as shown. (a) can kayla conclude that δ and δ are similar? why or why not? (b) suppose de = 15 ft. what can kayla conclude about the width of the river?

What is the image of c for a 90° counterclockwise rotation about a? (3, 7) (-1, 3) (7, 3)