# Lesson 7EWe All Scream for Ice CreamPractice Understanding

### 1.

The side lengths of right triangle are , , and . If is the numerator of in the triangle, what is the trigonometric ratio for ?

### 2.

The side lengths of right triangle are , and . If is the numerator of in the triangle, what is the trigonometric ratio for ?

### 3.

The side lengths of a right triangle are , and . If is the numerator of in the triangle, what is the trigonometric ratio for ?

### 4.

The side lengths of right triangle are , and . If is the numerator of in the triangle, what is the trigonometric ratio for ?

### 5.

The side lengths of right triangle are , and . If is the numerator of in the triangle, what is the trigonometric ratio for ?

### 6.

The side lengths of right triangle are , and . If is the numerator of in the triangle, what is the trigonometric ratio for ?

## Set

Solve each equation. Identify extraneous solutions.

### 13.

Channing takes twice as long as Dakota to complete a school project. It takes them 15 hours to complete the project together. How long would it take each student to complete the project if he works alone?

### 14.

A print shop can print an Algebra 2 book in minutes if both of their print machines are working together to do the job. If a print machine is working alone, the job takes longer. Machine A can print the book minutes faster than machine B. How long does it take each machine to print the entire book?

### 15.

The scenario in problem 14 generates an extraneous solution. Neither solution makes a denominator equal zero. Why can we not use both solutions?

## Go

Perform the indicated operations.

(Assume all denominators ≠ 0)

### 16.

Rewrite by dividing out all common factors.

### 17.

Rewrite by dividing out all common factors.