Lesson 7E We All Scream for Ice Cream Practice Understanding

Ready

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.

7.

8.

9.

10.

11.

12.

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.

18.

Add.

19.

Multiply.

20.

Subtract.

21.

Divide.