Lesson 7 Are Relationships Predictable? Develop Understanding

Ready

Find the missing side, , and the missing angle, .

1.

Right triangle with shorter leg 3 and corresponding angle a; longer leg n and corresponding angle 53.185 degrees; hypotenuse 5

2.

Right triangle with shorter leg 4 and corresponding angle 30 degrees; longer leg n and corresponding angle a; hypotenuse 8

3.

Isosceles Right triangle with leg 6 and corresponding angle 45 degrees; leg 6 and corresponding angle a; hypotenuse n

4.

Right triangle with shorter leg 7 and corresponding angle 34.99 degrees; longer leg 10 and corresponding angle a; hypotenuse n

5.

Right triangle with shorter leg 2 and corresponding angle a; longer leg 5 and corresponding angle 68.2 degrees; hypotenuse n

6.

Right triangle with shorter leg 5 and corresponding angle a; longer leg n and corresponding angle 67.38 degrees; hypotenuse 13

Set

Write the indicated trigonometric ratios. If any sides of the triangle are missing, find them before determining the ratio.

7.

Triangle ABC with AC=4, AB=8.06, and CB=7

,

,

,

8.

Triangle ABC with AC=8.5, AB=9.01, and CB=3

,

,

,

9.

Triangle ABC with AC=3, CB=3

,

,

,

10.

Triangle ABC with AB=10, and CB=6

,

,

,

Go

Find the factored form and the intercepts for each quadratic function.

11.

factored form:

-intercepts:

-intercept:

12.

factored form:

-intercepts:

-intercept:

13.

factored form:

-intercepts:

-intercept:

14.

factored form:

-intercepts:

-intercept:

15.

factored form:

-intercepts:

-intercept:

16.

factored form:

-intercepts:

-intercept:

17.

factored form:

-intercepts:

-intercept:

18.

factored form:

-intercepts:

-intercept:

19.

factored form:

-intercepts:

-intercept: