Lesson 9 Relationships with Meaning Solidify Understanding

Ready

1.

Write the formula for each measurement.

a.

Area of a circle

b.

Volume of a rectangular prism

c.

Volume of a cylinder

d.

Area of a rectangle

e.

Perimeter of a rectangle

f.

Circumference of a circle

2.

Find the perimeter and area for the rectangle.

rectangle with sides 5 ft and 8 ft.

3.

Find the circumference and area for the circle.

Circle with radius 5 in.

4.

Find the volume and surface area of the prism.

Rectangular prism with sides 7m, 9m, and 23m

Set

Based on the given trigonometric ratio, sketch a triangle and find a possible value for the missing side as well as the other missing trigonometric ratios. Label angles and as the two non-right angles in the right triangle.

5.

, .

, .

, .

Sketch of triangle:

6.

, .

,

, .

Sketch of triangle:

7.

, .

, .

, .

Sketch of triangle:

8.

, .

,

, .

Sketch of triangle:

Given a right triangle with angles and as the non-right angles. Determine if the statements are true or false. Justify your reasoning and show your argument.

9.

10.

11.

Use a trigonometric equation to find the unknown side. Round values to the nearest tenth.

12.

Right Triangle with angle 35 degrees adjacent side a, and hypotenuse 16

13.

Right Triangle with angle 73 degrees opposite side b, and hypotenuse 7

14.

Right Triangle with angle 65 degrees adjacent side x, and opposite side 20

Go

Find the slope of each line.

15.

line on a graph

16.

line on a graph

17.

line on a graph

Find the missing length in each right triangle. Then determine the slope of the hypotenuse given that the legs of the triangle are vertical and horizontal.

18.

Right triangle with short leg ?, long leg 15, and hypotenuse 17

Missing length:

Slope of hypotenuse:

19.

Right triangle with short leg ?, long leg 10, and hypotenuse radical 116

Missing length:

Slope of hypotenuse:

20.

Right triangle with short leg 3, long leg ?, and hypotenuse radical 58

Missing length:

Slope of hypotenuse: