These exercise involve the formula for the area of a circular sector. The area of a sector of a circle with a central angle of $140^{\circ}$ is $70 \mathrm{m}^{2}.$ Find the radius of the circle.

If the quantities x, y, and z are related by the equation $z=3 \frac{x}{y},$ then we say that z is _____ _____ to x and _____ _____ to y.

An automaker produces a car that can travel 40 mi on its charged battery before it begins to use gas. Then the car travels 50 mi for each gallon of gas used. Represent the relationship between the amount of gas used and the distance traveled using a table, an equation, and a graph. Is total distance traveled a function of the gas used? What are the independent and dependent variables? Explain. Give a verbal description of the relationship between the miles the car travels and gallons of gas it uses.

Find the length s of the circular arc, the radius r of the circle, or the central angle $\theta,$ as indicated. Find the length s of the arc that subtends a central angle of measure $40^{\circ}$ in a circle of radius 12 m.

Find the length s of the circular arc, the radius r of the circle, or the central angle

$$\theta$$

, as indicated. Find the length s of the arc that subtends a central angle of measure 3 rad in a circle of radius 5 cm.

These exercises involve the formula for the area of a circular sector. A sector of a circle of radius 80 mi has an area of $1600\ \mathrm{mi}^{2}.$ Find the central angle (in radians) of the sector.

Find the length $s$ of the circular arc, the radius $r$ of the circle, or the central angle $\theta$, as indicated.

$$r=5$$

$$\theta= 140^\circ$$

$$s=?$$

Find the length $s$ of the circular arc, the radius $r$ of the circle, or the central angle $\theta$, as indicated.

$$r=5$$

$$\theta= ?$$

$$s=10$$

What effect do you think nature has had on the food supply in Africa?

Find the length s of the circular arc, the radius r of the circle, or the central angle $\theta$, as indicated. Find the radius r of the circle if an arc of length 20 cm on the circle subtends a central angle of $50^{\circ}.$

A sphere is shrunk so its volume is 343 times smaller than it was originally. How does the surface area of the sphere change when it is shrunk?

Which inequality gives the range of the cosine function?

$$\begin{array}{ll}{\text { A. } 0<y<1} & {\text { B. } y>0} \\ {\text { C. } 0 \leq y \leq 1} & {\text { D. } y \leq 1}\end{array}$$

The measure of all angles coterminal to $\frac{7 \pi}{4}$ differ from $\frac{7 \pi}{4}$ by a multiple of __________ .

The area of the base of a cylinder is 45 square inches and its height is 10 inches. A cone has the same area for its base and the same height. What is the volume of the cone?

$$\begin{aligned}V _ { \text {cylinder } } &= B h = \square \cdot \square = \square\\ V _ { \text {cone } } & = \frac { 1 } { 3 } V _ { \text {cylinder } } \\ & = \frac { 1 } { 3 } \square \\ & = \square \end{aligned}$$

The volume of the cone is ______ in$^3$.