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2 years ago

14

A circular mirror has a diameter of 12 inches. A circular frame that is 3 inches wide surrounds the mirror. What is the combined

area, in square inches, of the circular mirror and the frame

1 answer:

soldi70 [24.7K]2 years ago

8 0

Answer:

$176.71$ $in^{2}$

Step-by-step explanation:

The equation to use to find the radius of a circle is $r = \frac{d}{2}$

The equation to use to find the area of a circle is $A = \pi r^{2}$

First, add $3$ inches to the diameter of $12$ inches. You will get $15$ inches.

Second, you will want to find the radius. Substitute $15$ for $d$ . Solve to get the radius.

$r = \frac{15}{2}$

$r = 7.5$

The radius is $7.5$ inches.

Next, you substitute $7.5$ for $r$ in the area equation. Solve to get the area.

$A = \pi (7.5)^{2}$

$A = 176.71 in^{2}$

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3 years ago

Read 2 more answers

The points (10, -10) and (8, -10) fall on a particular line. What is its equation in slope-intercept form?

blondinia [14]

y = 0x - 10 is the equation in slope-intercept form given that the points (10, -10) and (8, -10) which fall on a particular line. This can be obtained by the formula of the slope-intercept form of the line.

<h3>What is its equation in slope-intercept form?</h3>

Linear equation is an equation that models a linear function.

In linear equation the variables are raised to the first power.

Example, Linear equation: 2x + 3, Not a linear equation: x² + 5

The graph of a linear equation contains all the ordered pair that are solutions of the equation.

The equation of a line is given by,

y = mx + c, m is the slope of the equation, c is the y intercept

m = $\frac{y_{2} -y_{1} }{x_{2} -x_{1} }$ , y intercept is the y coordinate of the point where y crosses the y axis.

Here in the question it is given that,

The points (10, -10) and (8, -10) fall on a particular line.

We have to find the equation in slope-intercept form.

Slope of the equation will be,

m = $\frac{y_{2} -y_{1} }{x_{2} -x_{1} }$ ⇒ m = $\frac{-10 -(-10) }{8 -10 }$ ⇒ m = 0

y-intercept of the equation will be,

y = mx + c ⇒ -10 = 0 + c ⇒ c = -10

The equation of the line in slope-intercept form will be,

y = 0x -10

Hence y = 0x - 10 is the equation in slope-intercept form given that the points (10, -10) and (8, -10) which fall on a particular line.

Learn more about slope-intercept form here:

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1 year ago

The numbers of cars (c) in the parking lot increases when the parking fee (f) decrease. Write the correct equation for this scen

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So when one goes up, the other goes down. This is an inverse equation.

An inverse equation looks like this: y = 1/x

In this case, when parking fee (f) decreases, cars (c) increase.
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30.00 10 (30.00 = x/10) x=300

So your equation in this case is f = 300/c
Knowing that, plug in the fee of 6.00

6 = 300/c Multiply both sides by c.
6c = 300 Divide both sides by 6.
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