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mote1985 [20]
3 years ago
9

Identify the percent of change as an increase or decrease. Then find the percent of change, rounding to the nearest tenth of a p

ercent, if necessary.
60 cars to 24 cars
Mathematics
1 answer:
kap26 [50]3 years ago
3 0

Answer:

-60% decrease

Step-by-step explanation:

60 is the old value and 24 is the new value.

percent change = \frac{new - old}{|old|} x 100%

so for this problem, you can substitute the values given in the formula:

percent change = \frac{60-24}{|60|} x 100% = \frac{-36}{60} x 100% =

-60% (decrease)  

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What is the area of a regular 16-gon with a radius of 15 feet? Round your answer to the nearest tenth.
Sedbober [7]

Split up the 16-gon into 16 congruent isosceles triangles. Cut each of these isosceles triangles in half to get a right triangle.

The radius of the 16-gon corresponds to the hypotenuse of any of these 32 right triangles. As you probably know, the area of a triangle is half the product of its base and height. For a right triangle, the base and height can be taken to be the two legs. So you need to find their lengths.

Recall that the exterior angles of any convex polygon sum to 360º in measure. For a regular polygon, these angles are all congruent. There are 16 of them in this case, so they each have measure (360/16)º = 22.5º.

Interior angles are supplementary to exterior angles, which means each interior angle of the 16-gon has measure (180 - 22.5)º = 157.5º.

When we split up the 16-gon into isosceles triangles, the "base angles" are equal in measure to half the measure of the interior angles, since each hypotenuse bisects the interior angle. So each base angle has measure 78.75º.

In each right triangle, we then have base <em>b</em> and height <em>h</em> such that

sin(78.75º) = <em>h</em>/15

cos(78.75º) = <em>b</em>/15

Solve for <em>h</em> and <em>b</em> to get

<em>b</em> = 15 cos(78.75º)

<em>h</em> = 15 sin(78.75º)

Then the area of each right triangle is

1/2 <em>b h</em> = 225/2 sin(78.75º) cos(78.75º) = 225/4 sin(157.5º)

and so the area of the 16-gon is

32(1/2 <em>b h</em>) = 1800 sin(157.5º) ≈ 688.8 sq. ft.

4 0
3 years ago
Identify the terms and like terms in the expression - x - 9x*2 + 12x*2 + 7
alexgriva [62]
The expression - x - 9x^2 + 12x^2 + 7 has 4 terms:
-x, -9x^2, 12x^2, 7

Like terms are:
-9x^2, 12x^2
4 0
3 years ago
Solve for x, I'm confused
IrinaVladis [17]
Both angles have to be 90 so if you find the value for x for one you get the other one ahmatically answer is 22 btw :)
8 0
1 year ago
Read 2 more answers
Find the radius of a circle that has an area of 6.76 cm². Use it for pi.
Inessa05 [86]

Answer:

<h2>radius = 1.47 cm</h2>

Step-by-step explanation:

Area of a circle = πr²

where

r is the radius

From the question

Area = 6.76 cm²

To find the radius substitute the value of the area into the above formula and solve for the radius

That's

6.76 = \pi \:  {r}^{2}

Divide both sides by π

We have

{r}^{2}  =  \frac{6.76}{\pi}  \\ r =  \sqrt{ \frac{6.76}{\pi} }

r = 1.46689291

We have the final answer as

radius = 1.47 cm

Hope this helps you

8 0
3 years ago
If ∠=,m angle 1 equals 71, find ∠.
cluponka [151]
Do you have a picture?
3 0
2 years ago
Read 2 more answers
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