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katovenus [111]
3 years ago
15

......................answer

Mathematics
2 answers:
alexandr402 [8]3 years ago
7 0
1) agriculture
2) 5 million people were exposed to radiation
Akimi4 [234]3 years ago
4 0
1) agriculture
2) actually 30 people died so I think the answer of 5 million were exposed to radiation
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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
Jaylynn was buying new mascara. She bought it on sale for $5.56. If the price represents a 20% discount from the original price,
Len [333]
X-0.20x=5.56
Solve for x
So the original price is
X=6.95
4 0
3 years ago
Find the x value for the point that splits segment AB in half if point A is located at (4, 3) and point B is located at (−2, 6).
erastova [34]
Midpoint = (x1+x2)/2 and (y1+y2)/2 =  so just solving for
x gives (4+(-2))/2 = 1


not asked for but the y value is (3+6)/2 = 9/2 = 4.5 so the ordered pair is (1, 4.5)
3 0
3 years ago
Read 2 more answers
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nadezda [96]
9.) 3
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6 0
3 years ago
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Wilson's brother earns $185 each month working an after-school job. What is the total amount of money he will earn after
prisoha [69]
185 • 12 = $2,220
So your answer is $2,220
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3 years ago
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