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borishaifa [10]
3 years ago
12

If the radius of a circle is increased by x, by what amount is the circumference of the circle increased? A) x. B) 2x. C) 2piex

D) x squared.
Mathematics
1 answer:
soldi70 [24.7K]3 years ago
4 0

Answer:

c) 2 pi x

Step-by-step explanation:

The circumference is based on the equations:

C = pi * d where d = diameter

We also know that the radius is half of the diameter as its the length of a line from the centre of the circle while the diameter is the length of two opposite points through the centre of the circle.

This tells us that d = 2r

So we can replace the equation for the circumference with:

C = pi * 2r

An increase of x to the radius would thus mean that the circumference is increased by 2(pi * x), as 2(pi * (r + x) could be used to find the new value of the circumference, which is the same as:

2(pi * r) +  2(pi * x)

So the answer is 2 pi x

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Studentka2010 [4]
21000 people paid for general admission and 6000 paid for reserved seats. This is solved by making 2 equations. Out of 27000 people who were at game, x of them paid for general admission and y for reserved seats, thus
x + y = 27000
As said, daily receipts were 204000$. As reserved seat is 13$, y of them gave 13$ each (y*13$) and x of them gave 6 for general admission(x*6) and those two add up and we get second equation
13y + 6x = 204000.
This can be solved by transforming first equation into x = 27000 - y and then replacing the x in second.
13y + 6*(27000 - y) = 204000
13y + 162000 - 6y = 204000
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y = 6000
x + 6000 = 27000
x = 27000 - 6000 = 21000
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Answer:

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