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Arte-miy333 [17]
3 years ago
8

PLEASE HELP WILL GIVE BRAINLIEST

Mathematics
1 answer:
saveliy_v [14]3 years ago
4 0
S=r*theta where s is arc length and the r is radius and theta is in RADIANS ONLY!! If you use degrees this formula does not work.

So we have a arc length of 38.485ft and a radius of 7. So rearranging the formula for theta, we get;

theta=(38.485)/(7)= 5.498radians then to convert to degrees if needed just take;

5.498rad*(180/pi)= 315deg
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Read 2 more answers
The following function represents the profit P(n), in dollars, that a concert promoter makes by selling tickets for n dollars ea
Gre4nikov [31]
A) zeroes

P(n) = -250 n^2 + 2500n - 5250

Extract common factor:

P(n)= -250 (n^2 - 10n + 21)

Factor (find two numbers that sum -10 and its product is 21)

P(n) = -250(n - 3)(n - 7)

Zeroes ==> n - 3 = 0  or n -7 = 0
Then n = 3 and n = 7 are the zeros.

They rerpesent that if the promoter sells tickets at 3  or 7 dollars the profit is zero.

B) Maximum profit

Completion of squares

n^2 - 10n + 21 = n^2 - 10n + 25 - 4 = (n^2 - 10n+ 25) - 4 = (n - 5)^2 - 4

P(n) = - 250[(n-5)^2 -4] = -250(n-5)^2 + 1000

Maximum ==> - 250 (n - 5)^2 = 0 ==> n = 5 and P(5) = 1000

Maximum profit =1000 at n = 5

C) Axis of symmetry

Vertex = (h,k) when the equation is in the form A(n-h)^2 + k

Comparing A(n-h)^2 + k with - 250(n - 5)^2 + 1000

Vertex = (5, 1000) and the symmetry axis is n = 5.



8 0
3 years ago
3x+4y=-23 <br> 2y-x=-19 <br> What is the solution (x,y) to the systems of equations above?
Shkiper50 [21]
If we multiply the bottom equation by 2 and move x to the right, it becomes:

4y = 2x-38

Now we can substitute it for the 4y in the top equation:

3x + (2x-38) = -23 => 5x = -23+38 => 5x = 15 => x=3

Then 4y = 2*3-38 => y = -8

So the solution is (3,-8)
3 0
3 years ago
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