Answer:
Step-by-step explanation:
a= adult ticket
a= student ticket
5a+1s=2874
1a+1s=1246
Subtract the second equation from the first one
4a=1628
a=407
a+s=1246
407+s=1246
s=839
Answer: (27- 4/3 pi) r^3
Step-by-step explanation: 1. Volume of a cube: V= a^3, V= 3^3 , V=27
2. Volume of a sphere: V=4/3 pi r^3 ......
I believe the center would be (-4,2) while the radius should be 3.
Answer: 4c-4<8 = c<3 9x+5>23= x>2
(2,3)
Step-by-step explanation:
By Green's theorem, the integral of
along
is

which is 6 times the area of
, the region with
as its boundary.
We can compute the integral by converting to polar coordinates, or simply recalling the formula for a circular sector from geometry: Given a sector with central angle
and radius
, the area
of the sector is proportional to the circle's overall area according to

so that the value of the integral is
