Is that point given (-7,\(\sqrt{23}\) ) ?? I will assume it is
Find hypoytenuse length of the terminal ray ( or magnitude)
= sqrt ( (-7)^2 + (sqrt23)^2 ) = sqrt (49 + 23) = sqrt 72
cos = -7 / sqrt (72) = - 7/ (6sqrt 2)
5 angle regular pentagon ( n-2)(180) = sum of interior angles
3 * 180 = 540 so each of the five angles = 540 / 5 = 108 degrees = a
a + b are supplementary ( they add to 180) 108 + b = 180 you can finish....right ?
EIGHT interior angles of a 8 sided polygon shoud sum to ( 8 -2 )(180) = 1080
n in the diagram = 1080 - the sum of the other given angles =.......
Between 1 month and two months the charge increases 30 dollars
so they charge 30 dollars per month at one month the charge is 80 dollars....30 of this is monthly charge, so 50 dollars is one-time charge
4 months should be 4 m * $ 30 /m + $ 50 = $170.
Interior angles of an n -polygon sum to ( n-2)(180) for 7 angles 5(180 ) = 900 degrees
so each of the seven interior angles = 900 / 7 = 128.57 degrees
angle n in the diagram is supplementary to this interior angle and equals 180 - 128.57 = 51.43 degrees
Maybe you overthought it a bit, but I think it is just this:
1 + y x-1 dy/dx
= -1 y x-2
= - y/x2 ??
Area of WHOLE circle = pi r^2 = 16 pi
shaded area is a fraction of 360 80 out of 360
80/360 * 16 pi = .......... in2
PIck a pair say -7 -32 sub into first equation -32 = -4(-7) - 4 ?
-32 = 24 ? no
try the next one and the one after that and the one after that until one of them is 'true ' <====== that will be your answer
If the lines are parallel the two angles are equal
19x -4 = 110
19x = 114
x = 114/19 = .............
