Area = pi r^2
100 pi = pi r^2
100 = r^2
r = 10 units
There are 8x 8 = 64 possible rolls
ways to sum to 15:
78
87 two ways 2/64 = 1/32
Circumference = pi d
240 = pi d
d = 240/pi r = 120 / pi
Area = pi r^2 = pi (120 /pi)^2 = 14400 / pi ft2 = 4583.66 ft 2
angle JIL encompasses the rest of the circle arc 360 - 228 = 132
the angle inscribed on the circle encompasses 2 times as much arc angle JIL = 66o
Angle IJK and angle and angle ILK are supplementary (opposite angles inscrided quadrilateral = 180)
180 - 131 = 49o = angle ILK
From fifth to 32 terms is 27 terms or 27d
9 + 27d = -84
27d = -93
d = - 93/27
from fifth term to 23rd is 18 d
a23 = 9 + 18 (-93/27) = -53
8/y = 4/6
8 * 6/4 = y =12 units
q = quarters
n = nickels = 2q+ 5
25 q + 5(2q+5) = 305
35q = 280
q = 8 n = 21
Triangle bisector theorem:
36/28 = q/(16-q)
38(16-q) = 28q
q = 9
Use the distance formula or pythag theorem
sqrt ( 1-2)^2 + (-9- -1)^2 ) = sqrt (1 + 8^2 ) = sqrt 65 units
Usually tan has asymtope at pi/2 ( where cos = 0 )
this is changes to 1/2 of that so 2 x
tan ( 2x ) then it is shifted DOWN 5 units
tan ( 2x) - 5 now at - pi/8 y = -7
? tan (2 * - pi/8) -5 = -7
? = 2
2 tan (2x) - 5 = y