ElectricPavlov

10 + 9 = 19 ft  =  adjacent leg of right triangle  of 36 ^o  angle

Height =  19 tan 36^o =~  13.8 ft

Volume of a sphere = 4/3 pi r ³         r for this sphere = 1     Plug and play......

x = 3 pters

38 - x = 1 pters

3 * x    + 1 * ( 38-x) = 70       solve for 'x' the number of 3 pointers (fiels goals)

3.2  + 4d = 4

4d = .8

d = .2

Firt term is thus   3.2 - .2 = 3

a_n  = 3 + .2(n-1)

     = 2.8 + .2n   

I think you can find the first 7 terms gieven the formula....

a₁₀₀ = 2.8  + 20 =   22.8

Acute angle   so   sin and cos are positive    and so is cot = cos/sin

sin^2 + cos^2 = 1

cos ^2 = 1- (8/17)² =  225 / 289

cos = 15/17

cot =   cos / sin = .........     

237^o   out of   360^o total arc length

pi d = total arc length    (circumference)

pi * (2* 18)    *  237/360  = .........   inches                   Note that 2 * 18 is the DIAMETER

Sphere volume    =    cylinder volume

4/3 pi (2^3)         = pi 8^2   h

 4/3 (8) = 64 h               I think you can solve it for 'h' from here .....      inches

A     Q II

B     add 2 pi to it      8 pi / 3

C reference angle in Q I     pi/3

D cos x = - 1/2

JUst add the three numbers given

1 1/2   +   1 2/3    +  2  1/5       common denominator  = 30

45/30    +   50 /30   +  66/30 =   161/30 =  5  11/30 miles

Volume of water per hour    = 20 pi 

volume of a cylinder = pi r^2 h

                                  h is 4 meters

                                     pi r^2 4 = 20 pi

                                           r^2 4 = 20

                                             r = sqrt 5   meters