CPhill

C(11, 3)  = 165 different ways

128 / 8  =  16

So

³√16  =  ³√(8 * 2)  =  2 ³√2

Very nice, MG1......!!!!

Write this without the decimal, first = 217

Subtract the non-repeating part from this  =  217 - 2 = 215

Write this over a denominator that has the same number of 9s a the repeating digits  = 99 and the same number of 0s as the non-repeating digits  = 0

So we have

215 / 990  =  43 / 198  {check for yourself that this is equal to the given decimal }

So   .... a = 43 and b = 198     and a + b = 241

Good job.....you are correct.....!!!!

The surface area of the bases =

2 * 6 * (1/2) * 64 sin 60  =  6 * 64 sin 60  = 332.55 sq in

Area of sides = 6 * 8 * 15 = 720 sq in

So  ....332.55 + 720 = 1052.55 sq in

We have....using the Law of Sines.....

sinA / a  = sin B / b

sin A / 7  = sin 49 / 9

So.....

sin^-1 (7 * sin 49 / 9)  = A =  about 35.94°

And C = 180 - 49 - 35.94  = 95.06°

So ..to find c, we have

c / sin 95.06  = 9 / sin 49

c = 9 sin 95.06 / sin 49  = 11.88

Now to see if we have another triangle...... subtract A from 180 

180 - 35.94 = 144.06

Adding this possible angle to B  = 144.06 + 49  >  180

So....only one triangle exists

A = 35.94   a = 7

B = 49        b = 9

C = 95.06  c = 11.88

8382 / 55  =   ???