Answer:
Sin 90 = 1/1 = 1
Use trigonometry formula and a triangle with lengths of 1

The infinite geometric series is converges if |r| < 1.
We have r=1/6 < 1, therefore our infinite geometric series is converges.
The sum S of an infinite geometric series with |r| < 1 is given by the formula :

We have:

substitute:

Answer: d. Converges, 504.
Answer:
40
Step-by-step explanation:
a+b=c
a=girls
b= boys
c= total
the statement tell us:
4/5 of a class is girls:
a=(4/5)*c
boys=b=8
c=a+b
so we have:
c=(4/5)*c + 8
c-(4/5)*c=8
(5c-4c)/5 = 8
c/5=8
c=8*5
c=40
total=40
Answer:
C) x2 + x = 306
Step-by-step explanation:
x2 + x = 306
x2 + x - 306 = 0
x2 + 18x - 17x + 18 * (-17) = 0
x ( x + 18) - 17 (x +18) =0
(x + 18) (x - 17 ) = 0
x = -18 or 17
Answer:
it is a it the first one. 7/13