we know that given terms were i geometric progression.
which means common ratio is same between two consecutive terms .
here we have 8,40,200,1000.
we know that common ratio =second term/first term =40/8=5.
so each and every terms is multiplied by 5 to get next term for this series the term after 1000 is 5000 =1000*5.
in part b we have another series which is having common ratio of -2.
so we need to multiply with -2 to find next term.
80*(-2)=-160.
for part c the common ratio is -2 .
so we need to multiply with -2 *previous term =-2*16 =-32.
ANSWER
The required angle is

EXPLANATION
Let the angle whose sine is

be

Then

We take the inverse sign of both sides to obtain,

We use our scientific calculator to evaluate and obtain,
No the product will not be greater then one half if you multiply those two fractions your will get 1/4 there for your answer will not be greater
Answer is 1/4
Answer: 
Step-by-step explanation:
The area of a rectangle can be calculated with this formula:

Where "l" is the length and "w" is the width.
You can identify from the figure that the length and the width of this rectangle are:

Then, you need to substitute this lenght and this width into
:

Now, apply Distributive property:

Finally, you need to add the like terms. Then, you get:
