
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:
The volume of hemisphere is <u>19.4 cubic meter</u>.
Step-by-step explanation:
Given:
A hemisphere is with a radius of 2.1 m.
Now, to find the hemisphere volume with radius 2.1 m.

So, we put formula to get the volume of hemisphere:

<u><em>Hence, the rounded to the nearest tenth of a cubic meter is 19.4 cubic meter.</em></u>
Therefore, the volume of hemisphere is 19.4 cubic meter.
Answer:
x = 9cm
Step-by-step explanation:
This is a right triangle so we can use the Pythagorean theorem
a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse
6^2 + x^2 = ( sqrt(117) ^2)
36 + x^2 = 117
Subtract 36 from each side
x^2 = 117 -36
x^2 = 81
Take the square root of each side
sqrt(x^2) = sqrt(81)
x = 9
im sure it would be 2:4. if it was to be simplified it would be 1:2