Answer:
(D) 30pi inches
Step-by-step explanation:
First, we use the given volume, the given height, and the formula of the volume of a cylinder to find the radius of the base. Then we use the radius of the base to find the circumference of the base.
We set the formula equal to the volume and replace h with 30 in.
Divide both sides by 30pi in.
Take the square root of each side.
The radius of the base is 15 in.
Now we use the radius of the base and the formula of the circumference of a circle to find the answer.
Answer:
<20,23>
Step-by-step explanation:
u= <4,5> and v= <0,-1>
2v = 2*<0,-1> = <0,-2>
5u = 5* <4,5> = <20,25>
2v+5u = <0,-2> + <20,25>
= <20,23>
Answer:
Perimeter of A'B'C'D' = 9 units
Step-by-step explanation:
Given:
Perimeter of ABCD = 27 units
Scale factor = 1 / 3
Find:
Perimeter of A'B'C'D'
Computation:
Perimeter of A'B'C'D' = 1/3[Perimeter of ABCD]
Perimeter of A'B'C'D' = 1/3[27]
Perimeter of A'B'C'D' = 9 units
1.50 pounds.
(dont have pound symbol, only $)
I can't make out the summand in (d), and I addressed (c) in your other question.
(a)
We have for positive integers
that
. We also are aware that the series
converges, since it is a
-series with
. Since the
-series converges in absolute value, the alternating series must also converge by comparison.
- - -
(b)
By the alternating series test, this series will converge if the absolute value of the summand is increasing for some large enough
and approaches zero.
We have
for all
, and we also have that
(where we substituted
, so that
).
Therefore (b) also converges.
