Answer:
The height of the cone is h = 27
Step-by-step explanation:
<u>Formula:</u>-
Step 1:-
The volume of the cone is
Given volume is V= 45 in^ 3
Given base of the cone is B= 5 in^2
<u>Step 2</u>:-
by using formula, we get solution
cross multiplication, we get
now simplification, the height of the cone is h = 27
Answer:
10β
Step-by-step explanation:
We can find this two ways, first by seeing in the step after it, cosines are canceled out. Since you already have 10β
on the next step, you can assume that (since only the cosines changed and the cosine next ot the blank was removed), the value is 10
β
.
You can also use double angle formulas from the previous step:
(sin(2β) = 2 sin(β) cos(β))and find that:
5 sin (2β) sin(β) = 5 * (2 sin(β) cos(β)) sin(β)) = (10 sin(β) sin(β)) cos(β) =
10β
cos(β)
But since cos(β) is already present, we can see that the answer is 10β
Answer: 2185
Step-by-step explanation:
Let p be the proportion of visitors are campers.
Given : The Tennessee Tourism Institute (TTI) plans to sample information center visitors entering the state to learn the fraction of visitors who plan to camp in the state.
The prior proportion of visitors are campers : p=0.35
Allowable error : E= 2%= 0.02
We know that the z-value for 95% confidence =
Then by Central Limit Theorem , the required sample size would be :
Simply , we get
[Rounded to the next whole number.]
Hence, the smallest sample size to estimate the population proportion of campers =2185