the answer is C.12.1 units
the volume of a cone with a height of 27cm and a radius of 13cm is 4748.36242611007.Then you round it to the nearest tenth which would be 4,778.4 which would be the answer
you work out that by v=PI radius squared height divided by 3
Answer:
and

Step-by-step explanation:
Assume that Mike bought only cookies and hot dogs.
The total can be represented as:
--- (1)
And the amount spent can be represented as:
--- (2)
Required
Determine the system of equation
Let c represents the number of cookies and h, number of hot dogs.
implies 
And
Cost of cookies = 0.75 * c
Cost of hot dogs = 1.10 * h
So, we have:

Hence, the equations are:
and

Solving for c and h
Make c the subject in 

Substitute 5 - h for c in 



Collect Like Terms


Solve for h


-- approximated
Recall that:




= 7.348469228
this is irrational, because it cannot be written in the form

2. Irrational
Answer:
option (b) 0.0228
Step-by-step explanation:
Data provided in the question:
Sample size, n = 100
Sample mean, μ = $20
Standard deviation, s = $5
Confidence interval = between $19 and $21
Now,
Confidence interval = μ ± 
thus,
Upper limit of the Confidence interval = μ + 
or
$21 = $20 + 
or
z = 2
Now,
P(z = 2) = 0.02275 [From standard z vs p value table]
or
P(z = 2) ≈ 0.0228
Hence,
the correct answer is option (b) 0.0228