Answer:
173.4
Step-by-step explanation:
Surface area of the cone=pi*r*l+pi*r^2=pi*(4)*(9.8+4)=173.4
Answer:
34191.7πin³/sec
Step-by-step explanation:
Volume of circular come = 1/3pi x r² x h
When we differentiate this formula we have
dv/dt = 1/3π[r²dh/dt + 2rhdr/dt]
We have the following information
r = 138
H = 143 inch
dr/dt = 1.4
dh/dt = -2.8
When we plug into the formula
1/3π[130² x -2.8 + 2x138x143x1.4]
= 34191.7πin³/sec
Answer:
A. <u><em>X = 15</em></u> is the correct answer.
Step-by-step explanation:
It's the only one that really makes sense.
Hope this helped :)
Answer:
- digits used once: 12
- repeated digits: 128
Step-by-step explanation:
In order for a number to be divisible by 4, its last two digits must be divisible by 4. This will be the case if either of these conditions holds:
- the ones digit is an even multiple of 2, and the tens digit is even
- the ones digit is an odd multiple of 2, and the tens digit is odd.
We must count the ways these conditions can be met with the given digits.
__
Since we only have even numbers to work with, the ones digit must be an even multiple of 2: 4 or 8. (The tens digit cannot be odd.) The digits 4 and 8 comprise half of the available digits, so half of all possible numbers made from these digits will be divisible by 4.
<h3>digits used once</h3>
If the numbers must use each digit exactly once, there will be 4! = 24 of them. 24/2 = 12 of these 4-digit numbers will be divisible by 4.
<h3>repeated digits</h3>
Each of the four digits can have any of four values, so there will be 4^4 = 256 possible 4-digit numbers. Of these, 256/2 = 128 will be divisible by 4.
The denominator is 4 and the numerioar to make factor 1/2 would be 4/8 then 1/2
