Answer:
6. = A.
5. = B.
4. = C.
Step-by-step explanation:
Answer:
The volume of cylinder and the volume of a cone, have equal volume measurements. So, the answer is C).
Step-by-step explanation:
Cylinder:
-Use the formula for the volume of a cylinder. Use both the radius and height for the formula in order to solve and get the volume:


-Solve:




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Cone:
-Use the formula for the volume of a cone and the radius and height for the formula and solve the formula to get the volume:


-Solve:





-So, according to the volume of a cylinder and the volume of a cone, They both have the same volume.
Cylinder:

Cone:

The pentagon's area is the sum of the 5 triangles that comprise it. This is

where the factor of 2 accounts for the top and bottom. The walls have an area of 5 rectangles
9514 1404 393
Answer:
D) x and ( y z + 1 2 ) are independent of each other
Step-by-step explanation:
Assuming this is not intended to be describing a function named x with an argument of yz+12, the variables in any expression are assumed to be independent of each other, unless additional information is provided showing their dependencies.
Here, there is no such additional information, so we must assume ...
x and (yz +12) are independent of each other
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<em>Additional comment</em>
The assumption stated in the answer is intended to ensure we're not concerned with something of the form ...
g(x)
which is an expression saying 'g' is dependent on 'x'. If we know 'g' is a function name, then g(yz+12) will make 'g' be dependent on (yz+12).
Similarly, if x(a) is intended to mean that x is a function of 'a', then the corresponding x(yz+12) will mean that x is dependent on (yz+12). This would be quite unusual, since letters toward the end of the alphabet are usually used for variable names, while letters in the middle of the alphabet are used for function names.