Answer:

Step-by-step explanation:
There was no figure but the question is clear
Volume of a cylinder is given by the formula
where r is radius of base of cylinder, h is the height
Volume of a cone is given by 
where r is the radius of base of cone, h is the height
The radius of the cylinder =
(diameter) =
(12) = 6cm
Height of cylinder = 15cm
Volume of cylinder 
Radius of cone =
(radius of cylinder) =
(6) = 3 cm
Height of cone same as height of cylinder = 15cm
Volume of cone, 
Difference is the volume of the remaining solid

Answer:
3) yes, it is in the shaded region
4) no, it lies on a less-than line
5) yes, it lies on a greater-than-or-equal-to line
6) no, it isnt in the shaded region
Step-by-step explanation:
Answer:
Step-by-step explanation:
m (x) = (x+ 5) / (x -1) and n(x) = x - 3.

Hence

but n is a function and n = x-3. Now, replace value of n on m (n)

simplify it

since (m . n) (x) is a fraction function, its domain will be all x such that the denominator is NOT 0. That is

among options, only C has the same denominator with 
Hence their domains are the same.
I did the math and what i got was x=116
9514 1404 393
Answer:
49°
Step-by-step explanation:
The sum of angles in a triangle is 180°.
∠A +∠B +∠C = 180
(x +32) +(x +41) +(3x +22) = 180 . . . . angles assumed to be in degrees
5x +95 = 180
5x = 85
x = 17
x +32 = 49 . . . . measure of ∠A