Answer:
Step-by-step explanation:
<u>Given:</u>
Area of the base :
Height of cylinder:
<u>The volume is:</u>
- V = Bh
- V = 50.24*3 = 150.72 ft³
Answer:
(2,-9)
Step-by-step explanation:
Set the quadratic equal to zero.

Factor

Set each of these factors to zero

and


and

Plot the midpoint of the two values.

So the middle term is 2 and the other terms are 5 and -1.
Now the vertex is

So the vertex is
(2,-9)
Answer:

Step-by-step explanation:
Given

Required
Find a:b

Cross Multiply

Open brackets

Collect Like Terms


Divide through by -b



Represent as a ratio

Answer:
Correct choice is A
Step-by-step explanation:
If a function has an inverse, then there is at most one x-value for each y-value.
The tangent function is periodic with period
Hence, at each value for which
is defined,
for each integer n. Therefore, the function
does not have an inverse. Since tangent is not a one-to-one function, the domain must be limited. From examining the graph of the tangent function, we see that in each interval of the form

where k is an integer, the tangent function assumes every value in its range. Moreover, in each such interval, each y-value is achieved exactly once. Hence, we can create an invertible function by restricting the domain tangent function to one such interval. Such interval is an interval between two consecutive vertical asymptotes
and 
Answer:
The correct option is (D).
Step-by-step explanation:
A quadrilateral is a parallelogram if the following conditions are met:
- If two pairs of opposites are equal in length.
- If two opposite sides are parallel to each other and are equal.
- If the diagonals bisect each other in equal halves.
So, for a parallelogram the opposite sides are equivalent in length.
From the provided length of 4 sides of a quadrilateral, consider the sides provided by option D.
4, 9, 9, 4
Two sides are of length 4 units and two of 9 units.
According to condition 1, the sides {4, 9, 9, 4} can form a parallelogram.
Thus, the correct option is (D).