Answer:
A. 300π units³
Step-by-step explanation:
Formula for volume of a cone = ⅓πr²h
Where,
radius (r) = ½(10) = 5 units
height (h) = 36 units
Plug in the values and find the volume in terms of π
Volume of the cone = ⅓*π*5²*36
Volume of the cone = 300π units³
Answer:

Step-by-step explanation:
<u>Rational Inequality</u>
We are given the solution of rational inequality:
(-2,-1) U (1,∞)
The first set suggests a limited zone than can be obtained by a quadratic equation of the form:

Where a and b are the roots of the equation, which coincide with the endpoints of the interval. Thus, to get the interval, we can use:

Operating:

The second set is an open infinite interval, that can be modeled as a third binomial that changes signs in x=1 and is in the denominator, so x=1 is not included.
Thus, one possible inequality is:

90 minutes because 20 + 20 + 20 + 20 + 10 = 90
For this case we have that by definition, the equation of a line in the slope-intersection form is given by:
Where:
m: Is the slope
b: Is the cut-off point with the y axis
According to the data of the statement we have to:

Then, the equation is of the form:

We substitute the point
and find "b":

Thus, the equation is of the form:

To graph we substitute the points on the coordinate axis:

For
:

For
:

Answer:

See attached image
Answer:
z = -3.05.
Step-by-step explanation:
-5z= 15.25 Divide both sides by -5:
z = 15.25 / -5
z = -3.05.