Answer:
5571.99
Step-by-step explanation:
We need to use the Pythagorean theorem to solve the problem.
The theorem indicates that,
Once this is defined, we proceed to define the volume of a cone,
Substituting,
We need to find the maximum height, so we proceed to calculate h, by means of its derivative and equalizing 0,
then
<em>We select the positiv value.</em>
We have then,
We can now calculate the maximum volume,
Answer:
Step-by-step explanation:
Given
Interval: (-2,4)
Required
Determine the average rate of change
This is calculated using:
Where:
So, we have:
Calculate g(4) and g(-2)
So:
<em>Hence, the average rate of change is 1</em>
Answer:
Pierre has enough boards and nails to make 9 tables and 5 chairs.
Step-by-step explanation:
Answer: The definition of a complementary angle is "Either of two angles whose sum is 90°." Thus the complementary angle for 4 is angle 5.
P.S. if you feel this answer is satisfactory I would appreciate it if you would mark it brainiest.
Answer:
<em>Thus, the values of x are 70° and 250°</em>
Step-by-step explanation:
<u>Trigonometric Functions</u>
The tangent is defined as:
Given a value for the tangent, there are two angles with the same tangent, one of them being and the other +180°.
We are given:
The angle is the inverse tangent:
Using a scientific calculator, we find the first angle:
x=70°
The second angle is found adding 180°:
x=70°+180°=250°
Thus, the values of x are 70° and 250°