Given:
Radius of the cone = 3 inches
Height of the cone = 8 inches
To find:
The volume of the cone, in terms of π.
Solution:
We know that, the volume of a cone is:

Putting
, we get




Therefore, the volume of the cone is
.
Answer:
domain is the max and min x values
range is the max and min y values
Step-by-step explanation:
The inverse is (x-2)/3 so the answer is f(x)=0
Answer:
Exact value of Cos(45° - 60°) is 0.96 using difference of two angles.
Step-by-step explanation:
Given:
Cos(45° - 60°)
We have to apply the formula of cosine for difference of the two angles.
Formula:

Plugging the values.
⇒ 
We know that the values :
and 
So,
⇒ 
⇒ 
⇒ 
⇒
...<em>rationalizing </em>
⇒ 
⇒
...<em>taking 2 as a common factor</em>
<em>⇒ </em>
To find the exact values we have to put the values of sq-rt .
As<em>, </em>
and 
Then
<em>⇒ </em>
<em />
<em>⇒ </em>
<em />
⇒ 
So the exact value of Cos(45° - 60°) is 0.96 using difference of two angles.
(x + 7) (x - 4)
First, apply the FOIL method (a + b) (c + d) = ac + ad + bc + bd / Your problem should look like:

- 4x + 7x - 28
Second, gather the like terms. / Your problem should look like:

+ (-4x + 7x) - 28
Third, simplify. / Your problem should look like:

+ 3x - 28
Answer:
+ 3x - 28