Answer:
Isolate the variable by dividing each side by factors that don't contain the variable.
Inequality Form: x < 3
Interval Notation: (-∞, 3)
Answer:
Final answer is approx 6.644 years.
Step-by-step explanation:
Answer:

Step-by-step explanation:
If we drew an auxiliary line parallel to line
and line
that intersects the vertex of
, we would form three angles, one of them being
The largest of these angles corresponds with the angle marked as
.
The angle on the bottom right corresponds with the angle next to the one marked as
. Therefore, its measure is
.
Since there are
in a circle, we can now write the following equation:
.
Answer:
The volume of the sphere is 14m³
Step-by-step explanation:
Given
Volume of the cylinder = 
Required
Volume of the sphere
Given that the volume of the cylinder is 21, the first step is to solve for the radius of the cylinder;
<em>Using the volume formula of a cylinder</em>
The formula goes thus

Substitute 21 for V; this gives

Divide both sides by h


The next step is to solve for the volume of the sphere using the following formula;

Divide both sides by r

Expand Expression

Substitute 



Multiply both sided by r

------ equation 1
From the question, we were given that the height of the cylinder and the sphere have equal value;
This implies that the height of the cylinder equals the diameter of the sphere. In other words
, where D represents diameter of the sphere
Recall that 
So, 

Substitute 2r for h in equation 1



Hence, the volume of the sphere is 14m³
Answer:
16. q
17. -4
18. 0
Step-by-step explanation:
16. q
17. -4
18. 0