Two parallel lines are cut by a transversal and two of the same-side interior angles formed have measures of (4x + 3) degrees an
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Explanation:
↓↓↓↓↓↓↓↓↓↓
First, subtract by 4 from both sides.
Second, simplify.
Third, divide by -1 from both sides.
Fourth, simplify.
Next, add by 3 from both sides.
Then simplify.
Therefore, divide by 2 from both sides.
Finally, simplify.
<u><em>Answer⇒⇒⇒⇒x=2</em></u>
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-Charlie
Answer:
The volume of the cone is changing at a rate of approximately 8670.796 cubic inches per second.
Step-by-step explanation:
Geometrically speaking, the volume of the right circular cone (), in cubic inches, is defined by the following formula:
(1)
Where:
- Radius, in inches.
- Height, in inches.
Then, we derive an expression for the rate of change of the volume (), in cubic inches per second, by derivatives:
(2)
Where:
- Rate of change of the radius, in inches per second.
- Rate of change of the height, in inches per second.
If we know that ,
,
and
, then the rate of change of the volume is:
The volume of the cone is changing at a rate of approximately 8670.796 cubic inches per second.