The two angles are vertical angles so they are congruent.
3x+18=5x
2x=18
x=9
Answer:
33.75 cubic inches of styrofoam can be placed inside the container.
Step-by-step explanation:
Based on given information, the volume of the prism (
), in cubic inches, is determined by using this formula:
(1)
Where:
- Base of the triangular face, in inches.
- Height of the triangular face, in inches.
- Length of the prism, in inches.
If we know that
,
and
, then the volume of the prism is:


33.75 cubic inches of styrofoam can be placed inside the container.

Write

, and recall that for a differentiable function

, the derivative at a point

is given by

which would suggest that for this limit,

and

. We have

, and so the value of the limit would be

.
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