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Here is how to work the problems and write the expressions.
Answer:
Distance to appointment point = 5 miles
Step-by-step explanation:
Let s be the distance to the appointment point,
We have Maria drove to a business appointment at 50mph in the morning.
Time taken in the morning
Her average speed on the return trip in the afternoon was 40 mph.
Time taken in the afternoon
Given that the return trip took 1/4hr longer because of traffic.
That is
Substituting
Distance to appointment point = 5 miles
defines an ellipse centered at
I've attached a graphic of what a sample section would look like.
Any such isosceles triangle will have a hypotenuse that occurs in a
Now the legs form a similar triangle with the height of the triangle, where the legs of the larger triangle section are the hypotenuses and the height is one of the legs. This means the height of the triangular section is
Finally,
and so the volume would be
