The bases of the triangular prism T and rectangular prism R lie in the same plane. A plane 3 units from the bases and parallel to the bases creates the cross-sections T and R. Apply Cavalieri's principle to determine which statements are correct.
A)
Area(T) =16.5 units2
B)
Area(R) = 15 units2
Vol(t) = 105 units3
D)
Vol(R) = 82.5 units3
E)
Area(T) = Area(R)

Solve 5 tan x = 5√(3) for 0° ≤ x ≤ 180°. a. 60° b. 150° c. 30° d. 120°

Asmall foreign car gete 42 miles per gallon and user 35 gallons on a trip. gasoline costs $1.05 per gallon. what was the cost of gasoline per mile driver?

Hye ryung is the president of the local chapter of the american medical students association (amsa). she is organizing local outreach and informational meetings. at her first meeting there are five people present (including herself). every month after that her group grows by 5 people. a. how many members are in the group after 6 months? b. the logistics of hosting and feeding her group at meetings was more complicated than expected. the cost of feeding 5 people at her first meeting was $30, for 10 people it was $35, for 15 it was $45, and after 6 months all of the costs had added up to $100. write a function to model the cost with the number of people attending meetings. c. what connections can you make between the linear growth of the group’s membership and the increasing costs of running meetings?