A pentagonal prism has a base area of 124 square inches. The lateral area (area of the sides) is made up of 5 equal-sized rectangles that are each 80 square inches. What is the surface area of the pentagonal prism?

Prism

Total surface area of the pentagonal prism is 648 square inches

Step-by-step explanation:

In geometry, a pentagon is defined as a five-sided polygon. In a simple pentagon the sum of the internal angles is 540°.

The pentagon base area = 124 square inches

In a pentagonal prism there are two such surfaces  (top & bottom)

Hence the area of two pentagons = 124 × 2 = 248 square inches

The lateral area (area of the sides) is made up of 5 equal-sized rectangles

Area of one such rectangle is 80 square inches

Area of five such rectangle is 80 × 5 = 400 square inches

Total surface area of the pentagonal prism = 248 + 400 = 648 square inches

Hence, Total surface area of the pentagonal prism is 648 square inches

a) one student is chosen from classroom a, then a student is chosen from classroom b.  

step-by-step explanation:

independent events are ones in which the probability of one event does not affect the probability of the second event.

one student is chosen from classroom a; this does not affect the chances of choosing a student from classroom b.   this makes these independent events.

when one card is chosen from a standard deck and then set aside before a second card is chosen, the probability of the second card being chosen changes.   this makes them dependent events.

when one student is chosen from classroom a and then a second student is chosen from classroom a, the probability of choosing the second student changes.   this makes them dependent events.

when a letter is chosen from the alphabet and then a second letter is chosen, the probability of choosing the second letter changes.   this makes them dependent events.