Esther's company has been contracted to lay carpet in a room at a new observatory. The floor plan for the room is in the shape of a regular pentagon and has measurements as shown in the diagram below. Use complete sentences to explain how to find the area that Esther's company will carpet? Do not forget the units in your final answer.

The equation x2 – 1x – 90 = 0 has solutions {a, b}. what is a + b?

In the geometric progression –3, 12, −48… what term is 3,072?

Sarah took the advertising department from her company on a round trip to meet with a potential client. including sarah a total of 11 people took the trip. she was able to purchase coach tickets for $280 and first class tickets for $1280. she used her total budget for airfare for the trip, which was $6080. how many first class tickets did she buy? how many coach tickets did she buy?