find the area and the perimeter of the shaded regions below. give your answer as a completely simplified exact value in terms of π(no approximations). The figures below are based on semicircle or quarter circles and problems(b),(c),(d) are involving portions of a square:

If t17 = 3 (t5) in an arithmetic progression, find t1 in terms of d.

Larry wants to buy some carpeting for his living room. the length of the room is 4 times the width and the total area of the room is 16 square meters. what is the length of the living room

Titus works at a hotel. part of his job is to keep the complimentary pitcher of water at least half full and always with ice. when he starts his shift, the water level shows 4 gallons, or 128 cups of water. as the shift progresses, he records the level of the water every 10 minutes. after 2 hours, he uses a regression calculator to compute an equation for the decrease in water. his equation is w –0.414t + 129.549, where t is the number of minutes and w is the level of water. according to the equation, after about how many minutes would the water level be less than or equal to 64 cups?