The Museum Board of Directors would like to remodel a circular deck for the outside eatery that has a current radius of 22 ½ feet to a circular deck with a diameter of 67 feet. Determine by how much the circumference and area of deck will increase. Show your work and justify your reasoning. For pi, use 3.14 and round your solutions to the nearest hundredth.

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Which situation can be modeled by the inequality 5 + 10w ≥ 45? a. you start with $5 and save $10 a week until you have at least $45. b. you start with 5 baseball cards and purchase 10 cards every week until you have at most 45 cards. c. you start with 5 water bottles and purchases cases of 10 water bottles each until you have a total of 45 water bottles. d. you spend $5 plus $10 per week until you have less than $45.

35 ! insert < , > , or = to make the sentence true. 12 __ 25 > =

Is a triangle with sides of length 6ft, 21 ft, 23 ft. a right triangle?