Suppose you want to put a gable roof on a section of a house that is 62 feet long. The overhang on each side will be 1 foot, so the roof will need to span a total of 64 feet. The roof ridge where two identical rafters will meet will be in the exact middle of the house. So, each rafter will have a horizontal length of 32 feet. If the ridge is 20 feet above the top of the frame of the house, what will be the pitch of the roof? Make sure to give the pitch/slope as a fraction in simplest form.

Since opening night, attendance at play a has increased steadily, while attendance at play b first rose and then fell. equations modeling the daily attendance y at each play are shown below, where x is the number of days since opening night. on what day(s) was the attendance the same at both plays? what was the attendance? play a: y = 8x + 191 play b: y = -x^2 + 26x + 126 a. the attendance was never the same at both plays. b. the attendance was the same on day 5. the attendance was 231 at both plays on that day. c. the attendance was the same on day 13. the attendance was 295 at both plays on that day. d. the attendance was the same on days 5 and 13. the attendance at both plays on those days was 231 and 295 respectively.

Interest begins accruing the date of the transaction except for auto loans mortgages credit card cash advances credit card purchases

Find the perimeter of the triangle with vertices  d(3, 4),  e(8, 7), and  f(5, 9). do not round before calculating the perimeter. after calculating the perimeter, round your answer to the nearest tenth.