14. A stair stringer is to be cut to reach a 2nd story floor in a house with nine foot ceilings. The distance from the 1st to the 2nd floor can be calculated by adding up the height of each material Bottom plate 1 2 stud 104 , two top plates 17 each, floor joist 11 3 and subflor Construction code stipulates that each rise cannot exceed eight inches and must be equal so that the stair case willnot be a trip hazard. Calculate the number of rises and the height of each rise (round and eight inches. 8 ed to the nearest 16th of an inch) for all possible designs where the rise is between six subfloor floor joist top plates stud rise bottom plate stringer 36

31. Prove that the length of the line segment drawn from any vertex of an equilateral triangle to a point on the opposite side is less than the length of any side of the triangle.

1. A student drives 15 miles west from home and then 30 miles north to go to work. How much shorter would the trip be if it was possible to drive along a straight line from home to work. ety

Angelo, Neveah, and Alexei decide to buy lottery tickets, agreeing to share any 1 which is in the same ratio as they spent on tickets. If 6 8' $11, 300, calculate how much each should receive from the winnings in a ratio of they end up winning winnings. a) Angelo's: $ b) Neveah's: $ c) Alexei's: $ esc s lock Next Question control 1 1 1 TOT F : 2: A 2 Z option W S # 3 20 E D 民 64 command abe 888 R 70 C 07 2 5 TI F FB MacBook > 0 G

19.) A certain type of linoleum costs $20 per square yard. ACcording to the dimensions shown in the diagram below, how much will it cost to completely cover the dining room and kitchen floors with linoleum? 4 yards Kitchen З yards 9 yards 4 yards Dining Room 19.) _