A freeway is being designed in level terrain. The freeway is being designed with design speed of 60 mph. The design speed is expected to be the free flow speed when the freeway opens. Assume that the lanes are 12-ft in width and that there are no lateral obstructions within 6-ft of the roadway. Ramps on this freeway will be spaced 2 miles apart. The expected AADT is 52,000 vehicles with 11% arriving in the peak hour period. A directional split during the peak hour period is expected to be 55% in the heaviest direction. Based on similar freeways in the area, the PHF is expected to be 0.960. Approximately 10% of the vehicles are heavy vehicles (trucks, buses and RVs). The roadway, when open, should operate at an LOS no worse than C. What value should be used for the heavy vehicle factor (give to the nearest 3 decimal places)

Cone w has a radius of 8 cm and a height of 5 cm. square pyramid x has the same base area and height as cone w. paul and manuel disagree on how the volumes of cone w and square pyramid x are related. examine their arguments. which statement explains whose argument is correct and why? paul manuel the volume of square pyramid x is equal to the volume of cone w. this can be proven by finding the base area and volume of cone w, along with the volume of square pyramid x. the base area of cone w is π(r2) = π(82) = 200.96 cm2. the volume of cone w is one third(area of base)(h) = one third third(200.96)(5) = 334.93 cm3. the volume of square pyramid x is one third(area of base)(h) = one third(200.96)(5) = 334.93 cm3. the volume of square pyramid x is three times the volume of cone w. this can be proven by finding the base area and volume of cone w, along with the volume of square pyramid x. the base area of cone w is π(r2) = π(82) = 200.96 cm2. the volume of cone w is one third(area of base)(h) = one third(200.96)(5) = 334.93 cm3. the volume of square pyramid x is (area of base)(h) = (200.96)(5) = 1,004.8 cm3. paul's argument is correct; manuel used the incorrect formula to find the volume of square pyramid x. paul's argument is correct; manuel used the incorrect base area to find the volume of square pyramid x. manuel's argument is correct; paul used the incorrect formula to find the volume of square pyramid x. manuel's argument is correct; paul used the incorrect base area to find the volume of square pyramid x.