Q1:

Azelastine hydrochloride is an antihistamine nasal spray. A standard size container holds one fluid ounce (oz.) of the liquid. You are searching for this medication in a European drugstore and are asked how many milliliters (mL) there are in one fluid ounce. Using the following conversion factors, determine the number of milliliters in a volume of 1.27 fluid ounces: 1 gallon (gal) = 128 oz., 3.785 x 10-3 cubic meters (m3) = 1 gal, 1 ml = 10-6 m3. Number Units mLA partly-full paint can has 0.624 U.S. gallons of paint left in it. (a) What is the volume of the paint, in cubic meters? (b) If all the remaining paint is used to coat a wall evenly (wall area = 11.1 m2), how thick is the layer of wet paint? Give your answer in meters. (a) Number l Units :- (b) Number a Units #- A highway is to be built between two towns, one of which lies 38.8 km south and 74.1 km west of the other. (a) What is the shortest length of highway that can be built between the two towns, and (b) at what angle would this highway be directed, as a positive angle with respect to due west? {D (a) Number Units 1? (b) Number Units The drawing shows a person looking at a building on top of which an antenna is mounted. The horizontal distance between the person's eyes and the building is 97.0 m. In part a the person is looking at the base of the antenna, and his line of sight makes an angle of 300 with the horizontal. In part b the person is looking at the top of the antenna, and his line of sight makes an angle of 33.0 with the horizontal. How tall is the antenna? An aerialist on a high platform holds onto a trapeze attached to a support by an 6.1-m cord. (See the drawing.) Just before he jumps off the platform, the cord makes an angle of 420 with the vertical. He jumps, swings down, then back up, releasing the trapeze at the instant it is 0.65 m below its initial height. Calculate the angle 0 that the trapeze cord makes with the vertical at this instant. 0 42 6.1m 0.65m Number i Units