51. In a typical month 1/2 of the UFOsightings in California State areattributable to airplanes and 1/3 of theremaining sightings are attributable toweather balloons. If there were 108sightings during one typical month,how many would be attributable toweather balloons?a. 36b. 54c. 18d. 2452. In a quadratic equation. If the quantityunder the radical is equal “0”, theroots are:53. Tony went to a drugstore. He bought abottle of aspirin cost Php 1.25 more thanTylenol. He also bought cologne which costtwice as much as the total of the other twocombined. How much did the Tylenol cost ifhis total bill(without tax) was Php 24.75?54. Find two positive numbers whose sumis 8 if the product of one number bythe cube of the other number is tobe___.55. The angle of elevation of the top oftower B from the top of the tower A is28° and the angle of elevation of thetop of tower A from the base of thetower B is 46°. the two towers lie inthe same horizontal plane. If theheight of the tower B is 120 m, findthe height of tower A.a. 87.2 mb. 79.3 m c. 90.7 mfd. 66.3 m56. If the volume of the cube is increasingat a rate of 5 cu.m per minute, findthe rate at which the surface area isincreasing in sq.m per minute whenits side is 10 m.

57. The volume of water in a sphericaltank having a diameter of 4 m is5.236 m3. Determine the depth of thewater in the tank.58. Find the area of the triangle which theline 4x-6y+12=0 forms with thecoordinates axes.59. It is an increased pressure developedon impact with a pitot tube as result oflocalized kinetic energy reduction tozero.a. critical pressure b. saturation pressurec. stagnation pressured. vacuum pressure60. Two numbers differ by 40 and theirarithmetic mean exceeds theirgeometric mean by 2. What is thesmaller number?61. A triangle has a variable sides x,y,zsubject to the constraint such that theperimeter P is fixed to 18 cm. What isthe maximum possible area for thetriangle?62. On what plane is the Mollier diagramplotted?63. The measure of the ability to transferheat to other bodies based on areference temperature where a bodyis given up all the thermal energy itpossibly can;a. zero pressure b. gage pressurec. vacuum pressured. absolute temperature

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