15. The tendency of matter to change its shape, area, volume, and density in response to a change in temperature, usually not including phase transitions. a. Thermal conductivity c. Thermal expansion b. Creep d. Temperature gradient 16. Solve for x, y, and z from the following simultaneous equations. z'z' = 100000 (zx)y = 100000 zx <= 10 ᏃᎩ a. 10, 100, and 1000 b. 5/3, 5/2, and 15.84 c. 15.84, 5/3, and 5/2 d. 5/2, 5/3, and 15.84 17. Solve for x from x √√x+√√9- -X a. 18 x + 24 √√x-√9-x√x c. 6 22. The value of sin (45) i a. The square root of b. The cube root of t c. Two divided by sq d. The square of two 23. Find the area of a tr inches. a 11.05 sq. inches b. 16.25 cu. inches 24. If the height of a pol its shadow is 2 meter of the sun. a. 50° b. 55° 25. A ship travels due e starting point. It the an angle of 65° and sight from the sta south of east. At t its starting point? a. 10000 m b. 6 and 18 d. None of these 18. A tank is supplied by two pipes A and B and emptied by a third pipe C. If the tank is initially empty and all pipes are opened, the tank can be filled in 20 hours. If the tank is initially full and A and C are opened, the tank can be emptied in 4 hours. If the tank is initially full and B and C are opened, the tank can be emptied in 2 hours. Pipe A supplies 50 liters per minute more than B. Find the rate of pipe A in liters per minute. a. 110 b. 60 c. 160 d. 12000 19. In a class experiment, a student needs 5 liters of 6% solution. He found a 4% and a 10% solution in the laboratory. How many liters of each solution should he mix in order to obtain 5 liters of 6% solution? a. 1.33 liters of 4% and 3.67 liters of 10% solution b. 1.67 liters of 4% and 3.33 liters of 10% solution c. 3.67 liters of 4% and 1.33 liters of 10% solution d. 3.33 liters of 4% and 1.67 liters of 10% solution 20. A cat takes 4 leaps to a dog's 3; but 2 of the dog's leaps are equivalent to 3 of the cat's. The cat has a start of 50 leaps. How many leaps must the dog take to catch the cat? a. 400 b. 200 c. 100 d. 300 21. Using SIN-TAAD rule, solve for angle A of a spherical triangle whose parts are a-73°, b-62°, and C = 90°. a. 73° b. 82.11° c. 63.05° d. 74.89° b. 13500 m 26. Calculate the surf of 5 meters. a. 78.53 m² b. 78.53 m³ 27. You own a Rub What is the edg a. 70.0 cm b. 700 cm 28. What is the tria A(-2, 2), B(2, a. Right trian b. Equilateral 29. Find the slop formed by the a. -4/7 b. -4/3 c. -5/3 d. -4/5 30. Find the equ perpendicula a. y=(2/3) b. y-(4/3) c. y=(5/3) d. y(x)+ 31. Find the m the parabol a. √3 b. 4√3