AR Exit Fullscreen Complete all questions with ALL FORMULAS, STEPS, CALCULATIONS AND ROUGH WORK shown for full marks. 1. [3] Given AABC, A = 15, B = 90, and side a = 17 cm. Find the length of side "b" to one decimal. A b B a C 2. [6] Solve the following triangles for the missing side or the missing angle: a. 23 310 X b. MacBook AirExit Fullscreen 310 X b. 22 53 3. [5] Fatima is flying a kite which has a string that Is 12m long. The kite is flying at an angle of 34 to the ground. How high above the ground is the kite? Include a diagram.where h is the height in feet and t is the time inksecondsen a. What is the maximum height of the cannonball? b. Why do we know that the height is maximum? c. At what time does the maximum occur? d. What is the initial height of the cannonball? 19. [7] Simplify and evaluate the following exponential expressions: a. 32 x 3-2 x 32 b. 5-2 : 5x 55 c. (3 xy 2) 2 : xy2 MacBook Air 44 FB F7*K Exit Fullscreen c. At what time does the maximum occur? d. What is the initial height of the cannonball? 19. [7] Simplify and evaluate the following exponential expressions: a. 32 x 3-2 x 32 b. 5-2 : 5 x 55 c. (3 xy 2) 2 : xy2 /21 MacBook Air DII FO F7 FB 80 888 F6 delete &AR Exit Fullscreen goalie likely let in? 4. [3] A soccer goalie has saved 14 shots and let in one goal. Out of 90 shots on net, how many goals will the 5. [3] A stable has 15 horses for trail rides. Of these horses, 6 are brown, 5 are white, and the rest are black. If Jasmine selects one horse at random, what are the probabilities? a. Probability of a black horse? b. Probability of not a white horse? c. Probability of a white or black horse? 6. [6] What are the following probabilities? a. Probability of rolling a sum of 9 with two dice? MacBook Air DII DD6. [6] What are the following probabilities? Exit Fullscreen a. Probability of rolling a sum of 9 with two dice? b. Probability tossing a tail with a coin? c. Probability of drawing a spade from a deck of cards? d. Probability of drawing the three of spades? e. Probability of drawing a face card? f. Probability of rolling a sum greater than 8 with two dice? 7. [2] Kyle shoots a free throw attempt and makes it. The path of the ball's flight is modeled by the equation, h = -0.42( d - 6) + 15, "d" is the horizontal distance in feet and "h" is the height in feet. a. What is the maximum height of a basketball? MacBook Air DD DII F97. [2] Kyle shoots a free throw attempt and makes it. AR Exit Fullscreen The path of the ball's flight is modeled by the equation, h = -0.42( d - 6 )2 + 15, "d" is the horizontal distance in feet and "h" is the height in feet. a. What is the maximum height of a basketball? b. How far horizontally from Kyle has the ball travelled when it reaches its maximum height? /14 8. [8] Graph the following parabolas using the vertex and step pattern. b. y= -2(x- 1)2+10 a. y = (x+3)2 - 2 MacBook Air DD DIIExit Fullscreen 8. [8] Graph the following parabolas using the vertex and step pattern. a. y = (x+3)2 - 2 b. y = -2(x - 1 )2+10 9. [3] Describe the transformations of the original base graph, y = x2, to give the new graph of, y = -2( x - 4 )2 - 9. 10. [1] What is the y-intercept of the quadratic relation, y = x2 - 8x + 27? MacBook AirExit Fullscreen 10. [1] What is the y-intercept of the quadratic relation, y = x2 - 8x + 27? 11. [4] Expand and simplify the following binomial products. a. ( 3x + 1 )( 2x - 5 ) b. (5x- 1) (x- 7) 12. [8] Factor. each of the following quadratic relations. a. x2 - 7x +10 C. x2 + 14x + 40 d. x2 + 6x -27 b. x2 - 3x - 10 MacBook Air DOK Exit Fullscreen 13. [3] What are the zeros of the quadratic relation, x2 + 9x + 14 = 0? 14. [4] The heights of five students whose birthdays are in January are given below. 175 cm, 178 cm, 156 cm, 145 cm, 167 cm a. Find the mean height of the students? b. Find the median height of the students MacBook Air DOExit Fullscreen 15. [2] If the mean of monthly precipitation is 12 cm and the standard deviation is 3.4 cm, does a measurement of 17.1 cm in a given month fall within two standard deviations of the mean? Show your work. 16. [1] Sketch a probability distribution that represents a bimodal distribution. /10 MacBook Air DD DIIA Exit Fullscreen 17. [5] From a point 28m from the base of the building, a surveyor measures the angles of elevation to the top of the building to be 32. The device that measures the angle of elevation is 1.5m above the ground. Determine the height of the building to the nearest tenth of a metre. Draw a diagram. 18. [9] A cannonball is shot into the air. It's height can be described by the equation h = -2.5(t - 7)2 + 234, where h is the height in feet and t is the time in seconds. a. What is the maximum height of the cannonball? b. Why do we know that the height is maximum? MacBook Air DII FB