Assignment #1: Math Review (Read p. 26-37) 100 Points Problems 1 - 11. Show all your work when solving the problems. 1 ) 49x = 623 (3 points) 2) x/13 = 432 (3 points) 3) x/6 + 9 = 830 (3 points) 4) 15(8-x) = 17(7x-23) (3 points) 5) 1065x2 = 22 (3 points) 6) 12x/6 - 8/9 = 127 (3 points) 7) d = (1/2)at2 Solve for t in terms of a and d (5 points)8) vi = 2ad Solve for d in terms of Vs and a (5 points) 9) Calculate the following: (6 points) a. cos 370 = b. sin 110 = c. tan 740 = 10) Solve for x in the following: (6 points) a. cos 650 = x/21 b. sin 820 = x/6 c. sin 150 = 87/x 11) Solve for theta (0) in the following: (6 points) a. cos 0 = 0.652 b. sin 0 = 0.090 c. tan 0 = 3.0812) A new trail leads a hiker down a path, which winds 5 km due east, 3 km north, 2 km east, and 11 km south. How far did the hiker travel? How far (as the crow ftlies) is the hiker from the starting point? (Show all your work, including the units) (6 points) 13) The length of the hypotenuse of the right triangle shown below is 68 meters. What are the lengths of the other two sides? (Show all your work, including the equation and units) (6 points) 14) A shot putter releases the shot with a velocity of 23 m/s at an angle of 28 degrees counterclockwise with the right horizontal. How fast was the shot traveling vertically and horizontally? (Show all your work, including the equation and units) (6 points) 15) a) Graphically decompose the following vectors into their horizontal and vertical components b) Analytically determine the horizontal and vertical components of each vector (resolve the vector). (Show all your work, including the equation) (18 points) 16) a) Graphically sketch the resultant vector of each vector pair. b) Analytically solve for the magnitude and direction (angle between the horizontal component and the resultant) of the resultant vector. (Show all your work, including the equation) (18 points) 5 5 5 5 8