Math 1107 Solve the following problems. Take all final answers to two decimal places. (a) A rectangular sheet of metal is twice as long as it is wide. Squares 3 cm by 3 cm, are cut from each comer and the ends are turned up to form a container having a volume of 695 cm. Find the dimensions. (b) A missile is fired vertically upward such that its distance s(in m) above the ground is given by the equation below where t is the time in seconds. Find when the missile will hit the ground, the maximum height and the time it takes to reach 275 m. s = -4.9.1 + 120t + 65 (c) Find the dimensions of a rectangular field having a perimeter of 724 m and an area of 32,400 square meters. Find the diagonal and two angles. () The length of a rectangle is five times its width. If the width is increased by one cm and the length decreased by four cm, the new area will be 399 cm. Find the dimensions of the original rectangle. (e) Find the equation. Find the vertex and x and y intercepts y = ax + bx + c (1,9) (-1,3) (2,18) (f) The hypotenuse of a right angled triangle is 34.0 m. Find the lengths of the remaining two sides if one of these sides is 14.0 m longer than the other side