# Pre-calculus

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1. A triangular prism has vertices at A(2, 0, 0), B(2, 1, 3), C(2, 2, 0), D(0, 0, 0), E(0, 1, 3), and F(0, 2, 0).
Which image point has the coordinates (1, 4, 3) after a translation using the vector 1, 2, 3?

2. What point represents a reflection of B over the xy-plane?
B'(?)

3. The vector has a magnitude of 6.1 inches and a direction of 55°. Find the magnitude of its veritcal component. (?) inches

4. Aaron kicked a soccer ball with an initial velocity of 39 feet per second at an angle of 44° with the horizontal.
After 0.9 second, how far has the ball traveled horizontally? (?)ft
After 1.5 seconds, how far has the ball traveled vertically? (?) ft

28. The vector has a magnitude of 5 inches and a direction of 32°. Find the magnitude of its vertical component. ?in.

• Pre-calculus - ,

3. Y = 6.1*sin55.

4. d = 39*cos44 * 0.9

Yo = 39*sin44 = 27.1 Ft/s. = Vertical component of initial velocity.

h = Yo*t + 0.5g*t^2.
h = 27.1*1.5 - 4.9*(1.5)^2

28. Y = 5*sin32