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In a complex plane, the vertical axis is the imaginary axis and the horizontal axis is the real axis. Within the complex plane, a complex number a + bi is comparable to the point (a, b) in the standard (x, y) coordinate plane. is the modulus of the complex point a + bi. Which of the complex numbers F, G, H, J, and K below has the smallest modulus?

(A)F

(B) G

(C) H

(D) J

(E) K

The Correct Answer

The following figure shows a cylindrical tank whose diameter is 3 times the length of its height. The tank holds approximately 231.5 cubic meters of fluid. Which of the following answer choices most closely approximates the height of the tank?

(F) 2 meters(G) 3 meters(H) 4 meters(J) 5 meters(K) 6 meters

Correct Answer: G

Which of the following is the graph of the equation image in the standard (x, y) coordinate plane?

(A)image (B) image (C) image (D) image (E) image

Correct Answer: C

In the following figure, sin θ=

(A) (B) (C) (D) (E)

Correct Answer: E

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