Find the length of the third side of the right triangle. Assume that c represents the length of the hypotenuse. Give an exact answer and, if appropriate, an approximation to three decimal places.b = 2, c = 4
A. a = 2
B. a = ; a ? 3.464
C. a = ; a ? 2.449
D. a = ; a ? 2.828
Answer: B
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Solve the problem. Unless stated otherwise, assume that the projectile flight is ideal, that the launch angle is measured from the horizontal, and that the projectile is launched from the origin over a horizontal surfaceA baseball is hit when it is 2.2 ft above the ground. It leaves the bat with an initial velocity of at a launch angle of 22°. At the instant the ball is hit, an instantaneous gust of wind blows against the ball, adding a component of -12.8i (ft/sec) to the ball's initial velocity. Find a vector equation for the path of the baseball.
A. r = (152 sin 22° - 12.8)ti + (2.2 + (152 cos 22°)t - 16t2)j B. r = (152 cos 22° - 12.8)ti + (2.2 + (152 sin 22°)t - 16t2)j C. r = ((152 cos 22°)t - 12.8)i + (2.2 + (152 sin 22°)t - 16t2)j D. r = (152 cos 22° - 12.8)ti + (2.2 + (152 sin 22°)t + 16t2j
Use the Gauss-Jordan method to find A-1, if it exists.A =
A.
B.
C.
D. Does not exist
Use identities to find the indicated value for each angle measure.cos ? = , sin ? < 0
Find sin(2?).
A.
B.
C. -
D. -
Find the distance d(P1, P2) between the points P1 and P2.P1 = (-0.2, 0.8); P2 = (-2.4, -1.4) Round to three decimal places, if necessary.
A. 3.211 B. 22 C. 3.111 D. 9.839