Solve the problem.A basketball player shoots the ball with a velocity of 16.3 ft/s at an angle of 30.0° with the horizontal. To the nearest tenth, find the magnitude of the vertical component of the resultant vector.

A. 7.1 ft/s
B. 14.1 ft/s
C. 8.2 ft/s
D. 4.1 ft/s


Answer: C

Mathematics

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Solve and check your solution.6b = -108

A. 1 B. -114 C. -18 D. 114

Mathematics

Rotate the axes so that the new equation contains no xy-term. Discuss the new equation.31x2 + 10xy + 21y2 -144 = 0

A. ? = 45°
y'2 = -4x'
parabola
vertex at (0, 0)
focus at (-, 0)
B. ? = 45°
x'2 = -4y'
parabola
vertex at (0, 0)
focus at (0, -)
C. ? = 30°
 +  = 1
ellipse
center at (0, 0)
major axis is y'-axis
vertices at (0, ±3)
D. ? = 36.9°
 +  = 1
ellipse
center at (0, 0)
major axis is x'-axis
vertices at (±3, 0)

Mathematics

Use the given trigonometric function value of ? to find the requested trigonometric function value of the acute angle ?. Rationalize the denominators where necessary.sec ? = 5   Find cos ?.

A. -  
B.  
C. -  
D.  

Mathematics

Graph the system of inequalities.y > x22x + 2y ? 4

A.

B.

C.

D.

Mathematics