help me with A-D multiple choice. I marked next to each that need to be answered
ID: 3026267 • Letter: H
Question
help me with A-D multiple choice. I marked next to each that need to be answered.
MULTIPLE CHOICE. Choose the one alternative that best completes the statement o the question. Perform the indicated operation. Give answers in rectangular form. S(cos 20 + i sin 209114(cos 100 + i sin 109] /3 A) 10-3+ 10 D) 10 10h/3 Find all solutions of the equation. Leave answers in trigonometric form. Al (2 cis 270°, 2 cis 30°, 2 cis 150°) C) (2 cis 909, 2 cis 150°, 2 cis 30°) B) 12 cis 270o, 2 cis 210°, 2 cis 150°) D) 12 cis 900 2 cis 210°, 2 cis 330°) Solve the problem. One rope pulls a barge directly east with a force of 45 newtons, and another rope puls the barge directly north with a force of 87 newtons. Find the magnitude of the resultant force acting on the barge. A) 98 newtons B) 42 newtons C) 132 newtons D) 3915 newtons Find the polar coordinates of the point(s) of intersection of the given curves for 0Explanation / Answer
1) 5*4 [ cos (20+10) + i sin (20 +10)]
20 [ cos 30 + i sin 30 ]
20 [ sqrt 3/2 + i 1/2 ]
10 [ sqrt 3 + i ]
10 sqrt 3 + 10 i
option 1 is correct
3) resultant force = sqrt ( 45^2 + 87^2 )
= sqrt ( 9594 )
= 98 newtons (approx)
option a is correct
3) r = 8 cos theta , r = -1 + 6 cos theta
setting both equations equal to each other
8 cos theta = -1 + 6 cos theta
2 cos theta = -1
cos theta = -1/2
theta = 2pi/3 , 4pi/3
radius = -4
option c is correct
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