Write the complex number in polar form. Express the argument in degrees, rounded to the nearest tenth, if necessary.15 + 20i

A. 25(cos 306.9° + i sin 306.9°)
B. 25(cos 126.9° + i sin 126.9°)
C. 25(cos 233.1° + i sin 233.1°)
D. 25(cos 53.1° + i sin 53.1°)


Answer: D

Mathematics

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Solve the triangle. Round lengths to the nearest tenth and angle measures to the nearest degree.A = 26°, B = 51°, c = 30

A. C = 103°, a = 13.5, b = 23.9 B. C = 97°, a = 13.2, b = 23.5 C. C = 103°, a = 23.9, b = 13.5 D. C = 103°, a = 66.7, b = 37.6

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Perform the division.( x2 + 3x - 54) ÷ ( x + 9)

A. x2 + 4x - 45 B. x2 - 6 C. x - 6  D. x + 6

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Use Bayes' rule to find the indicated probability.Two stores sell a certain MP3 players. Store A has 34% of the sales, 5% of which are of defective items, and store B has 66% of the sales, 1% of which are of defective items. The difference in defective rates is due to different levels of pre-sale checking of the product. A person receives a defective item of this product as a gift. What is the probability it came from store B?

A. 0.275 B. 0.22 C. 0.5667 D. 0.7083

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Express the product as a sum containing only sines or cosines.sin(3?) sin(7?)

A. [- cos(4?) - cos(10?)]
B. [cos(4?) - cos(10?)]
C. sin2(21?2)
D. [cos(10?) - sin(4?)]

Mathematics