Find the product of the complex numbers. Leave answer in polar form.z1 = 5(cos 20° + i sin 20°)z2 = 4(cos 10° + i sin 10°)

A. 9(cos 30° + i sin 30°)
B. 20(cos 200° + i sin 200°)
C. 20(cos 30° + i sin 30°)
D. 9(-cos 200° - i sin 200°)


Answer: C

Mathematics

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Solve the problem. Round to the nearest tenth if necessary.A rectangular plot of land is 90 yards wide by 95 yards long. Find the length of the diagonal and if necessary, round to the nearest tenth yard.95 yd

A. 30.4 yd B. 132.1 yd C. 130.9 yd D. 185 yd

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Consider the series . ? Find the radius of convergence of the power series. ? __________ ? Find the interval of convergence of the power series. ? __________

What will be an ideal response?

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Provide an appropriate response.Suppose that A is an m × n matrix and B is a p × q matrix. Under what condition(s) can the product AB be found? Under what condition(s) can the product BA be found?

A. AB can be found if m = p; BA can be found if n = q. B. AB can be found if q = m; BA can be found if n = p. C. AB can be found if n = p; BA can be found if q = m. D. AB can be found if m = q and n = q; BA can be found under the same conditions.

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Simplify the fraction. (Write the fraction in lowest terms.) If the fraction cannot be simplified, so state.

A.
B. 2
C. 4
D. cannot be simplified

Mathematics