Find each quotient and express it in rectangular form. 2(cos150° + isin150°) ÷ 8(cos210° + isin210°)

A. –0.22 + 0.12i

B. [sin(–60°) + icos(–60°)]

C. 0.12 – 0.22i

D. [cos(–60°) + isin(–60°)]

What are the values of m∠abc, m∠cbf, m∠abd and m∠dbe in the given figure? explain or show your work?

An optical inspection system is used to distinguish among different part types. the probability of a correct classification of any part is 0.92. suppose that three parts are inspected and that the classifications are independent. let the random variable x denote the number of parts that are correctly classified. determine the probability mass function of x. round your answers to four decimal places (e. g. 98.7654). x f(x) 0 1 2 3

Which translation maps the vertex of the graph of the function f(x) = x2 onto the vertex of the function g(x) = x2 – 10x +2?