Find the magnitude and direction angle (to the nearest tenth) for each vector. Give the measure of the direction angle as an angle in [0,360°].

A. 22; 102.3°
B. 22; 347.7°
C. ; 282.3°
D. ; 347.7°


Answer: D

Mathematics

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Find the number of ways to get the following card combinations from a 52-card deck.Two red cards and three black cards

A. 1,690,000 ways B. 845,000 ways C. 1,267,500 ways D. 422,500 ways

Mathematics

Solve.Amy can clean the house in 6 hours. When she works together with Tom, the job takes 4 hours. How long would it take Tom, working by himself, to clean the house?

A. 12 hr
B. 12 hr
C. 13 hr
D. 2 hr

Mathematics

Construct a truth table for the given statement and then determine if the statement is a tautology.( ~ p ? q) ? (~ p ? q)

A.
Is not a tautology.

B.
Is not a tautology.

C.
Is a tautology.

D.
Is not a tautology.

Mathematics

Round following numbers as indicated.124.123497 (hundred-thousandth)

A. 124.12349 B. 124.1235 C. 124.12350 D. 124.12351

Mathematics