In which quadrant must the terminal side of x lie if csc(x) < 0 and tan(x) > 0?

A) Quadrant I
B) Quadrant II
C) Quadrant III
D) Quadrant IV


C) Quadrant III

Mathematics

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Solve the problem.A 41-in. piece of string is cut into two pieces. One piece is used to form a circle and the other to form a square. How should the string be cut so that the sum of the areas is a minimum? Round to the nearest tenth, if necessary.

A. Square piece = 10.1 in., circle piece = 9.7 in. B. Square piece = 0 in., circle piece = 41 in. C. Circle piece = 9.9 in., square piece = 31.1 in. D. Square piece = 9.9 in., circle piece = 31.1 in.

Mathematics

Evaluate the expression.61

A.
B. 6
C. 1
D. -6

Mathematics

Use the properties of logarithms to evaluate the expression.6log6 (2x) 

A. 1 B. 6 C. 62x D. 2x

Mathematics

Solve the problem.Amy has 3 blue, 4 red, and 5 green books to arrange on a shelf. In how many ways can the books be arranged if books of the same color are identical and must be grouped together?

A. 6 B. 150 C. 103,680 D. 17,280

Mathematics