Use a half-angle formula to find the exact value of the expression.tan 165°

A. - - 2
B.  - 2
C.  + 2
D. - + 2


Answer: B

Mathematics

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Given f(x) and g(x), find .f(x) = 6x3 - 7x2 - 7x + 18 and g(x) = 2x + 1

A.  = 3x2 - 5- 1 + 
B.  = 3x2 - 5- 1
C.  = x2 - 1 + 
D.  = 3x2 - 5- 1 + 

Mathematics

Write a proportion that can be used to solve the problem. Then solve the equation to obtain the answer.It is recommended that there be at least 17 square feet of work space for every person in a conference room. A certain conference room is 16 feet by 12 feet. Find the maximum number of people the room can accommodate.

A. 11 people B. 21 people C. 12 people D. 31 people

Mathematics

Find the vertex, the focus, and the directrix of the parabola.y = -3x2 + 12x - 8 = 0

A. V: ; F: ; D: x = 
B. V: ; F: (2, -8); D: x = -16
C. V: (2, 4); F: ; D: y = 
D. V: ; F: (2, 1); D: x = 7

Mathematics

Solve the problem.y varies directly as z and y = 221 when z = 13. Find y when z = 19.

A. 361 B. 289 C. 323 D. 169

Mathematics