Provide an appropriate response.Find the circumference of a circle inscribed in an equilateral triangle if the height of the triangle is 14 in. 

A. 29.32 in.
B. 21.99 in.
C. 43.98 in.
D. 87.96 in.


Answer: A

Mathematics

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Find a particular solution for the differential equation.  = 4x + 4; y = -20 when x = 0

A. y = 4x2 + 4x - 20 B. y = 2x2 + 4x - 10 C. y = 4x2 + 4x - 10 D. y = 2x2 + 4x - 20

Mathematics

Find all the complex roots. Leave your answers in polar form with the argument in degrees.The complex cube roots of -8i

A. 2(cos 180° + i sin 180°), 2(cos 300° + i sin 300°), 2(cos 60° + i sin 60°) B. 8(cos 90° + i sin 90°), 8(cos 210° + i sin 210°), 8(cos 330° + i sin 330°) C. 512(cos 90° + i sin 90°), 512(cos 210° + i sin 210°), 512(cos 330° + i sin 330°) D. 2(cos 90° + i sin 90°), 2(cos 210° + i sin 210°), 2(cos 330° + i sin 330°)

Mathematics

Estimate the answer to the problem.One cook can make enough food for 350 people a night. How many cooks are needed to feed 2317 people a night?

A. 9 cooks B. 7 cooks C. 8 cooks D. 6 cooks

Mathematics

Find the zeros for the polynomial function and give the multiplicity for each zero. State whether the graph crosses the x-axis or touches the x-axis and turns around, at each zero.f(x) = x3 + 8x2 - x - 8

A. -1, multiplicity 1, crosses the x-axis; 1, multiplicity 1, crosses the x-axis;  - 8, multiplicity 1, crosses the x-axis. B. -1, multiplicity 1, touches the x-axis and turns around; 1, multiplicity 1, touches the x-axis and turns around; - 8, multiplicity 1, touches the x-axis and turns around C. 8, multiplicity 1, crosses the x-axis; 1, multiplicity 1, crosses the x-axis;  - 8, multiplicity 1, crosses the x-axis. D. 1, multiplicity 2, touches the x-axis and turns around; - 8, multiplicity 1, crosses the x-axis.

Mathematics