Find the requested information using the law of cosines and/or the law of sines. Round to three decimal places.A triangle has sides a = 5 and b = 3 and angle C = 30°. Find the length of side c.

A. 2.832
B. 8.019
C. 4.584
D. 4.359


Answer: A

Mathematics

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Assign as indicated using the Huntington-Hill method.A hospital administrator wishes to assign ten emergency room medical teams to three outreach centers. The numbers of patients treated in an average week at the three centers are as follows:Center 1: 280 patientsCenter 2: 175 patientsCenter 3: 95 patientsHelp the administrator assign the medical teams to the three centers. Begin by giving each center one team.

A. Center 1: 5; Center 2: 3; Center 3: 2 B. Center 1: 5; Center 2: 4; Center 3: 1 C. Center 1: 4; Center 2: 4; Center 3: 2 D. Center 1: 4; Center 2: 3; Center 3: 3

Mathematics

If possible, evaluate the expression by hand. If not, approximate the answer to the nearest hundredth.24

A. -8 B. -16 C. 8 D. 16

Mathematics

Graph the linear inequality in two variables.x + 3y ? -4

A.

B.

C.

D.

Mathematics

Simplify the expression. Write the answer using positive exponents.(a + 3)-2

A. -2(a + 3)
B.
C. -(a + 3)2
D.

Mathematics