Find the requested information using the law of cosines and/or the law of sines. Round to three decimal places.A triangle has side c = 4 and angles A =  and B = . Find the length b of the side opposite B.

A. 2.071
B. 2.928
C. 0.129
D. 0.518


Answer: A

Mathematics

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Solve the problem.Charlene baby-sits for $10 per hour. She also works as a tutor for $12 per hour. Because of school, her parents only allow her to work 13 hours per week. How many hours can Charlene tutor and baby-sit and still make at least $75 per week? (a) Write a system of inequalities for this situation.(b) Graph the solution set. 

What will be an ideal response?

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Arrange the quantities in order from smallest to largest.8800 cg, 64 dag, 4.7 hg

A. 64 dag, 4.7 hg, 8800 cg B. 8800 cg, 64 dag, 4.7 hg C. 64 dag, 8800 cg, 4.7 hg D. 8800 cg, 4.7 hg, 64 dag

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Write the expression in expanded form.log 

A. log 3 + 5 log x +  log(2 - x) - log 3 - 2 log(x + 2)
B. log 3 + 5 log x +  log(2 - x) - log 3 + 2 log(x + 2)
C. log(3x5) - log(3(x + 2)2)
D. log 3 + log x5 + log(2 - x)1/3 - log 3 - log(x + 2)2

Mathematics

Solve the problem.A video rental company charges $5 for the first day, and $4 for each additional day, for renting video tape. Use the floor function to write an expression for renting a video tape for x days. Use the notation f(x) =  to represent the floor function.

A. y = 
B. y = 4x + 5
C. y = 4 + 5
D. y = 4 + 5

Mathematics