Solve the problem.Bert is 16.5 kilometers away from Brenda. Both begin to walk toward each other at the same time. Bert walks at 3 kilometers per hour. They meet in 3 hours. How fast is Brenda walking?

A. 3 kilometers per hour
B. 3.5 kilometers per hour
C. 4.5 kilometers per hour
D. 2.5 kilometers per hour


Answer: D

Mathematics

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Provide an appropriate response. A total of 20 pounds of nuts were purchased for $22.80; some were cashews and the others were peanuts. Cashews cost $1.05 per pound and peanuts cost $1.20 per pound. How many pounds of peanuts were in the mixture?

A. 14 pounds B. 12 pounds C. 10 pounds D. 8 pounds

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Use the fundamental identities to find the value of the trigonometric function.Find cos ?, given that sin ? = -  and ? is in quadrant III.

A. - 
B.
C. - 
D. - 

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Solve.A square shaped pasture has a side of length  meters. Express the perimeter of the pasture as a rational expression.

A.  m
B.  m
C.  m
D.  m

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Solve the problem.The power dissipated in an electric circuit is given by the expression  where R is the resistance of the circuit and I is the current through the circuit. For a sinusoidal alternating current, the current might be represented by the relation  where A is the amplitude, f is the frequency, and t is time. Write an expression for P involving the sine function, and use a fundamental identity to write P in terms of the cosine function.

A. P = RA sin2(2?f t) ; P = RA - cos2(2?f t) B. P = RA2 sin2(2?f t) ; P = - RA2 cos2(2?f t) C. P = RA2 sin2(2?f t) ; P = RA2 - RA2 cos2(2?f t) D. P = RA sin2(2?f t) ; P = RA - RA cos2(2?f t)

Mathematics