Solve the problem for the given information.Find the equation of a line passing through the origin so that the cosine of the angle between the line in  and the positive  is .

A. y = x
B. y = x
C. y = x
D. y = x


Answer: D

Mathematics

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In the given voting system, the weights represent, in order, voters A, B, C, and so on. Determine the Banzhaf power index for each voter.[12 : 1, 3, 5, 7]

A. A has an index of 0. All others have an index of .
B. A and B have an index of . C and D have an index of 0.
C. A and B have an index of 0. C and D have an index of .
D. All have an index of .

Mathematics

Find the area of the figure using determinants.

A. 11.0 B. 11.5 C. 12.0 D. 12.5

Mathematics

Solve the problem.A lake lies between A and C, and lines AB and DE run north-south. If   and  how far is it from A to C? Round to the nearest tenth.

A. 10.9 mi B. 3.9 mi C. 5.0 mi D. 5.3 mi

Mathematics

Simplify the expression.6255/4

A. 3125 B. 1,953,125 C. 78,125 D. 390,625

Mathematics