Use the information given about the angle ?, 0 ? ? ? 2?, to find the exact value of the indicated trigonometric function.tan ? = , ? < ? < Find cos .

A.
B.
C. - 
D. - 


Answer: D

Mathematics

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If a triangle has vertices of   and  then the area of the triangle is given by    Find the area of the triangle with vertices at the given points.(1, -3) (1, 1) (4, 3)

A. 6 B. 2.5 C. 12 D. 5

Mathematics

Solve the problem.The population of a city in 2000 was 400,000 while the population of the suburbs of that city in 2000 was 900,000. Suppose that demographic studies show that each year about 5% of the city's population moves to the suburbs (and 95% stays in the city), while 4% of the suburban population moves to the city (and 96% remains in the suburbs). Compute the population of the city and of the suburbs in the year 2002. For simplicity, ignore other influences on the population such as births, deaths, and migration into and out of the city/suburban region.

A.

City:361,000
Suburbs: 829,440
B.
City:430,560
Suburbs: 869,440
C.
City:361,000
Suburbs: 939,000
D.
City:416,000
Suburbs: 884,000

Mathematics

A parcel delivery service has contracted you to design a closed box with a square base that has a volume of 10,500 cubic inches.

(c) What is the minimum amount of material that can be used to construct the? box?
The minimum amount of material is about
nothing
square inches.

?(Round to the nearest square? inch.)

Mathematics

Use the given values of a and b and express the given limit as a definite integral.?xk, a = -3?, b = 3?

A. dx
B. dx
C. dx
D. dx

Mathematics