Refer to the figure below to answer the problem.





What side is opposite ?C?


Mathematics

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Express the value of the inverse hyperbolic function in terms of natural logarithms.sinh-1 

A. ln (4)
B. ln 2
C. ln 
D. ln 

Mathematics

Provide an appropriate response.Consider the logistic function f(x) = , where b > 0. What is the initial value of this function?

What will be an ideal response?

Mathematics

Solve the problem.The table lists the average annual cost (in dollars) of tuition and fees at a certain 2-year college for selected years, where year 1 represents 1992, year 3 represents 1994, and so on. The equation  can be used to approximate the data. Predict the average annual cost in 2007 to the nearest dollar. 

A. $1495 B. $1555 C. $1585 D. $1525

Mathematics

For the year 1840, find the standard quotas for the city districts given in table that shows the population (in thousands) over the years. Assume there are eight council seats. Round the answers to three decimal places. Year Total District A District B District C District D District E 1790 50 32 2 6 6 4 1800 83 61 2 6 7 7 1840 747 516 10 197 5 19 1900 3,431 1,850 194 1,167 153 67 1940 10,155 1,890 1,395 2,701 1,297 174 1990 7,325 1,488 1,204 2,301 1,953 379 2000 8,007 1,537 1,333 2,465 2,229 443 ? District A District B District C District D District E __________ __________ __________ __________ __________

What will be an ideal response?

Mathematics