Find the remaining sides of a 45-45-90 triangle from the given information.The hypotenuse has length 6.

A. 66
B. 1212
C. 33
D. 66


Answer: D

Mathematics

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Evaluate the limit. = (2 cos t i + 5 sin t j)

A. 2i  B. 2i - 5j C. -5j D. 5j

Mathematics

Write a chain rule formula for the following derivative. for w = f(x, y, z); x = g(r, s, t), y = h(r, s, t), z = k(r, s, t)

A.  =   +  
B.  =   +   +  
C.  =   +   +  
D.  =  +  + 

Mathematics

Solve the problem.Find the total impedance ZT when the impedances Z1 = 3 + 5j and Z2 = -3 + 6j are in parallel. 

A. ZT = 3 + j
B. ZT = 
C. ZT =  + j
D. ZT = - 

Mathematics

Because of the increasingly important role played by coal as a viable alternative energy source, the production of coal has been growing at the rate of

?

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billion metric tons/year t years from 1960 (which corresponds to ). Had it not been for the energy crisis, the rate of production of coal since 1960 might have been only
?

?
billion metric tons/year t years from 1960.  Determine how much additional coal was produced between 1960 and the end of the century as an alternate energy source. Round your answer to one decimal place.
?
__________ billion metric tons

Fill in the blank(s) with the appropriate word(s).

Mathematics