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A tower is 50m high. Its shadow is x cm shorter when the Sun 's Altitude is 45 degree than when it is 30 degree. Find x correct to the nearest cm.
What is the ratio of cranberry juice to apple juice?
what area can it cover?
Normal subgroups, Second Theorem of Isomorphism, Conjugates and Cyclic Groups
Critical points and optimization. Find the minimum value of the function f(x) = x2. Use the Mean Value theorem to show that |sin(a) - sin(b)| ≤ |a - b| for all a and b
Find a vector function that represents the curve of intersection of x2 + y2 = 4 and z =x. Find the normal plane of the curve above at the point (0,2,0).
explain the difference between the results in part a and part b.
Use differentials to estimate the amount of material in a closed cylindrical can that is 70 cm high and 28 cm in diameter if the metal in the top and bottom is 0.1 cm thick, and the metal in the sides is 0.05 cm thick.
The spot rate of the British pound to the dollar is 1.68 ($/£). The 180 day forward rate is $1.71, what is the annualized forward premium?
Find the percent of the undergraduates enrolled in each of the four types of programs who were 18 to 24 years old. Make a bar graph to compare these percent's
Maximize f = 2x + 6y subject tox + y ≤ 72x + y ≤ 12x + 3y ≤ 15
Is there any difference between the proportion of americans who wish they were rich and the proportion of Canadians who wish they were rich ? A random sample of Americans showed that 550 wish they were rich, while a random sample of 500 Canadians ..
three tennis balls are tightly packed one of top of each other in a cylindrical can. what fraction of the volume of the can is occupied by the tennis balls?
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