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The ancient Greeks knew the sides in a Golden Rectangle were in the ratio of 1:1.618. Suppose a corporation wants a large picture to hang in its lobby in a space that is 90 ft.². What should be the dimensions of this picture if it is in the shape of a Golden Rectangle?
A person deposited $500 in a savings account that pays 5% annual interest that is compounded yearly. At the end of 10 years, how much money will be in the savings account?
Mary is taking courses in both Reading and English. She estimates her probability of passing Reading of 0.4 and English at 0.6 and she estimates her probability of passing at least one of them at 0.8.
the speed of train a is 20 mph slower than the speed of train b. train a travels 220 miles in the same time it takes train b to travel 320 miles. find the speed of each train.
Assume that f(z) is analytic at the origin and f(0) = first derivative of f at 0 = 0. Prove that f(z) can be written in the form f(z) = [z^2]g(z), where g(z) is analytic at z = 0.
the vertices of the trapezoid are the origin along with A(4m,4n),B(4q,4n) and c(4P,0) find the midpoint of the midsegment of the trapezoid.
Normal subgroups, Second Theorem of Isomorphism, Conjugates and Cyclic Groups
The law of cosines and Pythagoras theorem.
A certain drug is made out of two compounds only: compound A and compound B. To make this drug, two parts of compound A are used for every three parts of compound B. If a chemist wants to make 315 milliliters of this drug, how many milliliters of ..
Is a directed graph weakly connected if there is a path from a to b and from b to a whenever a and b are vertices in the graph?
A high school graduating class is made up of 360 students. There are 118 more girls than boys . How many boys are in the class?
A toy rocket is launched straight up from the top of a building 64 ft tall at an initial velocity of 243 ft per sec. Using the function V(x)=-16t^2+vt+h, answer the following.
jason is a sales person at the electronics department of a store. He is 48% short of his goal for the week. His goal is to earn $375. for each cd player he sells he earns $45. how many cd players does he need to sell to meet his goal?
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