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What is the ratio for the volumes of two similar pyramids given that the ratio of their edge lengths is 5 to 7?
The ratio is 57 cubed. This answer does not depend on the fact that you are comparing two similar pyramids; it works the same for two cubes, two spheres, etc. - in general, for any two similar 3D objects.
How do you determine the ratio between two sets of gears?
The ratio is the same as the ratio between the number of teeth.
What number is the golden ratio?
The golden ratio, or golden mean, or phi, is about 1.618033989. The golden ratio is the ratio of two quantities such that the ratio of the sum to the larger is the same as the ratio of the larger to the smaller. If the two quantities are a and b, their ratio is golden if a > b and (a+b)/a = a/b. This ratio is known as phi, with a value of about 1.618033989. Exactly, the ratio is (1 + square root(5))/2.
Can ratios be irrational?
Yes. But if you have a ratio of two integers, the ratio will be rational by definition.
What is one third divided by two and one third?
One third divided by two and one third = 1/7
