Solve the system below for x: (2 pts)
2 answers:
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Lemme see, notice, this is the relationship from side ratios,
to areas and volumes
keep in mind that areas are square figures, involving 2 units,
and volumes are cubic figures, involving 3 units
thus
what the dickens all that means?
well, you have two cubes, both similar, their ratio, is 3:4,
3 is smaller than 4, thus is from smaller to bigger cube, 3:4 ratio
the smaller cube has a volume, or
of 729 cubic units,
what's the other volume?
well, let us use those proportions above
solve for "v"
notice, the numerator in 3:4, has the smaller volume, 729,
the bigger is at the bottom of that proportion
to areas and volumes
keep in mind that areas are square figures, involving 2 units,
and volumes are cubic figures, involving 3 units
thus
what the dickens all that means?
well, you have two cubes, both similar, their ratio, is 3:4,
3 is smaller than 4, thus is from smaller to bigger cube, 3:4 ratio
the smaller cube has a volume, or
what's the other volume?
well, let us use those proportions above
solve for "v"
notice, the numerator in 3:4, has the smaller volume, 729,
the bigger is at the bottom of that proportion