no, ive been out of school for 43 yrs, lol this is for my hobby . to make scaled inlays for my productHello qazz. Is this schoolwork?
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Set up a proportion: 8.5 inches to 8000 miles as y inches to x milesno, ive been out of school for 43 yrs, lol this is for my hobby . to make scaled inlays for my product
i build custom pool cues, but working on a project for a friend,, u might have guessed, the 8000 miles is the earth. 8.5 is his projectHi. By comparing diameters, we can obtain conversions factors. You'd like to know how much inch is needed on the small ball for each mile on the big ball, so we compare small to big.
\(\displaystyle \frac{8.5 \text{ inch}}{8000 \text{ mile}} = 0.0010625 \text{ inch per mile}\)
We multiply by that conversion factor, to scale miles to size.
200 [imath]\times[/imath] 0.0010625 = 0.2125
Therefore, a distance of 0.2125 inch (17/80ths) on the small ball represents 200 miles on the big ball.
If we were to compare large to small, instead, then we'd obtain a conversion factor telling us that every inch on the small ball represents about 941.17647 miles on the big ball.
Whatcha building?
The responses above converts lines (perimeter). Be careful about conversion of projected areasi build custom pool cues, but working on a project for a friend,, u might have guessed, the 8000 miles is the earth. 8.5 is his project