In a class of 28 students 4 drink skim milk 10 drink whole milk and the rest drink orange juice. What fractional part of the class drinks orange juice.

14/28, or 1/2

explanation:

14/28 total students drink milk in general, meaning that the remainder drink orange juice. This leaves us with 14/28 students that drink orange juice, which can be reduced to 1/2.

I hope this helped! ^_^

geometry: triangles

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call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

25.45584