The diameter of the largest particle that can be moved by a stream (or river) varies directly as the square of the velocity of the stream. If the stream has a velocity of V and a particle has diameter of D, by what multiplication factor does the diameter increase when the velocity is doubled?

geometry: triangles

solvers

lessons

answers archive

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

a long term investor

step-by-step explanation:

because he is a long term investor

146

step-by-step explanation: