Tayshaun is doing a science experiment in which he measures the rate at which bacteria multiply. Every 20 seconds, the bacteria double in number. If there are 10 bacteria now, how
many will there be in 2 minutes?

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

i dont know the answer but here's a picture of a dog

acd, jgvjgbgbgvhgbhjjn