there are 153 people in line for a ride at an amusement park the ride can take 40 people at a time how many times will the ride need to run so that every person in the lines gets a turn?

Step-by-step explanation:

we need to divide

153/40=3.825

the ride needs to run 4 times

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

a - base

b - exponent

so,