Steven earns extra money babysitting. he charges $31.25 for 5 hours and $50 for 8 hours explain what the constant rate of charge means in context

His rate per hour is the same for 8 hours as it is for 5.

$31.25 / 5 = $6.25  and 50 / 8 = $6.25

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

sounds & other waves originate from any vibrating object