If the ratio of star shaped cookies to circular cookies is 5: 6 and the ratio of circular cookies to triangular cookies is 3: 10, find the ratio of star shaped cookies to triangular cookies. pls answer with all the steps

Step-by-step explanation:

Without loss of generality, let there be 5 star shaped cookies. Following the proportions given, there will be 6 circular cookies. We can set up the following proportion to find out how many triangular cookies there would be:

.

Therefore, for every 5 star shaped cookies there will be 20 triangular cookies.

Simplifying this ratio we have .

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+

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