Chck farms raises hens and roosters.   they have enough space to raise at most  300  300  birds per year.   each hen eats  80    80  pounds of food per year,   and each rooster eats  60  60  pounds of food per year.   the business can only afford  20,000    20,000  pounds of food per year.   the graph below shows the solution set of a system of linear inequalities that represents this situation.

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

ratio is 2 : 9

the answer is three

13.5 : 3

1. 2

2. 11

3. 5

4. 6

5. 7

6. 5

7. -1

8. 1

step-by-step explanation:

2 1/2 feet

step-by-step explanation: