You went on three hikes. On each hike, you saw a different number of animals: Hike Length of hike (\text{km})(km)left parenthesis, start text, k, m, end text, right parenthesis Number of animals seen Rivers Edge 333 888 Wooded Marsh 888 202020 Canyon Creek 151515 353535 Order your hikes by number of animals seen per kilometer from least to greatest.

Canyon Creek<Wooded Marsh<Rivers Edge

Step-by-step explanation:

When hike length was 3 km and there are 8 animals, the number of animals seen per kilometer will be (8/3) = 2.67 animals/km

When hike length was 8 km and there are 20 animals, the number of animals seen per kilometer will be (20/8) = 2.5 animals/km

When hike length was 15 km and there are 35 animals, the number of animals seen per kilometer will be (35/15) = 2.34 animals/km

Canyon Creek<Wooded Marsh<Rivers Edge is the required order.

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