There are fifteen nonempty subsets of the set (2,0,1,8). for each of these subsets, consider the sum of its elements. compute the number of different sums.

0

1

2

8

1+2=3

1+8=9

2+8=10

2+1+8=11

0 doesn't change the value of the sum, so we don't take into consideration subsets with 0 in it, except the subset with just 0 itself.

Therefore, there are 8 different sums.

the equation cos(35) =a/25 can be used to find the length of bc what is the length of bc? round to the nearest tenth

step-by-step explanation:

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