4) A spinner has 8 congruent sections as shown in the diagram. If the spinner is spun twice, what is the probability that the first spin will land on
a whistle and the second spin will land on a yo-yo?"

a. 1/2
b. 1/8
c. 2/8
d. 1/32

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

jwjeh; hw; kjhekjhkjhwkejhkw

step-by-step explanation: