Dave, Frida, Natalie, and Robble have four adjacent seats at a baseball park. They randomly chose an order to sit in. Make a list of all the
possible ways in which they can sit in the four seats. Then match the events to their correct probabilities.
the probability of Dave and
Natalie sitting together
the probability of sitting
boy, girl, boy, girl or
girl, boy, girl, boy
the probability of the two
boys sitting in the middle
the probability of Frida
and Natalie sitting
together
the probability of Robbie
sitting between the girls
the probability of Natalie
sitting between Dave
and Robbie
ISO
012

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

11.2

step-by-step explanation:

when doing tangent the tangent of the angle is equal to the opposite side from the angle over the adjacent side to the angle.

tan43 = x / 12

move 12 over by multiplying each side by 12

12tan43 = x

x = about 11.2