Which equation could be used to solve for the length of xy? a: xy = (22)sin(41°) b: xy = (22)cos(41°) c: xy = 22/cos(41°) d: xy = 22/sin(41°)

XY = 22 / sin 41°

The triangle is a right angle triangle. Therefore, trigonometric ratios can be applied to find XY.

sin 41° = opposite / hypotenuse

sin 41° = 22 / XY

cross multiply

XY sin 41° = 22

divide both sides by sin 41°

XY = 22 / sin 41°

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answer: there are x+184 pages in olivia's book.

step-by-step explanation:

let the total number of pages in the book which olive has already read be x.

then if olive has 184 pages left to read, then the total number of pages are in olive's book= pages she has read+pages she has left to read

therefore, the total number of pages in olivia's book=

hence, there are x+184 pages in olivia's book.

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4