Glass Bottle Coffee Company is a calendar year, accrual-basis taxpayer. On October 1, 2019, Glass Bottle sold a 24-month subscription contract for $2,400. The client paid the full amount in cash. Under the contract, Glass Bottle delivers 20oz fresh, artistically roasted coffee beans to the client on the 15th of every month. The service periods cover October 1, 2019 to September 30, 2020. For tax purposes, if Glass Bottle wants to defer income recognition (to the extent allowed by tax law), how much income it should recognize in 2019?

bd = 9 cm

step-by-step explanation:

in a 30°-60°-90° triangle, the ratio of side lengths is 1 : √3 : 2. that is, the longest side (hypotenuse) is twice the length of the shortest side.

all of the triangles in your geometry are 30°-60°-90° triangles. ac is the hypotenuse of δacd, and the short side of δabc.

the short side ad of δacd will be half the length of ac, so 3 cm. the hypotenuse ab of δabc will be twice the length of ac, so 12 cm. segment bd is the difference of the lengths ab and ad, so is

bd = ab -ad

bd = 12 cm - 3 cm = 9 cm

comment on side length ratios

you can figure the ratios of side lengths in a 30°-60°-90° triangle by considering the trig ratios of the angles. or you can figure the length of the altitude of an equilateral triangle of side length 2 using the pythagorean theorem.

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