a. Tao Co. receives $10,000 cash in advance for four months of evenly planned legal services beginning on October 1. Tao records it by debiting Cash and crediting Unearned Revenue both for $10,000. It is now December 31, and Tao has provided legal services as planned. What adjusting entry should Tao make to account for the work performed from October 1 through December 31

Dr unearned revenue $7,500

Cr legal services revenue               $7,500

Being recognition of legal services revenue earned

Explanation:

The appropriate adjusting entry now would be to recognize the revenue earned from October 1 through to December 31.

Revenue=$10,000*3/4=$7,500

The $7,500 would be debited to unearned revenue account as it is now earned while the legal services revenue account would be credited for the  same amount.

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.