Betsy strand’s regular hourly wage rate is $16, and she receives an hourly rate of $24 for work in excess of 40 hours. during a january pay period, betsy works 47 hours. betsy’s federal income tax withholding is $89, and she has no voluntary deductions. assume that the fica tax rate is 7.65%. prepare the employer’s journal entry to record payroll taxes for the period. ignore unemployment taxes. (round answers to 2 decimal places, e. g. 15.15. credit account titles are automatically indented when amount is entered. do not indent manually.)

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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