Moose Industries faces the following tax schedule (assume corporate progressive tax rate): Taxable Income Tax on Base of Bracket Percentage on Excess above Base Up to $50,000 $0 15% $50,000-$75,000 7,500 25 $75,000-$100,000 13,750 34 $100,000-$335,000 22,250 39 $335,000-$10,000,000 113,900 34 $10,000,000-$15,000,000 3,400,000 35 $15,000,000-$18,333,333 5,150,000 38 Over $18,333,333 6,416,667 35 Last year the company realized $9,500,000 in operating income (EBIT). Its annual interest expense is $1,500,000. What was the company's net income for the year?

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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