10. Phelps Industries is a multi-product company that currently manufactures 30,000 units of part ST35 each month for use in production of its products. The facilities now being used to produce part ST35 have a fixed monthly cost of $150,000 and a capacity to produce 35,000 units per month. If Phelps were to buy part ST35 from an outside supplier, the facilities would be idle, but its fixed costs would continue at 40% of their present amount. The variable production costs of Part ST35 are $11 per unit If Phelps Industries continues to use 30,000 units of part ST35 each month, it would realize a financial advantage by purchasing this part from an outside supplier only if the supplier's unit price is less than: A. $11.00 B. $14.00 C. $13.00 D. $16.00 E. None of the above

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.

answer is a

explanation:

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