Kate is a florist. kate can arrange 20 bouquets per day. she is considering hiring her husband william to work for her. together kate and william can arrange 35 bouquets per day. what is william's marginal product? a. 55 bouquets b. 35 bouquets c. 22.5 bouquets d. 15 bouquets

(d) 15 bouquets

Explanation:

it is given that kate alone can arrange 20 bouquets per day

and it is also given that when Kate and his husband William work together then they arrange 35 bouquets

we have to find the William marginal product

if both together arrange 35 bouquets and Kate alone arrange 20 bouquets it means that 35-20=15 bouquets are arranged by William alone

so the marginal product of William is 35-20=15 so the option will be the correct answer

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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