Question 1)2 pointsquestion 2)2 pointsron’s window washing service is a small business that operates in the perfectly competitive residential window washing industry in evanston, illinois. the short-run total cost of production is stc(q) = 40+ 10q + 0.1q2, where q is the number of windows washed per day. the corresponding short-run marginal cost function is smc(q) = 10 + 0.2q. the prevailing market price is $20 per window. a) how many windows should ron wash to maximize profit?

the answer is d) it provided irrigation for farming.

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.

88 because 4 plus 4 equals 8. 40 plus 40 equals 80. 80 plus 8 equals 88