Alonzo's marginal utility for dvds (d) is mu subscript upper dequalsx and his marginal utility for xbox games (x) is mu subscript upper xequalsd. alonzo's income is $120, the price of a dvd is $20.00, and the price of an xbox game is $10.00. how many dvds and xbox games does alonzo consume to maximize his satisfaction? alonzo consumes nothing dvds and nothing xbox games. (enter your responses using integers.)

answer; (c) canada,mexico and the united states. i do believe this is the correct answer; /// good luck

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.

you get a crown by getting lots of points and you get points by answering other peoples questions

a manufacturer of printed circuit boards uses exponential smoothing with trend to forecast monthly demand of its product. at the end of december, the company wishes to forecast sales for january. the estimate of trend through november has been 200 additional boards sold per month. average sales have been around 1000 units per month. the demand for december was 1100 units. the company uses α = 0.20 and β = 0.10. make a forecast including trend for the month of january.