In order for Kate to earn a producer surplus of exactly $70 from selling a used textbook, the market price needs to be

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 want me to join your discord for points?

you have to put the parentheses like this:

in fact, you have to perform the operation inside parentheses first, and then proceed in order:

consumer credit. an advantage is that it allows consumers to afford expensive goods and services now, increasing their standard of living. however, a disadvantage is that it creates a trap for debt, if people do not have self control, they may see themselves filing personal bankruptcy.