Consider the following scenario to answer the following questions: Kukla makes tables, with an opportunity cost of 3 rugs per every 4 tables. Zola makes rugs, with an opportunity cost of 2 tables per every 3 rugs. Ollie proposes that Kukla give Zola 2 tables in exchange for 2 rugs. What are Kukla and Zola’s reactions?

A. Neither Kukla nor Zola likes the propoşal.
B. Zola likes the proposal, but Kukla does not.
C. Kukla likes the proposal, but Zola does not.
D. Ollie's proposal is not feasible.
E. Kukla and Zola both like the proposal

E

Explanation:

In this question, we are told to state what the reaction of Koka and Zola will be;

Kukla and Zola both like the proposal. As according to the given opportunity cost for Kukla (3 rugs per every 4 tables) she can get 1.5 rugs for 2 tables .But with the offer made now she can get 2 rugs for giving 2 tables.

Given the opportunity cost for Zola ( 2 tables per every 3 rugs ) she must give 3 rugs for getting 2 tables. But with the offer made she can now get 2 tables for giving away only 2 rugs .

So both Kukla and Zola are happy with the offer.

i mean they dont have to

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.