Ted and Joe each consume peaches, x, and plums, y. The consumers have identical utility functions, with Together, they have 10 peaches and 10 plums. Verify whether each of the following allocations is on the contract curve: a) (1 marks) Ted: 8 plums and 9 peaches; Joe: 2 plums and 1 peach. b) (1 marks) Ted: 1 plum and 1 peach; Joe: 9 plums and 9 peaches.

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.

answer; dogs;

reducing the scale of the market for a new product.

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