In the diagram below, given that XY = 3cm, XZY = 30° and YZ = x, is it possible to solve for x using the theorem of Pythagoras? Motivate your
answer.
X
3 cm
30°
Y
Z​

Agood for which demand increases as income rises is and a good for which demand increases as income falls is

In june 2009, at the trough of the great recession, the bureau of labor statistics announced that of all adult americans, 140,196,000 were employed, 14,729,000 were unemployed and 80,729,000 were not in the labor force. use this information to calculate: a. the adult population b. the labor force c. the labor-force participation rate d. the unemployment rate

Suppose farmer lane grows and sells cotton in a perfectly competitive industry. the market price of cotton is $1.64 per kilogram, and his marginal cost of production is $1.44 per kilogram, which increases with output. assume farmer lane is currently earning a profit. can farmer lane do anything to increase his profit in the short run? farmer lane: a. cannot do anything to increase his profit. b. may or may not be able to increase his profit. c. can increase his profit by raising his price. d. can increase his profit by producing more output. e. can increase his profit by shutting down.