Both of these changes happen simultaneously in a market: the supply of good X falls and the demand for good X rises. This will result in: a. an increase in both the equilibrium price and quantity in the market.
b. an increase in the equilibrium quantity and an uncertain impact on the equilibrium price
c. a decrease in both the equilibrium price and quantity in the market.
d. an increase in the equilibrium price and an uncertain impact on the equilibrium quantity.

d.

Explanation:

This scenario will result in an increase in the equilibrium price and an uncertain impact on the equilibrium quantity. This is because when customers in a market want a product but there is very little supply exists it makes the product more valuable and thus increases the price since consumers are willing to pay more for that product to get their hands on it. Scarcity increases price always, but while the supply and demand of a product are not the same this causes an uncertain impact on the equilibrium quantity.

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.

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