Which of the following statements is true regarding a movement along a demand curve? a) it describes the relationship between quantity sold and price, assuming other factors are constant. b) it determine the marginal revenue a company has to achieve in order to be profitable. c) it takes into consideration variation in all the demand factors when plotting the demand curve. d) it implies the profits of a company have improved significantly. e) it is unaffected by changes in consumer tastes and their income.

The correct answer is option a and e.

Explanation:

A movement along the demand curve means that other things being constant there is a change in quantity demanded due to change in the price. An upward movement shows a decrease in quantity demanded due to an increase in price while a downward movement shows an increase in the quantity demanded due to a decrease in the price.

Other factors such as the income of the consumer, population, price of substitutes and complements, tastes and preferences of the consumer etc are assumed to be constant.

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.