Consider a triangle where two sides have fixed lengths 12 cm and 14 cm. suppose the two sides are initially at an angle of α = 2π 3 and that they are closing together so that the angle between them is decreasing at a rate of π 12 radians per second. what is the rate at which the area of the triangle is decreasing when α = π 4 ?

Every rhombus is a square. true false

An equation representing lyle’s hedge-trimming business is a = 12n - 300 where a is the amount of profit or loss in dollars and n is the number of hedges trimmed. how would the graph of lyle’s business change if the equation a = 10n - 300 represented his business? the graph would be flatter. the graph would be steeper. the graph would start closer to the origin. the graph would start lower on the y-axis.

One of the inventors of integrated circuits observed that the number of transistors that fit on an integrated circuit will double every 24 months. what type of relationship most appropriately models this situation?