Abuilding that is 245 feet tall casts a shadow of various lengths x as the day goes by. an angle of elevation θ is formed by lines from the top and bottom of the building to the tip of the shadow. find the rate of change (in radians per foot) of the angle of elevation dθ/dx when x = 300 feet.

Step-by-step explanation:

given,

height of the building = 245 ft

distance between the shadow and the bottom of the building = x

to find angle of elevation dθ/dx when x = 300 feet.

180 square centimeters

step-by-step explanation:

mr. flanders’ class sold 47 doughnuts and   mr. rodriquez’s class sold 38 cartons of milk

step-by-step explanation:

let x be the number of doughnuts sold by mr. flanders’ class and y be the number of cartons sold by mr. rodriquez’s class.

1. together, the classes sold 85 items, then

x+y=85.

2. both classes earn earned $104.49 for their school. if doughnuts were sold for $1.35 each, then x doughnuts costed $1.35x. if cartons of milk were sold for $1.08 each, then y cartons costed $1.08y. hence,

1.35x+1.08y=104.49.

3. solve the system of two equations: