The red arrows mean the lines are parallel. Since all angles are equal, the larger triangle is similar to the smaller one. Then corresponding sides have the same ratio
(4x -2)/9 = (3x+2)/12
x(4/9 -3/12) = (2/12) +(2/9)
x = (7/18)/(7/36) = 2 . . . . . . . . . corresponding to the 3rd selection
Answer:
The cans are spaced 0.75 miles from each other.
Step-by-step explanation
Since the trash cans are placed at an equal distance we need to divide the total distance they cover by the number of cans that are spread across that distance in order to know how far apart they are. This is shown below:
distance between cans = (total distance)/(number of cans)
distance between cans = 13.5/18
distance between cans = 0.75 miles
The cans are spaced 0.75 miles from each other.
Volume =πr²h
192π = πr²(12) // Plug the value of the volume and the height in
r² = 192π ÷ 12π // divide by 12π on both sides
r² = 16 // Simplify
r = √16 // square root both sides
r = 4
------------------------------------------------------------
Answer: The radius is 4 cm.
------------------------------------------------------------
Answer:
Step-by-step explanation:
A large aquarium has a length of 84 inches. It is located in a large basement that is properly heated and ventilated. The width should be close to 1/2 the length and the height ought to be 1/6 the length. If the fish tank requires that an aerator be placed every 28 inches along the back edge, how many aerators are needed. Note: an aerator is not placed in either corner.
Width =_________________
Height= ________________
Aerators = ______________
Find the number of cubic inches of the fish tank. If an aerator will provide enough oxygen to aerate 5 cubic feet,, do you have enough aerators for the fish to live comfortably? If the answer is no, then how many aerators do you need?
