The large rectangle's dimensions are three times the dimensions of the small rectangle. 23.1 ft
49.2 ft
a. How many times greater is the perimeter of the large rectangle compared to the perimeter of the small rectangle?
The perimeter of the large rectangle is
times greater
b. How many times greater is the area of the large rectangle compared to the area of the small rectangle?
The area of the large rectangle is times greater.
. Are the answers to parts (a) and (b) the same? Explain why or why not.
The answers are
because perimeter is measured in
and area is measured in
What happens in parts (a) and (b) if the dimensions of the large rectangle are two times the dimensions of the small rectangle?

Asmall (but heavy) particle placed in a glass of water will follow a zigzag motion because the particle will bounce off of the water molecules it meets. this is called brownian motion. a physicist simulates this on a computer, by varying the distance a particle can travel (called the mean free length), on average, before it collides with a water molecule and assigning the change in motion to be one of 8 directions, each with a similar probability. by running the simulated particle (with the same mean free length) many times she determines that it should take 15 seconds, on average, for the particle to fall to the bottom, with a standard deviation of 1.5 seconds. next she lets a real particle fall through a glass of water and finds that it took 18 seconds. what does she conclude, and why?

Find the roots of the equation below. x^2 - 6 + 9 = 0

Hector and alex traded video games. alex gave hector one fourth of his video games in exchange for 6 video games. then he sold 3 video games and gave 2 video games to his brother. alex ended up with 16 video games. how many video games did alex have when he started?