Ashley has a large rug and a small rug, as shown. Each rug is in the shape of a circle. The radius of the large rug is 3 times the circumference of the small rug. Which of the following statements is true? A.
The area of the large rug is 3 times the area of the small rug.

B.
The area of the large rug is 6 times the area of the small rug.

C.
The area of the large rug is 9 times the area of the small rug.

D.
The area of the large rug is 12 times the area of the small rug.

Given the following similar triangles what is the area of triangle b ? a) 1 b)1.8 c)3.2 d)5

Fiona and her friends are playing a game by guessing where a coin will land when it is randomly dropped inside the square shown below. fiona guesses that the coin is likely to land in the blue area. which explains whether or not fiona is correct and why?

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?