The side lengths of a 30-60-90 triangle are in the ratio 1 : 3:2. What is
sin 30°?

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?

Which of the expressions (on the photo document i inserted) together represent all solutions to the following equation? 8cos(12x)+4=-4 *the answer should be in degrees.* > i would like for someone to explain the process to find the solutions for this.

Will make ! for correct answer the dot plot below shows the number of toys 21 shops sold in an hour.is the median or the mean a better center for this data and why? a. median; because the data is not symmetric and there are outliersb. median; because the data is symmetric and there are no outliersc. mean; because the data is symmetric and there are no outliersd. mean; because the data is skewed and there are outliers