Naz is swimming the English Channel from France to England. A few minutes ago, she was swimming in calm waters at a velocity (speed and direction) . The direction of is due north, and the speed is 8 km/h. Now, however, she has encountered a current. Without changing the way she swims, she is now moving at a velocity . The direction of is 20° west of north, and the speed is 12 km/h.

(Assume "due east" is 0°, "due north" is 90°, etc.)

What is the speed of the current? (Round to the nearest hundredths)

In what direction is the current flowing? (Round your final answer to the nearest degree, your answer should be between 0° and 360°.)

All help is appreciated, thank you! Please note: I will not accept links to answers nor answers that are incomplete, inappropriate, and irrelevant to the topic. Any answers like those WILL be reported and moderators will deal with them correspondingly. Once again, thank you for your help!

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?

Evaluate 3(a + b + c)squared for a = 2, b = 3, and c = 4. a. 54 b. 243 c.729 add solution .

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