Suppose a man who is 6ft tall is standing below a lamppost that is 20ft tall. the man is walking away for the lamppost at a rate of 5ft per second. 1. if the man is moving 5ft per second, make a conjecture as to the rate that his shadow is moving.

2. how far away from the lamppost is the man after 8 seconds?

3. how far is the end of his shadow from the bottom of the lamppost after 8 seconds? use similar triangles to solve this problem.

The chart shows the costs and shipping times for materials that a company needs to build a new product. which describes the best trade-off if the company needs to start building their product within the next two years? they should order the domestic materials because it is always best to choose the fastest shipping time. they should order the imported materials because it is always best to choose the lowest cost for materials. since the shipping time is longer, they should order the domestic materials because the additional cost is worth it to get the materials in time. even though the shipping time is longer, they should order the imported materials because they are less expensive and should arrive in plenty of time to build the product.

Why should the wavelength scale of spectroscope be calibrated

1. study the scenario. the particles in some system are moving around quickly. a few minutes later, the particles are moving, on average, more slowly. how does this change in motion affect the temperature of the system? the temperature of the system did not change. the speed of the particles does not affect temperature, the number of particles affects the temperature.the temperature of the system is lower now than it was initially. faster moving particles result in a higher temperature for the system.the temperature of the system is higher now than it was initially. slower moving particles result in a higher temperature for the system.the temperature of the system did not change. the speed of the particles has no effect on the temperature, only the type of atom affects the temperature.