The centers A, B, C of three congruent circles that have no common points do not lie on the same straight line. From points A, B, C, the six tangents shown in the figure are placed on the circles that enclose a convex hexagon. Prove: The sums of the lengths of three pairs of not immediately adjacent sides of this hexagon are equal, i. e. | PQ | + | RS | + | TU | = | QR | + | ST | + | UP |

The acceleration of an object due to gravity is 32 feet per second squared.what is acceleration due to gravity in inches per second squared?

Eden has a part time job. she is paid ? 7.20 an hour the week she worked 18 and a half hours how much is she paid

The biologist has a second culture to examine. she knows that the population of the culture doubles every 15 minutes. after 1 hour and 15 minutes, her assistant found that 80,000 bacteria were present. a) what was the size of the initial population? b) predict the size of the culture at t=3 hours. what was the size of the population at 40 minutes? explain and justify your answers. c) create a graph of the population as a function of time. find an equation that can be used to predict the size of the population at any time t. d) examine the rate at which the bacteria culture is growing. how fast is the culture growing after 1 hour? after 1.5 hours? after 2 hours? use a time interval of h = 0.01 hours to estimate these rates. interpret these rates in terms of the context of the problem situation. how do these three rates compare?