Braden is training for a triathlon and needs to swim a certain distance for today's workout. If he swims at the rec center pool, he will complete a 100-meter warmup and then swim laps in a lane that is 30 meters long. If Braden swims at the indoor pool at his gym, he will complete a 300-meter warmup, plus a main set that consists of 20 meters per lap. If Braden swims the correct number of laps, he can complete the same distance in either pool. How long will Braden's workout be in total? Write a system of equations, graph them, and type the solution.

Jack lives on a farm and has a large backyard. the area of his rectangular backyard is of a square mile. if the width of the yard is of a mile, what fraction of a mile is the length of the rectangular backyard?

You have learned about the six trigonometric functions, their definitions, how to use them, and how to represent them graphically. the sine, cosine, and tangent trigonometric functions can be paired with their reciprocal functions, cosecant, secant, and cotangent, respectively. think about how each function is related to its reciprocal function.how are the graphs of the reciprocal functions related to their corresponding original functions? what happens to the graphs of the reciprocal functions as x approaches the zeros of the original functions? describe how you would teach friends with different learning styles (visual-spatial, aural-auditory, verbal-linguistic, physical-bodily-kinesthetic, logical-mathematical, social-interpersonal, and solitary-intrapersonal) how to graph the reciprocal functions

The construction of copying qpr is started below. the next step is to set the width of the compass to the length of ab. how does this step ensure that a new angle will be congruent to the original angle?