When recording live performances, sound engineers often use a microphone with a cardioids pickup pattern because it suppresses noise from the audience. suppose the microphone is placed 5 m from the front on the stage and the boundary of the optimal pickup region is given by the given cardioids, where r is measured in meters and the microphone is at the pole. the musicians want to know the area they will have on stage within the optimal pickup range of the microphone. the answer should be in two decimal places. r = 10 + 10sin(θ)

Why is alternating current more effective at long–distance travel than direct current? a. the power lines are made out of conductors. b. transformers increase or decrease voltage as needed. c. the ac generator is more efficient. d. ac has lower voltage than dc.

Imagine you work as a consultant, and your daily job involves listening to the constructive criticism of others. as part of your job, you must listen to opposing viewpoints to make important decisions. in this activity, you are a consulting dam engineer. you must make a decision about four different dams; should they be repaired, taken down, or left alone? you will listen to contrasting opinions about what should be done with the dams before you make the final decision. as the consulting dam engineer, what do you decide to do with this dam? explain your reasoning. by making your decision, did you support the opinions of the mayor and/or the dam safety official? why or why not? (site 1)

Time remainin52: 42the chart shows data for a moving object. which conclusion is best supported by the information inthe chart? time (s)velocity (m/s