Establish the identity.
2 = 1 - sin x
What will be an ideal response?
2 = 
2 = 
- 2
+ 
= 1 - 2
= 1 - 2
= 1 - sin x
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Solve the problem. Assume that simple interest is being calculated in each case. Round the answer to the nearest cent unless otherwise indicated.John Lee's savings account has a balance of $1130. After 9 months, what will the amount of interest be at 5.0% per year?
A. $56.50 B. $125.56 C. $65.51 D. $42.38
Solve the problem.Integrate 
over the region 1 ? x2 + y2 ? 4.
A. ? ln 2 B. 2? ln 2 C. ?(ln 2)2 D. 2?(ln 2)2
Use the following diagram of the streets in a residential neighborhood to answer the question. 
A neighborhood watchman patrols the neighborhood each evening. His patrol must cover each street in the neighborhood, beginning and ending at the marked starting point, P. Describe his "optimal route".
A. the route that requires the least amount of walking, while still covering the whole neighborhood and returning to P. B. the route that requires the least amount of walking, along which he is least likely to come across crime C. the route along which he is least likely to come across crime D. the route that require the least amount of walking, while still covering the whole neighborhood, but not necessarily returning to P E. the route that requires the least amount of walking, by covering most streets in the neighborhood but not retracing any steps and returning to P
Solve the problem.A software development company has offices in three cities: Chicago, Los Angeles, and New York. The Chicago office has 12 programmers, the Los Angeles office has 42 programmers, and the New York office has 84 programmers. Each office is to divide its programmers into project groups such that all groups are the same size no matter which office any particular group happens to be in. What is the largest size the project groups can be?
A. 3 programmers per project group B. 10 programmers per project group C. 6 programmers per project group D. 8 programmers per project group