(This is an adapted question from a previous AMC 12 problem) Suppose a, b, c are real numbers such that a + b + c = 7 and a² + b² + c² = 33.
Let f(a) = sin(a - 2) - 202020/202021, where a is bounded by the parameters found above. Given that ⌊a³⌋ has only 1 possible value when f(a) ≥ 0, find ⌊a³⌋.
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Which expression shows the sum of the polynomials with like terms grouped together

You are at a restaurant and owe $38 for your meal. you want to leave a 20% tip. how much will your tip be?

In each of the cases that follow, the magnitude of a vector is given along with the counterclockwise angle it makes with the +x axis. use trigonometry to find the x and y components of the vector. also, sketch each vector approximately to scale to see if your calculated answers seem reasonable. (a) 50.0 n at 60.0°, (b) 75 m/ s at 5π/ 6 rad, (c) 254 lb at 325°, (d) 69 km at 1.1π rad.