An object is dropped from a tall building. The distance it falls, measured in feet, in t seconds, is given by d(t) = 16t^2+ 50. Find the average speed of the object over the interval of time [1, 2] seconds. Find the instantaneous speed at t = 2 sec. Express the instantaneous speed as a limit and evaluate the limit.

1yd 1 ft = 1 1/12 1 1/3 1 1/2 1 1/6

Given: lines a and b are parallel and line c is a transversal. prove: 2 is supplementary to 8 what is the missing reason in the proof? statement reason 1. a || b, is a transv 1. given 2. ∠6 ≅ ∠2 2. ? 3. m∠6 = m∠2 3. def. of congruent 4. ∠6 is supp. to ∠8 4. def. of linear pair 5. ∠2 is supp. to ∠8 5. congruent supplements theorem corresponding angles theorem alternate interior angles theorem vertical angles theorem alternate exterior angles theorem

If value of cos330° is √3/2 then find tan165°.