Prove the following identity:
tan(theta) sin(theta) + cos(theta) = sec(theta) for real numbers theta, where theta ≠ / 2 + , for all integers k.

The position of a moving particle is given by the position function: f(t)=-9t-t^2-0.2t^3+0.1t^4 0 a. at what time does the particle reverse direction? b. when is the displacement positive? (round one decimal place and answer in interval notation) c. when is the displacement negative? (round one decimal place and answer in interval notation) d. when is the particle’s acceleration positive? (round one decimal place and answer in interval notation) e. when is the particle’s acceleration negative? (round one decimal place and answer in interval notation)

Which ratios are equivalent to 10: 16? check all that apply. 30 to 48 25: 35 8: 32 5 to 15

What is the similarity ratio of a cube with volume 729m^3 to a cube with volume 3375 m^3