We are given the reference angle of 38∘ and the hypotenuse of 500 yards. We are asked to find the opposite side, so we need to use the sine ratio. __ __ = x/ __
Solve for x rounding to the nearest tenth.
The submarine is ___ yards below sea level.

Astandard american eskimo dog has a mean weight of 30 pounds with a standard deviation of 2 pounds. assuming the weights of standard eskimo dogs are normally distributed, what range of weights would 99.7% of the dogs have? approximately 26–34 pounds approximately 24–36 pounds approximately 28–32 pounds approximately 29–31 pounds

The position of a moving particle is given by the position function: f(t)=-9t-t^2-0.2t^3+0.1t^4 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)

Solve each quadratic equation by factoring and using the zero product property. x^2 - 8x + 30 = 3x