Use a compound angle formula to develop an equivalent expression for cos3x and use that expression to solve the equation 2cos3x+cos2x+1=0 on the interval 0x2.. Express your answer(s) as exact radians and approximate radians rounded to two decimals where applicable. Show your work. **HINT** express everything in terms of cosx.

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)

Find the measure of angle a in the following triangle

Jenny made a scale drawing of a city. the scale she used was 5 inches = 1 yard. what is the scale factor of the drawing?