Two ropes, ad and bd, are tied to a peg on the ground at point d. the other ends of the ropes are tied to points a and b on a flagpole, as shown below:

angle adc measures 45 degrees and angle bdc measures 30 degrees. what is the distance between the points a and b on the flagpole?

3.66 feet
6.34 feet
1.55 feet
2.74 feet

20 only answer if 100% sure most high school-aged teens are very active. a. true b. false

Abus travels 36 miles in 45 minutes. enter the number of miles the bus travels in 60 minutes at this rate.

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)