A sector with a central angle measure of \purpleD{\dfrac{7\pi}{4}} 4
7π
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start color #7854ab, start fraction, 7, pi, divided by, 4, end fraction, end color #7854ab (in radians) has a radius of \maroonD{16\,\text{cm}}16cmstart color #ca337c, 16, start text, c, m, end text, end color #ca337c.

Ricardo ran the 400 meter race 3 times his fastest time was 54.3 seconds his slowest time was 56.1 seconds if his average time was 55.0 seconds what was his time for the third race

Both the red and blue line segments stretch from the center of the circle to a point on the circle. the length of the blue segment is 5. how long is the red line segment?

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)