questions from tmsca13/uild

[armesty]

57. A car accelerates from rest with an acceleration a=5000t mph/(hr x sec), where t is time in sec. How far has the car traveled when t = 8 sec?

60. Regular Heptagon and Circle- find the side of heptagon

umm, well the circle is inscribed in the heptagon and the shaded area is the area of the heptagon minus the area of the circle. The shaded area is 19.7

36. Mary invests $8000 for 5 years. She would make $500 more if the interest was compounded continuously instead of quarterly. What is the annual interest rate?

38. A ball is thrown at a speed of 37 mph at an angle greater than 45 degrees above the horizontal. If the ball is caught 60ft away at the same height it was thrown, how long was it in the air?

[AuSmith]

57. Integrate once to get velocity.

[unparseable or potentially dangerous latex formula]

Integrate again to get displacement.

[unparseable or potentially dangerous latex formula]

plug in [unparseable or potentially dangerous latex formula].

60. You know there is some constant [unparseable or potentially dangerous latex formula] so that the area of a heptagon with apothem (radius of the inscribed circle) [unparseable or potentially dangerous latex formula] is [unparseable or potentially dangerous latex formula]. To find k, all you need to do is find the area of a heptagon with apothem 1. Find the length of a side [unparseable or potentially dangerous latex formula]: [unparseable or potentially dangerous latex formula]. The heptagon is the sum of [unparseable or potentially dangerous latex formula] triangles, each with area [unparseable or potentially dangerous latex formula], so [unparseable or potentially dangerous latex formula] (you solved for [unparseable or potentially dangerous latex formula] earlier). We're given

[unparseable or potentially dangerous latex formula]. Solve [unparseable or potentially dangerous latex formula]. Solve for the side.

36. [unparseable or potentially dangerous latex formula], or [unparseable or potentially dangerous latex formula]. EQN solver?

38. I always have to derive these. [unparseable or potentially dangerous latex formula]?

[unparseable or potentially dangerous latex formula]

solve for [unparseable or potentially dangerous latex formula] where [unparseable or potentially dangerous latex formula]