Larijah is creating a circular board game with a spinner with four regions that players use to determine what happens on their turns. She wants to meet these requirements:
- Exactly a third part of the circle should contain the “Lose a Turn” region.
- “Move One Space” should be two times the angle as “Move Two Spaces”.
- “Move Two Spaces” should be three the angle as “Trade Places With Any Opponent”.

What is the measure of the “Trade Places With Any Opponent” region?

Aspacecraft can attain a stable orbit 300 kilometers above earth if it reaches a velocity of 7.7 kilometers per second. the formula for a rocket's maximum velocity v in kilometers per second is vequalsminus0.0098tplusc ln upper r, where t is the firing time in seconds, c is the velocity of the exhaust in kilometers per second, and r is the ratio of the mass of the rocket filled with fuel to the mass of the rocket without fuel. find the velocity of a spacecraft whose booster rocket has a mass ratio of 20, an exhaust velocity of 2.1 km/s, and a firing time of 15 s. can the spacecraft achieve a stable orbit 300 km above earth?