Suppose a ladder 20 feet long is placed against a vertical wall 20 feet high. how far would the top of the ladder move down the wall by pulling out the bottom of the ladder 5 feet? explain your reasoning.

What is the volume of a cone with a height of 6 cm in the radius of 2 cm

Which of the following is best modeled using a linear equation y=ax+b, where a is less than 0?

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?