The height of a street light is 54 feet. it casts a 32−foot shadow. at the same time, a man standing next to the street light casts a 4−foot shadow. how tall is the man? if needed, round the answer to the nearest hundredth.

Which statement most accurately describe why the division property of exponents does not apply to the expression (-8)^2/(-3)^4

    choose the correct definition for  extremo.  a.  end      b.  extra      c.  extract      d.  eventual 

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?