Find the dimensions of the rectangle of the largest area that can be inscribed in a right triangle with the legs of lanes 3 cm and 4 cm if two sides of the rectangle lie along the lines

Which of the following pair(s) of circles have las a common external tangent? select all that apply. a and b a and c b and c

How many ordered pairs of positive integers satisfy xy=32?

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?