The lengths of the sides of a triangle are in the ratio 5: 6: 7. describe the length of the longest side if the perimeter is less than 54cm

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?

In a timed typing test lara typed 63 words per minute.estimate the number of words she should be able to type in half in hour show your work

For the right triangle shown, the lengths of two sides are given. find the third side. leave your answer in simplified, radical form.