Please help me!! (30 POINTS!)

1. Consider this sequence of
performed on shape I: dilation by a scale factor of 2. followed by a reflection across the x-ads, and then a translation left 1 unit. Does the sequence prove that shapes I and IV are similar? Explain your answer.

2. Consider this sequence of transformations applied to shape II: a 90 degree clockwise rotation about the origin, followed by a translation 9 units down and 9 units left, then a dilation by a scale factor of 2. Does applying this sequence of transformations to shape II prove that shapes II and III are similar? Explain your answer.

Find the value of the cosine for angle a

Cot(90° − x) = 1 the value of x that satisfies this equation is °. a. 60 b. 135 c. 225 d. 315

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?