A rectangle has a length nine inches more than triple its width. If the perimeter of the rectangle is 50 inches, find the dimensions.

Which explanation can be used to informally derive the formula for the volume of a cone? a cylinder is exactly 3 times bigger than a cone with the same height and radius. therefore, the formula for the volume of a cone is 13 of the volume of a cylinder with the same height and radius. a cone is similar to a triangular pyramid except that a cone has curved edges. therefore, the formula for the volume of a cone can be derived by using the formula of a triangular pyramid and using the radius instead of the base length. a cone is approximately the same size as 1.5 spheres. using the formula for the volume of a sphere and multiplying it by 1.5 will give the formula for the volume of a cone. a cone consists of a circle as a base and triangles for its body. the formula for the volume of a cone can be derived by adding the formula for the area of circle and the area of the number of triangles that will cover the body of a cone.

Question 10 of 211 pointuse the elimination method to solve the system of equations. choose thecorrect ordered pair.10x +2y = 643x - 4y = -36a. (4,12)b. (-3, 11)c. (2,10)d. (-5, 8)

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?