A right triangle has side 14 and hypotenuse 50. Use the Pythagorean Theorem to find the length of the third side.

1. are the triangles similar and if so why? what is the value of x? show your work.

Asphere has a diameter of 10 in. what is the volume of the sphere?

Acompany manufactures large valves, packed in boxes. a shipment consists of 1500 valves packed in 75 boxes. each box has the outer dimensions 1.2 x 0.8 x 1.6 m and the inner dimensions 1.19 x 0.79 x 1.59 m. the boxes are loaded on a vehicle (truck + trailer). the available capacity in the vehicle combination is 140 m3. each valve has a volume of 0.06 m3. - calculate the load factor on the box level (%). - calculate the load factor on the vehicle level (%). - calculate the overall load factor (%).