5. A cargo plane weighed 500,000 pounds. After the first load was taken off, the airplane weighed 437,981 pounds. Then 16,478 more pounds were taken off. What was the total number of pounds of cargo
removed from the plane? Is your answer reasonable? Explain.

A total of 78,497 pounds of cargo was removed from the plane.

Step-by-step explanation:

I got my answer by subtracting 437,981 from 500,000 to get 62,019. After, I added the additional 16,478 pounds that were taken off after to get my total of 78,497. My answer is reasonable because after double-checking with my calculator, I noticed I did not make any mistakes and my answer checked out, therefore validifying my answer. Hope this helps and have a good rest of your day/ night :)

false.

step-by-step explanation:

false.

cavalieri's principle makes that statement about the volumes, not about the areas.

intensity of the vector is v= √37 ≈ 6.08 units and make angle ∡α ≈ 9.46° with east direction

step-by-step explanation:

required vector is consists of the two componentsvx= 2+4=6 units   and vy= 1 unit and vx ⊥ vywe will use pythagorian theorem to find intensity of the vector vv∧2 = vx∧2 + vy∧2 => v = √vx∧2 + vy∧2 = √6∧2 + 1∧2 = √36+1 = √37 ≈ 6.08 unitsthe angle ∡α between vector and east direction we wil find with tanαtanα = 1/6 => α = arc tanα = arc 1/6 => α ≈ 9.46°

hope this