There are 216 people seated in these two sections of the theater. 18 x 8 = 144, 12 x 6 = 72. 144 + 72 = 216
In a mechanical system, it is a law that energy should be conserved. In this case, what is the initial energy should be equal to the total energy after the motion happened. We do as follows:
PE(at rest) = KE(during motion) + PE(after motion)
51450 J = KE(during motion) + 32781 J
KE(during motion) = 18669 J
5. complementary = 80 degrees
supplementary = 170 degrees
6. complementary = 47.5 degrees
supplementary = 137.5 degrees
7. complementary = 10 degrees
supplementary = 100 degrees
8. false
9. true
10. true
11. true
12. false
13. true
14. false
The 81 balls need to be split into some number of boxes. To figure out how many boxes, we can divide the 81 balls by the 7 ball capacity of a single box.
81/7 = 11.571
This means that we will need 11 full boxes, but there will be a remainder of balls which did not fit. Since we can't have a fraction of a box, we need to round up to 12 boxes to hold all 81 balls.
The answer is 12 boxes.
The correct answer is 2x26