exam Maths Puzzle Numerical Ability

There is a pole in a lake. One half of the pole is in the ground, another one third of it is covered with water, and 10ft is out of water. What is the total length of the pole in ft?

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exam Other Question
Let J be the jacobian and j the jacobian of the inverse. I need to show that J*j=1. Using tensor notation. Can you help me? Factor out the negative of the greatest common factor:

- 6 b + 24