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A square based pyramid with corners ABCD has side length 6 cm. The distance from the centre of the square (C) to the top vertex of the pyramid (V) is 4 cm. Work out the total surface area of the pyramid.

The first thing I would do with this question is to draw it out to help visualise the shape.From this drawing you can see that the shape has 4 triangle shaped faces (let's call this triangle T1) and 1 square...
ME
Answered by Matthew E. Maths tutor
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Use your knowledge of Water Potential applied to the GIT to describe what can cause or prevent Constipation

Water Potential is the measure of the ability of water molecules to move freely in solution. A solution of pure water where there is no solute and all of the water molecules are free to move, the water poten...
TM
Answered by Teresa M. Biology tutor
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An exoplanet of mass 1.36x10^26 kg is orbiting a star of mass 3.2x10^31 kg at a distance of 1 AU. What is the magnitude of the gravitational force between the two?

We use Newtons equation for gravitational force. F=GMm/r 2 .1 AU is the mean distance at which the Earth orbits the Sun, taken to be: 1.49x10 11 m.Substituting in the numbers we find the magnitude of the for...
RC
Answered by Rory C. Physics tutor
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A bomb of mass 34kg, at rest is detonated. The explosion splits the bomb into two pieces, one of mass 13kg, which is thrown to the left at a velocity of 28 m/s. What is the velocity of the second piece?

In a collision where no external forces act linear momentum is conserved.Convention: Right + left -0=-13x28 + 21xVV=17.33 kg m/s to the right
RC
Answered by Rory C. Physics tutor
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You have a five-litres jug, a three-litres jug, and unlimited supply of water. How would you come up with exactly four litres of water (with no measuring cup)?

You fill the 5-litres jug, and pour it into the 3-litres jug until it's full (now you have 2 litres in the 5-litres jug). Then, you pour out the 3-litres jug completely. Now, you pour the 2 litres from the 5...
DG
Answered by Diana G. Maths tutor
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