Maths for Diploma Studies

First, we can rearrange our equation starting by moving r across the equals sign by multiplying both sides by r:

Now we move c by subtracting it from both sides:

Then we remove the brackets by taking a square root of both sides:

And finally divide both sides by d:

Now we can input our values:

Then we can cancel our units:

Now we can calculate the numerator line doing the multiplication first:

And take the square root:

And finally divide by the denominator:

Start by rearranging to isolate  by dividing both sides by  :

To move T1 across, we need to change the right-hand side to:

And then subtract T1 from both sides:

Now we can input our figures:

And do the calculations, cancelling our units:

And:

And:

So:

First, we can move gZ to the other side of the equation by dividing both sides by it:

And then make   the subject by adding  to both sides:

Now we input our numbers and units:

Then we do the numerator and denominator calculations in brackets and cancel and combine the units:

Now we complete the calculation in brackets and combine cancelling the units again:

We then convert the derived unit N into the units it is derived from:

And cancel the units:

And finally, complete the calculation:

First, we can start by moving the terms added to  across the equation by subtracting them from both sides.

Then we can isolate x by multiplying both sides by k:

Now we can input our numbers and units:

And now we do the division calculations in the brackets. Notice how dividing 1 (taking a reciprocal) by the number make causes the units to invert:

And now the subtractions:

Here the units cancel out to leave just m: