Question

Plss help answer THIS ​

Answer 1

(i)
`t = \sqrt{(100)/(576) }`

(ii)
`m = (12nt^2)/(5)`

Explanation:

(i) We are given the formula:
`t=\sqrt{(5m)/(12n) }` .

To answer the first question all we have to do is put the values we have been given into the formula. So we put
`m=20` and
`n=48` into the formula.

This gives us:
`t=\sqrt{(5*20)/(12*48) }` then simplify to get
`t = \sqrt{(100)/(576) }` . I would just keep it in this form.

(ii) This second part is basically just asking us to rearrange the formula so that we get
`m =` something.

Start of with:
`t = \sqrt{(5m)/(12n) }`

We need to see how we can start isolating the
`m` part of the formula. To do this we need to get rid of the square root. So do the inverse of square rooting which is squaring. Squaring both sides we get:
`t^2 = (5m)/(12n)`.

When we square the left side we get
`t^2` but when we square the right side we just cancel out the square root so it leaves us with whatever is inside.

Now we need to continue trying to get
`m` by itself. We can see that next we need to multiply both sides by
`12n`, which will cancel out the
`12n` on the right side but multiply the
`t^2` by
`12n`,

So now we get
`12nt^2 = 5m`.

Finally we can see that we have
`5` lots of
`m` but we only want
`m`. Divide both sides by
`5`:
`(12nt^2)/(5) = m`