where t is the number of hours worked by Natalle
Here, we want to write an equation that will represent the given scenario
Let the number of hours for which she earned the pay be t
From the question, she earns $11 per hour
So for t hours, the amount earned excluding the tip will be;
Now, let us add the tip and equate to the total amount earned
We have this as;
Here, we want to find the diagonal of the given solid
To do this, we need the appropriate triangle
Firstly, we need the diagonal of the base
To get this, we use Pythagoras' theorem for the base
The other measures are 6 mm and 8 mm
According ro Pythagoras' ; the square of the hypotenuse equals the sum of the squares of the two other sides
Let us have the diagonal as l
Mathematically;
Now, to get the diagonal, we use the triangle with height 5 mm and the base being the hypotenuse we calculated above
Thus, we calculate this using the Pytthagoras' theorem as follows;