Answer:
2.016.
Step-by-step explanation:
We have been given that for a certain font, the scale factor is 1.42 and one of the scale sizes is 2.863.
To find the next smaller scale size we will divide our given scale size by the given scale factor.
[tex]\text{The next smaller scale size}=\frac{2.863}{1.42}[/tex]
[tex]\text{The next smaller scale size}=2.01619718309859[/tex]
Upon rounding our answer to the nearest thousandth we will get,
[tex]\text{The next smaller scale size}\approx 2.016[/tex]
Therefore, the next smaller scale size is 2.016.
