To find the average of these 4 numbers add them together then divide by 4:

\( \frac{10 + 8 + 13 + 5}{4} \) = \( \frac{36}{4} \) = 9

The area of a circle is given by the formula A = πr² where r is the radius of the circle. The radius of a circle is its diameter divided by two so A = π(\( \frac{d}{2} \))². If the diameter of the logo increases by 70% the radius (and, consequently, the total area) increases by \( \frac{70\text{%}}{2} \) = 35%

To add these fractions, first find the lowest common multiple of their denominators. The first few multiples of 3 are [3, 6, 9, 12, 15, 18, 21, 24, 27, 30] and the first few multiples of 11 are [11, 22, 33, 44, 55, 66, 77, 88, 99]. The first few multiples they share are [33, 66, 99] making 33 the smallest multiple 3 and 11 share.

Next, convert the fractions so each denominator equals the lowest common multiple:

\( \frac{5 x 11}{3 x 11} \) + \( \frac{9 x 3}{11 x 3} \)

\( \frac{55}{33} \) + \( \frac{27}{33} \)

Now, because the fractions share a common denominator, you can add them:

\( \frac{55 + 27}{33} \) = \( \frac{82}{33} \) = 2\(\frac{16}{33}\)

1

To divide terms with radicals, divide the coefficients and radicands separately:

\( \frac{10\sqrt{16}}{2\sqrt{4}} \)
\( \frac{10}{2} \) \( \sqrt{\frac{16}{4}} \)
5 \( \sqrt{4} \)