To add these radicals together their radicands must be the same:

8\( \sqrt{28} \) + 5\( \sqrt{7} \)
8\( \sqrt{4 \times 7} \) + 5\( \sqrt{7} \)
8\( \sqrt{2^2 \times 7} \) + 5\( \sqrt{7} \)
(8)(2)\( \sqrt{7} \) + 5\( \sqrt{7} \)
16\( \sqrt{7} \) + 5\( \sqrt{7} \)

Now that the radicands are identical, you can add them together:

To add these distances, they must share the same unit so first you need to first convert the swim distance from meters (m) to kilometers (km) before adding it to the bike and run distances which are already in km. To convert 400 meters to kilometers, divide the distance by 1000 to get 0.4km then add the remaining distances:

total distance = swim + bike + run
total distance = 0.4km + 30.6km + 12.200000000000001km
total distance = 43.2km

A number in scientific notation has the format 0.000 x 10^exponent. To convert to scientific notation, move the decimal point to the right or the left until the number is a decimal between 1 and 10. The exponent of the 10 is the number of places you moved the decimal point and is positive if you moved the decimal point to the left and negative if you moved it to the right:

0.0006022 in scientific notation is 6.022 x 10^-4

To divide fractions, invert the second fraction and then multiply:

\( \frac{2}{7} \) ÷ \( \frac{3}{8} \) = \( \frac{2}{7} \) x \( \frac{8}{3} \)

To multiply fractions, multiply the numerators together and then multiply the denominators together:

\( \frac{2}{7} \) x \( \frac{8}{3} \) = \( \frac{2 x 8}{7 x 3} \) = \( \frac{16}{21} \) = \(\frac{16}{21}\)

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 60% the radius (and, consequently, the total area) increases by \( \frac{60\text{%}}{2} \) = 30%