\(98\% = \frac{98}{100} = \frac{49}{50}\)
\(18(-8c+16) - 13(6+3c)\)
\(-144c + 288 - (78 - 39c)\)
\(\boxed{-105c + 210}\)
-12 + 73.26 - 65.50 = $ -4.24
\((\frac{7}{9})^2 = \frac{7}{9} \cdot \frac{7}{9} = \boxed{\frac{49}{81}}\)
\(\tan(30) = \frac{\sin{30}}{\cos{30}} = \frac{1}{2} \cdot \frac{2}{\sqrt{3}} = \boxed{\frac{\sqrt{3}}{3}}\)
\(1 + \frac{5}{6} = \boxed{1 \frac{5}{6} \quad \text{or} \quad \frac{11}{6}}\)
Add 3 zeros on the end. Here are a few examples:
23 * 1000 = 23,000
4 * 1000 = 4,000
29438 * 1000 = 29,348,000
This tutorial should help you:
https://www.varsitytutors.com/hotmath/hotmath_help/topics/fraction-operations#:~:text=1)%20Find%20the%20least%20common,the%20result%20with%20the%20denominator.
If the coordinates of the original point are (x, y), the coordinates after rotating 90 degrees clockwise are (y, -x).
Let the length of FJ be x. Because of the triangle inequality, the sum of two sides must be greater than the third.
10 + 26 > x
10 + x > 26
26 + x > 10
Simplifying, we get the following:
36 > x
x > 16
x > -16
The greatest integer length of x is 35.