Sure! Let's tackle these questions step by step.
### Question 1: What is 20% of 445?
To find 20% of 445, we use the formula for finding a percentage of a number:
[tex]\[ \text{Percentage} = \left( \frac{\text{percentage rate}}{100} \right) \times \text{whole number} \][/tex]
Here, the percentage rate is 20, and the whole number is 445.
[tex]\[ \text{Percentage} = \left( \frac{20}{100} \right) \times 445 \][/tex]
[tex]\[ \text{Percentage} = 0.20 \times 445 \][/tex]
[tex]\[ \text{Percentage} = 89.0 \][/tex]
So, 20% of 445 is 89.0.
### Question 2: Convert [tex]\(\frac{3}{7}\)[/tex] to a percent (to three significant figures)
To convert a fraction to a percent, we multiply the fraction by 100:
[tex]\[ \text{Percentage} = \left( \frac{3}{7} \right) \times 100 \][/tex]
[tex]\[ \text{Percentage} = 42.8571428571 \][/tex]
Rounding this value to three significant figures, we get:
[tex]\[ \text{Percentage} \approx 42.857 \][/tex]
So, [tex]\(\frac{3}{7}\)[/tex] is approximately 42.857%.
### Final Answers:
1. 20% of 445 is [tex]\( \boxed{89.0} \)[/tex].
2. [tex]\(\frac{3}{7}\)[/tex] is approximately [tex]\( \boxed{42.857} \% \)[/tex].
