Since 4^2=sqrt(16), we can rewrite it as that. In addition, as 2 is a factor of 16, we can rewrite it as sqrt(2)*sqrt(16/2)=sqrt(2)*sqrt(8). Crossing out the sqrt(2), we get sqrt(8) as our answer. To simplify it, we can note that 2^2=4 and 4 is a factor of 8 when multiplied by 2, so we get 2*sqrt(2)
The formula for the area of a circle is A = pi x (radius^2).
We need the radius of the circle in order to use the formula. The radius is equal to 1/2 of the diameter of the circle. The radius goes from the center to one side of the circle, whereas the diameter touches two sides of the circle and goes through the center.
radius = 6 / 2 = 3 units
Remember that a semi-circle is equal to 1/2 of a full circle. So we need to find the area of the whole circle and divide it by 2.
A = pi x 3^2
A = 9pi
A = 4.5pi = 14.13 units^2
Hope this helps! :)
Louisa needs 1.2 liters or 1200 milliliters of lemonade/punch for the picnic.
In a liter, there are 1000 milliliters
In 3 liters, there are 3000 milliliters
Therefore, we can set up an equation to represent how much milliliters Louisa needs.
![3000-1800](https://tex.z-dn.net/?f=3000-1800)
Solve the equation and you should get 1200 milliliters.*
*If you need the number in liters, divide 1200 by 1000 and you should get 1.2 liters
Given that a movie producer conducted a survey after a preview screening of her new
movie to find out how the film would be received by viewers from
different age groups.
Given the table that shows the numbers of viewers in
different age groups who rated the film excellent, good, average, and
poor.
Viewer's Age Group Excellent Good Average Poor Marginal Total
16–25 52 42 12 7 113
26–35 33 50 5 9 97
36–45 58 12 28 34 132
46–55 25 17 22 12 76
56+ 12 5 3 8 28
Marginal Total 180 126 70 70 446
<span>The number of viewers from the 46 - 55 age group who rated the film excellent is 25.
Therefore, the percentage of the total survey group who </span><span>rated the film excellent and also was from the 46-55 age group</span> = 25 / 446 x 100% = 5.61%