Common Fractions with Decimal and Percent<span> Equivalents ... </span>5/9<span>, 0.555… ... Tables and Formulas · Common Repeating Decimals and Their </span>Equivalent<span> Fractions ...</span>
A. True
The sum of the distances round the shape is the Perimeter.
Answer: 35 more times
How: (if she gets 60 points for each grocery store visit then first do 2580-480=2100. she still needs 2100 points so then 2100/60 = 35 grocery visits!)
The y is going to be 165 if the x is 54 because you need to multiply by 3 each time.
13pi/12 lies between pi and 2pi, which means sin(13pi/12) < 0
Recall the double angle identity,
sin^2(x) = (1 - cos(2x))/2
If we let x = 13pi/12, then
sin(13pi/12) = - sqrt[(1 - cos(13pi/6))/2]
where we took the negative square root because we expect a negative value.
Now, because cosine has a period of 2pi, we have
cos(13pi/6) = cos(2pi + pi/6) = cos(pi/6) = sqrt[3]/2
Then
sin(13pi/12) = - sqrt[(1 - sqrt[3]/2)/2]
sin(13pi/12) = - sqrt[2 - sqrt[3]]/2