1) $375
500 *.25= 125
500-125= 375
2) (5/8)* 32= 20 girls in class
(3/8)* 32= 12 BOYS in class
4) 19+42+X=87
62+X= 87 (add 19 and 42 together )
X=25 ( subtract 87 from 62)
We know that 2/3 in decimal would be : 0.6666666666
if it needed to rounded to the nearest hundredth, the number will be :
66.67 %
Hope this helps
Recall that
cos²(<em>x</em>) + sin²(<em>x</em>) = 1
Then in the equation
1 - cos(<em>x</em>) = 2 - 2 sin²(<em>x</em>)
we can rewrite as
1 - cos(<em>x</em>) = 2 (1 - sin²(<em>x</em>))
1 - cos(<em>x</em>) = 2 cos²(<em>x</em>)
2 cos²(<em>x</em>) + cos(<em>x</em>) - 1 = 0
Factorize the left side as
(2 cos(<em>x</em>) - 1) (cos(<em>x</em>) + 1) = 0
so that
2 cos(<em>x</em>) - 1 = 0 <u>or</u> cos(<em>x</em>) + 1 = 0
cos(<em>x</em>) = 1/2 <u>or</u> cos(<em>x</em>) = -1
On the interval (-<em>π</em>, <em>π</em>) (note that this interval is open, so we don't allow <em>x</em> = <em>π</em>), we have
• cos(<em>x</em>) = 1/2 for <em>x</em> = <em>π</em>/3 and <em>x</em> = -<em>π</em>/3
• cos(<em>x</em>) = -1 for <em>x</em> = <em>π</em>
The correct option is B. Work that is easily understood, and appreciated
is supported.
When used in a less formal situation as a substitute to "Thank you," stating "Much appreciated" is acceptable to express gratitude for what someone has done for you. It's not polite to sign off with "Much appreciated" in some circumstances, such as an official email.
On the other hand, using "much appreciated" in a conversation that is typically informal can be a little more official. It could be a prompt thank-you to a friend who took care of something for you or gave you information that you needed.
Disclaimer
Work that is easily understood and appreciated is supported while more complex work goes unnoticed. Choose the correct option.
A) NO CHANGE
B) Work that is easily understood and appreciated
is supported,
C) Work that is easily understood, and appreciated
is supported
D) Work—that is easily understood and
appreciated—is supported,
Learn more about appreciated here
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The side length in the y-direction is 9-6 = 3 units. (sides ab and cd)
The side length in the x-direction is 7-2 = 5 units. (sides bc and ad)
