The GCF is the largest number that can go into both the terms. Since "y" isn't in both terms, it can't include y. x, however, is, so we know our GCF has x in it. What's the largest whole number that can go into 32 and 18? 2. Your GCF is <span>2x.
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Exact Area = 98pi
Approximate Area = 307.8760800518 (use calculator stored version of pi)
Approximate Area = 307.72 (using pi = 3.14)
Units are in square millimeters
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Explanation:
In 60 seconds, the hand sweeps out a full circle of radius 14. The area of this circle is
A = pi*r^2 = pi*14^2 = 196pi
Half of this is what the hand sweeps out in 30 seconds, so A/2 = (196pi)/2 = 98pi is the exact area it sweeps out. Your calculator would then show 98pi = 307.8760800518 approximately
If instead you use pi = 3.14, then the approximate area is 98*3.14 = 307.72
angle EPF = angle DPG
=> 4x + 48deg = 7x
=> 3x = 48 deg
=> x = 16
=> angle EPF = 4(16) +48 = 112deg
The first equation tells you that 
. If you substitute this expression for 
in the second, we have
And we can deduce 
to get the LCD we should start by doing a quick prime factoring of each denominator, as you see in the picture below.
the factors in red are the common factors to all values, and they are used in the LCD only once, the other not common factors in blue, they're used in the LCD.
