12 is not a perfect square, but 4, a factor of 12, is a perfect square. Thus, separate the problem
sqrt(12) into factors as follows:
sqrt(12) = sqrt(4)*sqrt(2) = 2*sqrt(2) (answer)
Answer:
A. Width = 25 Length = 15
Step-by-step explanation:
Length = L = Width - 10
Width = W
Perimeter of a rectangle
=> 2 (L + B) = 80
=> 2 (W - 10 + W) = 80
=> 2 (2W - 10) = 80
=> 4W -20 = 80
=> 4W -20 + 20 = 80 + 20
=> 4W = 100
=> 4W/4 = 100/4
=> W = 25
Width = 25
Length = 25 - 10 = 15
So, the answer is A.
Answer:
14/25
Step-by-step explanation:
0.56=56/100=28/50=14/25
Answer: D. Only in the front of the check
Step-by-step explanation:
The one giving the check signs on the front. The one endorsing it and depositing it signs on the back.
cos4x = cos2x
We know that:
cos2x = 1-2cos^2 x
==> cos4x = 1-2cos^2 (2x)
Now substitute:
==> 1-2cos^2 (2x) = cos2x
==> 2cos^2 (2x) + cos2x - 1 = 0
Now factor:
==> (2cos2x -1)(cos2x + 1) = 0
==> 2cos2x -1 = 0 ==> cos2x =1/2 ==> 2x= pi/3
==> x1= pi/6 , 7pi/6
==> x1= pi/6 + 2npi
==> x2= 7pi/6 + 2npi
==> cos2x = -1 ==> 2x= pi ==> x3 = pi/2 + 2npi.
<span>==> x= { pi/6+2npi, 7pi/6+2npi, pi/2+2npi}</span>
