Use the Law of Sines (sina/A=sinb/B=sinc/C for any triangle)
x/sin90=12/sin19
x=12/sin19
x≈36.86 to nearest hundredth
Answer:
C. Each side in the pre-image is multiplied by three to find the corresponding side length in the image.
Step-by-step explanation:
The scale factor multiplies every linear dimension in the pre-image. It is the ratio of image dimensions to pre-image dimensions.
So, for a scale factor of 3, each side in the pre-image is multiplied by 3.
The correct answer is the first one
Answer:
definitely theoretical. Seems how mom packed the lunch 3/5 times a week, the pattern will follow
Step-by-step explanation:
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>
