Answer:
C. And the reference angle is pi/3
Step-by-step explanation:
Let me give you a little quick way to do this. You’re probably trying to memorize the unit circle and figure out what 2pi/3 equals. However, all you need is a bit of math.
Start with the denominator and multiply the numerator by its correct angle
Anything with 3 in it’s denominator, is a multiple of a 60 degree angle. The numerator is 2 so do 60 x 2, which equals 120. Your angle is 120 and will land in the top left quadrant.
Moving on to the reference angle. Think of this as being what you have left on the horizontal axis. The angle took up 120 degrees. Now find the rest. 180 - 120 = 60. Pi/3 equals 60 degrees
Answer:
Step-by-step explanation:
![(4\sqrt{81})^{6} = (4*\sqrt{9*9} )^{6}\\\\=(4*9)^{6}\\\\=(2^{2}*3^{2})^{6}\\\\=[(2*3)^{2}]^{6}\\\\=(6)^{2*6}\\\\=6^{12}](https://tex.z-dn.net/?f=%284%5Csqrt%7B81%7D%29%5E%7B6%7D%20%20%3D%20%284%2A%5Csqrt%7B9%2A9%7D%20%29%5E%7B6%7D%5C%5C%5C%5C%3D%284%2A9%29%5E%7B6%7D%5C%5C%5C%5C%3D%282%5E%7B2%7D%2A3%5E%7B2%7D%29%5E%7B6%7D%5C%5C%5C%5C%3D%5B%282%2A3%29%5E%7B2%7D%5D%5E%7B6%7D%5C%5C%5C%5C%3D%286%29%5E%7B2%2A6%7D%5C%5C%5C%5C%3D6%5E%7B12%7D)
Exponent Laws:
Answer:
5x^2 + 3x + 4
Step-by-step explanation:
Rewrite (2x^2+x+3)+(3x^2+2x+1) vertically, and then combine like terms:
(2x^2+ x +3)
+(3x^2+2x + 1)
---------------------
5x^2 + 3x + 4
1953-1944=9 years (that's the years)
9 months between them
thus she was 9 years and 9 months
