Notice that
11/12 = 1/6 + 3/4
so that
tan(11π/12) = tan(π/6 + 3π/4)
Then recalling that
sin(x + y) = sin(x) cos(y) + cos(x) sin(y)
cos(x + y) = cos(x) cos(y) - sin(x) sin(y)
⇒ tan(x + y) = (tan(x) + tan(y))/(1 - tan(x) tan(y))
it follows that
tan(11π/12) = (tan(π/6) + tan(3π/4))/(1 - tan(π/6) tan(3π/4))
tan(11π/12) = (1/√3 - 1)/(1 + 1/√3)
tan(11π/12) = (1 - √3)/(√3 + 1)
tan(11π/12) = - (√3 - 1)²/((√3 + 1) (√3 - 1))
tan(11π/12) = - (4 - 2√3)/2
tan(11π/12) = - (2 - √3) … … … [A]
-2m = 16m - 9
First, take '16m' from both sides.
Second, add '-2m - 16m' to get '-18m'.
Third, divide both sides by '-18'.
Fourth, change the fraction into a negative.
Fifth, find the GCF of 9 and 18.
The GCF is 9.
Sixth, divide the numerator by the GCF.

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Seventh, divide the denominator by the GCF.

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Eighth, rewrite the fraction in simplest form.

Answer as fraction:

Answer as decimal:
Answer: option A) 1/3
Justification:
1) The probability that a point chosen at random <span>in the regular hexagon lies in the shaded region is equal to:
area of the shaded region
---------------------------------------
area of the hexagon
2) The hexagon is formed by 6 equal triangles and the shaded area is formed by 2 of those triangles.
3) Therefor,naming x the area of one triangle, the the above fraction is equal to:
area of two triangles 2x
------------------------------- = -------- = 2/6 = 1/3
area of six triangles 6x
And that is the answer: 1/3
</span>
Answer:
YOUR CAMERA IS BAD I CANT SEE ANYTHING
Step-by-step explanation: