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]
Answer:
5. B
6. J
Step-by-step explanation:
5. The lower left point on the graph is (1, 5). The only answer choice containing this point is choice B.
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6. The "range" is the list of y-values. This is also the list of second values in the ordered pairs of the answer to question 5. They are ...
{5, 6, 10, 15} . . . . matches choice J
First one:
3x+5<23
3x<18 (subtract 5 from both sides)
x<6
So A: less than 6 cars
Second one:
3(x-4)+5(2x+1)
3x-12+10x+5 (distribute)
So the answer is C
Hope this helps
The answer is C
Explanation; there are 2 triangles and 3 rectangles
Hi there!
Since both 4x and 20 can be divisible by 4 and is greatest able to be divisible by 4, we can divide the 4 and put it outside of the parenthesis in order to factor:
4x / 4 = x
20 / 4 = 5
4 (x + 5)
would be your answer.
Hope this helps!
