Answer:
three angles of a polygon are each 105.5,the sum of the angles in the polygon is 2520. find each of the other angles if they are equal to each other. For a polygon with n sides and n angles, the sum of the measures of all the interior angles equals (n-2)180 degrees. 16-3=13
You add 2 to 8 to get 10. I decided on that because that's just what you do for simple addition. ;)
Answer:
A) -sqrt(3)/3
Step-by-step explanation:
If you know your unit circle (attached), 11pi/6 has the value of (sqrt(3)/2,-1/2), where the coords are (cosine, sine).
Tangent is sine/cosine:
(-1/2)/(sqrt(3)/2)
We can convert this to multiplication by miltiplying the reciprocal of sqrt(3)/2:
(-1/2)*(2/sqrt(3))
Multiplied out to:
-2/(2sqrt(3))
We have to rationalize this by multiplying the numerator and denominator by sqrt(3):
-2(sqrt(3))/2sqrt(3)(sqrt(3)
two of the same square roots multiplied together equals the number without the sqrt:
-2(sqrt(3))/2*3
we can factor out 2 from the numerator and denominator:
-sqrt(3)/3
Therefore, the answer is A
The turning point is known as the vertex when we talk about parabolas. The vertex is either the highest point or the lowest point. In this case, it is the lowest point.
<h3>The graph shows the turning point at (-2, -1)</h3>
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The term "root" is another term for "x intercept". This is where the graph crosses or touches the x axis.
<h3>The two roots are (-3, 0) and (-1, 0)</h3>
Since the y coordinate of any x intercept is always y = 0, we can state "the roots are -3 and -1" to indicate what is in bold above, just in a shortened way.
Side note: the x coordinate of the vertex is always halfway between the x coordinates of both roots of any parabola. The vertical axis of symmetry passes through the vertex.