we are given the expression csc (2 pi / 3 ) and is asked to evaluate the expression. According to the trigonometric identities, the inverse of cosecant (CSC) is sine (sin) function. hence using the calculator in radians mode, sin 2pi/3 is equal to 2/sqrt 3. Taking the reciprocal of the answer, the final answer is 2 sqrt3 over 3.
This problem can be solved in two ways, the long way, or the short way.
1. The long way
We know that the base of the triangle is along the x-axis, and the length of the base is 20.
The centre of mass is located at 2/3 of the distance from vertex (3,4) along the median, which cuts the base at (10,0).
Therefore the centre of mass is located at
x=3+(10-3)*2/3=23/3
y=4/3
2. The short way
It turns out that the centre of mass of a triangle sheet is located at the mean of the coordinates of the three vertices, i.e.
CG=((0+20+3)/3, (0+0+4)/3)=(23/3, 4/3) as before.
Answer:
hello! in short the answer is B! i took the test and didnt do very good but id thought id share this to help some people!
much love!~ chi chi
Answer:
Concept: Higher Level Mathematics
- You have a density curve, aka probability
- You are asked to find the height
- Hence 0-40F has 40 total integers or values of X(probability)
- Hence you have a total Area of
- Integrate f(x) to get 0.025.
- Hence the answer is A
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