Use the formula
n(n-1)/2
which is the total number of connections between n points
So,
4(3)/2 = 6
the answer is option C.
Hope this helps
Answer:
229.2
Step-by-step explanation:
Remark
There's a lot in this question. The x is not just any x. It is defined and limited by its relationship with the sine function.
The Sin is defined as Opposite over Hypotenuse in a right triangle. The 670 is the Hypotenuse. You know that by the definition of Sine.
So one thing you should always keep in mind: the x because of where it is in the definition, will always be smaller than the Hypotenuse. So you should get a value less than 670.
Formula
Just as you have it
Sin(20) = x / 670
Solution
Multiply both sides by 570
670 * sin(20) = x
sin(20) = 0.3420
x = 670 * 0.3420
x = 229.2
This relation is a function. This is because no x value is repeated, so it passes the vertical line test.
Here is an example of where a relation is NOT a function:
{(2, 5), (3, –5), (2, 5), (5, –5)}
Hope this helps!