Answer:
a =
and b =
Step-by-step explanation:
As we know, the radius of the unit circle is 1 unit (it is the hypotenuse in the right triangle, the blue line)
We use trigonometric formulas to find out a and b
- Sin(45) = opposite side / hypotenuse
<=> Sin(45) = b / 1
<=> b= Sin(45)*1 =
- Cos(45) = adjacent side / hypotenuse
<=> Cos(45) = a / 1
<=> a = Cos(45)*1 = 
So: a =
and b =
Answer:
6
Step-by-step explanation:
The range of a data set is the numbers covered by the data. This means that the range is the difference between the minimum and maximum. The minimum is the smallest point, 2, and the maximum is the largest point, 8. Therefore, since 8-2=6, 6 must be the range.
Answer:

Step-by-step explanation:
So we have the equation:

Add 2 to both sides. The left cancels:

Divide both sides by 6. The left cancels:

So, the value of x is -1.
And we're done!
So,
To find the median, arrange all the numbers from least to greatest.
10, 31, 36, 36, 38, 42, 47, 48, 49, 52
The middle two numbers are 38 and 42. Take their average.
40
40 is the median of 10, 31, 36, 36, 38, 42, 47, 48, 49, and 52.