Total number of times cube was rolled = 100.
Total number of times a 6 was rolled = 27.
Probability of rolling a 6 =
Total number of times coin was tossed = 100.
Total number of times a head was tossed = 41.
Probability of tossing a head =
Therefore, probability of rolling a 6 and tossing a head =
First thing to do is to change the radians to degrees so it's easier to determine our angle and where it lies in the coordinate plane.
. If we sweep out a 210 degree angle, we end up in the third quadrant, with a 30 degree angle. In this quadrant, x and y are both negative, but the hypotenuse, no matter where it is, will never ever be negative. So the side across from the 30 degree reference angle is -1, and the hypotenuse is 2, so the sine of this angle, opposite over hypotenuse, is -1/2
I would say either 110 or 131 if I might be wrong so check with a protractor first.
For a segment AB, the coordinates of the middle point C are:
xc=(xa+xb)/2,
yc=(ya+yb)/2.
Now, you know points A and C. Thus we get:
xb=2×xc-xa
yb=2×yc-ya
With numerical values:
xb=2×2-(-1)=4+1=5
yb=2×3-(-5)=6+5=11
Answer: B(5, 11)