Answer:
60
Step-by-step explanation:
You get a 6 12 times out of the total 100 times. If you multiply that by 5, you get 60 times per every 500 rolls
For

and

, it's helpful to remember the half-angle identities:


So


For

, the Pythagorean identity suffices:

which means

since

.
Answer:
A=584.57
Step-by-step explanation:
Answer:
π
Step-by-step explanation:
Solve for x on the interval [0, 2pi]
Given the equation
Sinx = cosx + 1
Square both sides of the equation
Sin²x = (cos x + 1)²
Sin²x = cos²x + 2cos x + 1
Since Sin²x = 1 - cos²x
1 - cos²x = cos²x + 2cos x + 1
Collect like terms
1-1-cos²x-cos²x-2cos x = 0
-2cos²x-2cos x = 0
-2cos²x = 2cos x
-cosx = 1
cos x = -1
x = arccos -1
x = 180 degrees
<em>Hence the value of x = π</em>