Answer:
The circumference is = 10π
The area is = 25π
Step-by-step explanation:
Answer:
a = 50°, b = 130°, c = 20°
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Sum the 3 angles in the right triangle
a + 40° + 90° = 180°
a + 130° = 180° ( subtract 130° from both sides )
a = 50°
a and b are adjacent angles and sum to 180° , so
a + b = 180°
50° + b = 180° ( subtract 50° from both sides )
b = 130°
Then sum the angles in the top triangle, that is
30° + 130° + c = 180°
160° + c = 180° ( subtract 160° from both sides )
c = 20°
Answer:
r= -1.8
Step-by-step explanation:
Distribute
-3-18r=14-7
Combine like terms
-3-18r=7
add 3 to both sides
-18r=10
divide by -18
r=-1.8
Answer:
$ 1.96
Step-by-step explanation:
Number of spots with outcome of $1 = 9
Number of spots with outcome of $2 = 18
Number of spots with outcome of $10 = 1
Total number of spots = 28
Probability that ball will land on $1 = 
Probability that ball will land on $2 = 
Probability that ball will land on $10 = 
The amount that player should expect to win on average in equal to expected value of the game. Expected value is calculated as the summation of product of probabilities with their respective outcomes.
i.e. for this case:
Expected Value will be:

This means, on average the player should expect to win $ 1.96