Parallelogram area = base * height
30 = 10 * height
height = 3
Sine Parallelogram Angle = height / side
Sine (Angle) = 3 / 6
Sine Angle = .5
Angle = 30 degrees
Answer:
Should be 36°
Step-by-step explanation:
If you add up the angle measurements of the shape, it should equal 360° (This applies to all shapes)
So 360° divided by 10 (# of angles)= 36° (Per angle)
Answer:

Step-by-step explanation:
To calculate the distance GH use the distance formula
GH = √ ( x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = G(0, - 3) and (x₂, y₂ ) = H(8, 1)
GH = 
=
= 
Answer:

Step-by-step explanation:
-9b + b = 2b - (b + 1)
Let's simplify by taking out the parenthesis.
-9b + b = 2b - b - 1
Now, we add like terms.
-8b = b - 1
Now, let's subtract b from both sides of the equal sign in order to isolate b.
-8b - b = b - 1 - b
Simplify!
-9b = -1
Divide both sides by -9.
-9b ÷ b = -1 ÷ -9
Simplify.

The number of trials = 10
Probability of success (getting a 3) is p = 1/6
Probability of failure (not getting a 3) is q = 1 - 1/6 = 5/6
The probability of one success after 10 trials is given by the binomial distribution as
₁₀C₁ p¹ q⁽¹⁰⁻¹⁾ = 10*(1/6)*(5/6)⁹ = 0.323
Answer: 0.323