TheThe area of the shaded region if the radius of the outer circle is 4 and the radius of the inner circle is 2 is 12π.
<h3>Area of the shaded region</h3>
Area of a circle = πr²
r =radius of the circle
Area of the outer circle:
Area of the outer circle = π(4)²
Area of the outer circle = 16π
Area of the inner circle:
Area of the inner circle = π (2)²
Area of the inner circle = 4 π
Area of the shaded Region :
Area of the shaded Region = 16π - 4 π
Area of the shaded Region = 12π
Therefore the area of the shaded region if the radius of the outer circle is 4 and the radius of the inner circle is 2 is 12π.
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Answer: D) 0.78
Step-by-step explanation:
Add all the given probabilities to find the answer:
45/100 + 18/100 + 15/100 = 78/100 = 78% or 0.78
Answer: 1 is -17, 2 is -2, 3 is -2.5, 4 is 3, 5 is -3, 6 is -4, 7 is 2.5, 8 is -1, 9 is 4, and 10 is 2.
Step-by-step explanation:
The maximum angle of repose is the<span> maximum angle at which a material can be piled without slumping. The material piled up will form a cone.
If we project the situation on a 2D plane, we get a triangle rectangle (see picture attached). We know one angle and the Opposite side (height) and we need to find the Adjacent side (radius).
Recalling trigonometry formulae:
tan</span>α = O / A
Solving for A:
A = O / tan<span>α
We can now substitute our data (O = 20):
</span>1) Sand, Bank Damp
<span>α = 45°
A = 20 / tan(45)
= 20
The radius is
20 feet.
</span>
2)Sand, Bank Dry
α = 35°
A = 20 / tan(35)
= 28.5629
The radius is
28.6 feet.
3) Sand, core
α = 41°
A = 20 / tan(41)
= 23.0074
The radius is
23 feet.
4) Sand, foundry prepared
α₁ = 30°
A₁ = 20 / tan(30)
= 34.6410
α₂ = 44°
A₂ = 20 / tan(44)
= 20.7106
The radius is between
20.7 and 34.6 feet.
5) Sand, Foundry shakeout
α = 39°
A = 20 / tan(39)
= 24.6979
The radius is
24.7 feet<span>.</span>
