Fun, geometry disguised as probability.
That's a pentagon, which we can view as 10 right triangles with legs a and s/2 (half of s) and hypotenuse r. So area of the pentagon is
P = 10 × (1/2) a (s/2) = 10 (1/2) (3.2) (4.7/2) = 37.6
The area of the circle is πr² so the circle area is
C = π (4²) = 50.265482
The white area is the difference, C-P, and the probability we seek is the fraction of the circle that's white, so (C-P)/C.
p = (C-P)/C =1-P/C = 1-37.6/50.265482 = 0.251971
Answer: 0.25
Higher than I would have guessed from the figure.
Given that the volume of a cell is 50 cubic micrometers. It says to find the number of cells present in 1 cubic centimeter.
So we need to first convert the units of volume of a cell, then we can find the total number of cells in 1 cubic centimeter.
We know 1 meter = 100 centimeters = 1000000 micrometers
So 1 centimeter = 10000 micrometers
Taking Cubic powers on both sides :-
1 cubic centimeters = 10¹² cubic micrometers
1 cubic micrometers = 10⁻¹² cubic centimeters
50 cubic micrometers = 50 × 10⁻¹² = 5 × 10⁻¹¹ cubic centimeters
So volume of one cell = 5 × 10⁻¹¹ cubic centimeters
Number of cells = 
= 2 × 10¹⁰ cells.
So, total number of cells = 2 × 10¹⁰ cells.
Answer:
If it has a diameter of 10, divide it by 2 to get Radius (5) because Area = πr²
Then you do r * π *r which would be 78.5. so C is your answer.
Step-by-step explanation:
Answer:
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Answer:
B: 192pi - 144
Step-by-step explanation:
Area of the sector = (120/360) * pi * r^2
Area of the sector = 1/3 * pi * 24 * 24
Area of the sector = 192 * pi
Now to find the area of the triangle.
The triangle is an isosceles triangle That means two of its sides are equal. They are equal to the radius of the circle, which is 24.
the small angles are equal to
2x + 120 = 180 Subtract 120 from both sides
2x = 60 Divide by 2
x = 60/2
x = 30
The height of the triangle is derived from sin(30) = opposite / hypotenuse
sin(30) = 1/2
hypotenuse = 24
1/2 = opposite / hypotenuse
1/2 = opposite / 24 Multiply both sides by 24
1/2 * 24 = opposite
opposite = 12
The height = 12
r = 24
Area of the triangle = 1/2 * 12 * 24
Area of the triangle = 144
So the area of the shaded area = 192*pi - 144 which looks like B
