<span>That there is a 95% chance that the Conservative party will win between 64% and 72% of the vote.</span>
The solution would be like this for this specific problem:
Volume of a cylinder = pi * r^2 * h
Volume of a cone = 1/3 * pi * r^2 * h
Total Height = 47
Height of the cone = 12
Height of the cylinder = 35
If the top half is filled with sand, then:
volume (sand) = pi * 4^2 * 36
volume (cone) = 1/3 * pi * 4^2 * 12
Total volume = 1960.353816 cubic millimeters
353816 / (10 * pi) = 62.4 seconds.
It will take 62.4 seconds until all of the sand has dripped to the bottom of the hourglass.
Let x be the degree of angle a.
Angle b: 20+3x
Angle c: 55+x
We know that all angles add up to 180 degrees.
180=x+(20+3x)+(55+x)
180= 5x+75
180-75=5x
105/5=x
21=x
Angle a: 21 degrees
Angle b: 20+3(21) => 83 degrees
Angle c: 21+55 => 76 degrees
Hope I helped :)
Answer:
The difference between the area of the original triangle and the area of the new triangle is 
.
Step-by-step explanation:
The equation for the area of a triangle (
) is:
Where:
- Base, dimensionless.
- Height, dimensionless.
The expression for each triangle are described below:
First Triangle (
, 
)
Second Triangle (
, 
)
The difference between the area of the original triangle and the area of the new triangle is:
The difference between the area of the original triangle and the area of the new triangle is .
Step-by-step explanation:
it's close to 6
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