You divide each total amount by the number of persons Popcorn: 48/6 = 8 Licorice: 3 X 48 = 144 144/6 = 24 So each person ate 8 ounces of popcorn and 24 inches of licorice laces
The formula for the volume of a quarter-sphere is simply one-fourth of the volume of the sphere. So the volume of a quarter-sphere:
V = (1/4) (4/3) (π r³)
or
V = (1/3) (π r³)
Since we are given with the radius of 70 feet, the volume is
V = (1/3) (π) (70³)
V = 359,189 cubic feet
Answer:
8:12 or blue to white
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The equation of the tangent line at x=1 can be written in point-slope form as
... L(x) = f'(1)(x -1) +f(1)
The derivative is ...
... f'(x) = 4x^3 +4x
so the slope of the tangent line is f'(1) = 4+4 = 8.
The value of the function at x=1 is
... f(1) = 1^4 +2·1^2 = 3
So, your linearization is ...
... L(x) = 8(x -1) +3
or
... L(x) = 8x -5
Answer:
Step-by-step explanation:
in a right angled triangle angles given are 45,90
Then third angle is also 45 °
as two angles are 45° each.
Then sides are also equal.
Let the equal sides be each =x
then hypotenuse=√(x²+x²)=√(2x²)=x√2
sin 45°=x/(x√2)=1/√2
