Luke shaded 20 squares on his hundreds grid Bella shaded 30 squares on her grid what two decimals are greater than Luke's decima
2 answers:
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Answer: r = 1.69 inches
h = 2.15 inches
Step-by-step explanation: Volume of a solid is the amount of space contained within a solid.
Volume of a cone is directly proportional to radius and height:
They want the cones to hold the same volume of 9 cubic inches.
If height is 3:
r = 1.69 inches
When height is 3, radius is 1.69 inches for a cone to have 9 cubic inches of volume.
If radius is 2:
h = 2.15 inches
If radius is 2 inches, height of the cone is 2.15 inches.
The value of x<em> </em>in the polynomial fraction 3/((x-4)•(x-7)) + 6/((x-7)•(x-13)) + 15/((x-13)•(x-28)) - 1/(x-28) = -1/20 is <em>x </em>= 24
<h3>How can the polynomial with fractions be simplified to find<em> </em><em>x</em>?</h3>The given equation is presented as follows;
Factoring the common denominator, we have;
Simplifying the numerator of the right hand side using a graphing calculator, we get;
By expanding and collecting, the terms of the numerator gives;
-(x³ - 48•x + 651•x - 2548)
Given that the terms of the numerator have several factors in common, we get;
-(x³ - 48•x + 651•x - 2548) = -(x-7)•(x-28)•(x-13)
Which gives;
Which gives;
x - 4 = 20
Therefore;
- x = 20 + 4 = 24
Learn more about polynomials with fractions here:
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