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bekas [8.4K]
3 years ago
12

A cone and 2 cylinders are shown below. The volume of the cone is 15 cubic centimeters. Each of the 2 cylinder has the same heig

ht and the same radius as the cone. What is the combined volume. in cubic centimeters, of the 2 cylinders?
5
10
45
90

Mathematics
1 answer:
Grace [21]3 years ago
8 0

Answer:

45

Step-by-step explanation:


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the product of two consecutive integers n and n+1 is 42. what is the positive integer that satisfies the situation?
MrMuchimi
n(n+1)=42 \\
n^2+n=42 \\
n^2+n-42=0 \\ \\
a=1 \\ b=1 \\ c=-42 \\ b^2-4ac=1^2-4 \times 1 \times (-42)=1+168=169 \\ \\
n=\frac{-b \pm \sqrt{b^2-4ac}}{2a}=\frac{-1 \pm \sqrt{169}}{2 \times 1}=\frac{-1 \pm 13}{2} \\
n=\frac{-1 -13}{2} \ \lor \ n=\frac{-1+13}{2} \\
n=\frac{-14}{2} \ \lor \ n=\frac{12}{2} \\
n=-7 \ \lor \ n=6

The positive integer is 6.
The consecutive integers are 6 and 7.
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How do I get to the answer?<br><br> (3 x n) + 4 = 32/2<br><br> What is the value of n?
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If you simplify what's in the bracket, you get 3n

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3n=24/2
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The intersection of the parabola with the x-axis is the solution of this equation. Accordingly, if the parabola does not intersect with the x-axis, there will be no solutions

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