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OleMash [197]
4 years ago
7

17.2 in expanded form

Mathematics
2 answers:
mart [117]4 years ago
6 0
10+7+.02 is the answer

cricket20 [7]4 years ago
4 0
10+7+0.2=17.2, hope I helped!
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The volume of a _________ is equal to ___ the volume of a cylinder that has the same base and height. The formula for the volume
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cone, \frac{1}{3} , \frac{1}{3} \pi r^{2}h , \pi r^{2}, base, h, height, same, \frac{1}{3} , \frac{1}{3} , 3

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The volume of a cone is equal to \frac{1}{3} the volume of a cylinder that has the same base and height. The formula for the volume of a cone is \frac{1}{3}\pi  r^{2}h.  stands for the area of the base and h is the height of the cone. Knowing this, we could quickly find the volume of a cone that has the same base and height as a cylinder with a volume of 9 cubic cm. Since the volume of a cone is \frac{1}{3} the volume of a cylinder (with the same base and height), we would multiply 9*\frac{1}{3} to obtain a volume of 3 cubic cm.

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What is x if n≠m? Please help!
lorasvet [3.4K]

Answer: x = \frac{mn(q - p)}{n-m}\\\\

================================================

Work Shown:

Part 1

\frac{x-m}{m} + p = \frac{x-n}{n} + q\\\\\frac{x-m}{m} - \frac{x-n}{n} = q - p\\\\\frac{n(x-m)}{mn} - \frac{m(x-n)}{mn} = q - p\\\\\frac{xn-mn}{mn} - \frac{xm-mn}{mn} = q - p\\\\\frac{xn-mn-(xm-mn)}{mn} = q - p\\\\

Part 2

\frac{xn-mn-xm+mn}{mn} = q - p\\\\\frac{xn-xm}{mn} = q - p\\\\\frac{x(n-m)}{mn} = q - p\\\\x(n-m) = mn(q - p)\\\\x = \frac{mn(q - p)}{n-m}  \\\\

-------------------------------

Explanations:

  • There are quite a bit of steps. I decided to break things into two parts.
  • The goal is to get x all by itself on its own side, which is why I subtracted (x-n)/n from both sides in part 1, step 2. I also subtracted p from both sides.
  • Afterward, I gave each fraction the LCD mn. I multiplied top and bottom of the first fraction by n/n. I did a similar operation to the second fraction, but with m instead.
  • From there, we distribute and simplify. The mn terms cancel on the left side numerator (second step of part 2).
  • The n≠m is there to prevent the denominator (n-m) from being zero. We cannot divide by zero.
  • If the formulas don't properly display, then you might have to refresh the page.
7 0
3 years ago
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