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IrinaK [193]
3 years ago
11

Is 3^100/3^99 greater than,less than, or equal to 3??

Mathematics
1 answer:
oksian1 [2.3K]3 years ago
6 0

Answer:

\frac{3^{100}}{3^{99}} = 3

Step-by-step explanation:

\frac{a^{m}}{a^{n}}=a^{m-n}, m>n\\\\

Therefore,

\frac{3^{100}}{3^{99}}=3^{100-99}=3^{1}=3\\\\\frac{3^{100}}{3^{99}} = 3

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Find the volume of the cylinder if the height is 3 mm and the diameter is 40 mm. Leave the answer in terms of it.
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The Volume of cylinder is 3770 cubic millimeters

But, the correct option is not available in options given.

Step-by-step explanation:

Height of cylinder = 3mm

Diameter of cylinder = 40mm

Volume of cylinder = ?

The formula used to find Volume of cylinder is:

Volume = \pi r^2h

Putting values in the formula:

Since we need radius,

radius = diameter/2

radius = 40/2

radius = 20 mm

So,

Volume = \pi r^2h\\Volume = 3.14*(20)^2*3\\Volume = 3.14*400*3\\Volume= 3769.91 or \,\,\,Volume\approx 3770\,\,cubic\,\,millimeters

The Volume of cylinder is 3770 cubic millimeters

But, the correct option is not available in options given.

Keywords: Volume of cylinder

Learn more about Volume of cylinder at:

  • brainly.com/question/12497249
  • brainly.com/question/6443737
  • brainly.com/question/12613605

#learnwithBrainly

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