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igor_vitrenko [27]
3 years ago
15

PLEASE HELP ME

Mathematics
2 answers:
shtirl [24]3 years ago
8 0

Answer:

A ✓5 is the irrational number.

Step-by-step explanation:

Have a good day. :)

givi [52]3 years ago
6 0

Hello.

A rational number can be expressed as a fraction.

Let's check if we can express the given numbers as fractions.

The first number is √5.

Can we express √5 as a fraction? No.

Why? Because √5=2.236...

We cannot express this number as a fraction.

Thus, √5 is irrational.

Let's check the other 3 numbers.

The second number is -2.

Can we express -2 as a fraction? Sure!

\displaystyle-\frac{2}{1}

Thus, -2 is rational.

What about the third number?

Well, it's already a fraction.

Seems like Option A is the right option, huh? Well, let's check the last one as well.

The last one is √9.

9 does have a square root, unlike 5.

It equals 3:

√9=3

Let's express 3 as a fraction:

\displaystyle\frac{3}{1}

Therefore, Option A is the right option ;)

I hope it helps.

Have a great day.

\boxed{imperturbability}

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andreyandreev [35.5K]

Answer:

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Step-by-step explanation:

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The square of the area is ...

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Substituting for r² using the expression above, we have ...

  T = π²(3V/(πh))((3V/(πh) +h²) = 9V²/h² +3πVh

We want to find the minimum, which we can do by setting the derivative to zero.

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The optimal radius is 2.632 cm; the optimal height is 3.722 cm.

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The second derivative test applied to T finds that T is always concave upward, so the value we found is a minimum.

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Interestingly, the ratio of h to r is √2.

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