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exis [7]
3 years ago
9

Plz help me plz I need help I will mark brainlest for the answer​

Mathematics
1 answer:
Alexxx [7]3 years ago
6 0

Answer:

2/3

Step-by-step explanation:

Simplifying the Complex Fraction

Convert Mixed Numbers to Fractions

56114=5654

Method 1 : LCD Multiplication

The LCD for 6 and 4 is 12

Multiply top and bottom by the LCD

12×5612×54=1015

convert to mixed numbers and

reduce fractions where possible

=1015=23

Method 2 : Fraction Division

Divide the top fraction by the bottom

(multiply top by reciprocal of bottom)

56÷54

=56×45

=2030

convert to mixed numbers and

reduce fractions where possible

=2030=23

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A polygon is regular when all angles are equal and all sides are equal (otherwise it is "irregular").

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[25 POINTS] A cylinder has a volume of 400π cm3. Find the dimensions that minimize its surface area.
miss Akunina [59]

Answer:

r = 5.848cm, h = 11.696cm

Step-by-step explanation:

Surface area: SA=2\pi rh+2\pi r^2

Volume: V=\pi r^2h

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SA=2\pi r(\frac{V}{\pi r^2})+2\pi r^2\\\\SA=\frac{2V}{r}+2\pi r^2\\\\SA=\frac{2(400\pi)}{r}+2\pi r^2\\\\SA=\frac{800\pi}{r}+2\pi r^2

We now find the derivative of the surface area of the cylinder with respect to its radius and set it equal to 0, solving for the radius:

\frac{d(SA)}{dr}=-\frac{800\pi}{r^2}+4\pi r

0=-\frac{800}{r^2}+4\pi r

0=800\pi+4\pi r^3

-800\pi=4\pi r^3

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r\approx5.848

If 0If [tex]r>5.848, then the surface area of the cylinder increases

Therefore, the surface area is minimized when the radius is r=5.848cm, making the minimum height h=\frac{V}{\pi r^2}=\frac{400\pi}{\pi(5.848)^2}\approx11.696cm.

In conclusion, the 2nd option is correct.

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2 years ago
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Step-by-step explanation:

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the 2nd one. I got it correct

Step-by-step explanation:

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