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larisa86 [58]
3 years ago
15

alex needs to buy compressed air to fill 5 empty cylindrical tanks for his store. each tank is 12 feet deep and has a radius of

6 feet what is the volume of compressed air needed?
Mathematics
1 answer:
Yanka [14]3 years ago
4 0
Volume of a cylinder = the area of the base x height of the cylinder
Area of base = \pir^2
A = 6^2(\pi)
A = 36\pi
V = 36\pi x 12
V = 432\pi

5 cylinders = 5V

5V = 5 x (432\pi)
5V = 2160\pi

Final answer: Alex needs to buy 2160\pi or 6785.84 cubic feet worth of compressed air to fill all of the cylindrical tanks.
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Please help!!10 points!!
ANTONII [103]

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PLEASE HELP!!!!! Factor completely 16x8 − 1
Delvig [45]

Answer:

see explanation

Step-by-step explanation:

This is a difference of squares and factors in general as

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16x^{8} = ( 4x^{4} )² ⇒ a = 4x^{4}

1 = 1² ⇒ b = 1

Hence

16x^{8} - 1

= (4x^{4} )² - 1²

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4x^{4} - 1 ← is also a difference of squares and factors as

(2x² - 1)(2x² + 1)

Thus

16x^{8} - 1

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Which equation has the same solution as this equation?
lesya [120]

Answer:

3rd Option is correct.

Step-by-step explanation:

Given Equation:

x² - 16x + 12 = 0

First We need to find solution of the given equation.

x² - 16x + 12 = 0

here, a = 1   , b = -16  &  c = 12

x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}

x=\frac{-(-16)\pm\sqrt{(-16)^2-4(12)}}{2}

x=\frac{16\pm\sqrt{256-48}}{2}

x=\frac{16\pm\sqrt{208}}{2}

x=\frac{16\pm4\sqrt{13}}{2}

x=8+2\sqrt{13}\:\:andx=8-2\sqrt{13}

Now,

Option 1).

( x - 8 )² = 144

x - 8 = ±√144

x - 8 = ±12

x = 8 + 12 = 20   and x = 8 - 12 = -4

Thus, This is not correct Option.

Option 2).

( x - 4 )² = 4

x - 4 = ±√4

x - 4 = ±2

x = 4 + 2 = 6   and x = 4 - 2 = 2

Thus, This is not correct Option.

Option 3).

( x - 8 )² = 52

x - 8 = ±√52

x - 8 = ±2√13

x  = 8 + 2√13   and x = 8 - 2√13

Thus, This is correct Option.

Option 4).

( x - 4 )² = 16

x - 4 = ±√116

x - 4 = ±4

x = 4 + 4 = 8  and x = 4 - 4 = 0

Thus, This is not correct Option.

Therefore, 3rd Option is correct.

8 0
3 years ago
what’s the correct answer for this?
Gnoma [55]

Answer:

A.

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98%

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