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babunello [35]
2 years ago
13

Please help..

Mathematics
1 answer:
dexar [7]2 years ago
8 0

9514 1404 393

Answer:

  (d)  2/3(11)

Step-by-step explanation:

The height of the cylinder is h=2r, so the volume of the cylinder in terms of radius is ...

  V = πr^2·h = πr^2·(2r) = 2πr^3

The volume of the sphere is given by the formula ...

  V = (4/3)πr^3

So, the ratio of the sphere volume to the cylinder volume is ...

  sphere volume / cylinder volume = ((4/3)πr^3)/(2πr^3) = (4/3)/2 = 2/3

That is, the sphere volume is ...

  sphere volume = (2/3) × (cylinder volume)

  V = (2/3)(11)

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Find the slope of the line that passes through (2, 12) and (5, 10).
Darina [25.2K]

The right answer is -2/3

please see the attached picture for full solution

Hope it helps..

Good luck on your assignment..

6 0
3 years ago
Read 2 more answers
-5/4-(-1/6) help please
tiny-mole [99]
A way to add fractions that always works is to multiply each numerator by the denominator of the other, then express the sum of products over the product of the denominators.
\dfrac{a}{b}+\dfrac{c}{d}=\dfrac{a}{b}\cdot\dfrac{d}{d}+\dfrac{c}{d}\cdot\dfrac{b}{b}\\\\=\dfrac{ad+bc}{bd}

Here, you have
\dfrac{-5}{4}-\dfrac{-1}{6}=\dfrac{-5\cdot6-(-1)\cdot4}{4\cdot6}=\dfrac{-26}{24}\\\\=\dfrac{-13}{12}=-1\frac{1}{12}

The sum is -1 1/12
3 0
3 years ago
Can someone help please<br> what get doesn't show on these graphs
Julli [10]

Answer: The answer is no solution

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7 0
2 years ago
<img src="https://tex.z-dn.net/?f=%5Csf%2020%3D9x-7" id="TexFormula1" title="\sf 20=9x-7" alt="\sf 20=9x-7" align="absmiddle" cl
Temka [501]

Answer:

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Add-on:

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8 0
2 years ago
Read 2 more answers
at maximum speed, an airplane travels 1720 miles against th wind in 5 hours. Flying with the wind, the plane can travel the same
iragen [17]

Answer:

x = 387

Step-by-step explanation:

The wind acts in the opposite direction to the plane when the time is longer.

The wind acts in the same direction as the plane when the time is shorter.

Equation

d = r*t

Givens

  • d = 1720
  • x = plane's speed
  • y = wind speed
  • t1 = 5 hours
  • t2 = 4 hours.

Substitution

  • d = (x + y) * t
  • 1720 = (x + y) * 4
  • 1720 = (x - y) * 5

Since the two distances are the same, you can equate the right hand sides.

  • (x + y) * 4 = (x - y)*5              Remove the brackets.
  • 4x + 4y = 5x - 5y                  Add 5y to both sides
  • 4x + 4y + 5y = 5x - 5y + 5y  Combine all the terms.
  • 4x + 9y = 5x                          Subtract 4x from both sides
  • 9y + 4x - 4x = 5x - 4x           Combine
  • 9y = x

Now use one of the given equations with the distance

  • 1720 = (x + y)*4           Substitute 9y for x
  • 1720 = (9y + y) *  4      Combine
  • 1720 = 10y * 4             Multiply the right
  • 1720 = 40y                  Divide by 40
  • 1720/40 = 40y/40      Do the division
  • 43 = y                          y = wind speek
  • 9y = x                          x = 9*y  
  • 9*43 = x
  • x = 387 miles per hour.
4 0
3 years ago
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