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malfutka [58]
3 years ago
6

(NEED HELP WILL MARK BRAINLIEST)

Mathematics
1 answer:
Basile [38]3 years ago
6 0

Answer:

All of the above

Step-by-step explanation:

Also, this is a history, not a maths problem

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5²+3³.2³/4³=?<br><br> Thanks...
solong [7]
5^{2} =25 \\  3^{3} =27 \\  2^{3} =8 \\  4^{3} =64 \\  \\ 27.8=216 \\ 216+25=241 \\  \\  \frac{241}{64} =3,76 \\  \\\framebox[1.1\width]{Good Luck!} \par
4 0
3 years ago
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A cone-shaped paper drinking cup is to be made to hold 27 cm of water. Find the height h and radius r of the cup that will use t
andreyandreev [35.5K]

Answer:

  • r = 2.632 cm
  • h = 3.722 cm

Step-by-step explanation:

The formula for the volume of a cone of radius r and height h is ...

  V = (1/3)πr²h

Then r² can be found in terms of h and V as ...

  r² = 3V/(πh)

The lateral surface area of the cone is ...

  A = (1/2)(2πr)√(r² +h²) = πr√(r² +h²)

The square of the area is ...

  T = A² = π²r²(r² +h²)

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.

  dT/dh = -18V²/h³ +3πV

This will be zero when ...

  3πV = 18V²/h³

  h³ = 6V/π . . . . . multiply by h³/(3πV)

For V = 27 cm³, the value of h that minimizes paper area is ...

  h = 3∛(6/π) ≈ 3.7221029

The corresponding value of r is ...

  r = √(3V/(πh)) = 9/√(π·h) ≈ 2.6319242

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

_____

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

__

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

8 0
3 years ago
4) →BRAINLIEST &amp; 10+ POINTS! ← A wheel with diameter 44 cm completes four revolutions in 0.5 seconds. Find the linear speed
madam [21]

Answer:

352 cm/s

Step-by-step explanation:

circ = 44pi

speed = distance * time

distance = circ * 4 = 176pi

speed = 176pi/0.5

3 0
3 years ago
Read 2 more answers
If x = 4, then 5x = 20
Alexandra [31]

Answer:

Step-by-step explanation:

3 0
3 years ago
A suitcase measures 24 inches long and the diagonal is 30 inches long. How much material is needed to cover one side of the suit
azamat

Answer:

I believe you're supposed to solve for the other missing side. If you know a side (a) and the diagonal or also known as the hypotenuse (c), you will be able to solve for the other side using the Pythagorean theorem.

Step-by-step explanation:

a^2+b^2=c^2 Substitute the values for a and c

24^2+b^2=30^2 Solve for the powers

576+b^2=900 Subtract 576 from both sides

b^2=324 Solve for the root of 324

18=b

You would need 18 inches of material to cover one side of the suitcase.

8 0
3 years ago
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