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Vinvika [58]
3 years ago
6

A cone has height h and a base with radius r. You want to change the cone so its

Mathematics
1 answer:
Y_Kistochka [10]3 years ago
3 0

9514 1404 393

Answer:

  a) h/2

  b) r/√2 = (r√2)/2

Step-by-step explanation:

a) The volume of a cone is proportional to height. If the volume is halved, then the height will be halved.

The new height will be h/2.

__

b) The volume is proportional to the square of the radius. If the volume is halved, the square of the radius is halved. The new radius will be ...

  (r')² = r²/2

  r' = r/√2 = (r√2)/2 . . . radius of half-volume cone

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Pls help me asap !!!!!
Phantasy [73]

Answer:

9

Step-by-step explanation:

This is a right triangle.  We can use the Pythagorean theorem to determine the missing side.

a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse

a^2 + 12 ^2 = 15^2

a^2 +144 =225

a^2 = 225-144

a^2 = 81

Taking the square root of each side

a = 9

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2 years ago
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Firdavs [7]

Answer:

9, 16, 23, 30

Step-by-step explanation:

The arithmetic means are the terms of an arithmetic sequence, that is

2, a₂, a₃, a₄, a₅, 37

The nth term of the sequence is

a_{n} = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 2 and a₆ = 37 , that is

a₁ + 5d = 37

2 + 5d = 37 ( subtract 2 from both sides )

5d = 35 ( divide both sides by 5 )

d = 7

Then

a₂ = a₁ + 7 = 2 + 7 = 9

a₃ = a₂ + 7 = 9 + 7 = 16

a₄ = a₃ + 7 = 16 + 7 = 23

a₅ = a₄ + 7 = 23 + 7 = 30

The 4 arithmetic means between 2 and 37 are 9, 16, 23, 30

4 0
2 years ago
What is the awenser of 1/3 divided by 1/4
Reika [66]
It would be 4/3 because 1/3 times 4/1 is 4/3
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3 years ago
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They show times when Christine wasn’t moving.
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Svetach [21]
\frac{x^2-4x+3}{x^2-9}=\frac{x^2-x-3x+3}{(x-3)(x+3)}=\frac{x(x-1)-3(x-1)}{(x-3)(x+3)}=\frac{(x-1)(x-3)}{(x-3)(x+3)}=\frac{x-1}{x+3}So the answer is D.


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3 years ago
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