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3 years ago

Find the volume of each sphere. Round to the nearest tenth.

Mathematics

2 answers:

dexar [7]3 years ago

4 0

I agreeeee with his answer

bazaltina [42]3 years ago

3 0

Answer:

267946.7

Step-by-step explanation:

here's the formula

V=4 /3πr3

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Find+the+positive+value+for+α+if+the+radius+of+the+circle+3x^2+3y-6αx+12y-3α=0+is+4

Alik [6]

Answer:

$\alpha=3$

Step-by-step explanation:

<u>Equation of a Circle</u>

A circle of radius r and centered on the point (h,k) can be expressed by the equation

$(x-h)^2+(y-k)^2=r^2$

We are given the equation of a circle as

$3x^2+3y^2-6\alpha x+12y-3\alpha=0$

Note we have corrected it by adding the square to the y. Simplify by 3

$x^2+y^2-2\alpha x+4y-\alpha=0$

Complete squares and rearrange:

$x^2-2\alpha x+y^2+4y=\alpha$

$x^2-2\alpha x+\alpha^2+y^2+4y+4=\alpha+\alpha^2+4$

$(x-\alpha)^2+(y+2)^2=r^2$

We can see that, if r=4, then

$\alpha+\alpha^2+4=16$

Or, equivalently

$\alpha^2+\alpha-12=0$

There are two solutions for $\alpha$ :

$\alpha=-4,\ \alpha=3$

Keeping the positive solution, as required:

$\boxed{\alpha=3}$

8 0

3 years ago

Please help 12+2x-14x+8=

bulgar [2K]

Answer:

-12x+20

Step-by-step explanation:

12+2x-14x+8

Add constants: 20+2x-14x

Add variables: 20-12x

Reorder: -12x+20

8 0

3 years ago

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Point X of triangle XYZ is located at (-5, -6). If triangle XYZ is translated 3 units

bonufazy [111]

Answer:

(-6,-9)

Step-by-step explanation:

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3 years ago

The length of one rectangle is 4 and the width is 2x-6. The length of another rectangle is 1/2 and the width is 6x+2. How much l

Assoli18 [71]

The answer is that the first one is not the longer one the second one is.
the first one equals 2
the second one equals 5

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3 years ago

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maksim [4K]

Answer:

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Step-by-step explanation:

Espero te sirva

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3 years ago

Find the volume of each sphere. Round to the nearest tenth.​

Find the volume of each sphere. Round to the nearest tenth.