What is 1 2/3m + 2 = 2 1/6? Solve for m and show your work please.

Mathematics

1 answer:

RUDIKE [14]3 years ago

5 0

Answer:

m = 1/10

Step-by-step explanation:

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A farmer wants to build a new grain silo. The shape of the silo is to be a cylinder with a hemisphere on top, where the radius o

Aleks04 [339]

Answer:

about 10.24 ft

Step-by-step explanation:

The formula for the volume of a cylinder is ...

V = πr²h . . . . where h is the height and r is the radius

The formula for the volume of a sphere is ...

V = (4/3)πr³ = πr²·(4/3r) . . . . equivalent to a cylinder of height 4/3r

We have a cylinder of height 3d = 3(2r) = 6r. It has half a sphere on top, so the equivalent height of that is (1/2)·(4/3r) = 2/3r.

Then our total volume is equivalent to a cylinder with radius r and height (6 2/3)r = (20/3)r. That is, ...

22,500 ft³ = πr²·(20/3)r = (20π/3)r³

Multiplying by the inverse of the coefficient of r³, then taking the cube root, we have ...

r = ∛(22,500·3/(20π)) ft ≈ 10.24 ft

The radius of the silo should be about 10.24 feet.

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3 years ago

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G=x-c/x. for x<br><br>how do yoy make this an equation for x? help

zzz [600]

1.
$\displaystyle \text{if }\quad G=x- \frac{C}{x} \\\\$

$x \neq 0$

Multiply both sides by x:

$\displaystyle Gx=x\bigg(x- \frac{C}{x}\bigg )\\\\Gx=x^2-C$

Subtract from both sides Gx:
$Gx-Gx=x^2-C-Gx\\x^2-Gx-C=0$

Then solve this equation:

$\displaystyle x^2-Gx-C=0\\\\x_{1,2}= \frac{G\pm \sqrt{G^2+4C} }{2}$

2.
$\displaystyle\text{if}\quad G= \frac{x-C}{x}$

$x \neq 0$

Multiply both sides by x:

$Gx=x-C$

Subtract from both sides Gx:

$x-C-Gx=0$

Then solve this equation:

$\displaystyle x-Gx-C=0\\x(1-G)=C\\x= \frac{C}{1-G}$

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3 years ago

How to convert 108 km/ h to m/seconds? Please show the steps.

Natasha_Volkova [10]

Answer:

108 kilometers per hour = 30 meters per second

So, 108 kilometers per hour = 108 × 0.27777777777778 = 30 meters per second.

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3 years ago

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Y/x^2 + y/x^3<br><br>perform the operation and express your answer as a single fraction

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