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3 years ago

Fill in the blank to make an equivalent answer ___:30=3.5

Mathematics

2 answers:

Annette [7]3 years ago

8 0

The answer is 7 I think

Aneli [31]3 years ago

5 0

3.5 x 30= 105

105 divided by 30= 3.5

Hope this helps some

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4 years ago

A triangular lamina has vertices (0, 0), (0, 1) and (c, 0) for some positive constant c. Assuming constant mass density, show th

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Then the center of mass of L is the point $(\bar x,\bar y)$ with coordinates given by

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where $M_x$ is the first moment of L about the x-axis, $M_y$ is the first moment about the y-axis, and m is the mass of L. We only care about the y-coordinate, of course.

Let ρ be the mass density of L. Then L has a mass of

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Now we compute the first moment about the y-axis:

$\displaystyle M_y = \iint_L x\rho\,\mathrm dA = \rho \int_0^c\int_0^{1-\frac xc}x\,\mathrm dy\,\mathrm dx = \frac{\rho c^2}6$

Then

$\bar y = \dfrac{M_y}m = \dfrac{\dfrac{\rho c^2}6}{\dfrac{\rho c}2} = \dfrac c3$

but this clearly isn't independent of c ...

Maybe the x-coordinate was intended? Because we would have had

$\displaystyle M_x = \iint_L y\rho\,\mathrm dA = \rho \int_0^c\int_0^{1-\frac xc}y\,\mathrm dy\,\mathrm dx = \frac{\rho c}6$

and we get

$\bar x = \dfrac{M_x}m = \dfrac{\dfrac{\rho c}6}{\dfrac{\rho c}2} = \dfrac13$

8 0

3 years ago

Fill in the blank to make an equivalent answer ___:30=3.5​

Fill in the blank to make an equivalent answer ___:30=3.5