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Alexeev081 [22]

3 years ago

10

The cheerleaders are making a banner that is 8 feet wide. The length of the banner is 1 1/3 times width of the banner. How long

is the banner?

1 answer:

eduard3 years ago

3 0

Answer:

The banner is 10 2/3 ft long

Step-by-step explanation:

1 1/3 = 4/3 times the width of the banner:

4/3 * 8 feet wide = 4/3 * 8 = 32/3 = 10 2/3 feet long

The banner is 10 2/3 feet long. :)

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What is the difference of the fractions? Use the number line to help find the answer.<br> -<br> T0

dybincka [34]

Answer:

-7/10

Step-by-step explanation:

3 0

3 years ago

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Use the divergence theorem to calculate the surface integral s f · ds; that is, calculate the flux of f across s. f(x, y, z) = x

valkas [14]

$\mathbf f(x,y,z)=x^4\,\mathbf i-x^3z^2\,\mathbf j+4xy^2z\,\mathbf k$
$\mathrm{div}(\mathbf f)=\dfrac{\partial(x^4)}{\partial x}+\dfrac{\partial(-x^3z^2)}{\partial y}+\dfrac{\partial(4xy^2z)}{\partial z}=4x^3+0+4xy^2=4x(x^2+y^2)$

Let $\mathcal D$ be the region whose boundary is $\mathcal S$ . Then by the divergence theorem,

$\displaystyle\iint_{\mathcal S}\mathbf f\cdot\mathrm d\mathbf S=\iiint_{\mathcal D}4x(x^2+y^2)\,\mathrm dV$

Convert to cylindrical coordinates, setting

$x=r\cos\theta$
$y=r\sin\theta$

and keeping $z$ as is. Then the volume element becomes

$\mathrm dV=r\,\mathrm dr\,\mathrm d\theta\,\mathrm dz$

and the integral is

$\displaystyle\iiint_{\mathcal D}4x(x^2+y^2)\,\mathrm dV=\int_{\theta=0}^{\theta=2\pi}\int_{r=0}^{r=1}\int_{z=0}^{z=r\cos\theta+7}4r\cos\theta\cdot r^2\cdot r\,\mathrm dz\,\mathrm dr\,\mathrm d\theta$
$=\displaystyle4\iiint_{\mathcal D}r^4\cos\theta\,\mathrm dz\,\mathrm dr\,\mathrm d\theta$
$=\dfrac{2\pi}3$

4 0

4 years ago

What is true of an equilateral triangle? Two of its side lengths are equal. All its side lengths are equal. None of its side len

KIM [24]

Answer:

<u><em>All its side lengths are equal </em></u>

<u><em></em></u>

<u><em></em></u>

<u><em>(and all the agle of 60°)</em></u>

<u><em></em></u>

<u><em></em></u>

Step-by-step explanation:

What is true of an equilateral triangle? Two of its side lengths are equal. <u><em>All its side lengths are equal</em></u>. None of its side lengths are equal. None of its interior angles are equal. What is true of an equilateral triangle ? Two of its side lengths are equal . All its side lengths are equal . None of its side lengths are equal . None of its interior angles are equal .

4 0

2 years ago

A bag of marbles comes with 3 blue marbles, 2 red marbles, and 5 yellow marbles. What is the ratio of red to yellow?

xz_007 [3.2K]

Answer:

2:5

Step-by-step explanation:

Total marbles: 10

red: 2

yellow: 5

2:5

4 0

3 years ago

Mark save $258 more than Neil. In fact Mark saved $7 for every $4 Neil saved. How much money did Mark say?

olasank [31]

Let

x---------> amount of money saved by Mark

x---------> amount of money saved by Neil

we know that

x=y+258-------> equation 1

x/y=(7/4)-------> equation 2

substitute equation 1 in equation 2

(y+258) /y=7/4--------> 4*(y+258)=7*y------> 4y+1032=7y

7y-4y=1032--------> 3y=1032------> y=$344

x=344+258------>x=$602

the answer is

$602

6 0

3 years ago