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3 years ago

Find the area of the figure below

Mathematics

1 answer:

sergiy2304 [10]3 years ago

6 0

Answer:

Step-by-step explanation:

break shape into two parts

rectangle - 4*3=12

triangle 6*5/2 = 15

add rect and triangle tgt - 12+15=27

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In which number does the 6 have a value that is one tenth the value of the 6 in 34, 761

bogdanovich [222]

I believe the answer you're looking for is 6, as the value of the 6 in 34,761 is 60. Hope this helps!

4 0

3 years ago

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 3 4/15 divided by ( 8 times 6 3/10

Karolina [17]

The answer is 49/216

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3 years ago

Calculate. If possible, reduce your answers. 12+3·(11−15) =

katrin [286]

Answer:

Step-by-step explanation:

(11−15) = 4

12+3=15

15x4=60

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3 years ago

What is relationship between the unit fractions,1/2 and1/10? Describe both the number and size of the parts

Anna35 [415]

The two fractions are divisible by 2, can be broken down

6 0

4 years ago