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jonny [76]
3 years ago
8

The the seats in the van are in pairs there are 16 seats How many pairs of seats are there

Mathematics
2 answers:
Papessa [141]3 years ago
5 0

Answer:  There are 8 pairs of seats in the van.

Step-by-step explanation:

Given : The seats in the van are in pairs .

There are 16 seats  in the van.

Since a pair contains two identical objects.

Therefore, to find the number of pairs we need to divide the total number of seats by 2 .

The number of pairs of seats  =16\div2=8

Therefore, the number of pairs of seats  =2

miskamm [114]3 years ago
4 0
Eight, I am pretty sure. Eight times two is 16.
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area = <span> <span> <span> 36,643.59 </span> </span> </span> / 2
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3 years ago
Find the area of the surface. the part of the plane 4x + 4y + z = 16 that lies inside the cylinder x2 + y2 = 9
MAVERICK [17]
As a first step, convert to cylindrical coordinates. The equation x^2+y^2=9=3^2 is a clue to set

x=3r\cos\theta

y=3r\sin\theta

then have 0\le r\le1 and 0\le\theta\le2\pi. Meanwhile, the plane equation tells you to use

4x+4y+z=16\implies z=16-12r\cos\theta-12r\sin\theta

So we parameterize the part of the plane within the cylinder with the vector-valued function

\mathbf s(r,\theta)=(3r\cos\theta,3r\sin\theta,15-12r\cos\theta-12r\sin\theta)

The surface integral giving the area of the surface is


\displaystyle\iint_{\mathcal S}\mathrm dS

where \mathcal S denotes the surface in question, and the surface element \mathrm dS is

\mathrm dS=\left\|\dfrac{\partial\mathbf s}{\partial r}\times\dfrac{\partial\mathbf s}{\partial\theta}\right\|\,\mathrm dr\,\mathrm d\theta

We have

\dfrac{\partial\mathbf s}{\partial r}=(3\cos\theta,3\sin\theta,-12(\cos\theta+\sin\theta))

\dfrac{\partial\mathbf s}{\partial\theta}=(-3r\sin\theta,3r\cos\theta,12r(\sin\theta-\cos\theta))

\implies\mathrm dS=\|(36r,36r,9r\|\,\mathrm dr\,\mathrm d\theta=9\sqrt{33}r\,\mathrm dr\,\mathrm d\theta

So the area is

\displaystyle\iint_{\mathcal S}\mathrm dS=9\sqrt{33}\int_{\theta=0}^{\theta=2\pi}\int_{r=0}^{r=1}r\,\mathrm dr\,\mathrm d\theta=18\sqrt{33}\,\pi
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3 years ago
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