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Paul [167]
2 years ago
7

Please help this is due TODAY

Mathematics
1 answer:
hammer [34]2 years ago
6 0

Answer:

x=75°and y=x= 75°

Step-by-step explanation:

Reason: opposite angles are equal and how I got 75 is by drawing an extension line and finding the other angle (i.e. angle on a straight line=180) so 180-105=75.

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Are the following polygons similar? If so what is the scale factor?
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Suppose that surface σ is parameterized by r(u,v)=⟨ucos(3v),usin(3v),v⟩, 0≤u≤7 and 0≤v≤2π3 and f(x,y,z)=x2+y2+z2. Set up the sur
Bad White [126]

Looks like you have most of the details already, but you're missing one crucial piece.

\sigma is parameterized by

\vec r(u,v)=\langle u\cos3v,u\sin3v,v\rangle

for 0\le u\le7 and 0\le v\le\frac{2\pi}3, and a normal vector to this surface is

\dfrac{\partial\vec r}{\partial u}\times\dfrac{\partial\vec r}{\partial v}=\left\langle\sin3v,-\cos3v,3u\right\rangle

with norm

\left\|\dfrac{\partial\vec r}{\partial u}\times\dfrac{\partial\vec r}{\partial v}\right\|=\sqrt{\sin^23v+(-\cos3v)^2+(3u)^2}=\sqrt{9u^2+1}

So the integral of f(x,y,z)=x^2+y^2+z^2 is

\displaystyle\iint_\sigma f(x,y,z)\,\mathrm dA=\boxed{\int_0^{2\pi/3}\int_0^7(u^2+v^2)\sqrt{9u^2+1}\,\mathrm du\,\mathrm dv}

6 0
2 years ago
Gina Chuez has considered starting her own custom greeting card business. With an initial start up cost of $1500, she figures it
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1500 + 0.45x < 1.70x
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1500 < 1.25x
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3 years ago
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Solve this system of linear equations. Separate
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Adding both

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Putting in second one

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5 0
1 year ago
Read 2 more answers
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