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3 years ago

5

What is the solution to the following equation?

2 answers:

ozzi3 years ago

8 0

The answer would be B. 1

IgorLugansk [536]3 years ago

6 0

Expand the left hand side give you 12x-44+23=5x-14. Next we isolate x: 7x=7. Dividing by 7 gives x=1.

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A lighthouse is 90 feet above sea level. The angle of depression from the top of the lighthouse to the center of the rock is 35

Marysya12 [62]

Notice the picture below

so.... the angle of depression, is above in dashed lines.... however, the angle of depression, is identical to the angle of elevation from the water, since, both angles are "alternate interior" angles

now, using the 45-45-90 rule, then we know the swimmer is 90 feet from the lighthouse, then just use the tangent ratio to get "x"

4 0

3 years ago

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

3 years ago

No clue what I'm doing help

Umnica [9.8K]

-32=y+4 is the answer

6 0

3 years ago

36√(3)-(432/7+4√(3))=?

Elden [556K]

40√3+432/7 is the answer

Hope this helps :D

5 0

3 years ago

Write 0.65% as a decimal

MAXImum [283]

The answer would be: 0.0065

4 0

3 years ago

Read 2 more answers