Find the slope of the line that passes through the given points. (0,10) and (24,6)

The radius of a circle is 4 in . Find it’s circumference in terms of

luda_lava [24]

Answer:

8pi

Step-by-step explanation:

The formula for circumference is the radius multiplied by $2\pi$ . In this case, $4\cdot 2\pi=8\pi$ . Hope this helps!

6 0

2 years ago

(50 POINTS AND BRAINLIEST FOR BEST)

morpeh [17]

Answer:

RI - 79%

Ohio - 75.5%

Colorado 2.86%

plz brainly me :) !

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers

The ratio of catfish to trout in the local pond is 2 to 5. If there are 300 catfish in the pond, how many trout are there?

kumpel [21]

You would do 300/5 since there are 300 catfish

Then multiply the resulting number (60) by 2

The answer is 120

3 0

3 years ago

Use the Divergence Theorem to evaluate S F · dS, where F(x, y, z) = z2xi + y3 3 + sin z j + (x2z + y2)k and S is the top half of

GenaCL600 [577]

Close off the hemisphere $S$ by attaching to it the disk $D$ of radius 3 centered at the origin in the plane $z=0$ . By the divergence theorem, we have

$\displaystyle\iint_{S\cup D}\vec F(x,y,z)\cdot\mathrm d\vec S=\iiint_R\mathrm{div}\vec F(x,y,z)\,\mathrm dV$

where $R$ is the interior of the joined surfaces $S\cup D$ .

Compute the divergence of $\vec F$ :

$\mathrm{div}\vec F(x,y,z)=\dfrac{\partial(xz^2)}{\partial x}+\dfrac{\partial\left(\frac{y^3}3+\sin z\right)}{\partial y}+\dfrac{\partial(x^2z+y^2)}{\partial k}=z^2+y^2+x^2$

Compute the integral of the divergence over $R$ . Easily done by converting to cylindrical or spherical coordinates. I'll do the latter:

$\begin{cases}x(\rho,\theta,\varphi)=\rho\cos\theta\sin\varphi\\y(\rho,\theta,\varphi)=\rho\sin\theta\sin\varphi\\z(\rho,\theta,\varphi)=\rho\cos\varphi\end{cases}\implies\begin{cases}x^2+y^2+z^2=\rho^2\\\mathrm dV=\rho^2\sin\varphi\,\mathrm d\rho\,\mathrm d\theta\,\mathrm d\varphi\end{cases}$

So the volume integral is

$\displaystyle\iiint_Rx^2+y^2+z^2\,\mathrm dV=\int_0^{\pi/2}\int_0^{2\pi}\int_0^3\rho^4\sin\varphi\,\mathrm d\rho\,\mathrm d\theta\,\mathrm d\varphi=\frac{486\pi}5$