Ask question

Ask question

All categories

3 years ago

8

A table with a round top is cut in half so that it can be used against a wall.after it is cut,the edge along the wall is 6 feet

. What is the area of the table after it is cut in half

1 answer:

MrRissso [65]3 years ago

4 0

Answer:

The area of the table after it is cut is 12 or 36 because

Step-by-step explanation:

6 times 2= 12 and 6 times 6= 36 so year

You might be interested in

G verify that the divergence theorem is true for the vector field f on the region

Alenkasestr [34]

$\mathbf f(x,y,z)=\langle z,y,x\rangle\implies\nabla\cdot\mathbf f=\dfrac{\partial z}{\partial x}+\dfrac{\partial y}{\partial y}+\dfrac{\partial x}{\partial z}=0+1+0=1$

Converting to spherical coordinates, we have

$\displaystyle\iiint_E\nabla\cdot\mathbf f(x,y,z)\,\mathrm dV=\int_{\varphi=0}^{\varphi=\pi}\int_{\theta=0}^{\theta=2\pi}\int_{\rho=0}^{\rho=6}\rho^2\sin\varphi\,\mathrm d\rho\,\mathrm d\theta\,\mathrm d\varphi=288\pi$

On the other hand, we can parameterize the boundary of $E$ by

$\mathbf s(u,v)=\langle6\cos u\sin v,6\sin u\sin v,6\cos v\rangle$

with $0\le u\le2\pi$ and $0\le v\le\pi$ . Now, consider the surface element

$\mathrm d\mathbf S=\mathbf n\,\mathrm dS=\dfrac{\mathbf s_v\times\mathbf s_u}{\|\mathbf s_v\times\mathbf s_u\|}\|\mathbf s_v\times\mathbf s_u\|\,\mathrm du\,\mathrm dv$
$\mathrm d\mathbf S=\mathbf s_v\times\mathbf s_u\,\mathrm du\,\mathrm dv$
$\mathrm d\mathbf S=36\langle\cos u\sin^2v,\sin u\sin^2v,\sin v\cos v\rangle\,\mathrm du\,\mathrm dv$

So we have the surface integral - which the divergence theorem says the above triple integral is equal to -

$\displaystyle\iint_{\partial E}\mathbf f\cdot\mathrm d\mathbf S=36\int_{v=0}^{v=\pi}\int_{u=0}^{u=2\pi}\mathbf f(x(u,v),y(u,v),z(u,v))\cdot(\mathbf s_v\times\mathbf s_u)\,\mathrm du\,\mathrm dv$
$=\displaystyle36\int_{v=0}^{v=\pi}\int_{u=0}^{u=2\pi}(12\cos u\cos v\sin^2v+6\sin^2u\sin^3v)\,\mathrm du\,\mathrm dv=288\pi$

as required.

3 0

3 years ago

Frank makes x dollars per week. His dad makes 4 times as much money as him each week. Each week their income adds up to 1.000 do

meriva

Answer:

Frank earns $200.

His dad earns $800.

Step-by-step explanation:

Giving the following information:

His dad makes 4 times as much money as him each week. Each week their income adds up to 1.000 dollars.

<u>We know that:</u>

x= Franks income

4x= Dads income

y= total income

y= x + 4x

1,000= 5x

1,000/5=x

200=x

Frank earns $200.

His dad earns $800.

6 0

3 years ago

Ok this is kind of silly to ask but I have an equation 12-3x how do I get 3x in the front

lesantik [10]

As you can see there is a negative sign befor 3x. That means 3x is a negative value. Therefore, in order to place it as first left value you would take -3x and put it before +12 ( since there is no negative sign before 12, it will stay positive)

-3x+12

Hope This Helps :)

7 0

3 years ago

A factory robot recently examined some bulbs, of which 2 were flawed and 14 were not. What is the experimental probability that

Alborosie

Answer:

1/8 or 12.5%

Step-by-step explanation:

2 were flawed and 14 were not, so there's a total of 16 bulbs.

The probability that a bulb will be flawed is 2/16 = 1/8, or 12.5%.

5 0

3 years ago

Hey! I need help giving brainliest to correct answer plz try.

DanielleElmas [232]

Answer:

5/10

Step-by-step explanation:

hope this helped

8 0

3 years ago

Read 2 more answers