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3 years ago

Find the volume of the following prism..helpppp pleasee!!!

Mathematics

2 answers:

Rus_ich [418]3 years ago

6 0

Answer:

Step-by-step explanation :The volume V of a prism is V = Bh, where B is the area of the base, h is the height of the prism.To find the volume of a rectangular prism, multiply its 3 dimensions: length x width x height. The volume is expressed in cubic units.

7nadin3 [17]3 years ago

5 0

Answer:

volume of the prism

(20×12×10)-(8×8×20)

2400-1280

1120 cm³

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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

3 years ago

What is the equation of the line, in standard form, that passes through (4, -3) and is parallel to the line whose equation is 4x

Serggg [28]

Answer:

The equation of this line would be 4x + y = 13

Step-by-step explanation:

In order to find this equation we must first find the slope of the original line. To do this, we solve the original equation for y.

4x + y - 2 = 0

4x + y = 2

y = -4x + 2

The original slope (the coefficient of x) is -4, which means the new slope will also be -4 because parallel lines have the same slope. Now, we can use this slope along with the point in point-slope form to find the equation of the line. Just plug in the numbers and solve for the coefficient.

y - y1 = m(x - x1)

y + 3 = -4(x - 4)

y + 3 = -4x + 16

4x + y + 3 = 16

4x + y = 13

4 0

4 years ago

ILL GIVE BRAINLIST ON WHOEVER GETS RIGHT!!!!

tiny-mole [99]

Answer:

The first and third answer I believe.

Step-by-step explanation:

The side with 3 can go over 1.5, since they are both at the same side. It will be equivalent to 4 over 2 because they are also the same side. (1st option)

Multiplying each side by 1/2, does result you to the final image.

3 multiplied by 1/2 is 1.5

4 multiplied by 2 is 2

7 0

3 years ago

By selling a bag at RS 1500 and RS 2100, there is some profit respectively. if the loss is twice the profit, find its cost price

Doss [256]

may be this helpfulness!