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Inessa05 [86]
3 years ago
14

Convert the fraction to higher terms. Enter the value of the missing numerator. 3/11= /77?

Mathematics
2 answers:
lianna [129]3 years ago
8 0

the answer is 21/77 because you multiplied 11 by 7 to get 77, you multiply 7 by which gives you 21/77
Whitepunk [10]3 years ago
4 0
3/11 = 21/77 because it says 3/11 = ?/77 and 11 x 7 = 77 and to complete the sentence, we need to multiply 3/11 with 7 which will make it 21/77
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Instructions: Drag the tiles to the correct boxes to complete the pairs.
snow_tiger [21]
7/5y= y+2/5y
0.68y = y-0.32y
3/5y=y-2/5y
1.32y=y+0.32y
8 0
3 years ago
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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
Simplify the variable expression by evaluating its numerical part, and enter
Ksju [112]

Answer:7w

Step-by-step explanation:

the process is simple 13 minus 6 equals 7 which only leaves w therefore the answers 7w

8 0
3 years ago
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Which Is worth more 4.1 billion or 3.914 billion
Xelga [282]

Answer:

the one worth more is 4.1 billion

4 0
2 years ago
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A stainless steel patio heater is a square pyramid. The length of one side of the base is 23.4 in. The
ser-zykov [4K]

The height of the square-based pyramid is 91.72 in if the length of one side of the base is 23.4 in.

<h3>What is a square pyramid?</h3>

In geometry, it is defined as the shape having a square base with equal sides length and all the vertex of the square's joints at the top, which is perpendicular to the center of the square.

We have a square pyramid.

Length of the pyramid = 23.4 in

The slant height of the pyramid = 93.2 in

From the figure:

Base length CB  = DC = 23.4 in

In a right-angled triangle, BCD

Applying Pythagoras theorem:

DC² + CB² = DB²

23.4² + 23.4² = DB²

DB = 33.092 in

OB = (1/2)DB

OB = (1/2)33.092 = 16.546 in

In the right-angle triangle AOB, again applying Pythagoras theorem:

AO² + OB² = AB²

h² + 16.546² = 93.2²

AO = h (height of the square pyramid)

AB = slant height = 93.2 in

After calculating, we get:

h = 91.719 ≈ 91.72 in

Thus, the height of the square-based pyramid is 91.72 in if the length of one side of the base is 23.4 in.

Learn more about the pyramid here:

brainly.com/question/13057463

#SPJ1

4 0
2 years ago
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