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rodikova [14]
4 years ago
6

A rectangular quilt is 5 feet wide and 7 feet long. How many feet of lace are needed to cover the edges of the quit?

Mathematics
1 answer:
topjm [15]4 years ago
4 0
P=2*(5ft +7 ft)
P=2*12 ft
P=24 ft - is the answer
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Find the area of the part of the paraboloid z = 9 - x^2 - y^2 that lies above the xy-plane.
svetoff [14.1K]

Parameterize this surface (call it S) by

\vec r(u,v)=u\cos v\,\vec\imath+u\sin v\,\vec\jmath+(9-u^2)\,\vec k

with 0\le u\le3 and 0\le v\le2\pi. Take the normal vector to S to be

\vec r_u\times\vec r_v=2u^2\cos v\,\vec\imath+2u^2\sin v\,\vec\jmath+u\,\vec k

Then the area of S is

\displaystyle\iint_S\mathrm dA=\iint_S\|\vec r_u\times\vec r_v\|\,\mathrm du\,\mathrm dv

=\displaystyle\int_0^{2\pi}\int_0^3u\sqrt{1+4u^2}\,\mathrm du\,\mathrm dv

=\displaystyle2\pi\int_0^3u\sqrt{1+4u^2}\,\mathrm du=\boxed{\frac{37\sqrt{37}-1}6\pi}

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4 years ago
Please help asap this is really important
Neporo4naja [7]

Answer:y=2x+2

Step-by-step explanation:

click on calculator.net. All you have to do is put in the coordinates and it will give you the slope and it will put it into slope intercept form.

8 0
3 years ago
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What fact can we use to justify step 1?
Alex_Xolod [135]
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Am nevoie de rezolvari pana la 1, dau coroana
Zanzabum

Answer:

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Step-by-step explanation:

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3 years ago
Please help me with geometry.
disa [49]

Answer:

<h2>y = 6x + 9</h2>

Step-by-step explanation:

The slope-intercept form of an equation of a line:

y=mx+b

m - slope

b - y-intercept → (0, b).

Parallel lines have the same slope.

Therefore if <em>k</em>: y = 6x + 7 → m = 6, and <em>l</em>: y = mx +b,

then <em>l</em> is parallel to <em>k</em> if m = 6.

We have the equation: y = 6x + b.

The line <em>l</em> passes through (0, 9). Therefore b = 9.

Finally we have:

<em>y = 6x + 9</em>

6 0
3 years ago
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