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pochemuha
4 years ago
13

Alternate interior angles can always add to 180

Mathematics
1 answer:
nalin [4]4 years ago
7 0
Two angles<span> are said to be supplementary when the sum of the two </span>angles<span> is </span>180<span>°. ... All </span>angles<span> that are either exterior </span>angles<span>, </span>interior angles<span>, </span>alternate angles<span> or corresponding </span>angles<span> are all congruent.</span>
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Help please thank you
anyanavicka [17]

Answer:(3,3) eery year

Step-by-step explanation:

4 0
3 years ago
Please help solve this question been stuck for a while​
damaskus [11]

Answer:

7.7

Step-by-step explanation:

To find the intersection points of the line and the circle we have to set up a system with their equations and solve. The system would look like this:

\left \{ {{x=1              } \atop {x^2+y^2=16}} \right.

To solve, substitute 1 for x in the second equation to get:

1^2+y^2=16

Solving, we get:

y=\sqrt{15}, y=-\sqrt{15}

Therefore, the two points of intersection are (1,\sqrt{15} ) and (1,-\sqrt{15}). The distance between these two points (the length of the chord in the circle) is 2\sqrt{15} which is 7.745966692414... which is 7.7 rounded to the nearest tenth.

Hope this helps :)

6 0
3 years ago
Work out the balance for £4500 invested for 2 years at 4% per annum
Anika [276]

the amount you are looking for is £4860

hope this helps. good luck with the rest.

3 0
3 years ago
Find the flux of the vector field F = 〈e-z,4z,6xy) across the curved sides of the surface S = {(x,y,z): z= cos y, lys π, 0sxs4}
Len [333]

I'll go ahead and assume you meant to say that <em>S</em> is the surface given by

S = \left\{(x,y,z) \mid z = \cos(y)\text{ with } 0\le y\le \pi\text{ and }0\le x\le4\right\}

This immediately gives us a parameterization for the surface,

\vec r(x, y) = \left\langle x, y, \cos(y)\right \rangle

The upward-pointing normal vector to this surface is then

\vec n = \dfrac{\partial\vec r}{\partial x} \times \dfrac{\partial\vec r}{\partial y} = \left\langle0,\sin(y),1\right\rangle

Then the flux of \vec F(x,y,z) = \left\langle e^{-z}, 4z, 6xy\right\rangle across <em>S</em> is

\displaystyle \iint_S \vec F(x,y,z)\cdot\mathrm d\vec s = \int_0^4\int_0^\pi \vec F(x,y,\cos(y))\cdot\vec n\,\mathrm dy\,\mathrm dx \\\\ = \int_0^4\int_0^\pi \left\langle e^{-\cos(y)},4\cos(y),6xy\right\rangle \cdot \left\langle0,\sin(y),1\right\rangle \,\mathrm dy\,\mathrm dx \\\\ = \int_0^4\int_0^\pi (4\sin(y)\cos(y)+6xy)\,\mathrm dy\,\mathrm dx \\\\ = 2 \int_0^4\int_0^\pi (\sin(2y) + 3xy)\,\mathrm dy\,\mathrm dx = \boxed{24\pi^2}

8 0
3 years ago
The bake sale earned $83.48 during the 6 hours it was open.What is the<br> unit rate? *
dem82 [27]

Answer:

$13.91

Step-by-step explanation:

$83.48 : 6 hours

$X : 1 hour

X/1 = 83.48/6

X = 13.91333333

7 0
4 years ago
Read 2 more answers
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