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scoray [572]
3 years ago
11

Help me to understand this

Mathematics
1 answer:
geniusboy [140]3 years ago
4 0
Triangle....
three angles<span> of any </span>triangle<span> have sum equals 180
</span>so
m<A + m<B +m<C = 180 then substitute values and solve for x

I can't see clearly on m<A...is it the value 35? if so
x+35+65 = 180
x+100 = 180
x = 180 -100
x = 80
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Explain the steps to measuring an angle using a protractor. How do you determine an angle’s measurement in degrees?
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<span>Place the midpoint of the protractor on the VERTEX of the angle.Line up one side of the angle with the zero line of the protractor (where you see the number 0).<span>Read the degrees where the other side crosses the number scale.

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3 years ago
Consider the following region R and the vector field F. a. Compute the​ two-dimensional curl of the vector field. b. Evaluate bo
Shalnov [3]

Looks like we're given

\vec F(x,y)=\langle-x,-y\rangle

which in three dimensions could be expressed as

\vec F(x,y)=\langle-x,-y,0\rangle

and this has curl

\mathrm{curl}\vec F=\langle0_y-(-y)_z,-(0_x-(-x)_z),(-y)_x-(-x)_y\rangle=\langle0,0,0\rangle

which confirms the two-dimensional curl is 0.

It also looks like the region R is the disk x^2+y^2\le5. Green's theorem says the integral of \vec F along the boundary of R is equal to the integral of the two-dimensional curl of \vec F over the interior of R:

\displaystyle\int_{\partial R}\vec F\cdot\mathrm d\vec r=\iint_R\mathrm{curl}\vec F\,\mathrm dA

which we know to be 0, since the curl itself is 0. To verify this, we can parameterize the boundary of R by

\vec r(t)=\langle\sqrt5\cos t,\sqrt5\sin t\rangle\implies\vec r'(t)=\langle-\sqrt5\sin t,\sqrt5\cos t\rangle

\implies\mathrm d\vec r=\vec r'(t)\,\mathrm dt=\sqrt5\langle-\sin t,\cos t\rangle\,\mathrm dt

with 0\le t\le2\pi. Then

\displaystyle\int_{\partial R}\vec F\cdot\mathrm d\vec r=\int_0^{2\pi}\langle-\sqrt5\cos t,-\sqrt5\sin t\rangle\cdot\langle-\sqrt5\sin t,\sqrt5\cos t\rangle\,\mathrm dt

=\displaystyle5\int_0^{2\pi}(\sin t\cos t-\sin t\cos t)\,\mathrm dt=0

7 0
3 years ago
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julia-pushkina [17]

Answer:

slope = \frac{5}{2}

Step-by-step explanation:

Calculate the slope m using the slope formula

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m = \frac{4+1}{2-0} = \frac{5}{2}

3 0
2 years ago
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