Answer:
x=2,BA=DA which is7
Step-by-step explanation:
5x-3=3x+1
both sides share an angle and B=D right angles
5x-3x=1+3
2x=4
x=4÷2
x=2
BA=5x-3
BA=5(2)-3
BA=10-3
BA=7
DA=3x+1
DA=3(2)+1
DA=6+1
DA=7
The answer is x=9 because if you do 3x+-2 that gives you 1 and 1 divided by 9 is 9 and you get that by getting rid of your 6 first and adding it to the 3 from 3(x+1)
Answer:
= 12π
Step-by-step explanation:
The field F is given by:
(1)
The curve C is the ellipse:

In order to calculate the circulation of F around the curve C, you first find the parametric equation for the given ellipse.
The general form of an ellipse equation is:

The parametric equation is:
(2)
The Stokes's theorem is given by the following identity:
The path integral is also:
(3)
For F(r(t)) and dr(t) you obtain:

Next, in the equation (3) you obtain:
![\int_0^{2\pi} (-48sin^2t+64cos^2t)dt=\int_0^{2\pi}(-\frac{48}{2}(1-cos2t)+\frac{64}{2}(1+cos2t))dt\\\\=\int_0^{2\pi}(-24+24cos2t+32+32cos2t)dt\\\\=\int_0^{2\pi}(6+56cos2t)dt\\\\=[6t+56sin2t]_0^{2\pi}=[6(2\pi)-0]=12\pi](https://tex.z-dn.net/?f=%5Cint_0%5E%7B2%5Cpi%7D%20%28-48sin%5E2t%2B64cos%5E2t%29dt%3D%5Cint_0%5E%7B2%5Cpi%7D%28-%5Cfrac%7B48%7D%7B2%7D%281-cos2t%29%2B%5Cfrac%7B64%7D%7B2%7D%281%2Bcos2t%29%29dt%5C%5C%5C%5C%3D%5Cint_0%5E%7B2%5Cpi%7D%28-24%2B24cos2t%2B32%2B32cos2t%29dt%5C%5C%5C%5C%3D%5Cint_0%5E%7B2%5Cpi%7D%286%2B56cos2t%29dt%5C%5C%5C%5C%3D%5B6t%2B56sin2t%5D_0%5E%7B2%5Cpi%7D%3D%5B6%282%5Cpi%29-0%5D%3D12%5Cpi)
The circulation of the field around C is 12π
The total amount of snowfall on the two days combined is 4 3/8 cm
<h3>Addition of fractions </h3>
From the question, we are to determine the amount of snowfall on the two days combined
From the given information,
the amount of snowfall was 1/8 cm on Thursday
The amount of snowfall was 4 1/4 cm on Wednesday
Then,
The total amount of snowfall on the two days combined will be
cm
= 
= 
= 
= 
Hence, the total amount of snowfall on the two days combined is 4 3/8 cm
Learn more on Addition of fractions here: brainly.com/question/78672
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Shaded area will be the part of the area of the circle which have a central angel = 243
Shaded area = (243/360) π r^2
= (243/360) * 3.14 * 12.5^2
= 331.2