Answer:
2/18 or 1/9
Step-by-step explanation:
just directly multiply it 2×1=2
6×3=18 so 2/18 simplify 1/9
All the angles of a triangle add up to 180 degrees.
30+39+<4= 180
69+<4= 180
Subtract 69 on both sides.
<4= 111 degrees
<1 and <4 are supplementary and adjacent. They equal 180 degrees as well.
111+<1= 180
<1= 69 degrees
I hope this helps!
<em>~kaikers</em>
Answer: Work done by the particle is 78 N.
Step-by-step explanation:
If C is the path the particle follows, then work done is
.
According to the question the force
and all four points are in the plane
.
therefore, if S is the at surface with boundary C, so that S is the portion of the plane
over the rectangle D=[0,2]\times [0,4].
Now,

By the Stoke's theorem:
![\int_{C}^{}F.dx=\iint_{s}^{}curlF.dS\\\\=\iint_{D}^{}[-8y(0)-2z\left ( \frac{1}{4} \right )+5y]dA\\\\=\iint_{D}^{}\left ( -\frac{1}{2}z+5y \right )dA](https://tex.z-dn.net/?f=%5Cint_%7BC%7D%5E%7B%7DF.dx%3D%5Ciint_%7Bs%7D%5E%7B%7DcurlF.dS%5C%5C%5C%5C%3D%5Ciint_%7BD%7D%5E%7B%7D%5B-8y%280%29-2z%5Cleft%20%28%20%5Cfrac%7B1%7D%7B4%7D%20%5Cright%20%29%2B5y%5DdA%5C%5C%5C%5C%3D%5Ciint_%7BD%7D%5E%7B%7D%5Cleft%20%28%20-%5Cfrac%7B1%7D%7B2%7Dz%2B5y%20%5Cright%20%29dA)

![\int_{0}^{2}\left [ \frac{39}{16}y^2 \right ]_{0}^{4}dx\\\\=\int_{0}^{2}39\, \, dx\\\\=39\times 2\\\\=78 \, N](https://tex.z-dn.net/?f=%5Cint_%7B0%7D%5E%7B2%7D%5Cleft%20%5B%20%5Cfrac%7B39%7D%7B16%7Dy%5E2%20%5Cright%20%5D_%7B0%7D%5E%7B4%7Ddx%5C%5C%5C%5C%3D%5Cint_%7B0%7D%5E%7B2%7D39%5C%2C%20%5C%2C%20%20dx%5C%5C%5C%5C%3D39%5Ctimes%202%5C%5C%5C%5C%3D78%20%5C%2C%20N)
3x^7 will be your answer
hope this helps!
we know that
<u>The correlation coefficient </u>is a number between
and
that represent the linear dependence of two variables or sets of data
Let

Using the function CORREL in a Excel tool
Find the correlation coefficient for the set of data
see the attached table
the correlation coefficient is 
therefore
<u>the answer is the option B</u>
