Answer:
Where's the cone at and I might be able to help
Step-by-step explanation:
Answer:
D. Section A; students in this section scored between 1 and 10
Step-by-step explanation:
This answer is correct because the graph shows everything that was explained in the answer. Hope that helps!!
When two chords of a circle intercept, the products of the segments are equal, that is, PT*QT=RT*ST
6*4=RT*10
RT=2.4
Answer:
4....
Step-by-step explanation:
Okay! Free points, uh... 2... and 2... put together... is... four...
Refer to the figure shown below.
The shaded area is common to the given curves.
The curves y=x and y = 1/x intersect at (1,1).
The area of the shaded region is
![A = \int_{1}^{2} \, (x- \frac{1}{x})dx =[ \frac{x^{2}}{2}-ln(x)]_{1}^{2} = \frac{3}{2}-ln(2) =0. 8069](https://tex.z-dn.net/?f=A%20%3D%20%5Cint_%7B1%7D%5E%7B2%7D%20%5C%2C%20%28x-%20%5Cfrac%7B1%7D%7Bx%7D%29dx%20%3D%5B%20%5Cfrac%7Bx%5E%7B2%7D%7D%7B2%7D-ln%28x%29%5D_%7B1%7D%5E%7B2%7D%20%3D%20%20%5Cfrac%7B3%7D%7B2%7D-ln%282%29%20%3D0.%208069)
If the centroid of the shaded area is (x₁, y₁), then
![0.8069x_{1} = \int_{1}^{2} x(x- \frac{1}{x})dx =[ \frac{x^{3}}{3}-x]_{1}^{2} = \frac{7}{3}-1= 1.3333\\x_{1} =1.6524](https://tex.z-dn.net/?f=0.8069x_%7B1%7D%20%3D%20%5Cint_%7B1%7D%5E%7B2%7D%20x%28x-%20%5Cfrac%7B1%7D%7Bx%7D%29dx%20%3D%5B%20%5Cfrac%7Bx%5E%7B3%7D%7D%7B3%7D-x%5D_%7B1%7D%5E%7B2%7D%20%3D%20%20%5Cfrac%7B7%7D%7B3%7D-1%3D%201.3333%5C%5Cx_%7B1%7D%20%3D1.6524)
Also,
The curve y = 1/x intersects x=2 at y = 1/2.
Therefore
![0.8069y_{1} = \int_{1/2}^{1} y(2- \frac{1}{y} )dy + \int_{1}^{2} y(2-y)dy \\ = [y^{2}-y]_{1/2}^{1} + [y^{2}- \frac{y^{3}}{3}]_{1}^{2} =0.9167 \\ y_{1} =1.1361](https://tex.z-dn.net/?f=0.8069y_%7B1%7D%20%3D%20%5Cint_%7B1%2F2%7D%5E%7B1%7D%20y%282-%20%5Cfrac%7B1%7D%7By%7D%20%29dy%20%2B%20%5Cint_%7B1%7D%5E%7B2%7D%20y%282-y%29dy%20%5C%5C%20%3D%20%5By%5E%7B2%7D-y%5D_%7B1%2F2%7D%5E%7B1%7D%20%2B%20%5By%5E%7B2%7D-%20%5Cfrac%7By%5E%7B3%7D%7D%7B3%7D%5D_%7B1%7D%5E%7B2%7D%20%20%3D0.9167%20%5C%5C%20y_%7B1%7D%20%3D1.1361)
Answer:
The centroid is located at (1.6524, 1.1361)