Answer:


Step-by-step explanation:
Let's begin with the mass definition in terms of density.

Now, we know the limits of the integrals of x and y, and also know that ρ = ky², so we will have:

Let's solve this integral:



So the mass will be:

Now we need to find the x-coordinate of the center of mass.





Now we need to find the y-coordinate of the center of mass.








Therefore the center of mass is:

I hope it helps you!
Answer:
The given statement is false.
Step-by-step explanation:
Reason
let D be a directed graph with 'n' no of vertices and 'E' edges.
where 'n'=1. thus D =(n,E).
In degree: in directed graph the number of incoming edges on a vertex is known as indegree.
it is denoted as deg ⁺(n).
And now we know that in a directed graph
if deg ⁻(n)= deg ⁺(n) for each vertex n.
Answer:
< CFE = 40°
Step-by-step explanation:
To better understand the solution, see attachment for the diagram.
Given:
BC parallel to DE
Measure of Arc BD = 58°
Measure of Arc DE = 142°
First step: Draw a diameter that passes through the centre of the circle and name it. In this case, the diameter is line ST.
The line ST divides the arc BD and arc DE into half.
That is:
Arc SC = 1/2(arc BC) =1/2(58)
Arc SC = 29°
Arc TE = 1/2(arc DE) =1/2(142)
Arc TE = 71°
Arc SC + Arc CE + Arc TE = 180° (Sum of angles in a semicircle
29° + Arc CE + 71° = 180°
Arc CE + 100° = 180°
Arc CE = 180-100
Arc CE = 80°
Inscribed angle = 1/2(intercepted angle)
<CFE = 1/2(Arc CE )
<CFE = 1/2(80)
< CFE = 40°