Answer:
F(t)
Step-by-step explanation:
We have given 
Now 
Here 
Now first find the Laplace inverse of G(S)
Using partial fraction
On comparing the coefficient
and 
On putting the value of A and B
Taking inverse Laplace
Now in G(s) there is onether term 
So F(t)
There are 87 girls and 58 boys!
i divided 5 from 145 and got 29.
i multiplied 29 and 3 and got 87.
87 is the girls total.
then subtracted 87 from 145 and got 58.
58 is the boys total.
hope this helps!
Answer:
It is not direct variation
Step-by-step explanation:
y/7 = 2/x
y = 7×2/x
y = 14/x
And
y = k/x
k = 14 which is the constant of proportionality
: y ∞ 1/x
This is inverse variation
<h3>
Answer: C) incenter</h3>
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Explanation:
If you were to intersect the angle bisectors (at least two of them), then you would locate the incenter. The incenter is the center of the incircle which is a circle where it is as large as possible, but does not spill over and outside the triangle. Therefore this circle fits snugly inside the triangle.
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extra notes:
* The centroid is found by intersecting at least two median lines
* The circumcenter is found by intersecting at least two perpendicular bisector lines
* The orthocenter is found by intersecting at least two altitude lines
* The incenter is always inside the triangle; hence the "in" as part of the name. The centroid shares this property as well because the medians are completely contained within any triangle. The other two centers aren't always guaranteed to be inside the triangle.
* The red lines cut each angle of the triangle into two equal or congruent pieces.
It is letter B.
Equation of a circle is in the form:
(x-h)^2 + (y-k)^2 = r^2
where (h,k) is the center of the circle with radius r.
