We know that
the distance from the centroid of the triangle to one of the vertices is the radius of the circle <span>required to inscribe an equilateral triangle.
[distance </span>centroid of the triangle to one of the vertices]=(2/3)*h
h=the <span>altitude of the equilateral triangle-----> 5.196 in
so
</span>[distance centroid of the triangle to one of the vertices]=(2/3)*5.196
[distance centroid of the triangle to one of the vertices]=3.464 in----> 3.5 in
the radius is equal to the distance of the centroid of the triangle to one of the vertices
hence
the radius is 3.5 in
the answer is
the radius is 3.5 in
Answer:
18.03 cubic feet
Step-by-step explanation:
Hello,
Step 1
find the volume of the sphere when radius= 5 ft

Step 2
find the volume of the sphere when radius= 5.1 ft

Step 3
Compare the Volumes to find the change

the volumen of the sphere with radius = 5.1 is 1.06 times bigger than the first one(r=5)
Now, find the change

change=18.03 cubic feet
Have a great day.
Answer:
it is 8.39. hope this helps.
Answer:
The value of
is
.
Step-by-step explanation:
The given equation is

We need to find the value of
.
Differentiate with respect to t.
![[\because \frac{d}{dx}x^n=nx^{n-1},\frac{d}{dx}C=0]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%5Cfrac%7Bd%7D%7Bdx%7Dx%5En%3Dnx%5E%7Bn-1%7D%2C%5Cfrac%7Bd%7D%7Bdx%7DC%3D0%5D)

It is given that y=2 and dy/dt=1, substitute these values in the above equation.



Divide both sides by 4x³.


Therefore the value of
is
.