The answer is 7 1/4
Or 29/4 as an improper fraction
To find the volume, you cube the edges.
So make it easier, you can cube the numerator and then the denominator.
2*2=4*2=8
3*3=9*3=27
8/27
You cannot simplify it any more.
The volume of the container is 8/27 feet cubes.
Answer: 1
Step-by-step explanation: Looking at the bold line that is vertical, Find where the line intersects with the other. That point is actually highlighted and called (0,1,) Hope I explained that well!
Let 
be the line given by the vector equation
.
First, we use the director vectors of the lines L1 and L2 to get the
vector equation of the plane containing them, which we denote by 
. This is,
We observe that 
. Therefore, the vector equation of defines a plane and 
is a normal vector to 
Finally, the vector equation for the wanted plane, which we denote by 
, is
Thus, if 
, then 
and since is parallel to , then it is perpendicular to .
<h3>Given</h3>
- C(t) = 40 cm + t·(2/5 cm/s) . . . circumference of a circle vs time
<h3>Find</h3>
- dr/dt for radius r
- r at t=4 seconds
<h3>Solution</h3>
The circumference and radius of a circle are related by
... C = 2πr
so the radius in terms of circumference is
... r = C/(2π)
... r(t) = (40 +0.4t)/(2π) = (1/π)(20 cm + 0.2t cm/s)
Then dr/dt is
... dr/dt = 0.2/π cm/s
And the radius at t=4 s is
... r(4) = (1/π)(20 + 0.2·4) cm
... r(4) = 20.8/π cm
