Answer:
9 Hours
Step-by-step explanation:
720/80=9
Answer:
A(max) = (9/2)*L² ft²
Dimensions:
x = 3*L feet
y = (3/2)*L ft
Step-by-step explanation:
Let call "x" and " y " sides of the rectangle. The side x is parallel to the wall of the house then
Area of the rectangle is
A(r) = x*y
And total length of fence available is 6*L f , and we will use the wall as one x side then, perimeter of the rectangle which is 2x + 2y becomes x + 2*y
Then
6*L = x + 2* y ⇒ y = ( 6*L - x ) /2
And the area as function of x is
A(x) = x* ( 6*L - x )/2
A(x) = ( 6*L*x - x² ) /2
Taking derivatives on both sides of the equation we get:
A´(x) = 1/2 ( 6*L - 2*x )
A´(x) = 0 ⇒ 1/2( 6*L - 2*x ) = 0
6*L - 2*x = 0
-2*x = - 6*L
x = 3*L feet
And
y = ( 6*L - x ) /2 ⇒ y = ( 6*L - 3*L )/ 2
y = ( 3/2)*L feet
And area maximum is:
A(max) = 3*L * 3/2*L
A(max) = (9/2)*L² f²
So, this is kind of a hard concept to explain without any pictures, but I'll try anyways.
Think of a plane as like a sheet of paper, and a line as a metal rod.
If I want to intersect the plane, it means that my line (rod) has to touch the plane (paper).
If I poke the rod through the paper, it only intersects it in one place, and I cannot fold or warp the paper to change that.
The only other way I can make these two touch is if I lay the rod on top of the paper. However, when I do this the paper is touching every single point along the rod...
I hope this kinda helps explain why you can never intersect in exactly two points.
Answer:
VA = 2/3πrB²hB
Step-by-step explanation:
Let the volume of cosA ad cone B be expressed as;
Va = 1/3πra²ha
Vb = 1/3πrb²hb
If the radius of the base of cone A is twice as large as the radius of the base of cone B
rA = 2rB
If the height of cone B is twice the height of cone A, then;
hB = 2hA
hA = hB/2
Recall that;
VA = 1/3πrA²hA
VA = 1/3π(2rB)²(hB/2)
VA = 1/3π*4rB²(hB/2)
VA = 2/3πrB²hB
This gives the volume of cone A
Answer:
Step-by-step explanation:
Well it's an arythmetic sequence, so it will look like:
Note that the first element is:
and the second element is:
So the difference between the two gives us d!
Now let's find the :