Answer:

Step-by-step explanation:
The question to be solved is the following :
Suppose that a and b are any n-vectors. Show that we can always find a scalar γ so that (a − γb) ⊥ b, and that γ is unique if
. Recall that given two vectors a,b a⊥ b if and only if
where
is the dot product defined in
. Suposse that
. We want to find γ such that
. Given that the dot product can be distributed and that it is linear, the following equation is obtained

Recall that
are both real numbers, so by solving the value of γ, we get that

By construction, this γ is unique if
, since if there was a
such that
, then

(50, 700)
The vertex of a parabola is the point at the intersection of the parabola and its line of symmetry.
It is important to note that the perimeter is equal to 2(width) + 2(length). let's call width w and length L.
so 294 = 2w + 2L
but the length is two times the width, so L=2w.
294 = 2w + 2(2w)
294 = 2w + 4w
294 = 6w
divide both sides by 6 to solve for w.
49 = w. so our width is 49 feet.
L = 2w, so L = 2(49). L = 98.
our length is 98 feet.
What you would do is 30x5 which is 1500 and 14x12 which is 168
Then you would just divide 1500/168 and get (at most) 8
Hello!
The equation to find the volume of a cone is

r is radius
h is height
Put in the values we know

Square the number

multiply 81 by 3.14

Multiply
339.12
The answer is 339.1 cubic inches
Hope this helps!