Answer:
Volume of Cone =

Thus, Volume = 16.75 cubic feet
Step-by-step explanation:
Volume of a cone is given by the formula

Where r is the radius and
h is the height
Given radius r = 2 and
height is 2 times that.
So height is 2*2 = 4
Plugging these into the formula we get:
Volume of Cone =

Thus, Volume = 16.75 cubic feet
<h2>
Answer with explanation:</h2>
It is given that:
f: R → R is a continuous function such that:
∀ x,y ∈ R
Now, let us assume f(1)=k
Also,
( Since,
f(0)=f(0+0)
i.e.
f(0)=f(0)+f(0)
By using property (1)
Also,
f(0)=2f(0)
i.e.
2f(0)-f(0)=0
i.e.
f(0)=0 )
Also,
i.e.
f(2)=f(1)+f(1) ( By using property (1) )
i.e.
f(2)=2f(1)
i.e.
f(2)=2k
f(m)=f(1+1+1+...+1)
i.e.
f(m)=f(1)+f(1)+f(1)+.......+f(1) (m times)
i.e.
f(m)=mf(1)
i.e.
f(m)=mk
Now,

Also,
i.e. 
Then,

(
Now, as we know that:
Q is dense in R.
so Э x∈ Q' such that Э a seq
belonging to Q such that:
)
Now, we know that: Q'=R
This means that:
Э α ∈ R
such that Э sequence
such that:

and


( since
belongs to Q )
Let f is continuous at x=α
This means that:

This means that:

This means that:
f(x)=kx for every x∈ R
Answer:
Step-by-step explanation:
11 no
46+4x=90 degree(being perpendicular)
4x=90-46
x=44/4
x=11
12 no
They are complementary angles
6 no
angle B+27=180 degree(being straight line)
angle B=180-27
angle B=153
10 no
angle 38 +angle DFE=180 degree(being supplementary)
angle DFE=180-38
angle DFE=142 degree
5 no
They are vertically opposite angles.
7 no
angle AGF and angle CGD (because they have common arm and vertex)
So if the bakery is 1/10 of the shopping center's area, and the shopping center's area is 4500 feet, then the bakery's area is 1/10th of 4500 feet. 1/10th of 4500 feet is 450.
A more in-depth explanation:
A fraction is:
x/y
where y would equal how many parts you wanted to split a number into and x would equal how many parts you want to take.
So splitting 4500 into 10 parts and then taking one is basically 1/10 of 4500.
4500 in 10 parts, one would be 450.
(area of square) - (area of triangle)
We know the are of a square is equal to s^2, where s is the side length.
While the are of a right angle tringle is 1/2*base*height
Then we have,
s = 10
base = 4
height = 4
(area of square) - (area of triangle)
=> (10^2) - (1/2)(4)(4)
=> 100 - 8
=> 92
Finally we get: 92 in^2