Answer:
The height of the vase is 
Step-by-step explanation:
we know that
The volume of a cone is equal to

we have



substitute and solve for h





To do this, complete the square:
p(x) = 21 + 24x + 6x2 => <span>p(x) = 6x2 + 24x + 21
Rewrite the first 2 terms as
6(x^2 + 4x)
then you have </span><span>p(x) = 6(x2 + 4x ) + 21
Now complete the square of x^2 + 4x:
p(x) = 6(x^2 + 4x + 4 - 4) + 21
= 6(x+2)^2 - 24 + 21
p(x) = 6(x+2)^2 - 3 this is in vertex form now.
We can read off the coordinates of the vertex from this: (-2, -3)</span>
Answer:

Step-by-step explanation:
we know that
To find out the area of the sidewalk, multiply the length by the width of the sidewalk
The width of the sidewalk is equal to

or

The area is equal to

Answer:
See Annex In blue feasible region ( using Geogebra)
Step-by-step explanation:
Table 1.-
Assembling hours finishing hours
Product (tables) x 8 2
Product ( chairs) y 2 1
Availability 400 120
Constrains:
1.-Availability of assembling hours 400
8*x + 2* y ≤ 400
2.-Availability of Finishing hours
2*x + 1*y ≤ 120
3.-General constraints
x ≥ 0 y ≥ 0 integers
Answer:
It is do not we're spectacles