Assume:
Size of sides = x m
Depth of the pool = y m
Therefore, surface area = x^2+4xy =10 m^2
Then, y = (10-x^2)/(4x)
Now,
Volume (V) = x^2*y = x^2*y =x^2(10-x^2)/4x = (10x-x^3)/4 = 1/4(10x-x^3)
For maximum volume, first derivative of volume function is equal to zero.
That is,
dV/dx =0 = 1/4(10-3x^2)
Then,
1/4(10-3x^2) = 0
10-3x^2 = 0
3x^2=10
x= sqrt (10/3) = 1.826 m
And
y= (10-1.826^2)/(4*1.826) = 0.913 m
Therefore,
V= 1.826^2*0.913 = 3.044 m^3
Answer:
There will be 13 songs in the final album.
Step-by-step explanation:
i) number of songs expected = 16 songs
ii) the band wrrites 62.5% more
therefore the band writes 
songs
iii) During the editing process 50% of the songs are removed.
Therefore there will be in the final album = 
songs.
The Cricket. because it measures 1 inch, and all the others are less that one inch.
Answer: (-2,2)
Step-by-step explanation:
3x-4y=-14
2(3x+2y=-2)
3x-4y=-14
6x+4y=-4
9x=-18
x=-2
3(-2)-4y=-14
-6-4y=-14
-4y=-8
y=2
