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:
2 x 2 x 5,
Step-by-step explanation:
20 = 1 x 20
2 x 10
4 x 5
Factors of 20= 1, 2, 4, 5, 10, 20.
Prime factors are = 2 x 2 x 5,
Answer:
I can answer the first one the other 2 I can't make out.
Step-by-step explanation:
Firstly,
1) They are the same since they add one to the row every time
2) They are different because Megan's pattern is that they only count the first column in orange, and Kyle's pattern counts the number of blocks in each row.
3) They have the same number of blocks just in different colors in rows and columns.
Answer:
x=2
Step-by-step explanation:
Add 5 to each side.
3x-5+5=1+5
3x=6
Divide each side by 3.
Your answer would be x=2.
