Answer:
24.11
Step-by-step explanation:
2001 ÷ 83
83×2= 166
200-166=34 bring down the 1
341 ÷ 83
83×4= 332
341-332=9 add a decimal and bring down a 0
90÷83
90-83=7 bring down another 0
70÷83=0 brind down another 0 since 70 cannot be divided by 83 and have a whole number
700÷83
83×8=664
700-664=36
right now you have 24.108
round to the nearest tenth
24.11
That's an expression, so the only thing you can do is simplify it, but that already looks simplified.
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
64-25=39
All the square numbers are 1,4,9,16,25,36,49,64,81,100
