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:
y= -2x+4
Step-by-step explanation:
To find the slope find 2 points and use "rise/run", that will get -2
To find the y-intercept look at where the line crosses the y-axis. that will be 4
so -2x+4
Firstly, we have to find out what 10% of $25000 is. To do this, multiply $25000 by 0.1 (10% in decimal form):
. <em>$2500 is the 10% raise.</em>
Next, to find your first new salary, add $25000 and $2500 together:
. <u>$27500 is your new salary after the 10% raise.</u>
Next, we need to find 10% of $27500. It's a similar process as to finding 10% of $25000.
. <em>$2750 is your 10% cut.</em>
Next, since this is a cut, subtract $2750 from $27500.
. <u>$24750 is your new salary after the 10% cut.</u>
Next, to find the percentage change, firstly divide $24750 by $25000.
. Now this shows that your current salary is 99% of what you used to make. It is <em>not</em> how much less you make. To find how much less it is, subtract 99% from 100%:
. <u>Your current salary is 1% less than what you used to make.</u>
Hi there!
So if BC and DA are the same, then BA and CD are also the same...
The only one that’s left is BD.
Therefore, the shortest side is BD.