Volume
of a rectangular box = length x width x height<span>
From the problem statement,
length = 60 - 2x
width = 10 - 2x
height = x</span>
<span>
where x is the height of the box or the side of the equal squares from each
corner and turning up the sides
V = (60-2x) (10-2x) (x)
V = (60 - 2x) (10x - 2x^2)
V = 600x - 120x^2 -20x^2 + 4x^3
V = 4x^3 - 100x^2 + 600x
To maximize the volume, we differentiate the expression of the volume and
equate it to zero.
V = </span>4x^3 - 100x^2 + 600x<span>
dV/dx = 12x^2 - 200x + 600
12x^2 - 200x + 600 = 0</span>
<span>x^2 - 50/3x + 50 = 0
Solving for x,
x1 = 12.74 ; Volume = -315.56 (cannot be negative)
x2 = 3.92 ;
Volume = 1056.31So, the answer would be that the maximum volume would be 1056.31 cm^3.</span><span>
</span>
Answer:
14
Step-by-step explanation:
Perimeter= 4× 3.5 in
=14 in
Answer: 624 is the answer i just took the test
Step-by-step explanation:
<u>Answer: </u>
sec squared 55 – tan squared 55 = 1
<u>Explanation:</u>
Given, sec square 55 – tan squared 55
We know that,
And,
where Ө is the angle
Substituting the values
Solving,
According to Pythagoras theorem,
Putting this in the equation;
squared 55 - tan squared 55 =
Therefore, sec squared 55 – tan squared 55 = 1
Answer:
She earns $6.50 from the Smiths which is 25 cents more than she earns at the Nelsons.
Step-by-step explanation:
To solve this problem you must find the hourly rate she earns at the Smiths. This will allow you to compare to the hourly rate that is given for the Nelsons. To find the Smiths hourly rate divide $39 by the 6 hours she babysat there. This will have the hourly rate. 39/6=6.5. This means she earns $6.50 an hour for the Smiths. When comparing the rates it is clear that she earned 25 cents more at the Smiths.
