Answer:
Step-by-step explanation:
Represent the length of one side of the base be s and the height by h. Then the volume of the box is V = s^2*h; this is to be maximized.
The constraints are as follows: 2s + h = 114 in. Solving for h, we get 114 - 2s = h.
Substituting 114 - 2s for h in the volume formula, we obtain:
V = s^2*(114 - 2s), or V = 114s^2 - 2s^3, or V = 2*(s^2)(57 - s)
This is to be maximized. To accomplish this, find the first derivative of this formula for V, set the result equal to 0 and solve for s:
dV
----- = 2[(s^2)(-1) + (57 - s)(2s)] = 0 = 2s^2(-1) + 114s - 2s^2
ds
Simplifying this, we get dV/ds = -4s^2 + 114s = 0. Then either s = 28.5 or s = 0.
Then the area of the base is 28.5^2 in^2 and the height is 114 - 2(28.5) = 57 in
and the volume is V = s^2(h) = 46,298.25 in^3
Answer:
1 3/4 is greater than 1.5.
Step-by-step explanation:
1. To make a line that measures 1 3/4, make 2 regular lines.
2. Divide one of the lines into 4 equal sections and erase the one section and leaving you with 1 3/4.
To make the 1.5:
1. Make a line and make another line but that is half of the length of the previous line.
Answer:
The correct answer is no.
Step-by-step explanation:
If a number is a factor of another number, that means that it can be equally divided into it <em>evenly</em>.
I know that 3 x 20 = 60, and 73 - 60 = 13.
Since 3 is <em>not</em> a factor of 13, it is also <em>not</em> a factor of 73.
Hope this helps! :D
The answer to this question is D) 13.9 in.
Try using the Pythagorean theorem when solving to get the hypotenuse or other angles for a right triangle.
