5mn is the simplified answer
To solve this problem you must apply the proccedure shown below:
1. By definition, the opposite sides of a parallelogram are parallel and have equal length.
2. The figure attached shows that the opposite sides with equal length are:
3. Keeping this on mind, you have that the side <em>c</em> and <em>a</em> are equal and measure six centimeters.
4. To find the length of the other sides, you must apply the following formula for calculate the perimeter of a parallelogram:
4. If you solve for <em>b</em>, you will obtain the measure of <em>b </em>and<em> d:</em>
Therefore the answer is:
The lengths of the sides are: 6 cm, 6 cm, 9 cm and 9 cm.
The minimum surface area that such a box can have is 380 square
<h3>How to determine the minimum surface area such a box can have?</h3>
Represent the base length with x and the bwith h.
So, the volume is
V = x^2h
This gives
x^2h = 500
Make h the subject
h = 500/x^2
The surface area is
S = 2(x^2 + 2xh)
Expand
S = 2x^2 + 4xh
Substitute h = 500/x^2
S = 2x^2 + 4x * 500/x^2
Evaluate
S = 2x^2 + 2000/x
Differentiate
S' = 4x - 2000/x^2
Set the equation to 0
4x - 2000/x^2 = 0
Multiply through by x^2
4x^3 - 2000 = 0
This gives
4x^3= 2000
Divide by 4
x^3 = 500
Take the cube root
x = 7.94
Substitute x = 7.94 in S = 2x^2 + 2000/x
S = 2 * 7.94^2 + 2000/7.94
Evaluate
S = 380
Hence, the minimum surface area that such a box can have is 380 square
Read more about surface area at
brainly.com/question/76387
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Answer:
13.9%
Step-by-step explanation:
Given data
Expected weight = 230 pounds
Actual weight= 262 pounds
Required
The percent error
Error= Actaul- expected/ expected *100
Error= 262-230/230*100
Error=32/230*100
Error=0.139*100
Error=13.9%
Hence the error is 13.9%
