Answer:
See explanation
Step-by-step explanation:
Let x in be the base side length and y in be the height of the box. Since the base is a square, we have

The volume of the box is

The surface area of the box is

The graph of the function SA(S) is shown in attached diagram.
Find the derivative of this function:

Equate this derivative to 0:

So, the dimensions that produce a minimum surface area for this aluminum box are:

Answer:
slope = - 
Step-by-step explanation:
Calculate the slope m using the slope formula
m = 
with (x₁, y₁ ) = (6, 9) and (x₂, y₂ ) = (11, 2)
m =
=
= - 
It is 45 and 67 I remember this from boating school 5 times a second in 11
The equation that could be used to solve for x is (3x-1) = 140 and the value of x is 47°.
According to the question,
We have the following information:
We have two lines that are intersecting each other at a point. The angles made on this point are given.
Now, we know that these two angles are vertically opposite angles. And we also know that vertically opposite angles are equal.
So, we will have the following equation:
3x-1 = 140
Now, we can easily find the value of x from this equation:
Adding 1 on both sides of the equation:
3x = 140+1
3x = 141
Dividing by 3 on both sides:
x = 141/3
x = 47°
Hence, the equation that could be used to solve for x is (3x-1) = 140 and the value of x is 47°.
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