Answer:
x >2.2034
Step-by-step explanation: hope this helps :)
Let x represent the side length of the square end, and let d represent the dimension that is the sum of length and girth. Then the volume V is given by
V = x²(d -4x)
Volume will be maximized when the derivative of V is zero.
dV/dx = 0 = -12x² +2dx
0 = -2x(6x -d)
This has solutions
x = 0, x = d/6
a) The largest possible volume is
(d/6)²(d -4d/6) = 2(d/6)³
= 2(108 in/6)³ = 11,664 in³
b) The dimensions of the package with largest volume are
d/6 = 18 inches square by
d -4d/6 = d/3 = 36 inches long
Answer:
37.5
Step-by-step explanation:
180-75 = 105
180 is the sum of all the angle in a triangle
180-105 = 75
75/2 = x becuz the triangle is icoceles
=37/5
Hope this helps :) Giving me brainiest would help a lot :))
Option B. From the parallelogram PQRS the value of y is given to be 30
<h3>How to solve for the value of y from the parallelogram</h3>
In order to get the value of y we have to use the formula
2y + 120 = 80
where the value 120 is the angle that is stated as 120 from the question
2y = 180 - 120
2y = 60
y = 60 / 2
y = 30
Hence the value of y = 30
We can go ahead to get the value of x as well
3x + 120 = 180
take the like terms
3x = 180 - 120
3x = 60
divide through by 3 to get x
60 / 3 = x
20 = x
Read more on parallelograms here: brainly.com/question/24056495
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