Answer:
x = 3.53 ft
y - 3.53 ft
z = 3.53 ft
Step-by-step explanation:
given details
volume = 44 ft^3
let cardboard dimension is x and y and height be z
we know that area of given cardboard without lid is given as
A = xy + 2xy + 2yz
xyz = 44 ft^3
To minimize area we have
A = xy + 2x (44/xy) + 2y(44/xy)
A = xy + (44/y) + (44/x)
we have
................1
..............2
from 1 and 2
xy(y-x) = 0
xy = 0 or y = x
from geometry of probelem
x ≠ 0 and y ≠ 0
so y = x
x^3 = 44
x = 3.53 ft = y
z = 44/xy = 3.53
Considering the given figure, the conjecture with the rephrased statement of proof to show the diagonals of a parallelogram bisect each other is: In parallelogram EFGH show EK is congruent to KG and F.K is congruent to KH
<h3>How to determine the correct rephrase of the proof about parallelogram diagonals</h3>
The diagonals refer to the lines running between the two opposite ends of the parallelogram
Bisecting means sharing into two equal parts
congruent means a copy that is equal in dimension hence can be used in place of the other image
The diagonals of a parallelogram bisect each other means that the diagonals cut each other to form two equal parts such that each part is congruent to each other.
Learn more on diagonals of a parallelogram
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Mixed numbers are fractions with a whole number.
For example, 1 2/4, 2/8, and 7 7/8 are mixed numbers.
Hope it helps
4 products are being purchased.
Step-by-step explanation:
Given,
Time taken to select each product = 5 seconds
Time taken to complete check out process = 60 seconds
Total time taken for a transaction = 80 seconds
Let,
x be the number of products purchased.
Time taken for each product*Number of product + Time for check out process = total process
Dividing both sides by 5
4 products are being purchased.
Keywords: variable, division
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