Answer:
dimensions to minimize cost is 6 inches x 6 inches x 6 inches
Step-by-step explanation:
Since the box has a square bottom, then it means length and width are the same value. Let the length and width be x. Let the depth by y.
Thus;
Volume is; V = x²y
We are given volume as 216 in³
Thus, V = 216
x²y = 216
y = 216/x²
Surface area of box will be;
S = 2x² + 4xy
Since box is to be made of sheet of paper that coast 1 cent per square inch.
It's means per Sq.m is $0.01
Thus;
C(x) = 2 × 0.01(x²) + 4 × 0.01(xy)
C = 0.02x² + 0.04xy
Put 216/x² for y;
C = 0.02x² + 0.04x(216/x²)
C = 0.02x² + 8.64/x
dC/dx = 0.04x - 8.64/x²
At dC/dx = 0, cost is minimum
Thus;
0.04x - 8.64/x² = 0
0.04x = 8.64/x²
x³ = 8.64/0.04
x³ = 216
x = 6
From y = 216/x²
y = 216/6²
y = 6
Thus,dimensions to minimize cost is 6 inches x 6 inches x 6 inches
By rounding each number to the nearest whole number is 23.5
Given,
Estimate 38¼ - 14¾
and, by rounding each number to the nearest whole number.
Now, The solution is :
=38¼ - 14¾ = 153/4 - 59/4
=> 
=> 94/4
=> 23.5
Estimation a number to the nearest whole number:
To round a number to the nearest whole number, you have to look at the first digit after the decimal point. If the digit is less than 5 (1, 2 , 3, 4) we don't have to do anything, but if the digit is 5 or greater (5,6,7,8,9) we must round up.
Hence, By rounding each number to the nearest whole number is 23.5
Learn more about Whole Numbers at:
brainly.com/question/14783707
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Answer:
Option D
Step-by-step explanation:
<u>Square:</u>
Side = 25 ft
Area of square = side * side
= 25*25
= 625 square ft
<u>Area of semicircle:</u>
diameter = 25 ft
r = 25/2 = 12.5 ft


Area of the shaded region = area of square - area of semicircle
= 625 - 245.3
= 379.7 square ft
Option 3 is not possible
-60.2 + 32 = -60.2 + 60
And these are not equal
Rest all options have x and are solvable
Must click thanks and mark brainliest
Answer
22-j=
Step-by-step explanation: