Answer:
Hence the width, length is 20 cm and height is 10 cm
Step-by-step explanation:
Since the box has a square base, let length = width = x. Also, let the height = y, therefore:
The volume of box = width * length * height
4000 = x * x * y
4000 = x²y
y=4000/x²
The surface area (SA) = area of the base + sum of the area of each side
SA = x² + xy + xy + xy + xy
SA = x² + 4xy
substitute y = 4000/x²
SA = x² + 4x(4000/x²)
SA = x² + 16000/x
Taking the derivative:
SA' = 2x - 16000/x²
making SA' = 0:
0 = 2x - 16000/x²
2x = 16000/x²
2x³ = 16000
x³ = 8000
x = 20 cm
y = 4000 / x² = 4000 / 20² = 10 cm
Hence the width, length is 20 cm and height is 10 cm
Given:
8 2/3 hours per month
12 months in a year.
Number of hours she play soccer in a year.
8 2/3 must be converted to improper fraction.
((8*3)+2)/3 = 26/3
26/3 * 12 = (26 * 12)/3 = 312/3 = 104
Yolanda spends 104 hours in a year playing soccer.
Answer:
u = (b/hn)
Step-by-step explanation:
The inverse!!
It does not matter which he does first. Either way, zero pairs will be created on both sides, which will isolate the variable to determine x<span>. Adding the </span>x<span>-tiles and then the unit tile, or visa versa, will give the same solution.</span>