Answer:
<h2>√512 by √512 </h2>
Step-by-step explanation:
Length the length and breadth of the rectangle be x and y.
Area of the rectangle A = Length * breadth
Perimeter P = 2(Length + Breadth)
A = xy and P = 2(x+y)
If the area of the rectangle is 512m², then 512 = xy
x = 512/y
Substituting x = 512/y into the formula for calculating the perimeter;
P = 2(512/y + y)
P = 1024/y + 2y
To get the value of y, we will set dP/dy to zero and solve.
dP/dy = -1024y⁻² + 2
-1024y⁻² + 2 = 0
-1024y⁻² = -2
512y⁻² = 1
y⁻² = 1/512
1/y² = 1/512
y² = 512
y = √512 m
On testing for minimum, we must know that the perimeter is at the minimum when y = √512
From xy = 512
x(√512) = 512
x = 512/√512
On rationalizing, x = 512/√512 * √512 /√512
x = 512√512 /512
x = √512 m
Hence, the dimensions of a rectangle is √512 m by √512 m
Answer:
Daisy
Step-by-step explanation:
Daisy:
12/4=3
3*5=15 white beads
Mindy:
12/6=2
2*7=14 white beads
Answer:
= 0.1893939
Step-by-step explanation:
We have given that there are 5,280 feet in a mile.
Number of feet in a mile = 5,280
Now we will convert feet into miles.
To convert 1000 feet into mile we will multiply it by 1/5280
1000 feet = 1000 * 1/5280
1000/5280
= 0.1893939
Therefore the answer is = 0.1893939....
Answer:
3 cents for 29 days and 4 cents for 1 day
Step-by-step explanation:
1.00 dollar / 30 days = .03 cents
3 cents x 30 = .99 cents
3 cents for 29 days and 4 cents for 1 day
