Answer:
74.7
Step-by-step explanation:
Just use muliplication
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:
The cost of one cup of hot chocolate is $4.50
Step-by-step explanation:
Let
x ----> the cost of one cup of hot chocolate
y ----> the cost of one cup of hot tea
we know that
3x+4y=25.50 ------> equation A
y=(2/3)x -----> equation B
Solve the system of equations by substitution
substitute equation B in equation A and solve for x
3x+4(2/3)x=25.50
3x+(8/3)x=25.50
(17/3)x=25.50
x=25.50*3/17
x=$4.50
therefore
The cost of one cup of hot chocolate is $4.50
Answer:
Step-by-step explanation:
x
2
−
2
x
-48
