Answer:
30cm x 72 cm
Step-by-step explanation:
The perimeter is the measurements of all sides added together. Let's start by dividing the perimeter by 2, so we have the sum of the length and width. This gives us 102cm. Let's call the width <em>x</em>, and the length <em>y</em>. We know <em>y</em> is <em>x</em> times 2 plus 12. (2x + 12) So, we know [x + y = x + (2x + 12)]. So let's solve.
x + y = x + (2x + 12)
102 = x + (2x + 12)
102 = 3x + 12
102 - 12 = 3x + 12 - 12
90 = 3x
90/3 = 3x/3
30 = x
The width is 30cm.
Answer:
The linear cost function is 
dollar.
Step-by-step explanation:
Given : A parking garage charges 4 dollars plus 65 cents per half-hour. A linear cost function for the situation is C(x)=L.
To find : Write a linear cost function for the situation ?
Solution :
Cost function is defined as sum of marginal cost and fixed cost.
Let x be the number of hours i.e. time for which parking cost.
A parking garage charges 4 dollars plus 65 cents per half-hour.
The fixed price is $4.
Marginal cost is 65 cents per half-hour.
Converting cents into dollar,
1 cent = 0.01 dollar
65 cent = 0.65 dollar
The cost of 
hour = $0.65
The cost of x hours = 
So, marginal cost is $1.3x.
Cost function is defined as
dollar.
Therefore, The linear cost function is dollar where x is the number of hours.
Answer:
4 sqrt(3) cm
Step-by-step explanation:
The area of a square is
A = s^2 where s is the side length
48 = s^2
Take the square root of each side
sqrt(48) = sqrt(s)
sqrt(16*3) = s
4 sqrt(3) =s
Answer:
Step-by-step explanation:
V = 12*x²*y
a) DV/Dt = 12*x²*Dy/Dt
b) DV/Dt = 24*x*y*Dx/Dt
c) DV/Dt = 24*x*y*Dx/Dt * 12x²Dy/Dt
