Answer:
y ≥ 4x
y ≤ 8.75 –1/2πx^2
Step-by-step explanation:
Because the diameters of the gravel bases added together cannot exceed the width of the pen, we get the inequality 2x + 2x ≤ y . Rewriting, we get y ≥ 4x as the first inequality in the system.
Next, write an inequality for cost.
To write the expression for the cost of the fencing, find the perimeter of the rectangle, and multiply the perimeter by the cost per foot of fencing. The pen is a rectangle, so the perimeter is 2(10) + 2(y), or 20 + 2y. Multiply the cost of the fencing material ($4.00 per foot) by the perimeter of the fence to get 4(20 + 2y).
Now, write an expression for the gravel bases for the circular food containers. Because A = r2 and the cost of the gravel is $2.00 per square foot, multiply the cost of the material by the sum of these areas to get 2(x2) + 2(x2).
The total cost must be less than or equal to $150. So, we can say that 4(20 + 2y) + 2(x2) + 2(x2) ≤ 150. After simplifying and solving for y: y ≤ 8.75 – x2.
So, this is the system:
y ≥ 4x
y ≤ 8.75 –1/2πx^2
I don’t know what your asking
Answer:
256m2.
Step-by-step explanation:
Answer:
162 metres
Step-by-step explanation:
Since h is proportional to the square of v, we know that their ratio must be constant, so 
where v1 and v2 are velocities and h1 and h2 are their respective heights.
Since we are given that v = 10 and h = 8, we can set v1 = 10 and h1 = 8 and since we are trying to find the height for v = 45, we can set v2 = 45. Inputting these values into the equation and solving, we get
10^2/8 = 45^2/h2
h2 = 45^2/(10^2/8) = 162 metres
I hope this helps!
