Total cost, C = 8x^2 + 12xz
volume, V = (x^2)*z = 10
C = 8x^2 + 12x*10/x^2
= 8x^2 + 120/x
dC/dx = 16x - 120/x^2 = 0
16x = 120/x^2
x^3 = 120/16
x = 1.957 ft
d^2C/dx^2 = 16 +240/x^3 = +ve for x = 1.957
so, C is minimum when
x = 1.957 ft z = 2.61 ft
Length of the base x is 1.957 ft and height of side z is 2.61 ft
Answer:
12 pies
Step-by-step explanation:
To solve this problem, the best method will be to use a proportion! To set this proportion up, you must understand the values that the problem is giving you. The problem states that 7 cups of flour makes 3 pies. This wording tells us that those two values will both be on one side of the proportion. It does not matter which value is on top or bottom, as long as they are together on one side! For this problem, I'll set up the left side of the proportion like this:
Next, you'll include your third value and your x on the right side of the proportion. Make sure that your third value aligns with its matching value on the other side. For example, since our third value here is the 28 cups of flour, it must be on the bottom on the right side since your 7 cups of flour is on the bottom of the left side. This is what the proportion should now look like:
To solve, just cross multiply and divide! 3 times 28 is 84. Then, divide the 84 by the 7 and you'll get a final answer of 12 pies!
Answer:
AAA (Angle-Angle-Angle) Theorem
Step-by-step explanation:
We see that , is congruent to itself, and is congruent to itself. Thus, with 3 angle congruency statements, we could use the AAA Theorem to prove that the triangles are congruent to each other.
Answer:
Plz mark brainlest!
Step-by-step explanation:
Residual describes what remains after most of something is gone. It's an almost formal word for what's leftover. If you've gotten over your breakup but you still have the urge to kick your ex, then you have some residual bitterness.Residual. The vertical distance between a data point and the graph of a regression equation. The residual is positive if the data point is above the graph. Hope this helps! Ask me anything if you have any quistions!