Answer:
The ideal size will be a 45cmx45cm square, giving you a perimeter of 180cm.
Step-by-step explanation:
The shortcut answer here is that the square will always be the most efficient rectangle for border to area, so the sides should be the square root of 2025 cm, or 45 cm each, giving you a total of 180 minimum perimeter.
The full solution is to express the perimeter as a function of the length and width, define either length or width as a function of the other, take the entire expression's derivative and solve for zero. Let's do it:
So first the area:
2025 = wl
l = 2025 / w
Now the sides:
Then we can take its derivative with respect to w
Now we can set the derivative to zero, and solve for w:
So the width being 45, we can get the length by dividing the area by that amount, which of course is also 45.
From the quadratic equation, it is found that the 2000 snowboards must be produced for the company to break even.
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The profit of producing x thousand snowboards is given by:
The break even point is the value of <u>x for which P(x) = 0</u>, thus:
That has two solutions:
x is in thousands, and we want the non-zero solution, thus 2000 snowboards must be produced for the company to break even.
A similar problem is given at brainly.com/question/24716530
Answer:
(9 -5x) + (-9 +5x)
Step-by-step explanation:
-Three times two is six plus three is nine
-Negative three times two is negative six minus three which is negative nine
Answer:
x = 24.0
y = 46.4
Step-by-step explanation:
Let opposite side = z
Using trigonometry :
Sin 30 = z / 34
z = 0.5 * 34
z = 17
We find x :
Sin 45 = 17 / x
x * sin45 = 17
x = 17 / sin 45
x = 24.04
Let y = y1 + y2
y1 = 17 / tan45
y1 = 17
y2 = 17/tan30
y2 = 29.44
y = 17 + 29.44
y = 46.44
