Answer:
E
Step-by-step explanation:
2:12 is equivalent to 8:48
The question is missing the detail, it is to find the dimensions of the largest field that can be fenced in.
The formula for area is : A = xy
The perimeter of the fencing is equal to the sum of two widths and the length: 2x + y = 3000
Now, solve the second equation: y = 3000 – 2x
When you plug this expression to the formula for the area, we will get:
A = x (3000-2x) = 3000x – 2x^2
Next take the derivative and equal it to 0: dA/dx = 3000 – 4x = 0
Now solve for x, it will give us 750.
Find the second derivative.
d^2 A / dx^2 = -4
since we have a negative result, x = 75- is a maximum. Then plug this in to x:
3000 – 2 (750) = 1500. The largest field will measure 750 ft by 1500 ft.
So the maximum height is another word for vertex's y-coordinate. The easiest method to find the vertex is to find the axis of symmetry for the x-coordinate and then plug the axis of symmetry into the equation to solve for y.
Firstly, the equation for the axis of symmetry is , with b = x coefficient and a = x^2 coefficient. Using our equation, we can solve for the axis of symmetry as such:
Now that we have the x-coordinate, plug it into x and solve for y:
In short, the maximum height is 90.75.
Answer:
40 books
Step-by-step explanation:
Divide 20 kg by 500 g, or, alternatively, divide 20 kg by 0.5 kg.
Either way, the result is 20/0.5, or 40.
40 books of the same mass would have the same mass as the bookcase.
Hope this helps :)
8,653,972 rounded to the ten-thousands is 8,650,000.
Hope this helps!