Answer:
The height of the container is 4 feet.
Step-by-step explanation:
A container has the format of a rectangular prism.
It has three dimensions: width(w), length(l), height(h).
The volume is:
In this question:
We have to find the height(length and width are in feet, volume in cubic feet, so the height will be in feet).
The height of the container is 4 feet.
Answer:
Constructive Proof
Step-by-step explanation:
Let x be a positive integer
x must be equal to sum of all positive integers exceeding it
i.e.
x = x + (x - 1) + ( x - 2) + ......... + 2 + 1
Equivalently,
x = ∑i (where i = 1 to x)
The property finite sum;
∑i (i = 1 to x) = x(x + 1)/2
So,
x = x(x + 1)/2 ------- Multiply both sides by 2
2 * x = 2 * x(x + 1)/2
2x = x(x + 1)
2x = x² + x ------- subtract 2x from both sides
2x - 2x = x² + x - 2x
0 = x² + x - 2x ----- Rearrange
x² + x - 2x = 0
x² - x = 0 ------ Factorise
x(x - 1) = 0
So,
x = 0 or x - 1 = 0
x = 0 or x = 1 + 0
x = 0 or x = 1
But x ≠ 0
So, x = 1
The statement is only true for x = 1
This makes sense because 1 is the only positive integer not exceeding 1
1 = 1
It is a Constructive Proof
A proof is constructive when we find an element for which the statement is true.
X=8
i learned this math class
Answer:
the answer is B.
Step-by-step explanation:
100*20 + 1/2*(60-20)*(100 - 12)
=2000 + 1/2*40*88
=3760
