Answer:
92 sq. inches
Step-by-step explanation:
Total paper required = total surface area
Surface area of a cuboid = 2[(l×b) + (l×h) + (b×h)],
Where 'l' is the length, 'b' is the breadth and 'h' is the height
For the box, total surface area = 2[(8×3) + (3×2) + (8×2)]
=2[24 + 6 + 16]
=2[46]
= 92 sq. inches
Answer:9:20
Step-by-step explanation:
I believe its B
i hope this helps :)
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.
These statements are true:
<span>1. The first number in an ordered pair is the x-coordinate.
2. The second number in an ordered pair is the y-coordinate.
3. The graph of a linear equation is usually a line.
</span><span>5. Ordered pairs are graphed as points in the coordinate plane.
</span>
