Answer:
Since a/2⁽ⁿ ⁺ ¹⁾b < a/2ⁿb, we cannot find a smallest positive rational number because there would always be a number smaller than that number if it were divided by half.
Step-by-step explanation:
Let a/b be the rational number in its simplest form. If we divide a/b by 2, we get another rational number a/2b. a/2b < a/b. If we divide a/2b we have a/2b ÷ 2 = a/4b = a/2²b. So, for a given rational number a/b divided by 2, n times, we have our new number c = a/2ⁿb where n ≥ 1
Since 
= a/(2^∞)b = a/b × 1/∞ = a/b × 0 = 0, the sequence converges.
Now for each successive division by 2, a/2⁽ⁿ ⁺ ¹⁾b < a/2ⁿb and
a/2⁽ⁿ ⁺ ¹⁾b/a/2ⁿb = 1/2, so the next number is always half the previous number.
So, we cannot find a smallest positive rational number because there would always be a number smaller than that number if it were divided by half.
Step-by-step explanation:
Find the diagram to the question attached.
From the diagram, we are given the following dimension for one of the beds;
Length = 16cm
Width = 8cm
If the scale from his drawing to the actual garden is 2 cm for every 1 ft, then on converting to feet;
2cm = 1ft
16cm = x fr
cross multiply
2x = 16
x = 8ft
Hence 16cm = 8ft (based on the scale)
Similarly:
2cm = 1ft
8cm = x fr
cross multiply
2x = 8
x = 4ft
Area of the garden bed (in feet) = Length * Width
Area of the garden bed = 8ft * 4ft
Area of the garden bed = 32ft²
Hence the actual area of one of the garden beds is 32ft². We need to find 2 things fir us to get the required answer. First is the length of the bed in feet and the second is the width of the bed in feet.
A square is a figure with four equal sides and four right angles.In a square the diagonals bisect at right angles .
In the above given options option A is the right answer.
If the diagonals of any parallelogram are perpendicular then the figure is not necessarily a square.
Diagonals are perpendicular in a rhombus too.
A square and Rhombus both have diagonals that are perpendicular.
So it is not a necessary condition for a parallelogram to be a square .
The other options are right .
So option B is the right option that if diagonals are perpendicular is not sufficient to prove the figure to be a square.
Answer:
51 vreels
Step-by-step explanation:
Step 1: Given data
Ratio of gespils to vreels on the planet Joop: 6:14
Step 2: Calculate the number of gespils per 120 vreels
Elentine has 120 vreels on her rew farm. If there are 6 gespils every 14 vreels, the number of gespils is:
120 vreels × (6 gespils/14 vreels) ≈ 51 vreels
Step-by-step explanation:
6^4=1296.
so the answer is 1296..................
