Answer:
It is 4/11
Step-by-step explanation:
Let x = 0.363636363636
Now as there are two digits repeating immediately after decimal point, we multiply above by 100 and get
100x = 36.363636363636
Now subtracting first equation from second we get
99x = 36
and hence
x = 36/ 99
= (9 × 4) / (9 × 11)
which then equals
= 4/11
Answer:
It is rational
Step-by-step explanation:
The pi terms cancel out when you divide. This is due to the rule x/x = 1 where x is any number you want except x cannot be zero. So replace x with pi and we have pi/pi = 1
Therefore,
(3pi)/(2pi) = (3/2)*(pi/pi)
(3pi)/(2pi) = (3/2)*1 .... use the rule mentioned above
(3pi)/(2pi) = 3/2
we get a fraction or a ratio of two whole numbers, so this proves that the given expression is rational.
Answer:
4 × 6
Step-by-step explanation:
2^2= 4 or 2 × 2= 4
2^3= 6 or 2 × 2 × 2= 6
So, 4 × 6
Answer:
This (x - 5) represents the length of the rectangle.
Step-by-step explanation:
The formula for the area of a rectangle of length L and width W is A = L * W.
Here, the width is x - 4 and the area is x^2 + x - 20. Dividing the width (x - 4) into the area results in an expression for the length:
x - 4 / x^2 + x - 20
Let's use synthetic division here. It's a little faster than long division.
If the divisor in long division is x - 4, we know immediately that the divisor in synthetic division is 4:
4 / 1 1 -20
4 20
--------------------
1 5 0
This synthetic division results in a remainder of 0. This tells us that 4 (or the corresponding (x - 4) is indeed a root of the polynomial x^2 + x - 20, and so *(x - 4) is a factor. From the coefficients 1 and 5 we can construct the other factor: (x - 5). This (x - 5) represents the length of the rectangle.
60 minutes=1 hour, so to convert minutes to hours,<em> divide by 60.</em>
