Remark
It is easier in this case to state the irrational ones and then talk about the rationals.
sqrt(2) * sqrt(3) is irrational. The square root of 6 fills your calculator's window with many numbers and there is no pattern to them. Sqrt(6) cannot be expressed as a fraction or a repeating decimal which is also a fraction.
The last one is also irrational for the same reason. 3*pi cannot be expressed as either a repeating decimal or a fraction.
All the others are rational. The one you might have trouble with is the first one.
0.12 repeating is actually found by letting x = 0.12121212121212121212...Then
100 x = 12.121212121212121212 ...
<u> x = 0.121212121212121212..</u>. Subtract
99 x = 12
x = 12/99
So the mixed fraction you get is 3 12/99 which is 309/99
When you multiply that by 1.4 it does not change the fact that you still get a fraction. It turns out to be 721 / 165. The method is similar to the one used to get 12 / 99. I don't think you need to know the exact answer. You need only need to know that the first one is rational.
Choice 2 is rational because 9 and 25 are perfect squares. sqrt(9) = 3
Sqrt(25) = 5.
3*5 = 15.
Answer
One Two are four are all rational.
Answer:
502.7 meters squared
Step-by-step explanation:
The equation would be 2πrh+2πr^2. If you just plug in the radius and height you will get 502.65. Round it up and you will get 502.7.
Answer:
1/8 ft^3
Step-by-step explanation:
The cube has equal sides. So u square root the base area and u get 1/2 ft. The length, width and height are all 1/2. So u cube the 1/2. Your final answer would be 1/8 ft^3.
Hi okay i’m gonna write the explanation i hope you give me a brilliant if you think I’m deserving it thank you
(x-5)2=16
The first step you can take to solve this quadratic is to take the square root of both sides of the equation.
√[(x-5)2]=√(16)
When you take the square root of a term that is square it equals what is inside the parentheses.
So on the left side, you have x-5
On the right side, you are what we call "forcing" the square root. When this happens, you need to put ±. Why? Good question. When you square a negative number it positive; when you square a positive number it is also positive.
The √16 = ±4
So now we have;
x-5=±4
What do you do with that?
You make two separate equations.
x-5=4 and x-5=-4
x=9 x=1
Let's check our answers
x=9
(x-5)2=16
(9-5)2=16
42=16
16=16 it checks
x=1
(x-5)2=16
(1-5)2=16
(-4)2=16
16=16 it also checks
ANSWER: x=9 and x=1
