To calculate percentage change, we will do:
( 44.2-16/16) x 100
(1.7625) x 100
So the percent increase here will be 176.25%
Great question. Let's let r be a rational number and s be irrational. Note r has to be nonzero for this to work. In other words, it's not true that when we multiply zero, a rational number, by an irrational number like π we get an irrational number. We of course get zero.
The question is: why is the product
irrational?
In math "why" questions are usually answered with an illuminating proof. Here the indirect proof is enlightening.
Suppose p was rational. Then
would be rational as well, being the ratio of two rational numbers, so ultimately the ratio of two integers.
But we're given that s is irrational so we have our contradiction and must conclude our assumption that p is rational is false, that is, we conclude p is irrational.
A proof by contradiction.
Let assume that the product of a rational number and an irrational number is rational.
Let and be rational numbers, where and an irrational number.
Then
Integers are closed under multiplication, therefore and are integers, making the number rational, which is contradictory with the earlier statement that is an irrational number.
To be able to graph this you need to start on -2 on the y-axis then move up 5 then 1 to the right
The dot should be on (1,3)
In the given problem, the square root of 1.69 is 1.3.
The square root of a non-negative real number is a value that, when multiplied by itself, results in the original number. In mathematical notation, the square root of the number "x" is represented by the symbol "√x."
The square root is an inverse operation of squaring, which means that if one squares a number and then take its square root, he or she gets back to the original value. The concept of the square root is nearly related to obtaining the side length of a square with a given area or obtaining the magnitude of a vector in mathematics.
1.69 also can be written as in fraction form.
Thus, 1.3 is the square root of 1.69.
Learn more about square roots here:
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b. 0.1
c. 0.7
d. 1.2
(PLEASE EXPLAIN HOW YOU RECEIVED YOUR ANSWER)