Answer:
First, a rational number is defined as the quotient between two integer numbers, such that:
N = a/b
where a and b are integers.
Now, the axiom that we need to use is:
"The integers are closed under the multiplication".
this says that if we have two integers, x and y, their product is also an integer:
if x, y ∈ Z ⇒ x*y ∈ Z
So, if now we have two rational numbers:
a/b and c/d
where a, b, c, and d ∈ Z
then the product of those two can be written as:
(a/b)*(c/d) = (a*c)/(b*d)
And by the previous axiom, we know that a*c is an integer and b*d is also an integer, then:
(a*c)/(b*d)
is the quotient between two integers, then this is a rational number.
Answer:
523.3 cubic inches
Step-by-step explanation:
A basketball has a diameter of 10 in. Using = 3.14, what is the approximate volume of the basketball in cubic inches?
The shape of a basketball is spherical.
Hence:
The volume of a basketball = 4/3 × π × r³
From the question,
π = 3.14
r = radius = Diameter/2
r = 10 in/2 = 5 in
Hence:
The volume of the basketball
= 4/3 × 3.14 × 5³
= 1570 ÷ 3
= 523.33333333 cubic inches
Therefore, the approximate volume of the basketball = 523.3 cubic inches
Let's solve :
a.) The equation will be :
b.) the table will be like this :
point (1 , -3)
point (3, -1)
point (-1 , 3)
point (-3 , 1)
c.) graph the equation as shown in attachment !
The square root of 81 is 9
Your answer is <em>9
</em>Work:
9 x 9 = 81
Answer:
This can be found by using the permutations and combinations formuals.
Combinations being the C equation and Permutations being the P equation.
Explanation:
A permutation is used for the list of data (where the order of the data matters) and the combination is used for a group of data (where the order of data doesn't matter).
