Answer:
A ∩ B = {1, 3, 5}
A - B = {2, 4}
Step-by-step explanation:
The given problem regards sets and set notation, a set can simply be defined as a collection of values. One is given the following information:
A = {1, 2, 3, 4, 5}
B = {1, 3, 5, 6, 9}
One is asked to find the following:
A ∩ B,
A - B
1. Solving problem 1
A ∩ B,
The symbol (∩) in set notation refers to the intersection between the two sets. It essentially asks one to find all of the terms that two sets have in common. The given sets (A) and (B) have the values ({1, 3, 5}) in common thus, the following statement can be made,
A ∩ B = {1, 3, 5}
2. Solving problem 2
A - B
Subtracting two sets is essentially taking one set, and removing the values that are shared in common with the other set. Sets (A) and (B) have the following values in common ({1, 3, 5}). Thus, when doing (A - B), one will omit the values ({1, 3, 5}) from set (A).
A - B = {2, 4}
I believe that would be 19!
Answer:
square root of 7
Step-by-step explanation:
Each right angle triangle has 3 sides known as the opposite, adjacent and hypotenuse sides. The relationship between these 3 sides is as defined by pythagoras theorem which states that
a² + b² = c²
where a and b are the lengths of the opposite and adjacent sides (in no particular order) and c is the length of the hypotenuse side.
Given that the leg of a right triangle is 3 units and the hypotenuse is 4 units, it means that
a² + 3² = 4
where a is the length in units, of the other leg of the triangle
a² = 4² - 3
a² = 16 - 9
= 7
a = √7
Answer:
The age of youngest brother is <u>21</u>.
Step-by-step explanation:
Given:
The ages of 3 brothers are represented by consecutive integers.
If the oldest brother's age is decreased by twice the younger brother's age, the result is -19.
Now, to find the age of youngest brother.
Let the age of youngest brother be 
Let the age of middle one be 
.
And the age of oldest brother age be 
According to question:
⇒ 
⇒ 
Adding on both sides we get:
⇒ 
Adding 19 on both sides we get:
⇒ 
Now, getting the age of youngest brother by putting the value of :
⇒ 
Therefore, the age of youngest brother is 21.
Hope this help! :)
360/15 = 24 degree's
