The union and intersection of the sets is given as { -4, -9 , 19} and { -4} respectively.
<h3>What is a set?</h3>
A set is simply a mathematical model for a collection of different things which could be elements or members.
Union of sets represented with '∪' is the combination of two sets without repetition
Intersection of sets represented with '∩' is the sum of elements common between the.
From the expression given, we have;
[-9,-4] U (-4, 19)
= { -4, -9 , 19}
[-9,-4] U (-4, 19)
= { -4}
Thus, the union and intersection of the sets is given as { -4, -9 , 19} and { -4} respectively.
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Answer:
n² + 3n +1
Step-by-step explanation:
n(n+1) + 2n + 1
<h3>i) distribute n into the parantheses</h3>
= (n×n) + (n×1) + 2n + 1
= n² + n + 2n + 1
<h3>ii) collect like terms</h3>
= n² + 3n +1
Answer:
There are 200 4th grades and 360 third graders
Step-by-step explanation:
560/2=280-80=200 280+80=360
Answer:
The perimeter of given figure = 56.56 ft
Step-by-step explanation:
Step(i):-
From diagram
The length of the rectangle = 10 ft
The width of the rectangle = 8 ft
Perimeter of the rectangle
= 2 ( l+w)
= 2 ( 10 + 8)
= 2 × 18
= 36
Step(ii):-
The semi circle is included in the given diagram
Now we will find the perimeter of semicircle
We know that
perimeter of the circle
p = 2πr + d
perimeter of the semicircle
P = πr + 2 r (∵ d = 2 r)
Step(iii):-
From diagram the diameter of semicircle is equal to the width of the rectangle
d = 8
d = 2 r = 8
The radius of the circle 'r' = 4
perimeter of the semicircle
P = πr + 2 r
P = 3.14 ( 4) + 8
P= 20.56
Conclusion:-
The perimeter of given figure
= perimeter of rectangle + perimeter of semicircle
= 36 + 20.56
=56.56 ft
