En Español
En la class de ciencias hay muchos estudiantes. A Irene siempre le gusta estudiar y haver la tarea. En todos los exámenes saca cien. Pablo nunca estudia y no le gusta tomar aptunes. En los exámenes saca cuarenta, cincuenta y trienta. Muchas veces, a Sandra le gusta hacer la tarea. En los exámenes saca noventa, cuarenta y cien. A Eduardo a veces le gusta estudiar y hacer la tarea. En los exámenes saca noventa, noventa y noventa. A Javier nunca le gusta leer libros. En los exámenes saca cuarenta, cincuenta y cuarenta. Todos los estudiantes son differentes y me gusta enseñar ciencias a todos.
In english
In science class there are many students. Irene always likes to study and do her homework. In all the exams he gets a hundred. Pablo never studies and does not like to take aptunes. In the exams he gets forty, fifty and thirty. Many times Sandra likes to do her homework. In the exams he gets ninety, forty and one hundred. Eduardo sometimes likes to study and do homework. In the exams he gets ninety, ninety and ninety. Javier never likes to read books. On the exams he gets forty, fifty and forty. All students are different and I like to teach science to everyone.
Hope this helps!
Let A = {a, b, c}, B = {b, c, d}, and C = {b, c, e}. (a) Find A ∪ (B ∩ C), (A ∪ B) ∩ C, and (A ∪ B) ∩ (A ∪ C). (Enter your answe
wariber [46]
Answer:
(a)
(b)
(c)
<em>They are not equal</em>
<em></em>
Step-by-step explanation:
Given
Solving (a):
B n C means common elements between B and C;
So:
So:
u means union (without repetition)
So:
Using the illustrations of u and n, we have:
Solve the bracket
Substitute the value of set C
Apply intersection rule
In above:
Solving A u C, we have:
Apply union rule
So:
<u>The equal sets</u>
We have:
So, the equal sets are:
and
They both equal to 
So:
Solving (b):
So, we have:
Solve the bracket
Apply intersection rule
Solve the bracket
Apply union rule
Solve each bracket
Apply union rule
<u>The equal set</u>
We have:
So, the equal sets are:
and
They both equal to
So:
Solving (c):
This illustrates difference.
returns the elements in A and not B
Using that illustration, we have:
Solve the bracket
Similarly:
<em>They are not equal</em>
An apothem is a line drawn from the centerpoint of the polygon to one side of the polygon. There is a formula for area in terms of apothem:
A = (1/2)*(Perimeter)*(Apothem)
The perimeter of the regular hexagon is just the length of one side multiplied with the number of sides. Since a hexagon has 6 sides,
P = 6(15) = 90in
A = 1/2 * 90 * 13
A = 585 square inches
1/5r = 15
(5)1/5r = 15(5)
r = 75
