Answer:
1485120
Step-by-step explanation:
Since the order of arrangement does not matter, we use combination :
Recall :
nCr = n! ÷ (n-r)!r!
For administrator : 1 out of 5 :
5C1 = 5! ÷ (5-1)!1!
For faculty members : 3 out of 14 :
14C3 = 14! ÷ (14 - 3)!3!
For students : 3 out of 18 :
18C3 = 18! ÷ (18 - 3)!3!
5C1 * 14C3 * 18C3 = 1485120
Answer:
a = 125°
b = 55°
c = 55°
d = 55°
e = 125°
f = 55°
Step-by-step explanation:
See the attached diagram.
The angles (x + 75)° and (2x + 25)° are the alternate angles and they are equal.
So, x + 75 = 2x + 25
⇒ x = 50
Hence, (x + 75)° = (50 + 75)° = 125°.
Now, from the given diagram it is clear that
a = (x + 75)° = (2x + 25)° = e = 125°
And, b = c = d = f = 55°
This is because, a and b are supplementary angles and their sum will be 180°.
So, a + b = 180°
⇒ 125° + b = 180°
⇒ b = 55°
So, b = c = d = f = 55° (Answer)
Answer:
i depends on what the equation is.
Answer:
Hello!!! Princess Sakura here ^^
Step-by-step explanation:
They are equivalent because if you take the 8 and divide it by the 4 you'll get 2. Then if you take the 10 and divide it by the 5 you'll get 2 again.
Answer:
x = 4/3
Step-by-step explanation:
f(x) = 3x - 1
f(x) = 3
set equal
3x - 1 = 3
add 1 to both sides
3x = 4
Divide both sides by 3
x = 4/3
