Answer:
1
Step-by-step explanation:
Using the definition
n
= 
where n! = n(n - 1)(n - 2) × 3 × 2 × 1
and 0! = 1
3
= 
= 
= 
= 1
Answer:
n = 20.
Step-by-step explanation:
The external angles of a polygon add up to 360 degrees. So:
30 + 42 + 16(n - 2) = 360 where n is the number of sides of the polygon.
16n + 30 + 42 - 32 = 360
16n + 40 = 360
16n = 320
n = 20.
Answer: In 2008 the population was 21,525,144
Step-by-step explanation:
You need to use the following formula for Exponential decay:
Where 
is the initial population in the year 0, 
is the rate of decay and 
is the time.
In this case, you can identify that:
Therefore, substituting these values into the formula for Exponential decay, you get:
Then, in 2008 the population was 21,525,144
The answer to your question is 40.
Answer:
m∠BAC = 105°
m∠FAB = 75°
Step-by-step explanation:
By using the property of an exterior angle of a triangle,
Measure of an exterior angle is equal to the sum of opposite two angles of a triangle.
From the triangle given in the picture,
m∠ABC + m∠BCA + m∠CAB = 180°
(13x - 3)° = (3x + 2)° + 55°
13x - 3 = 3x + 57
13x - 3x = 57 + 3
10x = 60
x = 6
m∠FAB = (13x - 3)° = 75°
m∠ABC = (3x + 2)° = 20°
Since, ∠BAC and ∠FAB are the linear pair of angles,
m∠BAC + m∠FAB = 180°
m∠BAC + 75° = 180°
m∠BAC = 180° - 75° = 105°
