Answer:
21.5
Step-by-step explanation:
Counting the full squares: 16
Counting the squares that are more than 1/2: 6
The best estimate would be 21.5
Pi is the ratio of the area of a circle to its diameter.
Option B. 13π/6 and Option D. 5π/6
To get the reference angle π/6 for the given angles we will check each angle given in the options.
A. 8π/6
Since 8π/6 means 240° which lies in 3rd quadrant. Therefore reference angle of 240°= 240-180 = 60° or π/3
B. 13π/6
13π/6 means 390° which lies in first quadrant.
Therefore reference angle = 390-360 = 30° or π/6
C. 3π/6
Since 3π/6 means 90° therefore reference angle of 90° is the same as 90°.
Or the reference angle is = π/2
D. 5π/6
5π/6 means angle is 150° which lies in second quadrant therefore reference angle of 150° = 180-150 = 30° or π/6
answer is Option B and D.
Answer:
34175 people will live in Pattersonville 8 years from now
Step-by-step explanation:
Initial population of Pattersonville =40,500
We are given that The census indicated that the population of the town has been decreasing by 2.1% per year .
Now we are supposed to find If this trend continues , approximately how many people will live in Pattersonville 8 years from now
Formula : 
Where N(t)= Population after t years
= Initial population
r = rate of decrease = 2.1 %=0.021
t = 8 years
Substitute the values in the formula :
So,
N(8)=34175.63223
So, 34175 people will live in Pattersonville 8 years from now
Answer:
Step-by-step explanation:
b=boy
a= a on the exam
b=15
b∩a=6
b'∩a=3
b'∪a'=?
b'∪a'= b'+a'-b'∩a'
a= b∩a+b'∩a (law of total probability) = 9
a'= 25-9 = 16
b'= 25-15= 10
16+10-7=19
19/25= .76
