Area of a circle is
![\pi r^2](https://tex.z-dn.net/?f=%20%5Cpi%20r%5E2)
804 =
![\pi r^2](https://tex.z-dn.net/?f=%20%5Cpi%20r%5E2)
804 / pi = r^2
r= square root of (804/pi) which is about 16.
The radius is 16, the diameter is 32.
The circumference is 2(pi)r = 32pi
This is a simple problem based on combinatorics which can be easily tackled by using inclusion-exclusion principle.
We are asked to find number of positive integers less than 1,000,000 that are not divisible by 6 or 4.
let n be the number of positive integers.
∴ 1≤n≤999,999
Let c₁ be the set of numbers divisible by 6 and c₂ be the set of numbers divisible by 4.
Let N(c₁) be the number of elements in set c₁ and N(c₂) be the number of elements in set c₂.
∴N(c₁) =
![\frac{999,999}{6} = 166666](https://tex.z-dn.net/?f=%20%5Cfrac%7B999%2C999%7D%7B6%7D%20%3D%20166666)
N(c₂) =
![\frac{999,999}{4} = 250000](https://tex.z-dn.net/?f=%20%5Cfrac%7B999%2C999%7D%7B4%7D%20%3D%20250000)
∴N(c₁c₂) =
![\frac{999,999}{24} = 41667](https://tex.z-dn.net/?f=%20%5Cfrac%7B999%2C999%7D%7B24%7D%20%3D%2041667)
∴ Number of positive integers that are not divisible by 4 or 6,
N(c₁`c₂`) = 999,999 - (166666+250000) + 41667 = 625000
Therefore, 625000 integers are not divisible by 6 or 4
Answer:
Find the area of the triangle from the coordinate plane.
Y
A
10-
5-1
с
B.
0
-20
-15
-10
-5Step-by-step explanation:
Answer:
You want to make it so you have an even amount of both, correct? This is where you need to know your multiples... here is what I got...
Step-by-step explanation:
By 4 packs of hotdogs and 5 packs of hotdog buns, this way you end up with 40 of each.
Answer:
14
Step-by-step explanation:
Mode is the value that appear most often in a set of data values.
Look at this set of data:
16,14,24,32,14
Which number appears the most? The answer is 14.
16, (14), 24, 32, (14)