Answer:
Actually it's not polygon. it's a nonagon. With r=8.65mm″, the law of cosines gives us side a:
a=√{b²+c²−2bc×cos40°}
a=√{149.645−149.645cos40°}
Area Nonagon = (9/4)a²cos40°
=9/4[149.645−149.645cos40°]cot20°
=336.70125[1−cos(40°)]cot(20°)
Applying an identity for the cos(40°) does not get us very far…
= 336.70125[1−(cos2(20°)−1)]cot(20°)
= 336.70125[2−cos2(20°)]cot(20°)
= 336.70125[2−(1−sin2(20°))]cot(20°)
= 336.70125[1+sin2(20°)]cos(20°)sin(20°)
= 336.70125[cot(20°)+sin(20°)cos(20°)]mm²
Answer:
The correct answer will be X = 4
Step-by-step explanation:
Using Pythagoras
AB^2 + BC^2 = AC^2
2^2 + (2√3)^2 = AC^2
4 + (4*3) = AC^2
4+12 = AC ^ 2
AC ^2 = 16
AC = √16 = 4
Answer:
15% × 7 = 1.05
32,000 - 1.05 = 31,998.95
31,998.95 ‐‐‐‐‐> 31,999
$31,999
(If you don't need to simplify, the answer would be $31,998.95, but I did it just incase you do)
Step-by-step explanation:
Explanation:
As we know that set is the collection of elements and set builder is the method of defining the set with the help of specific property in which we can use arithmetic operations as well
Generally,
It is the general form of any set in which we can construct the complete set with the help of equation in the given in set builder form.
Since we have the elements : 45,55,65,75
So, the set builder form will be { x: x =5(2n+1) ,4≤n≤7,x,n∈ N }
We will read it as it is the value of x which will be find with the help of given equation i.e. x=5(2n+1) where n goes from 4 to 7 only and x and n are natural numbers only.
