Answer:
The sum of interior angles of given polygon is 900°
Step-by-step explanation:
A regular polygon is a n-sided figure with n sides and the length of all sides is same.
In the diagram, we have a polygon with 7 sides.
The formula given is used to calculate the sum of interior angles of a polygon
Here n is the number of sides of polygon
In the given polygon
n = 7
So,
Hence,
The sum of interior angles of given polygon is 900°
Answer:A
Step-by-step explanation:
the answer is A
Answer:
36
Step-by-step explanation:
becuase each row has 6 in them and there are 6 rows so 36 is the final answer
Answer:
$0.25/g
Step-by-step explanation:
20g --- $5.00
1g --- 
× $5.00 = $0.25
Answer:
y = 2cos5x-9/5sin5x
Step-by-step explanation:
Given the solution to the differential equation y'' + 25y = 0 to be
y = c1 cos(5x) + c2 sin(5x). In order to find the solution to the differential equation given the boundary conditions y(0) = 1, y'(π) = 9, we need to first get the constant c1 and c2 and substitute the values back into the original solution.
According to the boundary condition y(0) = 2, it means when x = 0, y = 2
On substituting;
2 = c1cos(5(0)) + c2sin(5(0))
2 = c1cos0+c2sin0
2 = c1 + 0
c1 = 2
Substituting the other boundary condition y'(π) = 9, to do that we need to first get the first differential of y(x) i.e y'(x). Given
y(x) = c1cos5x + c2sin5x
y'(x) = -5c1sin5x + 5c2cos5x
If y'(π) = 9, this means when x = π, y'(x) = 9
On substituting;
9 = -5c1sin5π + 5c2cos5π
9 = -5c1(0) + 5c2(-1)
9 = 0-5c2
-5c2 = 9
c2 = -9/5
Substituting c1 = 2 and c2 = -9/5 into the solution to the general differential equation
y = c1 cos(5x) + c2 sin(5x) will give
y = 2cos5x-9/5sin5x
The final expression gives the required solution to the differential equation.
