Answer:
The polygon has 9sides with an interior angle measure of 140°
Step-by-step explanation:
The exterior angle of a regular polygon=360°/n
40°=360°/n
n=360°/40°=9
So the polygon has 9 sides thus, a nonagon.
The measure of the interior angle=(n-2)180°/n
=(9-2)×180°/9=140°
Answer:
Step-by-step explanation:
Given y = coskt
y' = -ksinkt
y'' = -k²coskt
Substitute this y'' into the expression 25y'' = −16y
25(-k²coskt) = -16(coskt)
25k²coskt = 16(coskt)
25k² = 16
k² = 16/25
k = ±√16/25
k = ±4/5
b) from the DE 25y'' = −16y
Rearrange
25y''+16y = 0
Expressing using auxiliary equation
25m² + 16 = 0
25m² = -16
m² = -16/25
m = ±4/5 I
m = 0+4/5 I
Since the auxiliary root is complex number
The solution to the DE will be expressed as;
y = Asinmt + Bsinmt
Since k = m
y = Asinkt+Bsinkt where A and B are constants
Answer:
a
Step-by-step explanation:
