Answer:
x = 8.69
Step-by-step explanation:
we know that the perimeter of the dodecagon is 54, so each edge will be 54/12
54/12 = 4.5 cm
if we draw the lines to remove 6 vertices and form a hexagon, 6 triangles with 2 sides of 4.5 cm are formed.
we know that the angle of each vertex is 150 ° because it is a dodecagon
if we apply the law of cosines we can take the other side of the triangle, since we only need 2 side and the opposite angle to the side we want to know
a would be our x
b = 4.5
c = 4.5
A = 150°
a^2 = b^2 + c^2 - 2bc * cos (A)
x^2 = 4.5^2 + 4.5^2 - 2 * 4.5 * 4.5 * cos (150)
x^2 = 20.25 + 20.25 - 40.50 * -0.866
x^2 = 40.50 + 35.07
x = √ 75.57
x = 8.69
Answer: 9162.18
Step-by-step explanation:
8000(1+.0275)^5=9162.18675238
simplify and it is 9162.18
Answer:
A - 6
B - 2
Step-by-step explanation:
Answer:
x = 1 ; x = -7/2
Step-by-step explanation:
Here the sol. of x =
1) x - 1 = 0
=> x = 1
2) 2x + 7 = 0
=> 2x = -7
=> x = -7/2
