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:
jonathan
Step-by-step explanation:
if for example jonathan spends 5 hours of homework or reading he'll get 3 hours of gaming. if lucas spends the same amount of time on homework or reading he'll only get 2 and a half hours playing.
3.24=3+24/100=300/100+24/100=324/100=162/50=81/25
Answer: Try 1/8 simplifyed or 3/24 improper
Step-by-step explanation: 3/2÷12/1 Divide 3 and 1 and 2 and 12. 3/24 if needed to simplify 3/24 its 1/8
I tried lol sorry if its wrong
Answer:
Option c ==> 5/12 is the answer
