Answer:
56.
Step-by-step explanation:
= -(8-12)+60+(-4)*2
= -(-4)+60+(-4)*2
= 4+60+(-4)*2
= 4+60+-4*2
= 4+60-4*2
= 4+60-8
= 64-8
= 56
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:
Red : 5/12
Blue : 1/3
Green: 1/6
Yellow : 1/12
Step-by-step explanation:
5 red marbles + 4 blue marbles + 2 green marbles + 1 yellow marble = 12 total marbles
5 red marbles / 12 total marbles = 5/12
4 blue marbles / 12 total marbles = 4/12 = 1/3
2 green marbles / 12 total marbles = 2/12 = 1/6
1 yellow marbles / 12 total marbles = 1/12
Answer:
22
Step-by-step explanation:
