The correct is the second choice
Answer:
True
Step-by-step explanation:
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:
5 d) 9 1/3
6 d) 2
Step-by-step explanation:
Proportions:
5
7 ⇒ 4
BY ⇒3
BY = 7*4/3
BY = 28/3
28/3 = 27/3 + 1/3 = 9 1/3
BY = 9 1/3
6
12 ⇒ 3
8 ⇒ SX
SX = 3*8/12
SX = 2
Use the proportion inches per miles.
.5 in / 2 miles = 2.75 in / d miles
Hope this helps :)