The least common multiple is 2. 2 is the highest number that goes in to each of these numbers.
We know that
the distance from the centroid of the triangle to one of the vertices is the radius of the circle <span>required to inscribe an equilateral triangle.
[distance </span>centroid of the triangle to one of the vertices]=(2/3)*h
h=the <span>altitude of the equilateral triangle-----> 5.196 in
so
</span>[distance centroid of the triangle to one of the vertices]=(2/3)*5.196
[distance centroid of the triangle to one of the vertices]=3.464 in----> 3.5 in
the radius is equal to the distance of the centroid of the triangle to one of the vertices
hence
the radius is 3.5 in
the answer is
the radius is 3.5 in
Answer:
Here's one way to do it
Step-by-step explanation:
Divide the hexagon into triangles, for example, as in the diagram below.
The triangles are all inside the hexagon, so the sum of their interior angles is the sum of those of the hexagon.
The sum of the interior angles of a triangle is 180°.
There are four triangles, so
Sum of interior angles = 4 × 180° = 720°
Answer:
At 1% significance level, this difference is considered to be extremely statistically significant.
Step-by-step explanation:
Group Group One Group Two
Mean 41.300 54.800
SD 6.800 6.000
SEM 2.050 1.604
N 11 14
H0: Mean of group I = Mean of group II
Ha: Mean of group I < mean of group II
(Left tailed test at 1% significance level)
The mean of Group One minus Group Two equals -13.500
standard error of difference = 2.563
t = 5.2681
df = 23
p value= 0.00005
Since p < significance level, reject H0
