Answer:
HEXAGON:
Using the same methods as for hexagons to the right (I'll let you do the pictures)...
To find the sum of the interior angles of a dodecagon, divide it up into triangles... There are ten triangles... Because the sum of the angles of each triangle is 180 degrees... We get
So, the sum of the interior angles of a dodecagon is 1800 degrees.
Regular Dodecagons:The properties of regular dodecagons:
All sides are the same length (congruent) and all interior angles are the same size (congruent).
To find the measure of the angles, we know that the sum of all the angles is 1800 degrees (from above)... And there are twelve angles...
So, the measure of the interior angle of a regular dodecagon is 150 degrees.
The measure of the central angles of a regular dodecagon:
To find the measure of the central angle of a regular dodecagon, make a circle in the middle (I'll let you do the picture)... A circle is 360 degrees around... Divide that by twelve angles...
So, the measure of the central angle of a regular dodecagon is 30 degrees.
Answer:
B
Step-by-step explanation:
√16/25 = 4/5 = 0.8-> (4/5 x 4/5 = 16/25)
(2/5)^3 = 8/125 = 0.064
-(-0.3)^3 = 0.027 (an odd exponent mantains the same sign of the number and minus x minus = +)
-√169 = -13
-13 is a negative number so it is surely the smallest
2 is minor than 6 so we have that 0.027 is minor than 0.064
8 is major than 0, so 0.8 is the greatest number
we have
-√169 ; -(-0.3)^3 ; (2/5)^3 ; √16/25
Answer:
22.8 m/s at 17.4°
Step-by-step explanation:
You want to find the resultant of ...
3 cis 0° +20 cis 20° = (3, 0) +(18.794, 6.840) = (21.794, 6.840)
The magnitude is the root of the sum of the squares of the velocities in the horizontal and vertical directions:
s = √(21.794² +6.840²) ≈ 22.8
The direction is found from the fact that the tangent of the angle is the ratio of vertical to horizontal coordinates:
angle = arctan(6.840/21.794) ≈ 17.4°
The resultant velocity is 22.8∠17.4° meters per second.
Answer:
-11, -2, -1, 1, 2, 3, 6
Step-by-step explanation:
largest negatives are the smallest and then going up the bigger the positive numbers are the largest numbers
