ANSWER
672cm²
EXPLANATION
The area of a regular hexagon is given by the formula,
where a=14cm is the apothem and p=96cm is the perimeter of the regular hexagon.
We substitute the values into the formula,
Therefore the approximate area of the hexagon is 672cm²
Use the following formula valid fo every polyhedron.
v-e+f=2
<span>
Search for Euler characteristic, or Euler-Poicare characteristic for more depth about this formula </span>
v= number of vertices
e=number of edges
f=number of faces
<span>You get v=13
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Answer:13.86km
Step-by-step explanation: see attachment
As there are 10 doughnuts in each cartoon and 4 in each bag, the formula would be:
t=10c+4b
Answer:
1832 miles
Step-by-step explanation:
First we need to find the angle between the routes of the planes.
If one is N30°W and the other is S45°W, we can find the angle between the routes with the following equation:
30 + angle + 45 = 180
angle = 105°
Then, we need to find the distance travelled by each plane, using the formula:
distance = speed * time
The time is 1.5 hours, so we have that:
distance1 = 800 * 1.5 = 1200 km
distance2 = 750 * 1.5 = 1125 km
Now, to find the distance between the planes, we can use the law of cosines:
distance^2 = 1200^2 + 1125^2 - 2*1200*1125*cos(105)
distance^2 = 3356214.43
distance = 1832 miles
