Answer: Because of gaps between the vertex of Pentagons and hexagon.
Step-by-step explanation:
The Pentagon has 5 sides and 5 vertex angles. While hexagon has 6 sides and six vertex angles
The sum of the angle of polygon is equal to ( n - 2 )180
Sum of the angle of a Pentagon will be: (5 - 2)×180 = 540
Each vertex angle of a Pentagon = 540/5 = 108
Sum of the angle of hexagon will be: (6 - 2)×180 = 720
Each vertex angle of a hexagon =
720/6 = 120
To interlock Pentagon and hexagon, the sum of the combination of vertex angles of both must be equal to 360 ( sum of the angles at a point = 360)
Since there is no number of combinations that can be equal to 360, there will surely be a gap.
Answer:
(a) √25 rational
(b) √30 irrational
Step-by-step explanation:
Note : only perfect squares have rational roots
25 = 5² then 25 is a perfect square
therefore √25 = 5 is a rational number
30 cannot be written in the form a² where ‘a’ I start a natural number then 30 is not a perfect square
Therefore √30 is irrational.
Answer:
the answer is 220
Step-by-step explanation:
8(27)+4
216 + 4
220
Answer:
$3.10 per gallon
Step-by-step explanation:
You are trying to find how many dollars per one gallon.
You divide $68.30 by 22 so you can get dollars per one gallon.
68.30 ÷ 22 = 3.10
Therefore it cost $3.10 per gallon you spend.
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