Answer:
69.08cm
Step-by-step explanation:
The formula for the circumference is
pi times diameter=circumference
Since we are using 3.14 and we know the diameter we can plug that in
3.14 times 22= circumference
69.08=circumference
Answer: There are 456975758 plates that the state can issue.
Step-by-step explanation:
Since we have given that
Number of letters = 4
Number of numerals = 3
And 242 letter arrangements are not allowed.
As we have 26 letters i.e A-Z
and numerals i.e, 0-9
So, the number of plates would be

So, the restricted letters deducting would be

Hence, there are 456975758 plates that the state can issue.
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.
Given:
Budget for tiles = 1,200
number of white tiles = 38
unit cost of white tiles = 12
budget for brown tiles = x
cost of white tiles = 38 x 12 = 456
The inequality would be:
Cost of brown tiles + cost of white tiles <u><</u> budget
x + 456 <u><</u> 1,200
solving the inequality:
x + 456 <u><</u> 1,200
<u> - 456 -456</u>
x <u><</u> 744
Mr. Jacobs can spend up to 744 for the brown tiles.
u have to calcuate there outsides by multiplying