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ExtremeBDS [4]
3 years ago
11

The cover of a soccer ball consists of interlocking regular pentagons and regular hexagons. Why can't they be interlocked in thi

s pattern to tile a floor?
Mathematics
1 answer:
FinnZ [79.3K]3 years ago
5 0

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.

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Machine A and machine B both make car parts. Machine A makes 7 parts every 10 minutes. Machine B makes 16 parts every 15 minutes
exis [7]

Answer:

1184

Step-by-step explanation:

Given :

No. of parts made by machine A in 10 minutes = 7

No. of parts made by machine A in 10*6 minutes (1 hour) = 7 * 6 = 42 parts

No. of parts made by machine A in 12 hours as

                                               required in problem = 42 * 12 =  504

______________________________________________________

No. of parts made by machine B in 15 minutes = 17

No. of parts made by machine A in 15*4 =60 minutes (1 hour) = 17 * 4= 68 parts

No. of parts made by machine B in 10 hours as

                                               required in problem = 68 * 10 =  680

______________________________________________________

There fore total no. of parts made by

machine A and machine B  on Monday = 680 + 504 = 1184 (Answer)

6 0
2 years ago
Liam works at a zoo. He was looking at some data showing the masses of their 5 African elephants. The mean mass of the elephants
hram777 [196]

Answer:

Leo has b boxes of pencils. each box contains 6 pencils. he has a total of 42 pencils. the equation that represents this situation the value of b that makes the equation true the first one is b+6=42,6b=42,b=42+6,or 42b=6 the second one are 7,836 48

Step-by-step explanation:

/

4 0
2 years ago
A die is rolled. What is the probability of getting an even number?
balandron [24]

Answer:

I wanna say 1/3 because there 3 even numbers on a dice

Step-by-step explanation:

3 0
3 years ago
At midnight, the temperature was -8° F. At noon, the temperature was 23° F. Which expression represents the increase in temperat
Mariana [72]

Answer:

C

Step-by-step explanation:

Increase is difference between ending and begining value so 23-(-8) =23+8.

In this case its absolute value because it has to be positive

6 0
3 years ago
PLEASE I NEED HELP URGENTLY
aleksandrvk [35]

Answer:

4.95+0.10x=120

Step-by-step explanation:

Hope this helps

5 0
2 years ago
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