The light's coverage area is given mathematically as i.e. Area=
Given that a lighthouse casts a revolving beam of light as far as they peir and asked the area is covered.
The revolving beam of light covers the whole space i.e entirely 360°
I.e. it forms a circle-like region
Area of circle = 
{ where r is the radius of circle}
Let's assume the distance traveled by light as "d"
as it forms a circular region, it forms a circle of radius "d"
Mathematical connection i.e. area of the region
⇒area of circular region= {where d is the radius of region}
Learn more about area here:
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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:
Only 6
Step-by-step explanation:
We need to factor the equation to find the solution. TO factor we need to find what times what = 36, and what plus what equals -12.
-6 times -6 = 36
and -6 + -6 = -12
So this can be factored into
(x-6)(x-6)=0
We can find the solution by setting each parentheses equal to zero.
x-6 = 0
x = 6
So the only solution is 6
I attached an image that shows an example of factoring.
Answer:
35) 5/12 36) 7/11
Step-by-step explanation:
Because, when you are drawing a girls name from the hat, the probability would be 7/12, then you replace her name and that would make the probability to draw a boys name 5/12. (since you replaced the girls name before.
now you have a probability of drawing 5/12 for a boys name, and now you don't replace the name, so the probability to draw a girls name out of the hat, would be 7/11
(idk if you have to put both answers on one, so if so, then do that for your answer Example: for 35, if the answer is 5/12, 7/12 then do that
Hope this helped, sorry I am not good at explaining things:)
