4.875 as a fraction is 4 7/8.
* Write decimal as a fraction by putting 1 as denominator, so 4.875/1
* Multiply numerator and denominator by 10 x 10 x 10 to get 4875/1000
* Simplify the fraction so it gets 39/8
* Turn into a mixed number and get 4 7/8
ANSWER
![96 \sqrt{3} {cm}^{2}](https://tex.z-dn.net/?f=%2096%20%5Csqrt%7B3%7D%20%20%7Bcm%7D%5E%7B2%7D%20)
EXPLANATION
The area of a regular polygon is
![Area= \frac{1}{2} ap](https://tex.z-dn.net/?f=Area%3D%20%5Cfrac%7B1%7D%7B2%7D%20ap)
where 'a' is the apothem of the polygon and 'p' is the perimeter of the polygon.
From the diagram,
![\sin(60) = \frac{a}{8}](https://tex.z-dn.net/?f=%20%5Csin%2860%29%20%20%3D%20%20%5Cfrac%7Ba%7D%7B8%7D%20)
a=8sin(60)
![a = 4 \sqrt{3}](https://tex.z-dn.net/?f=a%20%3D%204%20%5Csqrt%7B3%7D%20)
![\cos(60) = \frac{l}{8}](https://tex.z-dn.net/?f=%20%5Ccos%2860%29%20%20%3D%20%20%5Cfrac%7Bl%7D%7B8%7D%20)
![l = 8 \cos(60)](https://tex.z-dn.net/?f=l%20%3D%208%20%5Ccos%2860%29%20)
![l = 4](https://tex.z-dn.net/?f=l%20%3D%204)
The length of one side of the hexagon is 2×4=8.
The perimeter of the hexagon is
p=6×8=48
The area of the hexagon is
![= \frac{1}{2} \times 4 \sqrt{3} \times 48](https://tex.z-dn.net/?f=%20%3D%20%20%5Cfrac%7B1%7D%7B2%7D%20%20%5Ctimes%204%20%5Csqrt%7B3%7D%20%20%5Ctimes%2048)
![= 96 \sqrt{3} {cm}^{2}](https://tex.z-dn.net/?f=%20%3D%2096%20%5Csqrt%7B3%7D%20%20%7Bcm%7D%5E%7B2%7D%20)
Answer:
I think they are SAS but I'm not sure
Answer:
is in proportion.
is not in proportion.
is in proportion.
is in proportion.
Step-by-step explanation:
The first example is
and it is in proportion.
This is because, you will get the same simplest fraction (
) from the fraction
by dividing its numerator and denominator by 5.
The second example is
and it is not in proportion.
This is because, you can not get the simplest fraction (
) from the fraction
after simplification.
The third example is
and it is in proportion.
This is because, you will get the same simplest fraction (
) from the fraction
by dividing its numerator and denominator by 2 and from the fraction
by dividing its numerator and denominator by 3.
The fourth example is
and it is in proportion.
This is because, you will get the same simplest fraction (
) from the fraction
by dividing its numerator and denominator by 5. (Answer)