Answer:
2.5 square feet
Step-by-step explanation:
The area (A) of a regular hexagon in terms of its side length (s) is ...
A = (3/2)(√3)s²
The side length in feet is ...
(30 cm)×(1 ft)/(30.48 cm) = s = 30/30.48 ft = 125/127 ft
Then the area in square feet is ...
A = (3/2)√3(125/127 ft)² ≈ 2.517 ft²
The approximate area of the hexagon is 2.5 square feet.
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<em>Comment on the question</em>
There is nothing in this problem statement that relates the hexagon to the window area.
Answer:
(-138) is the answer.
Step-by-step explanation:
Perfect square numbers between 15 and 25 inclusive are 16 and 25.
Sum of perfect square numbers 16 and 25 = 16 + 25 = 41
Sum of the remaining numbers between 15 and 25 inclusive means sum of the numbers from 17 to 24 plus 15.
Since sum of an arithmetic progression is defined by the expression
![S_{n}=\frac{n}{2}[2a+(n-1)d]](https://tex.z-dn.net/?f=S_%7Bn%7D%3D%5Cfrac%7Bn%7D%7B2%7D%5B2a%2B%28n-1%29d%5D)
Where n = number of terms
a = first term of the sequence
d = common difference
![S_{8}=\frac{8}{2} [2\times 17+(8-1)\times 1]](https://tex.z-dn.net/?f=S_%7B8%7D%3D%5Cfrac%7B8%7D%7B2%7D%20%5B2%5Ctimes%2017%2B%288-1%29%5Ctimes%201%5D)
= 4(34 + 7)
= 164
Sum of 15 +
= 15 + 164 = 179
Now the difference between 41 and sum of perfect squares between 15 and 25 inclusive = 
= -138
Therefore, answer is (-138).
30 yards = 90 ft
3.5 pounds = 56 oz
3.5 cm = 18.8976 in
12ft and 10 inches (12.833333333333334 = 154 im