Answer:
The fraction is 1/4
Step-by-step explanation:
we know that
The area of an equilateral triangle, using the law of sines is equal to
where
x is the length side of the triangle
In this problem
Let
b ----> the length side of the regular hexagon
2b ---> the length side of the equilateral triangle
step 1
Find the area of the six triangles
Multiply the area of one triangle by 6
![A=6[x^{2}\frac{\sqrt{3}}{4}]](https://tex.z-dn.net/?f=A%3D6%5Bx%5E%7B2%7D%5Cfrac%7B%5Csqrt%7B3%7D%7D%7B4%7D%5D)
we have
substitute
step 2
Find the area of the regular hexagon
Remember that, a regular hexagon can be divided into 6 equilateral triangles
so
The area of the regular hexagon is the same that the area of 6 equilateral triangles
we have
substitute
step 3
To find out what fraction of the total area of the six triangles is the area of the hexagon, divide the area of the hexagon by the total area of the six triangles
Answer:
5
Step-by-step explanation:
In order to do this, you plug the point C (5,6) and the point D (2,2) into the distance formula, which was provided below. x2-x1 is 3, and that squared is 9. y2-y1 is 4, and that squared in 16. When adding 9 and 16 together, you get 25. When taking the square root of 25, you get + or - 5, but since distance cannot be negative on the coordinate plane, you get 5.
Answer:
32
Step-by-step explanation:
You need to work backwards to solve this equation!
9 - 17 = -8
w / -4 = -8
32 / -4 = -8
Which means that w = 32
First find the amount of the difference between the original price and the current price:
$10,600 - $7,400 = $3,200
Divide the difference by the original price:
3200 / 7400 = 0.4324 = 43.2% increase.
Answer:
37.5%
Step-by-step explanation:
You need to convert this fraction into a decimal to start. After you do this you need to turn the decimal into its percentage form. Soo 0.375 = 3/8 = 37.5%
