Answer:
the 3rd one
Step-by-step explanation:
A point , (x,y) is reflected across the y axis. the resulting point is (-x,y)
so
if (5.75,0) is the reflected point, then (-5.75,0) is the original
the distance is the double the absolute value of the x value (basically a horizontal line beteen the 2 points)
so
2|-5.75|=2(5.75)=11.5
distance is 11.5 units
Hello!
5/5 in simplest form equals 1
5 divided by 5 is 1
Answer:
The length of the side of the original garden is 5 m.
Step-by-step explanation:
Let the original side of the garden be x.
SInce we are given that the side is incresed by 7 m.
So, the new side = x+7
Formula of area of square = ![x^{2}](https://tex.z-dn.net/?f=x%5E%7B2%7D)
Where x is the side length of square .
So, area of garden after increasing the length of side by 7 =![(x+7)^{2}](https://tex.z-dn.net/?f=%28x%2B7%29%5E%7B2%7D)
Since we are given that the new total area of the garden will be ![144m^2](https://tex.z-dn.net/?f=144m%5E2)
⇒![(x+7)^{2}=144](https://tex.z-dn.net/?f=%28x%2B7%29%5E%7B2%7D%3D144)
⇒![(x+7)^{2}=12^2](https://tex.z-dn.net/?f=%28x%2B7%29%5E%7B2%7D%3D12%5E2)
⇒![x+7=12](https://tex.z-dn.net/?f=x%2B7%3D12)
⇒![x=12-7](https://tex.z-dn.net/?f=x%3D12-7)
⇒![x=5](https://tex.z-dn.net/?f=x%3D5)
Thus the length of the side of the original garden is 5 m.
Answer:
The center of the tetrahedron divides each of the four heights (or medians) in the ratio 1:3 (in an equilateral triangle the corresponding ratio is 1:2). The smaller part is also the radius of the inscribed sphere. Therefore the radius of this sphere is one quarter of the height or 9 in your case.