For the square with side length n, the diagonal measures:

<h3>
How to get the length of the diagonal?</h3>
The sidelength of the square is n, and we want to get the length of the diagonal d.
Notice that the diagonal is the hypotenuse of a right triangle whose catheti measure n.
Then we can use the Pythagorean theorem, which says that the square of the hypotenuse is equal to the sum of the squares of the cathetus;

That is the length of the diagonal.
If you want to learn more about right triangles:
brainly.com/question/2217700
#SPJ1
Answer:
x = - 
Step-by-step explanation:
Given
x + 2 = 
Multiply through by 24 ( the LCM of 6 and 8 ) to clear the fractions
20x + 48 = 21 ( subtract 48 from both sides )
20x = - 27 ( divide both sides by 20 )
x = - 
Answer:
If you know the radius of a circular track, you can use physics to calculate how fast an object needs to move in order to stay in contact with the track without falling when it reaches the top of the loop.
Answer:

Step-by-step explanation:
![24 = \frac{x}{\frac{3}{8}} \\ \\ [24][\frac{3}{8}] = \frac{72}{8} = 9 \\ \\ 9 = x](https://tex.z-dn.net/?f=24%20%3D%20%5Cfrac%7Bx%7D%7B%5Cfrac%7B3%7D%7B8%7D%7D%20%5C%5C%20%5C%5C%20%5B24%5D%5B%5Cfrac%7B3%7D%7B8%7D%5D%20%3D%20%5Cfrac%7B72%7D%7B8%7D%20%3D%209%20%5C%5C%20%5C%5C%209%20%3D%20x)
I am joyous to assist you anytime.