Answer:
<h2>
![\sqrt{30}](https://tex.z-dn.net/?f=%20%5Csqrt%7B30%7D%20)
</h2>
Step-by-step explanation:
Given,
Perpendicular ( p ) = 3√2
Base ( b ) = 2√3
Hypotenuse ( h ) = ?
Now, let's find the length of the hypotenuse:
Using Pythagoras theorem:
![{h}^{2} = {p}^{2} + {b}^{2}](https://tex.z-dn.net/?f=%20%7Bh%7D%5E%7B2%7D%20%20%3D%20%20%7Bp%7D%5E%7B2%7D%20%20%2B%20%20%7Bb%7D%5E%7B2%7D%20)
plug the values
![{h}^{2} = {(3 \sqrt{2} )}^{2} + {(2 \sqrt{3} )}^{2}](https://tex.z-dn.net/?f=%20%7Bh%7D%5E%7B2%7D%20%20%3D%20%20%7B%283%20%5Csqrt%7B2%7D%20%29%7D%5E%7B2%7D%20%20%2B%20%20%7B%282%20%5Csqrt%7B3%7D%20%29%7D%5E%7B2%7D%20)
To raise a product to a power, raise each factor to that power
![{h}^{2} = 9 \times 2 + 4 \times 3](https://tex.z-dn.net/?f=%20%7Bh%7D%5E%7B2%7D%20%20%3D%209%20%5Ctimes%202%20%2B%204%20%5Ctimes%203)
Multiply the numbers
![{h}^{2} = 18 + 12](https://tex.z-dn.net/?f=%20%7Bh%7D%5E%7B2%7D%20%20%3D%2018%20%2B%2012)
Add the numbers
![{h }^{2} = 30](https://tex.z-dn.net/?f=%20%7Bh%20%7D%5E%7B2%7D%20%20%3D%2030)
Take the square root of both sides of the equation
![h = \sqrt{30}](https://tex.z-dn.net/?f=h%20%3D%20%20%5Csqrt%7B30%7D%20)
Hope this helps...
Best regards!!
Answer:
y= -2x+ 5
Step-by-step explanation:
plug in y=mx+b
Answer:
13.448, rounded off: 13.5 ft
Step-by-step explanation:
![r=\frac{C}{2\pi }](https://tex.z-dn.net/?f=r%3D%5Cfrac%7BC%7D%7B2%5Cpi%20%7D)
Where r = radius, C = circumference.
= 13.5 ft
Solution
2/3
Alternative Form
~3.4641