Answer:
Step-by-step explanation:
Since this is a 30-60-90 triangle, we need the Pythagorean triple for such a triangle. the side length across from the 30 degree angle is labeled as x, the side across from the 60 degree angle is x√3, and the hypotenuse is 2x. Since we know the side length of the side across from the 60 degree angle, we use that identity and solve for x:
and
and rationalizing the denominator,
![x=\frac{18}{\sqrt{3} }*\frac{\sqrt{3} }{\sqrt{3} }=\frac{18\sqrt{3} }{3}=6\sqrt{3}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B18%7D%7B%5Csqrt%7B3%7D%20%7D%2A%5Cfrac%7B%5Csqrt%7B3%7D%20%7D%7B%5Csqrt%7B3%7D%20%7D%3D%5Cfrac%7B18%5Csqrt%7B3%7D%20%7D%7B3%7D%3D6%5Csqrt%7B3%7D)
This is the side length of the side across from the 30 degree angle. In order to find the hypotenuse, we have to multiply this value by 2 to get
12√3, the third choice down.
18% = 18/100 = 0,18
22000/0,18 = 22000/(18/100) = (22000 . 100)/18 = 1100000/9 = 122222,2222...
So $22,000 divided by 18% is equal to $122.222,22
The 7th term is 24 with a common ratio 4/3)
Answer:
b=8.28
Step-by-step explanation:
using pythagorean theorem:
a^2+b^2=c^2
5.62^2 +b^2= 10^2
31.36 + b^2 = 100
b^2= 68.64
b=8.28