Answer: UW= 9√3
Step-by-step explanation:
This right triangle is a 30-60-90 triangle. This is a special triangle. Since this is a special triangle, the hypotenuse is 2x.
The hypotenuse is 18. We can figure out the length of x.
2x=18
x=9
Since we got 9, you would think it is the answer, but it's not. The length across the 60° angle is x√3. Now that we know the length across from 60°, we can plug in x.
9√3
We can check our answer by using Pythagorean Theorem.
9²+(9√3)²=18²
81+243=18²
324=324
Since they are equal, we know we have the right answer.
Answer:
No.
Step-by-step explanation:
Plugging in g(x) into f(x), you don't get x. g(x) would need to be = 
X=23 First, you have to subtract 12 by 12 to cancel it out. Next, you have to do the same thing to 20.05. 20.05 minus 12 is 8.05. All you have left is .35x. To get rid of the this you have to divide .35x by .35. Now all you have left is x. Finally you have to do the same thing to 8.05. 8.05 divided by .35 is 23. So, x=23
A = length x width
15,000 = (w + 30) x w
15,000 =
+ 30w
0 =
+ 30w - 15,000
Use quadratic formula to find that w= -15 + or - 5
. Because distance cannot be negative, the width is -15 + 5
meters or approximately 108.39 meters. This means that the length is approximately 138.39 meters.
