Tan(x) = opp/adj
tan(30°) = 9/n
n x √3/3 = 9
3n x √3 = 27
3√3n = 27
√3n = 9
n = 9/√3
Answer:
14√2
Step-by-step explanation:
This is a 45-45-90 triangle
Because both of the angles are the same all sides, but the hypotonouse are the same
this means that the other length is 14 too
we can use a²+b²=c² to solve
14²+14²=c²
=
392=c²
√392=c
√392=14√2
9514 1404 393
Answer:
- 4
- -2
- 4
- 2
- -2±√2
Step-by-step explanation:
In order to fill the first blank, we need to look at the second line to see what the coefficient of x is.
1. x² +<u> </u><u>4 </u>x +2 = 0
The constant is subtracted from both sides to get the second line.
2. x² +4x = <u> -2 </u>
The value that is added on the third line is the square of half the x-coefficient: (4/2)² = 4
3. x² +4x +<u> 4 </u> = -2 +4
On the fourth line, the left side is written as a square, and the right side is simplified. The square root is taken of both sides.
4. √(x +2)² = ±√<u> 2 </u>
Finally, 2 is subtracted from both sides to find the values of x.
5. x = <u> -2 ±√2 </u>
$48.47. $33.20 + $18.33= $51.53
$51.53 - $100.00= $48.47
Answer:
40
Step-by-step explanation: