Answer:
1/16
Step-by-step explanation:
2^-4=1/2^4=1/16
Answer:
5
Step-by-step explanation:
6a = (a*-3) + 45
then:
6a = -3a + 45
6a + 3a = 45
9a = 45
a = 45/9
a = 5
Check:
6*5 = (5*-3) + 45
30 = -15 + 45
Not really sure but I think is Copper!
Answer:
About 9.1 yards tall.
Step-by-step explanation:
So, we can draw the right triangle shown below:
We want to find h.
Since we know the angle and the side adjacent to the angle and we wan to find the opposite side, we will use the tangent ratio:
![\displaystyle \tan(x^\circ)=\frac{\text{Opposite}}{\text{Adjacent}}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Ctan%28x%5E%5Ccirc%29%3D%5Cfrac%7B%5Ctext%7BOpposite%7D%7D%7B%5Ctext%7BAdjacent%7D%7D)
So:
![\displaystyle \tan(20)=\frac{h}{25}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Ctan%2820%29%3D%5Cfrac%7Bh%7D%7B25%7D)
Therefore:
![\displaystyle h=25\tan(20)](https://tex.z-dn.net/?f=%5Cdisplaystyle%20h%3D25%5Ctan%2820%29)
Use a calculator. Ensure your calculator is in the correct mode (degrees mode):
![h\approx 9.1\text{ yards}](https://tex.z-dn.net/?f=h%5Capprox%209.1%5Ctext%7B%20yards%7D)
The goal post is around 9.1 yards tall.