Consider the point where the hexagons meet the positive half of the y axis.
The inner hexagon meets the axis at 
, whereas the outer hexagon meets the axis at 
So, we're looking for a dilation constant 
such that
So, solving by k we have
2^9 = 2 x 2 x2 x 2 x 2 x 2 x2 x 2 x 2 = 512
2 ^9 = 512
You regroup because the 4 in 64 plus the 3 in 43 equals 7, then you move onto the tens place, and 60 plus 40 equals 100, so that is how. Your answer is 107.
Answer: 36.9
Step-by-step explanation:
For this question you have to find out whether you are using Sin, Cos or Tan.
To work out which one you are using you can use SOH CAH TOA to help you.
SOH- The 'S' is for Sin, the 'O' and the 'H' is for Opposite over Hypotenuse.
CAH- The 'C' is for Cos and the 'A' and the 'H' is for Adjacent over Hypotenuse.
TOA- The 'T' is for Tan, the 'O' and the 'A is for Opposite over Adjacent.
As you have the Opposite (the side opposite the angle we're looking for) and the Adjacent (the side next to the angle were looking for) we would be using Tan.
So first you would have to write:
Tanθ=3/4
Then because we want Theta (θ) on it's own we would have to do the inverse to 'undo' the equation. Tan-1 is the inverse of Tan.
θ=Tan-1 3/4
To find the answer you would have to put it in your calculator.
θ=36.9
Hope this helps :)
