Barry will use the distance formula:
d = √[(x₂ - x₁)² + (y₂ - y₁)²]
d = √[(4 - 3)² + (7 - 1)²]
d = 6.08 units
You didn't provide more information regarding triangle but from given options, it seems that triangle has ratio from shortest side to longest side would be 5 : 12 : 13
So 13 would be hypotenuse since it is longest.
Now A cannot be right angle because tangent is not defined at 90°.
Also tan(A) would be ratio of opponent side to adjacent side (think SOH CAH TOA)
So either opposite side would be 5 or 12, and adjacent side would be 12 or 5 respectively.
So the answer is either 5 / 12 or 12 / 5 but only option provided is 12/5 so that would be your answer.
Final answer: 12 / 5
To solve this, you can first solve each expression:
35 / 6 = 5.83333
5 + 3/10 = 5.3
5 = 5
35 / 10 = 3.5
15 / 5 = 5
5 + 5/6 = 5.8333333
3 = 3
10 * 1/2 = 5
So, the tiles of 5, 15*1/5, and 10*1/2 all equal 5.
The tiles of 35/6 and 5+5/6 equal 5.83333.
The remaining tiles to not have matches.
