Answer:
sure
Step-by-step explanation:
haha lol
Answer:
3
Step-by-step explanation:
bc it has three of each
<h3>
Answer: B. 2/3(x+6)</h3>
=========================================
Explanation:
If you distribute the expression in choice A, then you'd get
(1/3)(2x+6) = (1/3)*2x + (1/3)*6 = (2/3)x+2
which is not the original expression. So we can rule out choice A.
-----------
A similar story happens with choice C
(2/3)(x+12) = (2/3)x+(2/3)*12 = (2/3)x+8
and also with choice D
(2/3)(x+4) = (2/3)x+(2/3)*4 = (2/3)x + 8/3
allowing us to rule out choices C and D
-----------
Choice B works
(2/3)(x+6) = (2/3)x+(2/3)*6 = (2/3)x+4
If we let
x as the distance traveled by the boat
y as the distance between the boat and the lighthouse.
Then, we have:
tan 18°33' = 200 / (x + y)
and
tan 51°33' = 200 / y
Solving for y in the second equation:
y = 200 / tan 51°33'
Rearranging the first equation and substituting y
x = 200 / tan 18°33' - 200 / tan 55°33'
x = 458.81 ft
Therefore, the boat traveled 458.81 ft before it stopped.