Which ordered pair comes from the table?

Mathematics

2 answers:

puteri [66]2 years ago

8 0

(2,1)

What this means is "find a 2 in the 'x' column and find a 1 in the 'y' column"
C is the only one where you can find them in the correct columns

If you do not fully understand the problem, let me know.

gtnhenbr [62]2 years ago

6 0

It would be C) (2,1) because the x axis is always the first number in a ordered pair

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Step-by-step explanation:

-Let x be the distance between John and clock tower.

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#Taking the right triangle ACD:

$\Tan \ theta=\frac{Perpendicular \ Height}{Base}\\\\Tan \ 60\textdegree=\frac{y+1.5}{x}\\\\y=x \ Tan \ 60\textdegree -1.5$

#Taking the right triangle ABD:

$\Tan \ theta=\frac{Perpendicular \ Height}{Base}\\\\Tan \ 40\textdegree=\frac{y+1.5}{x+20}\\\\y=(x+20)\ Tan \ 40\textdegree -1.5$

#We equate the two yo solve for x and y;

$(x+20)\ Tan \ 40\textdegree -1.5=x\ Tan \ 60\textdegree -1.5\\\\(x+20)\ Tan \ 40\textdegree=x\ Tan \ 60\textdegree\\\\0.8391x+16.7820=1.7321x\\\\x=18.7939$