Andy found these three ordered pairs for the equation y = 65x +250: (0, 250), (5,575), and (10,900). He graphed the ordered pair
s, and connected them with a line. State the range of this graph.
2 answers:
Answer: The range of this graph is [250,500]
Step-by-step explanation:
Since we have given that
Andy found the equation:
And he plot the three coordinates :
(0,250) , (5,575), and (10,900).
And he connected them with a line.
So, the range of this graph will be
[250, 500]
As the graph runs from 250 and ends at 500.
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If we say that side "a" is the shortest (adjacent), side "b" is the second shortest (opposite), and side "c" is the longest (hypotenuse): then angle A would be 30°, angle B would be 60°, and angle C would be 90°
tan B = b/a
or
a tan B = b
they have 4 as the smallest value in all four options, so we know that a=4
4 tan 60° = b
tan 60° = √3
so, 4 tan 60° = 4√3
b=4√3
that leaves two options left, so now we find "c":
c^2 = (a^2) + (b^2)
OR
so a=4, b=4√3, and c=8
Making your answer B
tan B = b/a
or
a tan B = b
they have 4 as the smallest value in all four options, so we know that a=4
4 tan 60° = b
tan 60° = √3
so, 4 tan 60° = 4√3
b=4√3
that leaves two options left, so now we find "c":
c^2 = (a^2) + (b^2)
OR
so a=4, b=4√3, and c=8
Making your answer B