In ΔFGH, the measure of ∠H=90°, GF = 41, HG = 40, and FH = 9. What ratio represents the cosine of ∠F?
2 answers:
Answer:
Cosine F = (40 / 41)
Step-by-step explanation:
Since it's a right angle triangle, we can use
SOHCAHTOA method.
Where CAH = cosine F = adjacent / hypotenus.
Opposite (FH) = 9
Adjacent (HG) = 40
Hypothenus(FG) = 41
Cosine F = adjacent / hypothenus
Cosine F = 40 / 41
Cosine F = 0.9756
F = cos⁻(0.9756)
F = 12.68°
See attached document for better illustration on the triangle.
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Answer:
The linear equation is y = 6 x + 9
The graph is attached down
Step-by-step explanation:
The given information:
The cost of 1st km is 9 Rs
The cost of every kilometer after the first is 6 Rs
x represents the number of km
y represents the total cost of x km
The form of the linear equation is
y = m x + b, where
- m is the slope of the line (rate of change)
- b is the y-intercept (initial value)
From the given information above
m = 6 Rs/km
b = 9 Rs
Substitute them in the form of the equation
y = 6 x + 9
The graph:
