Answer:
The number of miles the train travels in an hour.
Step-by-step explanation:
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Answer:
y = 0.2
Step-by-step explanation:
Simplifying
-6y + 5 = 29y + -2
Reorder the terms:
5 + -6y = 29y + -2
Reorder the terms:
5 + -6y = -2 + 29y
Solving
5 + -6y = -2 + 29y
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '-29y' to each side of the equation.
5 + -6y + -29y = -2 + 29y + -29y
Combine like terms: -6y + -29y = -35y
5 + -35y = -2 + 29y + -29y
Combine like terms: 29y + -29y = 0
5 + -35y = -2 + 0
5 + -35y = -2
Add '-5' to each side of the equation.
5 + -5 + -35y = -2 + -5
Combine like terms: 5 + -5 = 0
0 + -35y = -2 + -5
-35y = -2 + -5
Combine like terms: -2 + -5 = -7
-35y = -7
Divide each side by '-35'.
y = 0.2
Simplifying
y = 0.2
F = 18 ft.
The law of cosines states
c² = a² + b² - 2ab cos C
Using our information, we have
c² = 23² + 16² - 2(23)(16)cos 52
c² = 529 + 256 - 736cos 52
c² = 785 - 736cos 52
c² = 331.8732
Taking the square root of both sides, we have
c = √331.8732 = 18.22 ≈ 18