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The value of x is 9.
We have : - 25 = 7 - (5x - 13)
We have to find the value of x.
<h3>If f(x) = g(x), than what do you understand by true solution of this equation?</h3>The true Solution of the equation is the value of x for which LHS = RHS.
For example - if ax + b = cx + d , then
ax - cx = d - b
x = is the true solution of the equation.
In the question given -
- 25 = 7 - (5x - 13)
- 25 = 7 - 5x + 13
5x = 45
x = 9
Hence, the value of x for which LHS = RHS is 9.
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The boat's travel from when it was first noticed until it stopped is 554.89 ft.
<h3>What is trigonometry?</h3>
Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.
We have:
A person is watching a boat from the top of a lighthouse. The boat is approaching the lighthouse directly.
From the given information we can draw a right-angle triangle.
14°52' = 14 + 0.86 = 14.86 degree
45°10' = 45 + 0.16 = 45.16 degree
In the right-angle triangle ACD
tan14.86 = 200/AC
AC = 753.772 ft
In the right-angle triangle DBC:
tan45.16 = 200/CB
CB = 198.886 ft
AB = AC - CB
AB = 753.772 ft - 198.886 ft
AB = 554.886 ≈ 554.89 ft
Thus, the boat's travel from when it was first noticed until it stopped is 554.89 ft.
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