A vowel will be picked when a letter is randomly selected from the word math. HELP
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ANSWER
The value of x is
EXPLANATION
We want to solve the equation,
The first step is to add 4 to both sides of the equation to obtain,
We simplify the right hand side to obtain,
We now square both sides of the equation to obtain,
This simplifies to
We solve for x to obtain,
This implies that,
The value of x is
EXPLANATION
We want to solve the equation,
The first step is to add 4 to both sides of the equation to obtain,
We simplify the right hand side to obtain,
We now square both sides of the equation to obtain,
This simplifies to
We solve for x to obtain,
This implies that,
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.
Learn more about trigonometry here:
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