The horizontal distance between light house and boat is 1588.78 feet approximately.
The figure is given by,
Here, AB = height of the lighthouse bacon light above the water = 139 feet
Now angle ACB = 5 degree
Let the horizontal distance of light house from the boat = BC = x feet
So by trigonometric function we get,
tan 5 = AB/BC
tan 5 = 139/x
x = 139/tan 5 = 1588.78 (approximately)
Hence the horizontal distance between light house and boat is 1588.78 feet approximately.
To know more about Trigonometric Function refer to:
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The solutions for the quadratic equation are given as follows:
x = -1, x = 7/5
<h3>What is a quadratic function?</h3>
A quadratic function is given according to the following rule:
y = ax^2 + bx + c
The solutions are:
In which:
For this problem, the equation is:
5x² - 2x - 7 = 0.
Hence the coefficients are a = 5, b = -2 and c = -7, and then the solutions are found as follows:
The solutions are:
x = -1, x = 7/5
More can be learned about quadratic equations at brainly.com/question/24737967
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Answer:
Step-by-step explanation:
Given two fractional terms 
. Their common factor is a value or function that can go in both fractional terms. The terms can be written as shown.
It can be seen from the both equations that they both have as one of their factors i.e <em>1/8x is common to both fractional terms</em>. This gives the common factor for the two fractional terms as
60 minutes for 2 times of 4.5 miles
60 minutes for 9 miles.
9 miles/60 minutes = 9 miles/1 hour
9 mph
