Answer:
Correct answer is 54.82 ft.
Step-by-step explanation:
First of all, let us label the diagram and do the construction as per the attached answer image.
Let us consider 
:
Let side AB = d ft and let side BC = x ft
We need to find AB to find the shortest distance across the river.
Using trigonometric identity of tangent:
Now, let us have a look at another right angled triangle ABD:
Let us consider :
side AB = d ft and side BD = x+75 ft
Using trigonometric identity of tangent:
Correct answer is 54.82 ft.
The answer is a because it is open circle
Answer:
The nth term of the sequence is
<h2>9n - 8</h2>
Step-by-step explanation:
The sequence above is an arithmetic sequence
For an nth term in an arithmetic sequence
A(n) = a + ( n - 1)d
where a is the first term
n is the number of terms
d is the common difference
From the question
a = 1
d = 10 - 1 = 9 or 19 - 10 = 9 or 28 - 19 = 9
So the nth term of the sequence is
A(n) = 1 + (n - 1)9
= 1 + 9n - 9
= 9n - 8
<h3>A(n) = 9n - 8</h3>
Hope this helps you
First see you can factor out 4. What is left is x^2 + 6x - 16.
That can be factored as (x+8)(x-2) so the total factorization is
4(x+8)(x-2)
The length of the segment HI in the figure is 32.9
<h3>How to determine the length HI?</h3>
To do this, we make use of the following secant-tangent equation:
HI² = KI * JI
From the figure, we have:
KI = 21 + 24 = 45
JI = 24
So, we have:
HI² = 45 * 24
Evaluate the product
HI² = 1080
Take the square root of both sides
HI = 32.9
Hence, the length of the segment HI is 32.9
Read more about secant and tangent lines at:
brainly.com/question/14962681
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