Using an arithmetic sequence, it is found that the opera house will have 6150 chairs.
<h3>What is an arithmetic sequence?</h3>
In an arithmetic sequence, the difference between consecutive terms is always the same, called common difference d.
The nth term of an arithmetic sequence is given by:
In which 
is the first term.
The sum of the first n terms is given by:
In this problem, the sequence is:
Hence the first term and the common ratio are given, respectively, by:
Then the 50th term is:
The number of chairs is the <u>sum of the first 50 terms</u>, hence:
More can be learned about arithmetic sequences at brainly.com/question/6561461
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B the smallest piece of cloth that she can make two squares from is one
that is two squares wide. So if twice the width of the square is the
width of the cloth.The right side of the equation could be clearly
written as 2(x^2) to keep it from being confused with (2x)^2.
btw LOVe your profile pic
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There are four solutions for the <em>trigonometric</em> equation 2 · cos x = 4 · cos x · sin² x are x₁ = π/4 ± 2π · i, x₂ = 3π/4 ± 2π · i, x₃ = 5π/4 ± 2π · i and x₄ = 7π/4 ± 2π · i, 
.
<h3>How to solve a trigonometric equation</h3>
In this problem we must simplify the <em>trigonometric</em> equation by both <em>algebraic</em> and <em>trigonometric</em> means and clear the variable x:
2 · cos x = 4 · cos x · sin² x
2 · sin² x = 1
sin² x = 1/2
sin x = ± √2 /2
There are several solutions:
x₁ = π/4 ± 2π · i,
x₂ = 3π/4 ± 2π · i,
x₃ = 5π/4 ± 2π · i,
x₄ = 7π/4 ± 2π · i,
There are four solutions for the <em>trigonometric</em> equation 2 · cos x = 4 · cos x · sin² x are x₁ = π/4 ± 2π · i, x₂ = 3π/4 ± 2π · i, x₃ = 5π/4 ± 2π · i and x₄ = 7π/4 ± 2π · i, .
To learn more on trigonometric equations: brainly.com/question/27821667
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Answer:
36/23
Step-by-step explanation:
speed of typing = words typed/minutes
=36/23
Answer:
25
Step-by-step explanation:
Given
37 - (9 + 4) + 6 ÷ 6 ← evaluate parenthesis
= 37 - 13 + 6 ÷ 6 ← perform division
= 37 - 13 + 1 ← evaluate from left to right
= 24 + 1
= 25
