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anyanavicka [17]
3 years ago
8

Before a renovation, a movie theater had 113 seats. After the renovation, the theater has 163 seats. What is the approximate per

centage increase of the number of seats in the theater?
A 30.6%
B 49.7%
C 44.2%
D 31%
Mathematics
1 answer:
seraphim [82]3 years ago
6 0
To solve this problem you can make a rule of three and find the percentage of increase 
 113 ---> 100
 163 ---> x
 Clearing x we have
 x = (163/113) * (100) = 144.25
 Then, the percentage of growth is
 144.25-100 = 44.25
 answer
  the approximate percentage increase of the number of seats in the theater 44.25%
<span> C 44.2%
</span>
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Answer:

1. \frac{\sqrt{13} }{3}

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Step-by-step explanation:

1.

Cot is the trigonometric ratio defined by "adjacent" over "opposite". <em>So, adjacent = 2 and opposite = 3.</em>

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Csc is defined as the trig ratio "hypotenuse" over "opposite". <em>We know the sides, so Csc \theta = \frac{\sqrt{13} }{3}</em>

<em />

<em>First answer choice is right.</em>

<em />

2.

By definition, Csc \theta is the inverse of Sine \theta. <em>If given the value of sin theta, to find value of csc theta, we take the reciprocal of it. Hence:</em>

Csc\theta=\frac{1}{0.3090}\\=3.2362

Third answer choice is right.

3.

By definition tan and cot are inverse of each other. <em>So the value of tan is the reciprocal of the value of cot.</em> We can simply "flip" the value of tan theta to get the value of cot theta. Hence:

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Third answer is right.

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Read 2 more answers
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