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Vlad [161]
3 years ago
13

An auditorium has 1,120 seats in 35 equal rows how many seats are in each row

Mathematics
1 answer:
elena55 [62]3 years ago
5 0

32 seats per row.

If you divide 1,120 by 35 you get the answer. Its basically saying, how many groups of how many seats make up the total number of seats.

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Pls help... Prove (1+tanx)/(1+cotx)=tanx by algebra
katen-ka-za [31]

\text{L.H.S}\\\\=\dfrac{1+\tan x}{ 1+ \cot x}\\\\\\=\dfrac{1+ \tan x}{ 1+ \tfrac 1{\tan x}}\\\\\\=\dfrac{1+\tan x}{\tfrac{\tan x+1}{\tan x}}\\\\\\=(1+\tan x) \times \dfrac{\tan x}{1+ \tan x}\\\\=\tan x\\\\=\text{R.H.S}\\\\\text{Proved.}

6 0
2 years ago
Test the four possible vertices that you found in the objective function in part A. Use those values to determine which set of v
irga5000 [103]

The testing of the four vertices of the objective function gives;

C(5, 0, 55) = 430

C(5, 30, 25) = 400

C(15, 30, 15) = 420

C(45, 0, 15) = 510 (maximum)

<h3>How to test objective functions?</h3>

The objective function is seen as attached.

Now, it is noticed that just two of the vertices are listed. The other two vertices are intersections of x + y + z = 60 with x = 5 and the constraints on y.

We will assume that; 0 ≤ y ≤ 30

Thus, the missing vertices are;

(x, y, z) = (5, 0, 55)  and  (5, 30, 25)

The two given vertices are;

(x, y, z) = (15, 30, 15)  and  (45, 0, 15)

Therefore, the objective function values are;

C(5, 0, 55) = 9·5 +6·0 +7·55 = 45 +0 +385 = 430

C(5, 30, 25) = 9·5 +6·30 +7·25 = 45 +180 +175 = 400

C(15, 30, 15) = 9·15 +6·30 +7·15 = 135 +180 +105 = 420

C(45, 0, 15) = 9·45 +6·0 +7·15 = 405 +0 +105 = 510

Read more about Objective Functions at; brainly.com/question/16826001

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Step-by-step explanation:

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4 years ago
See the image attached for all information needed.
avanturin [10]

Answer:

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Step-by-step explanation:

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In this case, Base = 3.3 mi and Height = 3.8 mi

Hence,

Area = 3.3 x 3.8 = 12.54 square miles

6 0
3 years ago
Read 2 more answers
Write an equation to represent m varies inversely as the square of q ?​
kolezko [41]

Answer:

m = \frac{k}{q^2}

Step-by-step explanation:

Given m varies inversely as q² then the equation relating them is

m = \frac{k}{q^2} ← k is the constant of variation

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