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castortr0y [4]
3 years ago
11

a restaursnt has rectangular tables that can seat 8 people each when there are more than 8 people in a group the tables are move

d together. what is the greatest number of people who can sit at 3 tables lined up in a row?
Mathematics
1 answer:
Andre45 [30]3 years ago
5 0

Each table is 3 seats long and 1 seat wide. If you push 3 tables together, end to end, they become 9 seats long, and remains 1 seat wide. If you add up the perimeter, it comes out to 9+9+3+3, which is 24.


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B2-4b+4=0 using quadratic forumla
Ivan

Trying to factor by splitting the middle term   

Factoring <span> b2-4b+4</span> 
The first term is, <span> <span>b2</span> </span> its coefficient is <span> 1 </span>.
The middle term is, <span> -4b </span> its coefficient is <span> -4 </span>.
The last term, "the constant", is <span> +4 </span>

Step-1 : Multiply the coefficient of the first term by the constant <span>  1 • 4 = 4</span> 

Step-2 : Find two factors of  4  whose sum equals the coefficient of the middle term, which is  <span> -4 </span>.
<span><span>     </span></span>

<span><span>-4   +   -1   =   -5</span><span>     -2   +   -2   =   -4   That's it</span></span>


Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -2  and  -2 
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Step-4 : Add up the first 2 terms, pulling out like factors :
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Step-5 : Add up the four terms of step 4 :
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8 0
3 years ago
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qwelly [4]
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6 0
3 years ago
Solve the equation for 0° ≤ x ≤ 90°. Round to the nearest degree. tan^2 B = 4
Anettt [7]

<u>ANSWER</u>

B=63\degree


<u>EXPLANATION</u>

We want to solve the trigonometric equation;


tan^2(B)=4, where 0\degree \le B \le 90\degree.


Taking square root of both sides gives,


tan(B)=\pm \sqrt{4}


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Since B is in the first quadrant, we proceed with;


tan(B)=2, because the tangent ratio is positive in the first quadrant.


\Rightarrow B =arctan(2)


\Rightarrow B =63.43\degree.


Correct to the nearest degree,


B =63\degree




7 0
3 years ago
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