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Margarita [4]
4 years ago
5

What is the area of a Reuleaux triangle that has a diameter of 18.6 m? Round your answer to the nearest tenth.

Mathematics
1 answer:
pav-90 [236]4 years ago
4 0

The Reuleaux triangle is shown in the attached figure

we know that

the area of a Reuleaux triangle is equal to

A=\frac{1}{2} *(\pi -\sqrt{3} )*r^{2}

where

r=18.6/2--------> r=9.3 m

so

A=\frac{1}{2} *(\pi -\sqrt{3} )*9.3^{2}

A=60.96

therefore

the answer is

61 m²

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Write an expression that means the sum of six and the product of three and d
Mrac [35]

Answer:

6 + (3xd)

Step-by-step explanation:

4 0
3 years ago
The number of horses occupying stalls at the county fairgrounds can be modeled by the following function, where x represents the
Elenna [48]
Answer:  
_______________________________________________________
The rewritten equation is: 
 

       " - 3x² + 30 + 225 = 0 " ; 

which is ultimately simplified to:

        " x² − 10 − 75  = 0 " .
___________________________________________________
The number of days is:  "15 days" . 
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Explanation:
______________________________________________
Given:

    h(x) = - 3x</span>² <span>+ 30 + 225  ;  

Rewrite as:  "  </span>- 3x² + 30 + 225 = 0 " ; 
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Multiply EACH SIDE of the equation by "-1" ; to get rid of the "-3" ; 

  -1 * {- 3x² + 30 + 225 = 0} ; 

to get:  " 3x² − 30 <span>− 225 = 0" ; 

Divide EACH SIDE of the equation by "3" ; to simplify; since:

"3", "30", and "225" are divisible by "3" ; 

{</span>3x² − 30 − 225} / 3 = 0 / 3 ; 

 to get: 
______________________________________
 " x² − 10 − 75  = 0 " ; 
 
______________________________________
 Let us factor:

-15 + 5 = -10 ; 

-15 * 5 = -75 ; 
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Rewrite as:

(x − 15) (x + 5) =  0 ;

x = 15;  and x = -5 ; 
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The number of days cannot be "negative value";  so we stick with:

"x = 15 days" 
___________________________________________________
Answer:  The rewritten equation is:  

       " - 3x² + 30 + 225 = 0 " ; 

which is ultimately simplified to:

        " x² − 10 − 75  = 0 " .
___________________________________________________
The number of days is:  "15 days" . 
___________________________________________________
6 0
4 years ago
PLZZZZZ HELP ON TIME LIMIT Which right triangular prism has the greatest volume?
inna [77]

Answer:

I am pretty positive its the second one i agree what the other guy answered

8 0
3 years ago
An equation is shown below:
rodikova [14]

Answer:

it is d, step 1: 14x - 21; step 2: 14x=22

Step-by-step explanation:

7(2x-3)=1   1. multiply 7 with (2x) and (-3)

14x-21=1    2. +21 on both sides

14x= 22      3. /14 on both sides

x=1.8

but I will say d is the correct answer

5 0
2 years ago
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