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grandymaker [24]
3 years ago
11

What's a variable for 20,000

Mathematics
1 answer:
Nataliya [291]3 years ago
7 0
A variable can be any letter that you choose.
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What is the circumference of a circle with an area of 25??
Semmy [17]
Answer:  The circumference is:  " 8.87 square units " .
_________________________________________________
Explanation:
_____________________________________
Note the following:
________________________________
Area of a circle:  A = π r² = 25 units² ; 
 
Circumference of a circle:  C = π*d = 2πr
____________________________________
  If we can solve for "r" ("radius", we can solve for the "Circumference, "C") ;
__________________________________
   A = π r² = 25 ;

    C = 2 * π *r
 
   So:  " π * r * r = 25"  ;
________________________
 We know that:  " π * r * r = 25" ; 

Multiply EACH side of the equation by "2" ; 
__________________________________
      2*{ π * r * r = 25} ;
__________________________________
To get:  2 * π * r * r = 25 ; 

Note:  "C = 2* π * r ; 

So,  "(2 * π * r) * r = 25 " ; 

We want to solve for "C" ; so replace the "(2 * π * r) " ; with "C" ;
 
          C * r = 25 ; 
______________________________
Divide EACH SIDE of the equation by "r" ; to isolate "C" on one side of the equation:
________________________________
   (C * r) / r  =  25 / r   ;

to get:    C  =  25 / r ;  
____________________________________
Now, we need to find the value for "r" (the radius);
          to find "C" (the circumference).

We know that:  
____________________________________ 
   π * r² = 25 ;
____________________________________
Divide each side of the equation by "π"; to isolate "r² " on one side of the equation;
____________________________________
   (π * r²) / π  =  25 / π ;

To get:  
___________________________________________________
   r²  =  25/π  ;  Let us use "3.14" as an approximation for "π" ;
___________________________________________________
   r²  =  25 / (3.14) ; 
  
   r²  =  7.9617834394904459 ; 

Take the "positive" square root of EACH side of the equation; 
   (since the radius, "r", cannot be a negative value);
_____________________________________________

   +√(r²) = +√(7.9617834394904459) ; 
_____________________________________________
to get:
_____________________________________________
      r  =  2.8216632399155016635 ;  
              →  Round to:  " 2.82 " ; 
_____________________________________________
     C = 25 / r  ;
 
     C = 25 / (2.82) = 8.8652482269503546  square units .
                              →  Round to:  "8.87"  square units.
_____________________________________________
The answer is:  "8.87 square units" .
_____________________________________________
4 0
3 years ago
Simplify fully4xy/12x2y​
sergejj [24]

Answer:

1/3x

Step-by-step explanation:

for 4xy/12x^2y we need to simply one of the x's and the y's and divide both parts by 4

so we get:

1/3x

6 0
3 years ago
A soccer ball manufacturer wants to estimate the mean circumference of soccer balls within 0.1 inch.
Aleonysh [2.5K]

Answer:

Step-by-step explanation:

Given that a soccer ball manufacturer wants to estimate the mean circumference of soccer balls within 0.1 inch.

a) sigma = 0.25

Since population std dev is known we can use Z critical value i.e. 2.58

2.58(\sigma/\sqrt{n} )25.8*\sigma\\i.e. n>665.64 \sigma^2

Hence when sigma =0.25

we get n should be atleast = 41.6025 or 42

b) when sigma = 0.3 we get

n >59.390=60

c) Big std deviation requires larger sample size.

4 0
3 years ago
Can some one help me this please
Aloiza [94]
Step by step explanation:


5X4=20
£20 for 5 hours
£20+£12=£32

Hope this helped!
4 0
3 years ago
What’s the correct answer for this question?
Damm [24]

Answer:

tan C = 3/4

Step-by-step explanation:

sin C = opposite over hypotenuse

sin C = 3/5

BC = 5

AB = 3

We can use the Pythagorean theorem

a^2 + b^2 = c^2

3^2 + b^2 = 5^2

9 + b^2= 25

Subtract 9 from each side

9-9+b^2=25-9

b^2= 16

Take the square root of each side

sqrt(b^2)= sqrt(16)

b = 4

AC = 4

Tan C = opp side/ adj side

tan C = AB/ AC = 3/4

5 0
3 years ago
Read 2 more answers
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