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mr_godi [17]
2 years ago
12

Please see attached picture.

Mathematics
1 answer:
Sati [7]2 years ago
3 0

Answer:

B

Step-by-step explanation:

the arc length is calculated as

arc = circumference of circle × fraction of circle

     = 2πr × \frac{90}{360}

     = 2π × 16 × \frac{1}{4}

     = 32π × \frac{1}{4}

     = \frac{32\pi }{4}

     = 8π ft

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George bought a bag of dog food that was 1/3 pounds. He fed his dog 5 times with this bag of food. How many pounds of food did h
miv72 [106K]

Answer:

\dfrac{5}{3}\ \text{pounds}

Step-by-step explanation:

George bought a bag of dog food that was 1/3 pounds.

George fed his dog 5 times with this bag of food.

We need to find how many pounds of food did the dog eat at each feeding. Let it be x.

x=\dfrac{1}{3}\times 5\\\\x=\dfrac{5}{3}\ \text{pounds}

So, the dog eat \dfrac{5}{3}\ \text{pounds} of food at each feeding.

3 0
3 years ago
what is the equation of the line that passes through (6,2) and is perpendicular to the a line with slope -1/3
salantis [7]

Answer:

y =  -  \frac{1}{3} x + 4

Step-by-step explanation:

point slope formula for equation of line

y - y1 = m(x - x1)

point is (6,2) slope is -1/3

y - 2 =  -  \frac{1}{3} (x - 6) \\ y - 2 =  -  \frac{1}{3} x + 2 \\ y =  -  \frac{1}{3} x + 4

3 0
2 years ago
Which of the following equations has the solution set {0}?
nexus9112 [7]
The correct answer is:  
_________________________________________________________
          [A]:  " -14m − 7m + 1  =  -7m + 1 " .
_________________________________________________________
Note:  All of the answer choices given contain "ONE" variable, "m". 
__________________________________________________________
            Among the all the answer choices given (that is, among all the 3 (THREE) answer choices given),  this answer choice: "{A}", is the only one which holds true; (that is, maintains a true equation— both sides of the equation are equal—, when "m = 0 ").
__________________________________________________________
Specifically, for "Answer choice: [A]:
____________________________________________
    -14m − 7m + 1 =  -7m + 1 ; 
____________________________________________
When we plug in "0" for all values of "m", both sides of the equation are equal:
____________________________________________
   -14*(0)  −  7*(0) + 1  =?   -7*(0)  +  1  ?? ;
__________________________________________________
        0  − 0  + 1 = ?   0 + 1 ?
__________________________________________________
                    1 = 1 ?  Yes!
___________________________________________________
Let's try Answer choice: [B] ; which is:
___________________________________________________
     "-14m + 7m + 1  =  -7m + 2 " ;
________________________________________________________
 If we plug in "0" for ALL values of "m" (both sides, of course), does the equation hold true?
_______________________________________________________
     -14*(0) + 7*(0) + 1  = ?   -7*(0)  + 2  ?? ;
_______________________________________________________
              0 + 0 + 1 = ?   0 + 2 ?? ; 
_______________________________________________________
                         1 = ?   2 ???   No!    1 <span>≠ 2 ; 
_______________________________________________________
           As such, "Answer choice: [B}" does NOT have the solution set:  "{0}" ; and is not the correct answer; (and is not a correct answer).
________________________________________________________
Now, let's try the remaining  "Answer choice:  [C]:"
________________________________________________________
    14m −  7m − 1  =  -7m + 1 ; 
_______________________________________________________
</span> If we plug in "0" for ALL values of "m" (both sides, of course), does the equation hold true? 
________________________________________________________
    14*(0)  −  7*(0)  −  1  =  -7*(0)  +  1 ;
________________________________________________________
     0  − 0  − 1  =?   0 + 1 ?? ;
________________________________________________________
              - 1  = ?  1 ???  No!    -1  ≠  1 !   ; 
________________________________________________________
         As such, "Answer choice: [C]" does NOT have the solution set:  "{0}" ;
 and is not the correct answer; (and is not a correct answer).
_________________________________________________________
The answer is:   [A]:   " -14m − 7m + 1  =  -7m + 1 " .
_________________________________________________________
7 0
4 years ago
Round 5,836,197 to the nearest hundred
Nataly [62]

Answer:

5836200

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Pls help w 12, 13, and 14
hammer [34]

<em>11.)</em>8*h=96

<em>12.) </em>3*y=27; y = 9

<em>13.) </em>s ÷ 4 = 6

<em>14.) </em>27  ÷ 3 = c ; c = 9

<em>15.) </em>s ÷ 35 = 6 ; s = 210

<em>16.) </em>w ÷ 4 = 16; w = 64

8 0
3 years ago
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