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Elodia [21]
3 years ago
7

Jim has made a dartboard using two concentric circles, one blue and one yellow. The distance from the center to the edge of the

blue circle is 8 inches, while from the center to the edge of the yellow circle it is 11 inches. Jim plans to play a game with his friend Randolph, in which the blue region is Jim's and the yellow region is Randolph's.
Is the game FAIR?
Mathematics
1 answer:
oksian1 [2.3K]3 years ago
8 0

Answer:

No; the blue region is larger.

Step-by-step explanation:

The area of the blue region is 64π = 200.96 square inches, while the area of the yellow region is 121π - 64π = 178.98 square inches.

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Evaluate the expression,<br> if x = 9, y = 3, and z = 5.<br> z²(x - y)
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The answer is 150.
(5)^2(9-3)
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3 0
1 year ago
4x + 12 = -7y<br> -y + 12 = 4x<br> Solve with elimination
statuscvo [17]
Take the second equation and flip it around so the y on the left ends up on the right and the 4x on the right ends up on the left.  This makes all negatives positive and all positives negative.   -4x   + 12  = y 

Then add the first equation to the second equation 
4x   +12   = -7y
<u>-4x   + 12  </u>=<u> y </u>   this eliminates the x's
          <u>24</u> = -<u> 6y</u>            then divide by - 6
           - 6     - 6
         - 4    = y<u>

</u>So if you know that y = negative 4, you can substitute into either equation.  I pick the second one because I am a lazy person.  
  -y  + 12  = 4 x
-(-4) + 12 = 4 x     combine your numbers<u>
</u>   <u>  16     </u> = <u>4 x  </u>      then divide by 4<u>
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So your solution is: x = 4 and y = -4 or this is also written (4, -4)

Does that work for you?
4 0
3 years ago
Read 2 more answers
A convertible is traveling at 45 miles per hour, and its wheels have a diameter of 48 inches. How many complete revolutions do t
neonofarm [45]
To answer this question you will need to know how many inches the car travels Per minute.

1. To find this out you will first divide 45 miles by 60 to get the number of miles per minute.

The convertible travels 0.75 mi./min.

2. Next you will convert this number of miles to inches.

There are 63,360 inches per mile.

0.75 x 63360 = 47520 inches per minute.

3. You then need to find the distance the wheel travels in one rotation. You will need to find the circumference of the wheel.

C = pi x d
3.14 x 48
C = 150.72 inches
Each rotation is about 150.72 inches.

4. Finally, divide the total distance traveled in a minute by the circumference(distance of one rotation) to get the total number of rotations in a minute.

47520/150.72 is about 315.3 rotations per minute.



7 0
3 years ago
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Answer:

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Step-by-step explanation:

7 0
2 years ago
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