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Phantasy [73]
3 years ago
9

What is the exact circumference of a circle with a radius of 15 cm?

Mathematics
2 answers:
Alex777 [14]3 years ago
7 0

Answer:

C:30π cm  

Step-by-step explanation:

The formula for the circumference of a circle is

C = 2πr

Since the radius is 15 cm, this makes 2r = 2(15) = 30 cm.  This makes the circumference

C = 30π cm

Mila [183]3 years ago
3 0

Answer: C: 30π cm

Step-by-step explanation:

The circumference of a circle is given by :-

C= 2\pi r , where r is the radius of the circle.

We are given that : The radius of the circle = 15 cm

then , the circumference of the circle will be :-

C= 2\pi (15)\ cm\\\\\Rightarrow\ C=2\times15\pi\ cm\\\\\Rightarrow\ C=30\pi \cm

Therefore, the exact circumference of a circle with a radius of 15 cm = 30\pi \cm

Thus , the correct option is C: 30π cm

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How do you solve 3x-2y=-5 ; 3y-4x=8 for x and y. Explain please.
blagie [28]
3x-2y=-5
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1) multiply the first equation by 3
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2) multiply the second equation by 2
   2(3y-4x=8)    this should give you the equation: 6y-8x=16

3) combine both equations/ like terms
    9x-6y=-15
    6y-8x=16

4) -6y and 6y cancel out 
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5)  9x and -8x combine to make 1x or just x and -15 combined with 16 gives you just 1

6) we are now left with:
    x=1 

7) plug in the x to any of the two original equations ( i chose the first) 
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   3 - 2y = -5
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   When you plug in the x=1 you are given 3(1) - 2y = -5
   Distribute the 3 and you should have 3 - 2y = -5
   Subtract 3 from 3 (this cancels out) then from -5
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   Divide by -2 ( -2 divided by -2 cancels out) 
   -8 divided by -2 gives you 4 (two negatives make a positive)
   
So, y=4 and x=1
 To check, plug in x=1 and y=4 into one equation. when you're done with that you can plug them into the other. when you plug them into the first equation you get -5=-5 which means they worked. when plugged into the second, the result is 8=8 which means x=1 and y=4 worked for both equations. 

   

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