Circumference of a circle = 2πr
Circumference of the whole circle= 2π(30) = 60π
360 - 90 = 270
Length XPY = 270/360 x 60π = 45π
Answer: 45π m
Hello,
nice as problem.
![| If\ a\ number\ x=a_1^{p_1}*a_2^{p_2}*a_3^{p_3}*....*a_n^{p_n}\\ the\ number\ of\ his\ dividers is:\\{p_1+1}*{p_2+1}*{p_3+1}*....*{p_n+1}](https://tex.z-dn.net/?f=%7C%20If%5C%20a%5C%20number%5C%20x%3Da_1%5E%7Bp_1%7D%2Aa_2%5E%7Bp_2%7D%2Aa_3%5E%7Bp_3%7D%2A....%2Aa_n%5E%7Bp_n%7D%5C%5C%20the%5C%20number%5C%20of%5C%20his%5C%20dividers%20is%3A%5C%5C%7Bp_1%2B1%7D%2A%7Bp_2%2B1%7D%2A%7Bp_3%2B1%7D%2A....%2A%7Bp_n%2B1%7D%20)
Here x has a power of 5 as divider and a power of 2 as divider (in order to make a power of 10.
![5=5^1*2^0](https://tex.z-dn.net/?f=5%3D5%5E1%2A2%5E0)
![50=5^1*(5^1*2^1)=5^2*2^1](https://tex.z-dn.net/?f=50%3D5%5E1%2A%285%5E1%2A2%5E1%29%3D5%5E2%2A2%5E1)
![500=5^1*(5^2*2^2)=5^3*2^2](https://tex.z-dn.net/?f=500%3D5%5E1%2A%285%5E2%2A2%5E2%29%3D5%5E3%2A2%5E2)
Numbers of dividers: (8+1)*(7+1)=9*8=72
Use photo math or Socratic
20x-1000 +4000 = 60x
20x-60x= -4000 +1000
-40x= -3000
x= -3000/-40
75 The mix will be 75 lbs
And $20 coffee will be 75 -50 = 25lbs
X = -1/4
Move the 1 to the other side then divide by 4 on both sides