Start by laying out the 12.
The neighbors of 12 must be 11 and 10.
The neighbor of 11 must be 9, and the neighbor of 10 must be 8, and so on and so forth, until you get a unique arrangement.
Answer:
If this is what I think it is then your answer is 4x + 8 = -20
Answer:
Number 11: She has to add 5/36 of a cup
Number 12: The present costs $22,2
Number 13: 56,7 pounds is the weight of the package.
Number 14: You started with 40 muffins
Step-by-step explanation:
<u>Number 11</u>: 1/4 = 9/36 and 1/9 = 4/36
3*1/4 - 3*1/9 = 3*9/36 - 3*4/36 = 5/36
<u>Number 12:</u> 13,32/x= 3/5 ( or 0,6)
x = 13,32/0,6 = 22,2
<u>Number 13:</u> x * 5/7 = 40,5
x = 40,5/ (5/7) or 40,5 * 7/5 = 283,5/5 = 56,7
<u>Number 14:</u> 12/x = 3/10 (or 0,30)
x= 12/0,30 = 40
Answer:
![b = \sqrt{\frac{C^{2} }{2(\pi )^{2} } - a^{2}}](https://tex.z-dn.net/?f=b%20%3D%20%5Csqrt%7B%5Cfrac%7BC%5E%7B2%7D%20%7D%7B2%28%5Cpi%20%29%5E%7B2%7D%20%7D%20%20-%20%20a%5E%7B2%7D%7D)
Step-by-step explanation:
Given - The circumference of the ellipse approximated by
where 2a and 2b are the lengths of 2 the axes of the ellipse.
To find - Which equation is the result of solving the formula of the circumference for b ?
Solution -
![C = 2\pi \sqrt{\frac{a^{2} + b^{2} }{2} }\\\frac{C}{2\pi } = \sqrt{\frac{a^{2} + b^{2} }{2} }](https://tex.z-dn.net/?f=C%20%3D%202%5Cpi%20%5Csqrt%7B%5Cfrac%7Ba%5E%7B2%7D%20%2B%20b%5E%7B2%7D%20%7D%7B2%7D%20%7D%5C%5C%5Cfrac%7BC%7D%7B2%5Cpi%20%7D%20%20%3D%20%20%5Csqrt%7B%5Cfrac%7Ba%5E%7B2%7D%20%2B%20b%5E%7B2%7D%20%7D%7B2%7D%20%7D)
Squaring Both sides, we get
![[\frac{C}{2\pi }]^{2} = [\sqrt{\frac{a^{2} + b^{2} }{2} }]^{2} \\\frac{C^{2} }{(2\pi)^{2} } = {\frac{a^{2} + b^{2} }{2} }\\2\frac{C^{2} }{4(\pi)^{2} } = {{a^{2} + b^{2} }](https://tex.z-dn.net/?f=%5B%5Cfrac%7BC%7D%7B2%5Cpi%20%7D%5D%5E%7B2%7D%20%20%20%3D%20%20%5B%5Csqrt%7B%5Cfrac%7Ba%5E%7B2%7D%20%2B%20b%5E%7B2%7D%20%7D%7B2%7D%20%7D%5D%5E%7B2%7D%20%5C%5C%5Cfrac%7BC%5E%7B2%7D%20%7D%7B%282%5Cpi%29%5E%7B2%7D%20%20%7D%20%20%20%3D%20%20%7B%5Cfrac%7Ba%5E%7B2%7D%20%2B%20b%5E%7B2%7D%20%7D%7B2%7D%20%7D%5C%5C2%5Cfrac%7BC%5E%7B2%7D%20%7D%7B4%28%5Cpi%29%5E%7B2%7D%20%20%7D%20%20%20%3D%20%20%7B%7Ba%5E%7B2%7D%20%2B%20b%5E%7B2%7D%20%7D)
![\frac{C^{2} }{2(\pi )^{2} } = a^{2} + b^{2} \\\frac{C^{2} }{2(\pi )^{2} } - a^{2} = b^{2} \\\sqrt{\frac{C^{2} }{2(\pi )^{2} } - a^{2}} = b](https://tex.z-dn.net/?f=%5Cfrac%7BC%5E%7B2%7D%20%7D%7B2%28%5Cpi%20%29%5E%7B2%7D%20%7D%20%20%3D%20a%5E%7B2%7D%20%2B%20b%5E%7B2%7D%20%5C%5C%5Cfrac%7BC%5E%7B2%7D%20%7D%7B2%28%5Cpi%20%29%5E%7B2%7D%20%7D%20%20-%20%20a%5E%7B2%7D%20%3D%20b%5E%7B2%7D%20%5C%5C%5Csqrt%7B%5Cfrac%7BC%5E%7B2%7D%20%7D%7B2%28%5Cpi%20%29%5E%7B2%7D%20%7D%20%20-%20%20a%5E%7B2%7D%7D%20%20%3D%20b)
∴ we get
![b = \sqrt{\frac{C^{2} }{2(\pi )^{2} } - a^{2}}](https://tex.z-dn.net/?f=b%20%3D%20%5Csqrt%7B%5Cfrac%7BC%5E%7B2%7D%20%7D%7B2%28%5Cpi%20%29%5E%7B2%7D%20%7D%20%20-%20%20a%5E%7B2%7D%7D)
Answer:
30 1/10
Step by step explanation:
71/2-5 2/5= 30 1/10
30 1/10 divided by a (also know as 1) = 30 1/10