Answer:
1. 280/11
2. 1700/11
3. 280/11
4. 3600
5. 360
Step-by-step explanation:
Let n = sides of a regular polygon
For these problems, n = 22 because there are 22 sides.
I am going to write the formulas needed for each question below.
- 360/n
- 180 - 360/n
- 360/n
- 180(n-2)
- 360 (isn't affected by n)
To solve, just plug in N with 22.
These formulas are very easy to prove and I recommend if you have time try to prove these.
we can tell a rectangle is also a square when both width and length are the same,
then,
![x+1=x+3](https://tex.z-dn.net/?f=x%2B1%3Dx%2B3)
solve for x
![\begin{gathered} x-x=3-1 \\ 0\ne2 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20x-x%3D3-1%20%5C%5C%200%5Cne2%20%5Cend%7Bgathered%7D)
there is not solution, then the rectangle shown is not a square
Lenght spaghetti chef a:
503 2/3ft= (503*3+2)/3=1511/3 =503,(6)
lenght spaghetti chef b:
503,66
Because 503,(6)>503,66
=> lenght spaghetti chef a > lenght spaghetti chef b
So, the winner must be chef a, but, if 503.66 rounds to 503.7, also 503(6) rounds to 503.7, and in this case
lenght spaghetti chef a= lenght spaghetti chef b
So, <span>chef a should protest the judges' decision, because his </span>lenght spaghetti is ≥ lenght spaghetti chef b.
<u>ANSWER: </u>
Amount terry was charged in interest for the billing cycle is $ 4.9 approximately.
<u>SOLUTION:
</u>
Given, Terry has a credit card that uses the average daily balance method for the first 18 days of one of his billing cycles, his balance was $350, and for the last 12 days of the billing cycle, his balance was $520.
His credit cards APR is 14%
Using the average daily balance method, the amount to be used in calculating Theresa's interest is given by:
![\frac{\text { sum of product of number of days in bulling cycle and balance. }}{\text { moter }}=\frac{18 \times 350+12 \times 520}{18+12}\\\\=\frac{12540}{30}=418](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctext%20%7B%20sum%20of%20product%20of%20number%20of%20days%20in%20bulling%20cycle%20and%20balance.%20%7D%7D%7B%5Ctext%20%7B%20moter%20%7D%7D%3D%5Cfrac%7B18%20%5Ctimes%20350%2B12%20%5Ctimes%20520%7D%7B18%2B12%7D%5C%5C%5C%5C%3D%5Cfrac%7B12540%7D%7B30%7D%3D418)
Therefore, the interest charge on Theresa for the biling cycle is given by:
![\frac{\text {amount } \times A P R}{12 \text { months }}=\frac{418 \times 0.14}{12}=4.877](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctext%20%7Bamount%20%7D%20%5Ctimes%20A%20P%20R%7D%7B12%20%5Ctext%20%7B%20months%20%7D%7D%3D%5Cfrac%7B418%20%5Ctimes%200.14%7D%7B12%7D%3D4.877)
hence, amount terry was charged in interest for the billing cycle is $ 4.9 approximately.