Answer:
The Arc of the circle is 12.
3.) (2,1), (4,2), (6,4), (7,5), (8,6)
Answer:
129.8 approximately
Step-by-step explanation:
So this sounds like a problem for the Law of Cosines. The largest angle is always opposite the largest side in a triangle.
So 11 is the largest side so the angle opposite to it is what we are trying to find. Let's call that angle, X.
My math is case sensitive.
X is the angle opposite to the side x.
Law of cosines formula is:

So we are looking for X.
We know x=11, a=4, and b=8 (it didn't matter if you called b=4 and a=8).



Subtract 80 on both sides:


Divide both sides by -64:

Now do the inverse of cosine of both sides or just arccos( )
[these are same thing]

Time for the calculator:
X=129.8 approximately
Answer:
In order of least to greatest- 99%, -9.9, sqaure root of 80, 1/9, sqaure root of 9, 19%
Step-by-step explanation:
Answer:
The perimeter of the rectangle is 27n + 1 feet
Step-by-step explanation:
The formula of the perimeter of the rectangle is P = 2(L + W), where
- L is the length of the rectangle
- W is the width of the rectangle
∵ The width of a rectangle is 7n - 6.5 feet
∴ W = 7n - 6.5 feet
∵ The length of the rectangle is 6.5n + 7 feet
∴ L = 6.5n + 7 feet
→ Substitute W and L in the formula of the perimeter above
∵ P = 2[6.5n + 7 + 7n - 6.5]
→ Add the like terms
∴ P = 2[(6.5n + 7n) + (7 - 6.5)]
∴ P = 2[13.5n + 0.5]
→ Multiply the terms in the bracket by 2
∴ P = 27n + 1
∴ The perimeter of the rectangle is (27n + 1) feet