Answer: -2/3
Step-by-step explanation: The slope has a positive and negative number so i knew it wasnt 2/3 but i got it correct when i put -2/3
Step-by-step explanation:
135°+130°+95°+129°+105°+x=720°
594°+x=720°
x=720°_594°
x=126°
Answer:
The sum of the first 22 terms of the sequence is -1199.
Step-by-step explanation:
Arithmetic sequence:
The general term of a arithmetic sequence is given by:
![A_n = a_1 + (n-1)r](https://tex.z-dn.net/?f=A_n%20%3D%20a_1%20%2B%20%28n-1%29r)
In which
is the first term and r is the common difference.
The sum of the first n terms of a arithmetic sequence is given by:
![S_n = \frac{n(a_1+a_n)}{2}](https://tex.z-dn.net/?f=S_n%20%3D%20%5Cfrac%7Bn%28a_1%2Ba_n%29%7D%7B2%7D)
First term is - 2 and the common difference is -5.
This means that ![a_1 = -2, a_n = -5](https://tex.z-dn.net/?f=a_1%20%3D%20-2%2C%20a_n%20%3D%20-5)
Sum of the first 22 terms
![S_{22} = \frac{22(-2+a_{22})}{2} = 11(-2+a_{22})](https://tex.z-dn.net/?f=S_%7B22%7D%20%3D%20%5Cfrac%7B22%28-2%2Ba_%7B22%7D%29%7D%7B2%7D%20%3D%2011%28-2%2Ba_%7B22%7D%29)
In which
![a_{22} = -2 + (22-1)(-5) = -107](https://tex.z-dn.net/?f=a_%7B22%7D%20%3D%20-2%20%2B%20%2822-1%29%28-5%29%20%3D%20-107)
So
![S_{22} = 11(-2 - 107) = 11(-109) = -1199](https://tex.z-dn.net/?f=S_%7B22%7D%20%3D%2011%28-2%20-%20107%29%20%3D%2011%28-109%29%20%3D%20-1199)
The sum of the first 22 terms of the sequence is -1199.
Answer:
2,6.8, the range is 2
Step-by-step explanation:
Answer:
20
Step-by-step explanation:
We can use the Pythagorean theorem since this is a right triangle
a^2+b^2 = c^2 where a and b are the legs and c is the hypotenuse
21^2 + b^2 = 29^2
441+b^2 =841
Subtract 441 from each side
441 +b^2 -441 = 841-441
b^2 = 400
Take the square root of each side
sqrt(b^2) = sqrt(400)
b =20