Answer:
try Jiskha Homework Help
Step-by-step explanation:
Answer: The answer is 25
Step-by-step explanation:
First, You would add the two numbers together, which you get 155
Then, the degrees of a triangle is equal to 180. So you would subtract 155 from 189, and you should get 55.
Hope this helps :3
Answer:
(c) 3360
Step-by-step explanation:
Given
The above arithmetic series where:
--- first term
--- the common difference (18 - 12 = 6)
--- The last term
Required
The value of the series
First, we calculate n using:
![T_n = T_1 + (n - 1)d](https://tex.z-dn.net/?f=T_n%20%3D%20T_1%20%2B%20%28n%20-%201%29d)
This gives:
![198 = 12 + (n - 1)*6](https://tex.z-dn.net/?f=198%20%3D%2012%20%2B%20%28n%20-%201%29%2A6)
Collect like terms
![198 - 12 = (n - 1)*6](https://tex.z-dn.net/?f=198%20-%2012%20%3D%20%28n%20-%201%29%2A6)
![186 = (n - 1)*6](https://tex.z-dn.net/?f=186%20%3D%20%28n%20-%201%29%2A6)
Divide both sides by 6
![31 = (n - 1)](https://tex.z-dn.net/?f=31%20%3D%20%28n%20-%201%29)
Make n the subject
![n = 31 + 1](https://tex.z-dn.net/?f=n%20%3D%2031%20%2B%201)
![n=32](https://tex.z-dn.net/?f=n%3D32)
The sum of the series is:
![S_n= \frac{n}{2}(T_1 + T_n)](https://tex.z-dn.net/?f=S_n%3D%20%5Cfrac%7Bn%7D%7B2%7D%28T_1%20%2B%20T_n%29)
So, we have:
![S_n= \frac{32}{2}(12 + 198)](https://tex.z-dn.net/?f=S_n%3D%20%5Cfrac%7B32%7D%7B2%7D%2812%20%2B%20198%29)
![S_n= \frac{32}{2}*210](https://tex.z-dn.net/?f=S_n%3D%20%5Cfrac%7B32%7D%7B2%7D%2A210)
![S_n= 16*210](https://tex.z-dn.net/?f=S_n%3D%2016%2A210)
![S_n= 3360](https://tex.z-dn.net/?f=S_n%3D%203360)
If a function wouldn't represent area of a circle its domain would be all real numbers. For any number r we can calculate f(r)
But since radius of circle cannot be negative and it also doesnt make sense that it is 0 the answer would be all positive real numbers
Answer is a.
3.21 (I did in on a triangle calculator)