The simplified expression is 16
Answer:
899.5
Step-by-step explanation:
Answer:
Step-by-step Yes it is, assuming we decide to use the Pythagorean Theorem to find the hypotenuse (10) it'll be possible considering the formula is c²=√a²+b²
(c being the longest side of the triangle)
a= 6 and b= 8
c² =√6² + 8²
c² = √100 square root of 100 equals 10
c= 10p explanation:
Answer:
Option A is correct.
Value of ![S_{22} = 15.4](https://tex.z-dn.net/?f=S_%7B22%7D%20%3D%2015.4)
Step-by-step explanation:
Given:
and common difference(d) = 3.4
A sequence of numbers is arithmetic i.e, it increases or decreases by a constant amount each term.
The sum of the nth term of a arithmetic sequence is given by;
, where n is the number of terms, a is the first term and d is the common difference.
We also know the nth tern sequence formula which is given by ;
......[2]
First find a.
it is given that ![a_{12} = 2.4](https://tex.z-dn.net/?f=a_%7B12%7D%20%3D%202.4)
Put n =12 and d=3.4 in equation [2] we have;
2.4 = a + 37.4
Simplify:
a = - 35
Now, to calculate ![S_{22}](https://tex.z-dn.net/?f=S_%7B22%7D)
we use equation [1];
here, n =2 , a =-35 and d=3.4
![S_{22} = \frac{22}{2}(2(-35)+(22-1)(3.4))](https://tex.z-dn.net/?f=S_%7B22%7D%20%3D%20%5Cfrac%7B22%7D%7B2%7D%282%28-35%29%2B%2822-1%29%283.4%29%29)
![S_{22} = (11)(-70+21(3.4))](https://tex.z-dn.net/?f=S_%7B22%7D%20%3D%20%2811%29%28-70%2B21%283.4%29%29)
![S_{22} = (11)(-70+71.4)](https://tex.z-dn.net/?f=S_%7B22%7D%20%3D%20%2811%29%28-70%2B71.4%29)
![S_{22} = (11)(1.4)](https://tex.z-dn.net/?f=S_%7B22%7D%20%3D%20%2811%29%281.4%29)
Simplify:
![S_{22} = 15.4](https://tex.z-dn.net/?f=S_%7B22%7D%20%3D%2015.4)
Therefore, the sum of sequence of 22nd term i.e, ![S_{22} = 15.4](https://tex.z-dn.net/?f=S_%7B22%7D%20%3D%2015.4)