Answer:
x = 11√2
Step-by-step explanation:
We can notice the triangle given is a special triangle, a 45°- 45°- 90° triangle. The hypotenuse of a 45°- 45°- 90° is √2 times the length of a side. We can set up the equation(using x as the side):
x * √2 = 22
We can divide by √2 on both sides to get:
x = 22 / √2
To rationalize the denominator, we multiply by √2 / √2 on the right side:
x = 22√2 / 2
This simplifies to:
x = 11√2
Answer:
2097150
Step-by-step explanation:
<u>GIVEN :-</u>
- First term of G.P. = 6
- Forth term of G.P. = 384
<u>TO FIND :-</u>
- Sum of first 10 terms of the G.P.
<u>CONCEPT TO BE USED IN THIS QUESTION :-</u>
<em>Geometric Progression :-</em>
- It's a sequence in which the successive terms have same ratio.
- General form of a G.P. ⇒ a , ar , ar² , ar³ , ....... [where a = first term ; r = common ratio between successive terms]
- Sum of 'n' terms of a G.P. ⇒
.
<em>[NOTE :- </em>
can also be the<em> formula for "Sum of n terms of G.P." because if you put 'r' there (assuming r > 0) you'll get negative value in both the numerator & denominator from which the negative sign will get cancelled from the numerator & denominator. </em><em>YOU'LL BE GETTING THE SAME VALUE FROM BOTH THE FORMULAES.</em><em>]</em>
<u>SOLUTION :-</u>
Let the first term of the G.P. given in the question be 'a' and the common ratio between successive terms be 'r'.
⇒ a = 6
It's given that <u>forth term</u> is 384. So from "General form of G.P." , it can be stated that :-


Divide both the sides by 6.


![=> r = \sqrt[3]{64} = 4](https://tex.z-dn.net/?f=%3D%3E%20r%20%3D%20%5Csqrt%5B3%5D%7B64%7D%20%3D%204)
Sum of first 10 terms 



Answer:
160
Step-by-step explanation:
160 divided 8 =20
It’s function one cause if you find the slope on the table it’s 3/1 which is basically just 3. Then the y-intercept is -3.
Function 1 slope is 5 or 5/1 and y-intercept is 4
First, change the percentage to a decimal, by moving the decimal point to the right twice (from the farthest left).
Then multiply the numbers together.
finally, if you need it as a percentage, move the decimal point to the left two decimal places, and you get your percentage again (round if necessary)
hope this helps