Answer:
quadrants 2 & 3
Step-by-step explanation:
cos = adj/hyp
adj is negative in quadrants 2 & 3.
It would be distributive since you distributed the 5 to x and -2.
5*x = 5x and 5*-2 = -10
Answer:
21
Step-by-step explanation:
Answer:
Converges
Sum = 20.8333
Step-by-step explanation:
A geometric series has a general formula of:
![\sum ar^n](https://tex.z-dn.net/?f=%5Csum%20ar%5En)
Where 'a' is the initial term, 'n' is the number of terms, and 'r' is the constant ratio. If |r| < 1 than the series converges.
In this particular case, the initial term is a=25, and each term is being divided by -5, or multiplied by -0.2, so the general form would be:
![\sum 25*(-0.2)^n](https://tex.z-dn.net/?f=%5Csum%2025%2A%28-0.2%29%5En)
Since 0.2 < 1.0, the series converges.
The sum of the series is given by:
![S=\frac{a}{1-r}\\S=\frac{25}{1-(-0.2)}\\S=20.8333](https://tex.z-dn.net/?f=S%3D%5Cfrac%7Ba%7D%7B1-r%7D%5C%5CS%3D%5Cfrac%7B25%7D%7B1-%28-0.2%29%7D%5C%5CS%3D20.8333)
The sum is 20.8333.
Answer and Step-by-step explanation:
![Greetings!](https://tex.z-dn.net/?f=Greetings%21)
![Let's~answer~your~question!](https://tex.z-dn.net/?f=Let%27s~answer~your~question%21)
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![\frac{16}{32}= \frac{12}{24}](https://tex.z-dn.net/?f=%5Cfrac%7B16%7D%7B32%7D%3D%20%5Cfrac%7B12%7D%7B24%7D)
![Now,~from~ here, you~ can ~figure~ out~ that~ the~ ratio~ of ~the ~larger ~triangle~ to ~the \\~smaller~ triangle~ is ~.75:1](https://tex.z-dn.net/?f=Now%2C~from~%20here%2C%20you~%20can%20~figure~%20out~%20that~%20the~%20ratio~%20of%20~the%20~larger%20~triangle~%20to%20~the%20%5C%5C~smaller~%20triangle~%20is%20~.75%3A1)
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![.75(x-1)=6](https://tex.z-dn.net/?f=.75%28x-1%29%3D6)
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![\frac{8}{6}=\frac{32}{24}](https://tex.z-dn.net/?f=%5Cfrac%7B8%7D%7B6%7D%3D%5Cfrac%7B32%7D%7B24%7D)
![Thus,~the~value~of~x~is=9.](https://tex.z-dn.net/?f=Thus%2C~the~value~of~x~is%3D9.)
![Hope~my~answer~helps~you!~Have~a~blessed~day~ahead!](https://tex.z-dn.net/?f=Hope~my~answer~helps~you%21~Have~a~blessed~day~ahead%21)
![-Isabelle~Williams](https://tex.z-dn.net/?f=-Isabelle~Williams)