Answer:
Well a triangle itself is worth 180 degrees (Inteirior angles)
your given “a” “b” and you need to find c.
So you can subtract
A is 50
B is 55
So
<BCA= 180- 55-50
Is the answer (b)
Answer:
k = 29
Step-by-step explanation:
(5k -3) + (9+k) = 180
5k-3+9+k = 180
6k + 6 = 180
6k = 180 - 6 = 174
k = 29
Answer:
The earning rate is approximately 0.08.
Step-by-step explanation:
We can determine the yearly rate by means of compound interest, which is defined by:
(Eq. 1)
Where:
- Initial deposit, measured in US dollars.
- Earning rate, dimensionless.
- Earning periods, measured in years.
We proceed to clear the earning rate within:
![\frac{C(t)}{C_{o}} = (1+r)^{t}](https://tex.z-dn.net/?f=%5Cfrac%7BC%28t%29%7D%7BC_%7Bo%7D%7D%20%3D%20%281%2Br%29%5E%7Bt%7D)
![\log \frac{C(t)}{C_{o}} = t\cdot \log (1+r)](https://tex.z-dn.net/?f=%5Clog%20%5Cfrac%7BC%28t%29%7D%7BC_%7Bo%7D%7D%20%3D%20t%5Ccdot%20%5Clog%20%281%2Br%29)
![\frac{1}{t}\cdot \log \frac{C(t)}{C_{o}} = \log (1+r)](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7Bt%7D%5Ccdot%20%5Clog%20%5Cfrac%7BC%28t%29%7D%7BC_%7Bo%7D%7D%20%3D%20%5Clog%20%281%2Br%29)
![\log \left(\frac{C(t)}{C_{o}} \right)^{\frac{1}{t} } = \log (1+r)](https://tex.z-dn.net/?f=%5Clog%20%5Cleft%28%5Cfrac%7BC%28t%29%7D%7BC_%7Bo%7D%7D%20%5Cright%29%5E%7B%5Cfrac%7B1%7D%7Bt%7D%20%7D%20%3D%20%5Clog%20%281%2Br%29)
![\left(\frac{C(t)}{C_{o}} \right)^{\frac{1}{t} } = 1+r](https://tex.z-dn.net/?f=%5Cleft%28%5Cfrac%7BC%28t%29%7D%7BC_%7Bo%7D%7D%20%5Cright%29%5E%7B%5Cfrac%7B1%7D%7Bt%7D%20%7D%20%3D%201%2Br)
![r = \left(\frac{C(t)}{C_{o}} \right)^{\frac{1}{t} }-1](https://tex.z-dn.net/?f=r%20%3D%20%5Cleft%28%5Cfrac%7BC%28t%29%7D%7BC_%7Bo%7D%7D%20%5Cright%29%5E%7B%5Cfrac%7B1%7D%7Bt%7D%20%7D-1)
If we know that
and
, then the earning rate is:
![r = 2^{\frac{1}{9} }-1](https://tex.z-dn.net/?f=r%20%3D%202%5E%7B%5Cfrac%7B1%7D%7B9%7D%20%7D-1)
![r \approx 0.08](https://tex.z-dn.net/?f=r%20%5Capprox%200.08)
The earning rate is approximately 0.08.
So,
In order to simplify a fraction, we have to factor both the numerator and the denominator.
![\frac{420}{15} --\ \textgreater \ \frac{2*2*3*5*7}{3*5}](https://tex.z-dn.net/?f=%20%5Cfrac%7B420%7D%7B15%7D%20--%5C%20%5Ctextgreater%20%5C%20%20%20%5Cfrac%7B2%2A2%2A3%2A5%2A7%7D%7B3%2A5%7D%20)
Cross out ones.
2. Mountain ranges would be your answer