Joe is 15, 45-15=30 30/2=15
Answer: ![log(\frac{a^3b}{c})](https://tex.z-dn.net/?f=log%28%5Cfrac%7Ba%5E3b%7D%7Bc%7D%29)
Step-by-step explanation:
You need to use the following Properties of Logarithms:
![1)m*log(a)=log(a)^m\\\\2)log(a)+log(b)=log(ab)\\\\3)log(a)-log(b)=log(\frac{a}{b})](https://tex.z-dn.net/?f=1%29m%2Alog%28a%29%3Dlog%28a%29%5Em%5C%5C%5C%5C2%29log%28a%29%2Blog%28b%29%3Dlog%28ab%29%5C%5C%5C%5C3%29log%28a%29-log%28b%29%3Dlog%28%5Cfrac%7Ba%7D%7Bb%7D%29)
Given the following expression:
![3log(a) + log(b) - log(c)](https://tex.z-dn.net/?f=3log%28a%29%20%2B%20log%28b%29%20-%20log%28c%29)
You can follow these steps in order to write it as a single logarightm:
- Apply the first property shown above:
![=log(a)^3 + log(b) - log(c)](https://tex.z-dn.net/?f=%3Dlog%28a%29%5E3%20%2B%20log%28b%29%20-%20log%28c%29)
- Apply the second property:
![=log(a^3b)- log(c)](https://tex.z-dn.net/?f=%3Dlog%28a%5E3b%29-%20log%28c%29)
- Finally, apply the third property:
![=log(\frac{a^3b}{c})](https://tex.z-dn.net/?f=%3Dlog%28%5Cfrac%7Ba%5E3b%7D%7Bc%7D%29)
5*4*6=120
4+(6+9)=19
675+9=75
<span>6 yr 7 months+ 2 yr 11 months = ?
6 yr + 2 yr = 8 yr
7 months + 11 months = 18 months = 1 yr 6 months
8 yr + </span>1 yr 6 months = 9 yr 6 months
answer is C<span>. 9 yr 6 months</span>
Answer:
1120°
Step-by-step explanation:
Use the sum of interior angles formula:
![180(n-2)](https://tex.z-dn.net/?f=180%28n-2%29)
Where n is the number of sides.
In a nonagon, there are 9 sides, substitute 9 for n:
![180(9-2)\\180(7)\\1260](https://tex.z-dn.net/?f=180%289-2%29%5C%5C180%287%29%5C%5C1260)
Since our nonagon is a regular nonagon, all 9 angles measure the same, so each angle measures:
![\frac{1260}{9} =140](https://tex.z-dn.net/?f=%5Cfrac%7B1260%7D%7B9%7D%20%3D140)
Subtract 140 from 1260:
![1260-140=1120](https://tex.z-dn.net/?f=1260-140%3D1120)