Answer:
x=7
Step-by-step explanation:
take 30 degree as reference angle
using sin tan rule
tan 30=opposite/adjacent
=x/![7\sqrt{3}](https://tex.z-dn.net/?f=7%5Csqrt%7B3%7D)
*![7\sqrt{3}](https://tex.z-dn.net/?f=7%5Csqrt%7B3%7D)
![7\sqrt{3} /\sqrt{3}](https://tex.z-dn.net/?f=7%5Csqrt%7B3%7D%20%2F%5Csqrt%7B3%7D)
7=x
Answer: 1.5 hours
Step-by-step explanation:
If Thiago and Brandon move in opposite directions at speeds of 80mph and 70mph then after 1 hour Thiago will have traveled 80 miles and Brandon will have traveled 70 miles.
Since they are in opposite directions then the distance is from
![70 + 80 = 150\ miles](https://tex.z-dn.net/?f=70%20%2B%2080%20%3D%20150%5C%20miles)
Then we know that after t hours have elapsed they are 225 miles
Then we pose the following equation
![80t + 70t = 225](https://tex.z-dn.net/?f=80t%20%2B%2070t%20%3D%20225)
Now we solve for t
![(80 + 70) t = 225](https://tex.z-dn.net/?f=%2880%20%2B%2070%29%20t%20%3D%20225)
![150t = 225\\\\t=\frac{225}{150}\\\\t=1.5\ hours](https://tex.z-dn.net/?f=150t%20%3D%20225%5C%5C%5C%5Ct%3D%5Cfrac%7B225%7D%7B150%7D%5C%5C%5C%5Ct%3D1.5%5C%20hours)
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Answer:
n = -6
Step-by-step explanation:
7n - 6n
=n
7 = 13 + n
7 - 13
= -6
-6 = n