Answer:
54.8 (rounded to the nearest tenth from 54.76558202)
Step-by-step explanation:
Using the Cosine equation (CAH) you type in a calculator "cos(x) = 4.5/7.8".
This will get you the answer if typed in a calculator and hitting "SOLVE".
SOLUTION
The given expression is:
![-5\sqrt[]{147\times r^{13}\times s^8}](https://tex.z-dn.net/?f=-5%5Csqrt%5B%5D%7B147%5Ctimes%20r%5E%7B13%7D%5Ctimes%20s%5E8%7D)
Rewrite the expression
![-5\sqrt[]{49\times3\times r^{12}\times r^1\times s^{4\times2}}](https://tex.z-dn.net/?f=-5%5Csqrt%5B%5D%7B49%5Ctimes3%5Ctimes%20r%5E%7B12%7D%5Ctimes%20r%5E1%5Ctimes%20s%5E%7B4%5Ctimes2%7D%7D)
This further give
![\begin{gathered} -5\sqrt[]{49\times3\times(r^6)^2\times r^1\times(s^4)^2} \\ =-5\times7\times r^6\times s^4\sqrt[]{3\times r} \\ =-35r^6s^4\sqrt[]{3r} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20-5%5Csqrt%5B%5D%7B49%5Ctimes3%5Ctimes%28r%5E6%29%5E2%5Ctimes%20r%5E1%5Ctimes%28s%5E4%29%5E2%7D%20%5C%5C%20%3D-5%5Ctimes7%5Ctimes%20r%5E6%5Ctimes%20s%5E4%5Csqrt%5B%5D%7B3%5Ctimes%20r%7D%20%5C%5C%20%3D-35r%5E6s%5E4%5Csqrt%5B%5D%7B3r%7D%20%5Cend%7Bgathered%7D)
Therefore, the solution is
Liza is driving to her sister's house 360 miles away. After 4 hours, Liza is 2/3 of the way there.
How many more hours does Liza have to drive?
<em><u>Answer:</u></em>
Liza need to drive 2 more hours to reach her sister house
<em><u>Solution:</u></em>
Given that Liza is driving to her sister's house 360 miles away
So total distance = 360 miles
After 4 hours, Liza is 2/3 of the way there.

So Liza has covered 240 miles in 4 hours
Let us find the speed
<em><u>The relation between distance and speed is given as:</u></em>


Thus speed = 60 miles per hour
Assuming speed is same throughout the journey, let us calculate the time taken to complete remaining distance
Remaining distance = 360 - 240 = 120 miles
Now distance = 120 miles and speed = 60 miles per hour

Thus Liza need to drive 2 more hours to reach her sister house
2 because you do what is in parenthesis first :)