Given :
A boat is being pulled into a dock with a rope attached to the boat at water level. When the boat is 12 feet from the dock, the length of the rope form the boat to the dock is 3 feet longer than twice the height of the dock above the water.
To Find :
The height of the dock.
Solution :
This will make a right angle triangle as given in link below .
Now , applying Pythagoras theorem :

Now , h = 5 or h = -9 .
Now , height cannot be negative .
So , height of the dock is 5 ft .
Hence , this is the required solution .
2a+1b=27.50
4a+2b=59.50
Multiply first equation by -4 and the second by 2 so you can drop off the a values then add the equations together. Then solve for b. You should get b=6.
Then plug b into one of the original equations and solve for a and you should get 10.75
So a plate of spaghetti is $10.75 and a salad is $6.
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Answer:
18 students in 4th grade
15 students in 5th grade
Step-by-step explanation:
1/3 of 45 = 15 students in 5th grade
2/5 of 45 = 18 students in 4th grade