A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y = 7 − x 2 y=7-x2. what are the dimensions of such a rectangle with the greatest possible area?
The original ratio was 7:1. So, that means if you added another part to the salt it would make 2. That means that the 7 parts of water would become 14 parts. Since the ratio of the salt part was doubled from 1 to 2, you would have to do the same with the water ratio part. Hoped this helped!
For 5-8, you add the 2 numbers. Line up the numbers by their place value.
For 9, it says she starts with $233. She worked for 6 hours today. She makes $8 for every hour. First, you have to find how much she made today. 6 hrs times $8 for every hr is $48. In total, she has $281 because we added the amount she starts with, and the amount she earned today.
The law of cosines can be used to find the angle. The sides adjacent to that angle are a=34, b=38, and the side opposite is c=8. Then the angle is found from ...
c² = a² +b² -2ab·cos(C)
cos(C) = (a² +b² -c²)/(2ab)
C = arccos((a² +b² -c²)/(2ab))
C = arccos((34² +38² -8²)/(2·34·38)) = arccos(317/323)
C ≈ 11.06°
From the footballer's viewpoint, the goal posts are 11.06° apart.