When a number is increased by 9.5%, the result is 58. What is the original number to the nearest tenth?
2 answers:
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Answer:
The values of x and y to the given equations are x=-1 and
The solution is (-1,)
Step-by-step explanation:
Given equations are
and
to solve the given equations by elimination method :
Adding the given two equations (1) and (2) we get
_______________
4x=-4
Therefore x=-1
Now substitute the value x=-1 in equation(1) we get
(-1)+3y=9
3y=9+1
Therefore the values of x and y to the given equations are x=-1 and
The solution is (-1,)
Answer:
The required drawing showing the cliff, river, and tower as well as the details in the question is attached, please find alongside the answer
The width of the river is approximately 51.55 meters
Step-by-step explanation:
The height of the observation tower = 11 meters
The angle of elevation of the cliff top and the opposite side of the river = 20°
The angle of elevation of the tower top and the opposite side of the river = 30°
Therefore, by sine rule, we have;
h/sin(20) = w/sin(60)
11/sin(10) = length, l/sin(60)
l = sin(60) ×11/sin(10) ≈ 54.86 meters
w = l × cos (20) = 54.86 meters × cos (20) ≈ 51.55 meters
The width, w, of the river is approximately 51.55 meters.
