The sum of two numbers:
x + y = 108
The difference of the same two numbers:
x - y = 78
We can use substitution to figure out x and y:
x - y = 78 can be changed to x = 78 + y
We can plug this into the first equation:
78 + y + y = 108
78 + 2y = 108
2y = 30
y = 15
Now solve for x using any of the two equations. I'll use the first equation since it's easier:
x + 15 = 108
x = 93
Answer: 8 5/8 turns
Step-by-step explanation:
Hi, to answer this question we have to simply to multiply the number of turns that the windmill makes per hour (5 3/4) by the time asked (1 ½ hours).
Mathematically speaking:
5 3/4 x 1 1/2 = (5x4+3)/4 x (1x2+1)/2 = 23/4 x 3/2= 69/8 or 8 5/8 (mixed form)
In conclusion, the windmill makes 8 5/8 turns in 1 1/2 hours.
By applying the law of sines.
Given:
<span>GJ = 10 , ∠J =45° , ∠H = 31°
∴ </span><span>
∴ GH = 10 * sin 45° / sin 31° ≈ 13.7 m
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