Answer:
There will be 88.6% of her bone mass remaining when she returns to earth.
Step-by-step explanation:
According to the problem, the astronaut will have 2% less bone mass than at the beginning of that month. So let's say 
is her original bone mass. In that case, her bone mass after the first month will be:
on the second month, her bone mass will be:
on the third month, her bone mass will be:
and so on, we can see a pattern here. The formula for her remaining bone mass can be generally written like this:
where n is the number of months, so after 6 months, her remaining bone mass will be:
that 0.886 gives us the percentage as a decimal number. When turned into a percentage we get that:
There will be 88.6% of her bone mass remaining after 6 months.
<h3>
Answer: 100 meters</h3>
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Explanation:
If you draw out the diagram, then you'll find that a 45-45-90 triangle forms. The nice thing about this type of triangle is that the two legs are always the same length. The horizontal leg is 100 meters, so the vertical leg must also be 100 meters.
Side note: this type of triangle is an isosceles right triangle.
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You could use the tangent rule to get the same thing
tan(angle) = opposite/adjacent
tan(45) = 100/x
1 = 100/x
1*x = 100
x = 100
In this case, the opposite leg is the vertical leg since it is furthest from the angle of elevation.
Answer:
I don't
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Well the period of the tan(x) function is π. It means that when you add π on X axis you will get the same y axis value.
There is a little trick to find the period of functions like yours.
You just divide period of basic tan(x) function with, in your case 3.
So this mean you have
To = π/3
Function intercepts x axis when function is equal to 0.
tan(3x) = 0
3x = k * π
x = k * (π / 3)
There are only vertical asymptotes in tangent function.
You can easily see it if you look at the graph
tan(x) = ∞ , (π/2 + kπ)
tan(x) = -∞ (-π/2 + kπ).
x = π/2 + kπ
x = - π/2 + kπ
tan(3x) = ∞
3x = π/2 + kπ
x = π/6 + kπ/3
tan(3x) = -∞
3x = -π/2 + kπ
x = -π/6 + kπ/3
