Answer: The plane was flying at 40.3636 mph
Step-by-step explanation: Simply divide the total miles by how fast the plane was going.
This is not middle school work
Because you are still multiplying the same values of the number you are multiplying and it's standard form
Radius = 15 feet
circumference = 2 * PI * 15 =
<span>
<span>
<span>
94.25 </span></span></span>feet
the length of the arc is 10 feet
So the angle would equal (10 / 94.25) * 360 =
<span>
<span>
<span>
0.1061007958
</span>
</span>
</span>
* 360 =
=
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<span>
<span>
38.196</span></span></span> degrees
Let's say that in the beginning he weighted x and at the end he weighted x-y, y being the number of kg he wanted to loose.
first month he lost
y/3
then he lost:
(y-y/3)/3
this is
(2/3y)/3=2/9y
explanation: ((y-y/3) is what he still needed to loose: y minus what he lost already
and then he lost
(y-2/9y-1/3y)/3+3 (the +3 is his additional 3 pounts)
(y-2/9y-1/3y)/3-3=(7/9y-3/9y)/3+3=4/27y+3
it's not just y/3 because each month he lost one third of what the needed to loose at the current time, not in totatl
and the weight at the end of the 3 months was still x-y+3, 3 pounds over his goal weight!
so: x -y/3-2/9y-4/27y-3=x-y+3
we can subtract x from both sides:
-y/3-2/9y-4/27y-3=-y+3
add everything up:
-19/27y=-y+6
which means
-19/27y=-y+6
y-6=19/27y
8/27y=6
4/27y=3
y=20.25
so... that's how much he wanted to loose, but he lost 3 less than that, so 23.25
ps. i hope I didn't make a mistake in counting, let me know if i did. In any case you know HOW to solve it now, try to do the calculations yourself to see if they're correct!
