Answer:
Throw a die
Every number on the die represents one of the 6 prizes
The amount of times you throw the die describes the number of boxes you need.
Step-by-step explanation:
80 kilometers is equal to 80,000 meters. This is greater than 1000 meters.
To find this, simply subtract 57 from 90. 90 is the measurement for a completed compliment equation, and 57 is the part of the compliment we know.
33 is the answer
Replace x with π/2 - x to get the equivalent integral

but the integrand is even, so this is really just

Substitute x = 1/2 arccot(u/2), which transforms the integral to

There are lots of ways to compute this. What I did was to consider the complex contour integral

where γ is a semicircle in the complex plane with its diameter joining (-R, 0) and (R, 0) on the real axis. A bound for the integral over the arc of the circle is estimated to be

which vanishes as R goes to ∞. Then by the residue theorem, we have in the limit

and it follows that

For the first question, simply find a point that is on the line segment. For the second question, knowing that in quadrant iii the x values are negative and the y values are also positive using this fact find the point that has x negative and y positive.