a) 6.32 in.
to solve each part of the problem, let's pay attention to the triangle abc shown in the figure.
a) the slant height (l) of the cone is the hypotenuse of the right triangle abc, then, to calculate it you can apply the pythagorean theorem:
b) the angle asked is the angle ∠a, then, you have:
c) the angle formed between the segments (which you can call α) that represent the slant heights is twice the angle ∠c.
by definition, the sum of the interior angles of a triangle is 180°,so you can calculate the angle ∠c as following:
the amount of time can be expressed as a = 45 - 20
this is because we are simply subtracting the amount of minutes it takes him to eat snack from what he has left.
first put the data from smallest to largest
12 points, 17 points,21 points, 23 points, 24 points, 28 points,29 points
the left end of the whisker should be 12 (this eliminates graph a)
the right end of the whisker should be 29 (this eliminates graph b)
there are 7 points
the middle point is 4
the 4th point is 23
that is the line in the middle of the box (this eliminates graph c)
the lower line of the box is at at point 2 = 17
the upper line of the box is at point 6 = 28
this leaves us with graph d
7: 25-7: 10=: 15