Answer:
13+Z=-6
Step-by-step explanation:
11 1/4 or 11.25 is the answer
Given:
40 pages in 1.6 minutes
40 / 1.6 = 25 pages per minute
25 x 5 minutes = 125 pages
40 / 1.6 = x / 5
40*5 = 1.6x
200 = 1.6x
200/1.6 = x
125 = x pages
25 : 1 = 150 : x
25x = 150
x = 150/25
x = 6 minutes
Part a:
The opening of the cup is the circular base of the cup which has a circumference equal to the length of the arc formed by angle <span>θ = 9π/5 on the circular piece of paper from which the cone was made.
Thus, the circumference of the circle = Length of the arc formed by angle </span>θ = 9π/5 at the center which is given by

Part b:
The opening of the cup is the circular base of the cup which has a circumference equal to the length of the arc formed by angle <span>θ = 9π/5 on the circular piece of paper from which the cone was made.
</span>Recall that the circumference of a circle is given by

and having obtained from part a that the circumference of the circular opening is

cm.
Thus,

Part c:
The height of the cup can be obtained by noticing that the radius, height and the slant height of the cup forms a right triangle with the height and the radius as the legs and the slant height as the hypothenus.
Using pythagoras theorem, the height of the cup is obtained as follows:

where: h is the height, r is the radius and l is the slant height.

Part d
Recall that the volume of a cone is given by

Thus, the volume of the cup is given by