16. A satellite dish company charges a one-time installation fee of $75 and then a monthly usage charge of $40. The total cost of using that satellite service is given by the function C(t) = 40t + 75, where t is the time
(in months) since starting the service. For the situation given below, describe the new function using the
graph of C(t) = 40t + 75 as a reference.
a. The satellite dish company reduces its one-time installation fee to $60. What
change would you make to the graph of C(t) = 40t + 75 to obtain the new graph?
b. The satellite dish company decreases its monthly fee to $30. What change would
you make to the graph of C(t) = 40t + 75 to obtain the new graph?
C.
What is the new function with both changes?

geometry: triangles

solvers

lessons

answers archive

call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

25.45584

a

step-by-step explanation:

d 25 pi/6

step-by-step explanation:

the diameter is 10 inches

the radius is 1/2 of the diameter or 5 inches

the area of the circle is

a = pi r^2

  = pi 5^2

  = 25 pi

the slice is 60 degrees of the entire circle.

60 degrees out of 360   60/360 = 1/6

the area of the slice is 1/6 of the circle

a slice = 1/6 a circle

a slice = 1/6 * 25 pi

central angle of a triangle has the same measure as its intercepted arc.

step-by-step explanation: