Answer:

Step-by-step explanation:
From the question we are told that
Arc of 30 cm
10% reduction after each swing
Generally sum of geometric sequence is given by the equation

Mathematically solving for total distance traveled we have


Therefore the total distance traveled by the pendulum after 5 swings

We are given radius = 6 yards
area of circle = pi * r * r = 3.14 * 6*6 = 113.04 yard square
cost of carpet is $14 per square yard
cost of 113.04 square yard = 14*113.04= 1582.56 dollars
Answer: cost to carpet the planetarium is $1582.56
Answer:
when they are intersecting at a 90 degree angle.
Step-by-step explanation:
when lines intersect, they just cross over one another at any point. but with perpendicular lines, they have to be at a right angle. an example of this is a square. all of its corners are perpendicular
437-456-513-650-893-954-1018-1038-1117-1465
Answer:
y = -(1/3)x + 2
Step-by-step explanation:
Keeping in mind the equation of a line: y = mx + c
Notice three discernible points on the graph: (0,2), (3,1), (6,0).
The first and last points mentioned represent the intercept on y-axis and the intercept on x-axis respectively.
Therefore, when x = 0, y = 2. And 2 = m(0) + c
c = 2
Also, when y = 0, x = 6. And 0 = 6m + 2
6m = -2. And m = -(2/6) = -(1/3)
Therefore, y = -(1/3)x + 2