Answer:
My sister will swing the total distance = 40 feet
Step-by-step explanation:
On the first swing my sister travels a distance of 8 feet.
In every successive swing she travels 80% of the distance of the previous distance.
So the sequence formed by the distance traveled in every swing will be a geometric sequence.
First term of the sequence 'a' = 8 feet
common ratio 'r' = 0.80
Since this sequence is an infinite geometric sequence,
Sum of this sequence = 
[Since r < 1]
= 
= 
= 40 feet
Therefore, my sister will cover the total distance = 40 feet
The answer is 4 square root 5 or -4 square root 5
You can make 4 triangles out of a 3x3 square.
Answer: Slope is -1
Using the slope formula, we get
m = (y2 - y1)/(x2 - x1)
m = (0 - 4)/(2 - (-2))
m = (0 - 4)/(2 + 2)
m = -4/4
m = -1
What's going on here is that we subtract the y values 0 and 4 to get -4. This means that we dropped 4 units vertically to go from A to B. This is the rise. So rise = -4
The run is 4 because we moved 4 units to the right to go from A to B. This is found algebraically when we subtracted the x coordinates, so 2 - (-2) = 2 + 2 = 4.
Slope = rise/run = -4/4 = -1
You have the correct answer, assuming you wrote -1. I think your teacher just marked it wrong because you forgot to show steps.
Answer:
3183.96 ft^3
Step-by-step explanation:
let pi = 3.14
volume of a cylinder is base * height
find the base: (area of circle)
height is given
container A:
circle area = 530.66
multiply 530.66 by the height (13)
530.66 * 13 = 6898.58
container B:
circle area = 530.66
multiple 530.66 by the height (19)
530.66 * 19 = 10082.54
Find empty space:
10082.54-6898.58 = 3183.96
