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
Answer:
x = 10.4
y = 9
Step-by-step explanation:
Suppose the triangles are similar
x/26 = 8/20 (side lengths must be proportional) cross multiply expressions
20x = 208 divide both sides by 20
x = 10.4
same goes for y
6/(6+y) = 8/20 cross multiply expressions
120 = 8y + 48 subtract 48 from both sides
72 = 8y divide both sides by 8
9 = y
Answer:
Step-by-step explanation:
4/(2+4+8+2) = 4/16 = 1/4
A triangle needs to add up to 180 degrees so 44 plus 37 is 81 so that last angle is 99 degrees then you do 180 minus that angle because those 2 angles need to equal up so not equals 81
I'd start by finding the x and y intercepts. If x = 0, then y = 18/4 so your coordinate would be (0, 18/4). When y = 0, then x = 18/5 so your coordinate would be (18/5, 0). Now, if you solve it for y and pick a value for x, like 1 for example, you could find you y very easily.
. Choosing x = 1, you would get y = 5/4 + 18/4 and y = 23/4. So your 3 coordinates could be (0, 18/4), (18/5, 0), and (1, 23/4)
