Answer:
195.25
Step-by-step explanation:
Consider geometric series S(n) where initial term is a
So S(n)=a+ar^1+...ar^n
Factor out a
S(n)=a(1+r+r^2...+r^n)
Multiply by r
S(n)r=a(r+r^2+r^3...+r^n+r^n+1)
Subtract S(n) from S(n)r
Note that only 1 and rn^1 remain.
S(n)r-S(n)=a(r^n+1 -1)
Factor out S(n)
S(n)(r-1)=a(r^n+1 -1)
The formula now shows S(n)=a(r^n+1 -1)/(r-1)
Now use the formula for the problem
The coordinate of the partition c on the line segment is (1.2, -4.7)
<h3>How to determine the coordinates of the partition?</h3>
The coordinates are given as:
A = (7,-2)
B = (-8,-9)
m:n = 5:8
The coordinate of the partition is calculated using:
So, we have:
Evaluate the sum and products
Evaluate the product
(x,y) = (1.2, -4.7)
Hence, the coordinate of the partition on the line segment is (1.2, -4.7)
Read more about line segment ratios at:
brainly.com/question/12959377
#SPJ4
Answer:
8 meters.
Step-by-step explanation:
Let the 2 radii be x and 2x, then
π x^2 + π (2x)^2 = 80π
π x^2 + π 4x^2= 80π
x^2 + 4x^2= 80
5x^2 = 80
x^2 = 16
x = 4.
So the radius of the larger circle = 2*4 = 8 m.
Find the difference:
1400 - 1250 = 150
Divide the difference by the starting value:
150 / 1250 = 0.12
Multiply by 100:
0.12 x 100 = 12% increase.
If I am understanding the question, and assuming the living room is a rectangle, then the border should be 80 ft
