The coordinates of the midpoint of AB is (4.5, -1.5)
We can find this by taking the average of each coordinate. The average of the x's (2 and 7) is 4.5, while the average of the y's (-4 and 1) is -1.5.
The coordinates of the midpoint of CD is (-5.5, 1)
We can find this by taking the average of the coordinates as we did in the first one. The average of the x's (-3 and -8) is -5.5, while the average of the y's (-2 and 4) is 1.
Answer:
The given series can be written as
4
∑ (5)^i
i = 0
We know that the series is
1+5+25+125+625
This is equal to
(5)^0 + (5)^1 + (5)^2 + (5)^3 + (5)^4
Thus,
For i from 0 to 4,
We get the general representation.
Answer:
6.81m
Step-by-step explanation:
Using the formula for finding the length of am arc
L = theta/360° × 2πr
theta is the angle subtended by the drum in rotation
r is the radius of the drum
Given theta = 315.7°
r = 1.1m
Substituting the given values into the formula we have:
L = 315.7/360 × 2π(1.1)
L = 315.7/360 × 2.2π
L = 315.7/360 × 2.2(3.14)
L = 315.7/360 × 6.91
L = 6.81metres
Line of about 6.81metres will be wounded around the drum