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
Your answer would be 31.04 m2
Answer:
107°
73°
Step-by-step explanation:
Let the two supplementary angles be x° and y°.
x + y = 180....(1)
Since, supplementary angles differ by 34.
Therefore,
x - y = 34....(2)
Adding equations (1) & (2)
x + y = 180
x - y = 34
_________
2x = 214
x = 214/2
x = 107°
Plug x = 107 in equation (1)
107 + y = 180
y = 180- 107
y = 73°
(2,-4) is new reflected coordinates
*see attachment showing the line graph
Answer:
2
Step-by-step explanation:
The red line represents the line for women, while the blue line represents the line for men.
Age 45 is the middle of 40 and 45 on the x-axis.
The average number of awakenings during the night for 45 -year-old men ≈ 5
The average number of awakenings during the night for 45 -year-old women = 3
The difference = 5 - 3 = 2 times during the night.