Answer:
1) 8.9 cm
2) 44.5 cm^2
Step-by-step explanation:
a) we want to calculate the length of the arc
Mathematically, we use the formula for the length of an arc
That will be ;
theta/360 * 2 * pi * r
theta = central angle = 51
r is radius = 10 cm
so we have ;
51/360 * 2 * 22/7 * 10 = 8.9 cm
2) The area of the sector is;
theta/360 * pi * r^2
51/360 * 22/7 * 10^2
= 44.5 cm^2
Answer:
<u>Work Done = 27.66 Joules</u>
Step-by-step explanation:
The work done is:

Where
F is the fore
d is the distance moved
is the angle
The force is "4"
The distance is the distance from (1,7) to (8,10)
The distance is the square root of change in y coordinates, squared and sum of change in x coordinates, squared. Hence, distance is:

The angle is gotten by the formula:

So, now:

Work Done = 
<u>Work Done = 27.66 Joules</u>
Answer: 8
Step-by-step explanation: Speed is distance/time
18/3 = 6 miles per hour running
18/2 = 9 miles per hour biking
3 hour bike = 27 miles
1.50 hour run (0.50 because 30 minutes is half of an hour) = 9 miles
27 + 9/3 + 1.50 = 36/4.5 or 8
Answer: ummmmmmm
Step-by-step explanation: teeeeeheeee
idk
GIBE MEH A TANKS