Question 1)
I assume it asks about the circumference (of only the circle arc)
C=r*2*pi
r=2
-> C=4pi
1 Quarter only of the circle: C/4=pi=3.1
if it's the perimeter of the shape then you need to add the two 2in sides
C=3.1+2*2=7.1
2)
C=r*2*pi, but not a full circle, only semi-> divide by 2-> C=r*pi
r=30
C=30pi=94.2
3)
the radius of the semicircle is 6/2=3mm
semicircle C=r*pi=3pi
add the rectangle perimeter
3pi+2*3+6=12+3pi=21.4
4)
C=2r*pi
insert 2r=d=12
C=12pi=37.7
5)
C=2r*pi
r=10
C=20*pi~62.8
3 rotations of the wheel->
distance=C*3=188.4
600 mm of rain / 30 min = 50 mm of rain per minute
Domain are x values (independent variable);
Speed would be independent so what speeds can be used ? -30 mph, 30 mph, 1000 mph?
Can a car go 0 mph?
What is realistic?
I would say 0 greater or equal to x greater than whatever you think is beyond the max that a car can go.
In order to figure out the horizontal distance Raymond travels using his zip cable, we may simply apply Pythagoras theorem which is, for a right triangle:
hypotenuse² = base² + height²
base = √(hypotenuse² - height²)
base = √(65² - 52²)
base = 39 yards
Raymond will travel a horizontal distance of 39 yards.
