Answer:
54.514 rev/min
Step-by-step explanation:
Data provided in the question:
Speed of the cable car = 12.65 miles per hour
Diameter of the rotating wheel, d = 6.5 feet
Now,
The speed of rotation of the wheel will be equal to the speed of the cable car
thus,
The speed of rotation of the wheel = 12.65 miles per hour
also,
1 miles = 5280 feets
1 hour = 60 minutes
Thus,
The speed of rotation of the wheel = 
= 1113.2 ft/ min
Circumference of the wheel = πd
= 6.5π feet
= 20.42 feet
Therefore,
The speed of rotation of the wheel in revolutions per minute
= 1113.2 ÷ 20.42 rev/min
= 54.514 rev/min
Just flip it to find recipricol to be
-7/2
Answer:
Spiders=8
Ants=12
Step-by-step explanation:
Spider(s)=8 legs
Ants(a)=6 legs
Total legs=136
Total heads=20
8s+6a=136 (1)
s+a=20 (2)
From (2)
s=20-a
Substitute 20-a into (1)
8s+6a=136
8(20-a)+6a=136
160-8a+6a=136
160-2a=136
-2a=136-160
-2a=-24
a= -24/-2
a=12
Substitute a=12 into (2)
s+a=20
s+12=20
s=20-12
s=8
The answer to this question will be B
Answer:C) x2 + y2 =45
Step-by-step explanation:
The equation of a circle in standard form is (x-h)2+(y-k)2=r2.
Since you know the center is (0,0), you can sub this is value in for h and k, then use the point (3,6) to sub in for x and y and you will find r2 =45. Hope that helps :)