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
Y' = -2x+a
0 = -2(3)+a
6=a
8=-(3)^2 +(3)(6)+b
b=-1
Answer:
k =4
Step-by-step explanation:
5k-2k=12
Combine like terms
3k = 12
Divide each side by 3
3k/3 = 12/3
k = 4
The new side lengths of the lawn would be: 2.5 inches, 0.75 inch, 1 inch and 1.5 inches.
<h3>Scale drawings</h3>
Scale drawing involves changing the size of a figure by dilating the figure.
There are two types of dilation
From the complete question, the dimensions of the lawn are:
10 yards, 3 yards, 4 yards, and 6 yards
Given that the scale factor is 1 inch to 1/4 yard
<h3>The new
dimensions</h3>
The new dimensions of the lawn would be:
2.5 inches, 0.75 inch, 1 inch and 1.5 inches.
This is gotten by multiplying the original dimensions by the scale factor (1/4)
See attachment for the scale drawing
Read more about scale drawings at:
brainly.com/question/24579126
