Answer:
The linear velocity of the cable ≅ 327 feet per minute.
Step-by-step explanation:
Given that the diameter of the drum = 8 feet
Radius of the drum = 
= 
= 4 feet
Radius of the drum = 4 feet
1 revolution = circumference of the drum
circumference of the drum = 2
r
where r is the radius.
So that;
circumference of the drum = 2 x
x 4
= 
= 25.143
circumference of the drum = 25.143 feet
The linear velocity of the cable = (13 x 25.143) feet per minute
= 326.859 feet per minute
The linear velocity of the cable ≅ 327 feet per minute.
Answer: 754
Step-by-step explanation:
Divide 683/11 to get the unit rate of 58. That means she is driving 58mph.
Multiply that by how many hours you have, 13, and you get 754.
In 8, 9, 10, all the triangles are similar, meaning corresponding sides have the same ratio.
8. hypotenuse / (short side) = 25/x = x/9
x² = 25*9 = 5²×3²
x = √(5²×3²) = 5*3 = 15
9. (long side) / (short side) = x/7 = 9/x
x² = 7*9
x = √(9*7) = 3√7
10. (short side) / (long side) = x/48 = 48/64
x = 48²/64 = 36
Answer: one and seven tenths
Step-by-step explanation: