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.
Vic and Dan are 2, 897m apart.
<h3>How to determine the distance</h3>
It is important to note that the distance between Vic and Dan is the base of CN
Let's say the distance to Dan is x
The distance to Vic is y
Using cosine ratio, we have
cos α = opposite / adjacent
α = 72°
opposite = 553. 3cm
Adjacent = x
cos 72° = 
Cross multiply
×
= 


m
The distance to Vic is y
Using the cosine ratio, we have

Cross multiply


m
To determine how far apart Vic and Dan, we use = x + y
= 1790. 61 + 1106. 6
= 2, 897. 21m
= 2, 897m
Thus, Vic and Dan are 2, 897m apart.
Learn more about bearing and distance here:
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251 tickets would give you a 50.2% chance at winning and no one could go higher than you percentage wise. so 251+
Answer:
(5x+3y) and (5x-3y)
Step-by-step explanation:
From the concept on difference between two squares;
a² - b² = (a+b)(a-b)
Therefore;
25x² - 9y² = (5x+3y) (5x-3y)
Therefore the dimensions of the square are (5x+3y) and (5x-3y)
Answer:

Step-by-step explanation:
<u>Step 1: Convert</u>
Six to the third power times six to the fourth power.



Answer: 