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:
(a) ∠HIK and ∠GFD
Step-by-step explanation:
In this geometry, there are only two pairs of alternate exterior angles:
∠HIK and ∠GFD
∠JIK and ∠EFD
Of these, only the first pair is among the answer choices.
__
Alternate exterior angles are ones that are outside the parallel lines, and on opposite sides of the transversal.
Answer:
The answer can be calculated by doing the following steps;
Step-by-step explanation:
Answer:

Step-by-step explanation:
This is an arithmetic sequence:

where d is the common difference and n is the index of any given term.
For the given sequence, the common difference is -1:

Knowing both the common difference and the first term, you can write the equation for this sequence:

Then you can use that equation to find the 75th term:

Answer:
D
Step-by-step explanation:
11r = 33
r = 3