45 90
/ \ / \
5 9 45 2
/ \ / \
3 3 5 9
5x3x3 / \
3 3
2x5x3x3
Answer:
6.81m
Step-by-step explanation:
Using the formula for finding the length of am arc
L = theta/360° × 2πr
theta is the angle subtended by the drum in rotation
r is the radius of the drum
Given theta = 315.7°
r = 1.1m
Substituting the given values into the formula we have:
L = 315.7/360 × 2π(1.1)
L = 315.7/360 × 2.2π
L = 315.7/360 × 2.2(3.14)
L = 315.7/360 × 6.91
L = 6.81metres
Line of about 6.81metres will be wounded around the drum
Answer:
D
Step-by-step explanation:
Let the total production order be X. The combined rate is thus x/36 orders per hour.
Now, we know that the three machines are working at the same constant rate. This means that individual rate for each of the machines will be x/36 divided by 3 and that gives x/108 per machine.
Now, we are having another machine coming at the same constant rate. This means we are adding an x/108 rate to the preexisting x/36.
The new total rate thus becomes x/108 + x/36 = 4x/108
Now we know that the total new rate is 4x/108. Since the total work doesn’t change and it is still x, the time taken to complete a work of x orders at a rate of 4x/108 order per hour would be x divided by 4x/108 and this is x * 108/4x = 108/4 = 27 hours
The system of equation is y = 300 + 3x and y = 250 + 5x and the number of visits is 25
<h3>The system of equations </h3>
The given parameters are:
<u>Jim's Gym</u>
- Initial fee = $300
- Charges = $3 per visit
<u>Sally's Salon</u>
- Initial fee = $250
- Charges = $5 per visit
The equation is calculated as:
Total (y) = Initial * Charges * Number of visits (x)
So, the system of equation is
y = 300 + 3x
y = 250 + 5x
<h3>Number of visits before the plans are equal</h3>
We have:
y = 300 + 3x
y = 250 + 5x
Substitute y = 300 + 3x in y = 250 + 5x
300 + 3x = 250 + 5x
Evaluate the like terms
-2x = -50
Divide by -2
x= 25
Hence, the number of visits is 25
Read more about system of equations at
brainly.com/question/12895249
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