Answer:
Let r represent the radius of the smaller circle and R the radius of the larger circle.
Apply ratios: the radius of smaller circle to radius of larger circle, i.e.
r: R = 3 : 7.
I complete rotation = 360 degrees.
Part 1:
For one complete rotation of the smaller circle, the larger circle is rotated through: (3/7)*(360) = 154.3 degrees
Part 2:
For one complete rotation of the larger circle, the larger circle is rotated through: (7/3)*(360) = 840.0 degrees
This is equivalent to (840/360) = 2.3 rotations
Alternatively, use the ratios:
The number of rotations = R/r = 7/3 = 2.3 rotations
BRAINLIEST PLEASE??
Step-by-step explanation:
Answer:
The number of times it would take more than 27 minutes to manufacture a pair of running shoes is 2.275 times or approximately 2 times per every 100 shoes
Step-by-step explanation:
The average time it takes to manufacture a pair of shoes = 21 minutes;
The standard deviation = 3 minutes
To find how often it takes more than 27 minutes to manufacture a pair of running shoes, we have;
Standard score, given as follows;

Where;
x = The raw score = 27 minutes
μ = The average score = 21 minutes
σ = The standard deviation = 3 minutes
From which we have;

Therefore, it is borderline unusual with a p value of P(z>2) = 1 - 0.97725 = 0.02275
Therefore, the number of times out of 100 that it would take more than 27 minutes to manufacture a pair of running shoes = 100 × 0.02275 = 2.275 times which is approximately 2 times in every 100 shoes.
Answer:
y = -3x - 8.3
Step-by-step explanation:
You need to rearrange 9x + 3y = -22 in the form y = mx+c.
9x+3y = -22
3y = -9x - 22
y = -3x - 7.3
As long as the gradient is the same, the lines will be parallel. So you can give any number to the intercept (in this case I gave 8.3) and you will have parallel equations.
Final answer : y = -3x - 8.3