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:
y = 5√2/2
x = 5
Step-by-step explanation:
First find y using the tan method: opposite/adjacent
tan(45) = 5√2/2 ÷ y
y = 5√2/2 ÷ tan(45)
y = 5√2/2
Then find x using the pythagoris theorem: c^2 = a^2 + b^2
x = √ (5√2/2)^2 + (5√2/2)^2
x = 5
Answer:
Number : 42
Step-by-step explanation:
This number will be a two - digit number, and hence we can say that it is yz. The ratio of the units digit to the tens digit is given by 1 / 2, so z / y = 1 / 2.
In addition the tens digit is 2 more than the units digit, so y = z + 2. We therefore have the following system of equations,
y = z + 2,
z / y = 1 / 2
Substituting the first equation into the second we receive z / z + 2 = 1 / 2. Using this we can solve for z.
z / z + 2 = 1 / 2 ( Cross - Multiply )
z + 2 = 2z, z = 2
And knowing z we can solve for y. y = z + 2 = 2 + 2 = 4. Therefore our number is 42.
Answer:
8
Step-by-step explanation:
Simplify the expression.
I hope this helps you
2.5. (k+1)=94-4
10. (k+1)=90
k+1=9
k=8
