Answer:
The numbers of measure of music played are 1 and 7
Step-by-step explanation:
Given
Required
Solve for x when s = 80
Substitute 80 for x
Subtract 50 from both sides
Divide through by 10
Reorder
This can be split into
or
Solve for x
or
or
Hence:
<em>The numbers of measure of music played are 1 and 7</em>
Answer:
340 degrees
Step-by-step explanation:
So the key thing here is to notice that we are given the circumference which will allow us to find a value for the radius of the circle and hence the angle subtended by the arc (the central angle).
So the circumference of a circle = 2pi(r)
This means:
6 = 2pi(r)
Which means that
r = 6/2pi or r = 3/pi
Now we can use this value of r to find our angle in conjunction with the value of the arc length. So:
Arc length is defined by: length = θr
Where θ is our angle value.
So lets plug in:
Multiply by pi to get:
Divide by 3 to get that:
θ = 17pi/9
So if we convert that from radians to degrees we get 340 degrees.