Simplify: |3 – 8| - (12 divided by 3 + 1) to the power of 2
2 answers:
Answer:
-4
Step-by-step explanation:
Assuming that the following equation is correct, begin by solving the operations within parentheses and absolute value expressions.
|3 - 8| -
|-5| -
The absolute value of -5 is 5; -5 is five units away from 0. 12/4 is equal to 3.
5 -
5 - 9 = -4
The simplified expression is equal to -4.
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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.