An ant is walking around the perimeter of a circular wreath with a radius of 8 inches. If the ant walked 21 inches, how many rad
1 answer:
The movement of the ant illustrates the length of an arc
The measure of the central angle is 2.625 radians
<h3>How to determine the central angle</h3>The radius of the arc is given as:
The distance walked is given as:
The length of an arc is
So, we have:
Divide both sides by 8
Divide
Hence, the measure of the central angle is 2.625 radians
Read more about length of arc at:
You might be interested in
Because this is a positive parabola, it opens upwards, like a cup, and the vertex dictates what the minimum value of the function is. In order to determine the vertex, I recommend completing the square. Do that by first setting the function equal to 0 and then moving the 9 to the other side by subtraction. So far: 
. Now, to complete the square, take half the linear term, square it, and add that number to both sides. Our linear term is 6. Half of 6 is 3 and 3 squared is 9. So add 9 to both sides. 
. The right side reduces to 0, and the left side simplifies to the perfect square binomial we created while completing this process. 
. Move the 0 back over and the vertex is clear now. It is (-3, 0). Therefore, 0 is the minimum point on your graph. The first choice above is the one you want.
Answer:
3).
4).
If it was by 10, k = 3 by 10
k = 30
5).