Answer:
π m
Step-by-step explanation:
Arc length = 2πr
where r = radius and 0 = central angle
The given radius is 4m and the given central angle is 45°
Thus, arc length = 2π4
* simplify *
( note when simplifying we leave our answer in terms of π as the answer choices do. )
2 * 4 = 8
arc length = 1π
Hence, arc length = 1π or just π
Answer:
Distance = 7.8 units
Step-by-step explanation:
In coordinate geometry, the distance between the 2 points is given by
where (x1,y1) and (x2,y2) are coordinates of the 2 points.
Above the 2 points given are, (-2,-1) and (3,5).
<em>x1 = -2 , y1 = -1 , x2 = 3, y2 = 5</em>
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<em>Distance = 7.8102 units</em>
To the nearest tenth, Distance = 7.8 units
For the given quadratic equation we only have a maximum at y = 18.
<h3>How to find the extrema of the given function?</h3>
Here we have:
Notice that this is a quadratic equation of negative leading coefficient.
Then we have a maximum at the vertex, and both arms tend to negative infinity as x tends to infinity or negative infinity.
The vertex is at:
x = -(-4)/(2*(-2)) = -1
The maximum is:
If you want to learn more about quadratic equations:
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