Write short note on the rules on how to bisect a line
2 answers:
Answer:
First, in your compass take more than half of the given line, i.e, if the line is 5 centimeters, then in the compass take a length more than five centimeters.
Second, Draw an arc, by keeping the compass needle on one end of the line, and do the same by keeping it on the other end.
Two of the arcs will intersect at a point.
Third, do the same, but in the back-ward direction, as in the below of the line. These two will also intersect.
Lastly, draw a line connecting the intersection of the top and below arcs.
I couldnt add the last pic because of the 5 attachments rule. Like I said in the last rule, just join the two arc intersections.
Thank You
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Answer:
- The shaded region is 9.83 cm²
Step-by-step explanation:
<em>Refer to attached diagram with added details.</em>
<h2>Given </h2>Circle O with:
- OA = OB = OD - radius
- OC = OD = 2 cm
- The area of segment ADB.
Since r = OC + CD, the radius is 4 cm.
Consider right triangles OAC or OBC:
- They have one leg of 2 cm and hypotenuse of 4 cm, so the hypotenuse is twice the short leg.
Recall the property of 30°x60°x90° triangle:
- a : b : c = 1 : √3 : 2, where a- short leg, b- long leg, c- hypotenuse.
It means OC: OA = 1 : 2, so angles AOC and BOC are both 60° as adjacent to short legs.
In order to find the shaded area we need to find the area of sector OADB and subtract the area of triangle OAB.
Area of <u>sector:</u>
- A = π(θ/360)r², where θ- central angle,
- A = π*((mAOC + mBOC)/360)*r²,
- A = π*((60 + 60)/360))(4²) = 16.76 cm².
Area of<u> triangle AO</u>B:
- A = (1/2)*OC*(AC + BC), AC = BC = OC√3 according to the property of 30x60x90 triangle.
- A = (1/2)(2*2√3)*2 = 4√3 = 6.93 cm²
The shaded area is:
- A = 16.76 - 6.93 = 9.83 cm²
Using limits, it is found that the end behavior of the function is given as follows:
As x → -∞, f(x) → 4; as x → ∞, f(x) → 4.
<h3>How to find the end behavior of a function f(x)?</h3>The end behavior of a function f(x) is given by the limit of f(x) as x goes to infinity.
In this problem, the function is:
Considering that x goes to infinity, for the limits, we consider only the terms with the highest exponents in the numerator and denominator, hence:
.
.
Hence the correct statement is:
As x → -∞, f(x) → 4; as x → ∞, f(x) → 4.
More can be learned about limits and end behavior at brainly.com/question/27950332
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