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2 years ago

How to find circumcenter of a triangle with vertices.

Mathematics

1 answer:

dusya [7]2 years ago

6 0

Answer:

The circumcenter of a triangle is defined as the point where the perpendicular bisectors of the sides of that particular triangle intersect. In other words, the point of concurrency of the bisector of the sides of a triangle is called the circumcenter. It is denoted by P(X, Y). The circumcenter is also the centre of the circumcircle of that triangle and it can be either inside or outside the triangle.

Step-by-step explanation:

Steps to find the circumcenter of a triangle with vertices are:

Calculate the midpoint of given coordinates, i.e. midpoints of AB, AC, and BC

Calculate the slope of the particular line

By using the midpoint and the slope, find out the equation of the line (y-y1) = m (x-x1)

Find out the equation of the other line in a similar manner

Solve two bisector equations by finding out the intersection point

Calculated intersection point will be the circumcenter of the given triangle

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The weights of steers in a herd are distributed normally. The variance is 40,00040,000 and the mean steer weight is 1400lbs1400

Alex777 [14]

Answer:

$P(1739$

(Correct to 4 decimal places)

Step-by-step explanation:

The probability of a continuous normal variable X found in a particular interval [a, b] is the area under the curve bounded by x=a and x=b and is given by:

$P(a$

where

$f(X)=\frac{1}{\sigma \sqrt{2 \pi} }e^{-\frac{1}{2} (\frac{x-u}{ \sigma} )^2}$

$f(X)=\frac{1}{200 \sqrt{2 \pi} }e^{-\frac{1}{2} (\frac{x-1400}{ 200} )^2}\\=\frac{1}{200 \sqrt{2 \pi} }e^{- \frac{(x-1400)^2}{ 80000}\\$

$P(1739$

Using a calculator,

$P(1739$

5 0

3 years ago

Read 2 more answers

Tobias dropped a tennis ball from a height of 60 meters. The time in seconds it takes for the ball to fall is 60 feet is 0.25 √6

aleksandrvk [35]

Answer:-1)The three sets of approximation of time will be

Time taken to fall tennis ball from height of 60 m =35.41014 s ≈35.410 s (to the nearest thousandth)

≈35.41s (to the nearest hundredth)

≈35.5 seconds(to the nearest tenth)

2)Time by the ball to hit the ground =35.5 seconds

Step-by-step explanation:

Time taken to fall tennis ball from height of 60 feet = 0.25 √60 s

So,time taken to fall tennis ball from height of 1 foot =0.25√60 divided by 60= $\frac{0.25\sqrt{60} }{60}s$

We know that 1 m = 0.3048 foot

⇒60 m =60×0.3048=18.288 feet

therefore, Time taken to fall tennis ball from height of 60 m = 18.288 ×time taken to fall tennis ball from height of 1 foot= $\frac{0.25\sqrt{60} }{60}\cdot18.288=35.41014\ s$

∴Time taken to fall tennis ball from height of 60 m =35.41014 s ≈35.410 s (to the nearest thousandth)

≈35.41s (to the nearest hundredth)

≈35.5 seconds(to the nearest tenth)

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3 years ago

Whats the perimiter of the following rectangle? The side says x - 2 and the bottom says 2x + 1

irakobra [83]

Answer:

6x-2

Step-by-step explanation:

The perimeter of a rectangle is found by

P = 2(l+w)

=2( x-2 + 2x+1)

Combine like terms

P = 2(3x-1)

Distribute

P = 6x-2

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Answer:

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Step-by-step explanation:

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Maurinko [17]

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3 years ago