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1 year ago

Is centroid and Circumcentre same?

Mathematics

1 answer:

makvit [3.9K]1 year ago

7 0

No, the centroid and Circumcentre are not same but it is same in equilateral triangle.

The intersection of a triangle's perpendicular bisectors is called the circumcenter.A triangle's circumcenter is a location that is equally spaced from each of its vertices.The centroid of a triangle is the location where its medians connect.

Triangle's centroid is always within it. The centroid of a triangle is its center of gravity in physical terms. If the triangle is evenly distributed around the plane's surface and you want to balance it by supporting it at only one point, you must do it near the center of gravity.Are the circumcenter and centroid at the same location? In the case of an equilateral triangle, they will both be.

Therefore, the centroid and Circumcentre are not same but it is same in equilateral triangle.

To learn more about circumcenter click here:

brainly.com/question/16276899

#SPJ4

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About a fifth of the potato crop was ruined by a flood. Another fifth of the undamaged potatoes spoiled while being hauled to ma

Lady bird [3.3K]

The answer would be c. 3/5

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3 years ago

Simplify. <img src="https://tex.z-dn.net/?f=%5Csqrt32%20%2B%20%5Csqrt16%2B%20%5Csqrt8" id="TexFormula1" title="\sqrt32 + \sq

svetoff [14.1K]

Answer:

$4 + 6 \sqrt{2}$

Step-by-step explanation:

$\sqrt{32} + \sqrt{16} + \sqrt{8}$

$\sqrt{32} = \sqrt{4 \times 4 \times 2} = 4\sqrt{2}$

$\sqrt{16} = \sqrt{4 \times 4} = 4$

$\sqrt{8} = \sqrt{2 \times 2 \times 2} = 2 \sqrt{2}$

$4 + 4\sqrt{2} + 2 \sqrt{2} = 4 + 6 \sqrt{2}$

5 0

2 years ago

1. If the domain of a function f(x) is the set {10, 20, 30}. What does the information tell you about f-1(x)?

ziro4ka [17]

PART A (1 in diagram)

Each mapping diagram represents a function because none of the elements in the inputs maps on to two different elements in the outputs.

1. The domain of the given function f(x) is the set {10, 20, 30}.

All we can say about

${f}^{ - 1} (x)$

is that, it has a range of {10, 20, 30}.

This is because the domain of a function becomes the range of its inverse function.

2. If the graph of a function f(x) includes the point (3, 0), then the graph of the inverse function ,

${f}^{ - 1} (x)$

will contain the point (0,3).

Reason:The point on the graph of the inverse function is obtained by reflecting the corresponding point on the graph of the function in the line y=x. We just have to swap the coordinates.

In simple terms the domain of the function becomes the range of the inverse function and vice versa.

3. If the first term in an arithmetic sequence is 2.

Then we have a=2.

If the twelfth term is 211, then

$a + 11d = 211...(1)$

Put a=2 into this equation.

$2 + 11d = 211$

Solve for d.

$11d = 211 - 2$

$11d = 209$

$d = \frac{209}{11} = 19$

$a_n = 135$

then

$a + (n - 1)d = 135$

Substitute a=2 and d=19

$2 + (n - 1)19 = 135$

$19(n - 1) = 133$

$(n - 1) = \frac{133}{19}$

$n - 1 = 7$

$n = 7 + 1 = 8$

Therefore n=8

4 0

3 years ago

A rectangular parking lot is 75 feet wide and 150 feet long. The owner wants to increase the width by 100 feet. What is the appr

Trava [24]

The approximate increase in Area of the parking lot is about 133%

Area of a rectangle = Length × width

Initial Area of parking lot :

75 feets × 150 feets = 11250 ft²

New Area of parking lot :

Width = 75 + 100 = 175 feets

Length = 150 feets

Area = 175 × 150 = 26250 ft²

Percentage increase in Area of lot :

((16250 - 11250) / initial Area) × 100%

(15000 / 11250) × 100% = 133.33%

Therefore, the approximate increase on area of lot is 133%

Learn more : brainly.com/question/18109354

5 0

3 years ago

Solve the equation 13-4x=1-x

dem82 [27]

Add 4x to both sides and get
13 = 1 + 3x
12 = 3x [from subtracted 1 from both sides]
x = 4 [from dividing 3 from both sides]

therefore your answer would be x = 4

3 0

3 years ago

Read 2 more answers