What do we mean by equidistant?

Answers

Answer 1

A point is said to be equidistant from a set of objects if the distances between that point and each object in the set are equal.

In two-dimensional Euclidean geometry, the locus of points equidistant from two given (different) points is their perpendicular bisector. In three dimensions, the locus of points equidistant from two given points is a plane, and generalising further, in n-dimensional space the locus of points equidistant from two points in n-space is an (n−1)-space.

For a triangle the circumcentre is a point equidistant from each of the three vertices. Every non-degenerate triangle has such a point. This result can be generalised to cyclic polygons: the circumcentre is equidistant from each of the vertices. Likewise, the incentre of a triangle or any other tangential polygon is equidistant from the points of tangency of the polygon's sides with the circle.

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Related Questions

Jensen has an above ground pool in the shape of a regular octagon. Opposite sides are 25 feet apart and each side is 10.4 feet long. It requires 7.5 gallons to fill one cubic foot. How much water is need to fill the pool with 3 feet of water.
A. 3900
B. 5850
C. 1560
D. 11700

Answers

Answer:

D

Step-by-step explanation:

To solve this question we can use the area formula for an octagon.

It is as follows:

A=2(1+√2)a^2

where "A" is the total area and "a" is the length of a side.

Plug in our side length a=10.4

A=2(1+√2)10.4^2

≈522.24268

Alternatively, you can split the octagon into 8 equal triangles.

The base of each triangle would be 10.4 and the height would be 12.5 since opposite sides are 25 feet apart. (25/2)

The area of a triangle would then be:

A=1/2bh

where "b" is base and "h" is height

A=125*10.4*1/2

=65

Since there are 8 we multiply that by 8 for the area of an octagon

65*8=520

The area of the octagon base is 520 square feet.

I'll use this value to do my calculations as it is more exact.

Now, using this area, we need to find the volume of the pool we are meant to fill.

To do this, we simply multiply the area of the base by the height.

520*3=1560

Now, we know that the volume of the pool is 1560 cubic feet.

Each cubic foot takes 7.5 gallons to fill.

1560*7.5=11700

Therefore, the pool takes 11700 gallons of water to fill.

what is 3 13/20 as a decimal

Answers

Answer:

3.65

Step-by-step explanation:

Bonjour, svp aidez-moi

b) Décomposer 30 en produits de facteurs premiers.

Answers

Answer:

2 x 3 x 5

Step-by-step explanation:

30/2 = 15

15/3 = 5

5/5 = 1

Isabella purchased 8 ¼ pints of ice-cream for a party. If each guest will be served exactly 2/4 pint of ice-cream, what is the greatest number of guests that can be served? A. 12 B. 16 C. 15 D. 14

Answers

Answer:

16 ( answerC)

Step-by-step explanation:

8 1/4 divided by 2/4 is equal to 16.5. Assuming you aren't going to be having any half-guests at your party, the answer is 16.

PS, there are weird hackers who are posting links on here to their "answers". Don't click on them or else you will get the virus.

ple help its EZ homework even if u only do 1 itl be gladly appreciated

Answers

Answer: Open the photo (sorry for taking so much space)

Step-by-step explanation:

Solve for h: V=1/3b^2h

Answers

Answer:

Step-by-step explanation:

Shelley had 53¢ until she spent 1 quarter. How much money does Shelley have now?

Answers

Answer:

28¢

Step-by-step explanation:

A quarter is 25¢, so 53¢ - 25¢ = 28¢.

Find the domain and range of y = 8x + 7.5.

plz help​

Answers

Answer:

domain                     range

0                                7.5

1                                  15.5

2                                 13.5

Answer: Domain: (-∞, ∞), Range: (-∞, ∞)

Hope this helped! :)

I need help plz, and thank you!!

Answers

Answer:

1/2

Step-by-step explanation:

In a triangle rectagle:

Sinx= opposite leg / hypotenuse

On your case:

sin (30°)= 5/10= 1/2

Answer:

using trigonometry :

[tex] \sin(30) = \frac{perpendicular}{hypotenuse} [/tex]

[tex] \sin(30) = \frac{5}{10} [/tex]

[tex] \sin(30) = \frac{1}{2} [/tex]

What is the following product

Answers

Answer:

download photomath for problems like these

PLEASEEEEE HELPPP MEE THIS IS LITERALLY MY 10TH TIME POSTING AND IM LOSING POINTS PLSS HELP MEEE I WOULD HAVE A MENTAL BREAKDOWN PLS

Answers

Answer:

8

Step-by-step explanation:

it's 8 because parallel lines have equal slopes

can someone please help me with this question? (no links!!!)

Answers

V = 4/3 × 3 × 5^3

V = 4 × 125

V = 500 cm^3

Mark can make 42 birthday cakes in 7 days. How many cakes can he make in 5 days?

Answers

I’m pretty sure the answer is 30!

Answer:

30

Step-by-step explanation:

if he can make 42 cakes = 7days

therefore x cakes. =5days

you do cross multiplication

i.e. 42x5/7 =30 days

PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!

Answers

Answer:

Graph:

x   y

2  3

4   6

8  12

16 24

32 48

Step-by-step explanation:

Corrdinates for Linear: (5,2)

Hope this helps have a nice day :)

(I tried my best ;-;)

NO LINKS PLEASE!

54 is equal to 75% of a number n. Write and solve an equation to find n. Write the percent as a decimal.

Answers

Answer:

Set this up as a proportion.

54/n = 75/100

Now solve for n and finish from here.

Can i also have brain or a heart :)

Answer:

x would equal 72

Step-by-step explanation:

you can find a percent but there is already a percent showing. So the answer should be 72.

When you're trying to find the answer to these problems you should check if there is a percent part and whole. In this question, there is already a percent and a part so you would just try to find the whole.

0.5w+3x,when w=6,x=5

Answers

Answer:

3 + 15 =

18

Step-by-step explanation:

0.5 x 6 =3

3 x 5 = 15

can someone please help me :,) ​

Answers

Answer:

The answer is 40

Step-by-step explanation:

8+3+5+4=20

Once you added all the nunbers mutilpy by 2

20x2=40

that's how you get 40 as your answer

hope that helps ❤

3. Over the weekend, Jada made three times as much money babysitting than Han did mowing lawns. Jada made an additional $27 selling lemonade. From babysitting and selling lemonade, she has a total of $96. If the equation 3x + 27 = 96 represents this situation, what does the variable x represent?​

Answers

Answer:

X is the amount Han made mowing lawns

because it said that she earned 3xs the amount he did. So you would take what he made times three plus the extra 27 she made from selling lemonade

Adele correctly calculates the measure of angle w shown in the figure

Answers

Answer: the answer is 40

Step-by-step explanation:

first of all look at the lins and you can see that the lines are the same  

92,63,22,80,63,71,44,35 what is the mean?

Answers

Answer:

58.75

Step-by-step explanation:

You add all the numbers and get 470 then divide it by the amount of numbers there which is 8 so 470 divided by 8 is 58.75

The area of a square floor on a scale drawing is 49 square centimeters, and the scale drawing is 1 centimeter:3 ft. What is the area of the actual floor? What is the ratio of the area in the drawing to the actual area?

Answers

Answer:

the area of the actual floor is  784 ft² and the ratio is (1 cm²) ÷ (16 ft²). The same would be relevant

Step-by-step explanation:

The computation of the area and the ratio of the area is shown below:

The ratio of the drawing area to the actual area is  

= ((1 cm) ÷ (4 ft))²

= (1 cm²) ÷ (16 ft²)

 Now the actual floor area is  

(16 ft²) ÷ (1 cm²) = actual area ÷ (49 cm²)

= (16 ft²) × 49 ÷ 1

= 784 ft²

hence, the area of the actual floor is  784 ft² and the ratio is (1 cm²) ÷ (16 ft²). The same would be relevant

name another pair of lines that appear to be perpendicular

Answers

Answer:

parallel lines

Step-by-step explanation:

im pretty sure this is it hope this helps

Haley borrows 1000 dollars from her bank.She will pay the loan at a simple annual interest rate of 4% over 4 years.How much will she pay back altogether

Answers

Answer:

1160

Step-by-step explanation:

1000×4/100% ×4=160

add the1000+160 since they have asked altogether=1160/=

One marble is picked at random and NOT replaced from a box that has 3 red marbles, 4 green marbles 2 blue marbles and one yellow marble. Find the probability of selecting a red and a red marble.

Answers

Answer:

3/9

Step-by-step explanation:

because there are total 9 marbles. 3 red, 4 green and 2 blue.so the probability is 3/9.

2.Mauricio tanqueó su auto en una estación de gasolina. Si el galón costo $ 7.000 y él pagó 12.250 por el servicio, ¿Qué fracción indica la cantidad de galones que pagó Mauricio?

Answers

Answer:

4/7

Step-by-step explanation:

2.Mauricio llenó su auto en una gasolinera. Si el galón le costó $ 7,000 y él pagó 12,250 por el servicio, ¿qué fracción es la cantidad de galones que pagó Mauricio?

La fracción por la cantidad de galones que pagó Mauricio se calcula como:

Cantidad de galones / Cantidad total pagada por el servicio

= $ 7000 / $ 12,250

= 4/7

Por lo tanto, la fracción que es la cantidad de galones que pagó Mauricio es 4/7

Please help it’s due today

Answers

Answer:

Angle A = 15°

use angle properties of triangle to solve this.

Step-by-step explanation:

Given Angle CBD = 30,

Angle ABC + Angle CBD = 180 (Sum of Angles on the same straight line)

Angle ABC + 30 = 180

Angle ABC = 180 - 30 = 150

Since Angle AB =~ BC,

Angle A = Angle C

Let angle A and C be x.

Angle A + Angle C + Angle ABC = 180 (Sum of Angles in a triangle)

[tex]x + x + 150 = 180 \\ 2x + 150 = 180 \\ 2x = 180 - 150 \\ 2x = 30 \\ x = 15[/tex]

Therefore Angle A = 15 degrees

Can someone help me solve pleaseeeee? Asap

Answers

Answer:

[tex]\frac{4}{5}[/tex]

Step-by-step explanation:

Given

[tex]\frac{12x-4}{15x-5}[/tex] ← factorise numerator and denominator

= [tex]\frac{4(3x-1)}{5(3x-1)}[/tex] ← cancel (3x - 1) on numerator and denominator

= [tex]\frac{4}{5}[/tex]

What is the equation of the line shown in the graph?

Answers

Answer:

-6

Step-by-step explanation:

I'm not really sure whether or not your question is asking for the slope intercept form or just the slope.

Your answer would be: y = -6x + 7   [if your question is asking for the slope intercept form]

OR

Your answer would be: -6   [if your question is asking for just the slope]

Please I need help ASAP

Answers

Answer:

A

Step-by-step explanation:

Val walked dogs to save money for some books she wanted to buy. To determine how much money she will make, she used the function rule y = 6x. Find f(x) = 7.

Answers

Answer:

y=6x

y=6(7)

y=6 times 7

y=42

Answer:

42

Step-by-step explanation:

if Y=6, and fx=7, then multiply 6 and 7

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