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3 years ago

How many diagnols can fit in a 8 sided shape?

Mathematics

1 answer:

Jobisdone [24]3 years ago

8 0

Drawing a diagonal means to connect a vertex with another non-adjacent vertex.

So, for each vertex, we have 8-3=5 possible diagonals. This leads to a total of 8*5=40 diagonals.

We have to divide this number by 2 though, because in this way we're counting each diagonal twice (connecting points AB or BA gives the same diagonal).

So, an 8 sided shape has 20 diagonals.

You might be interested in

Find an equation for the line that passes through the points (5.-5) and (-4,-2)

ANEK [815]

Answer:

$\large\boxed{y=-\dfrac{1}{3}x-\dfrac{10}{3}\to x+3y=-10}$

Step-by-step explanation:

The slope-intercept form of an equation of a line:

$y=mx+b$

m - slope

b - y-intercept

The formula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

We have the points (5, -5) and (-4, -2).

Substiute:

$m=\dfrac{-2-(-5)}{-4-5}=\dfrac{-2+5}{-9}=\dfrac{3}{-9}=-\dfrac{1}{3}$

Put the value of the slope and the coordinates of the point (5, -5) to the equation of a line:

$-5=-\dfrac{1}{3}(5)+b$

$-5=-\dfrac{5}{3}+b$ add 5/3 to both sides

$-\dfrac{15}{3}+\dfrac{5}{3}=b\\\\-\dfrac{10}{3}=b\to b=-\dfrac{10}{3}$

Finally we have the equation of a line in the slope-intercept form:

$y=-\dfrac{1}{3}x-\dfrac{10}{3}$

Convert to the standard form (Ax + By = C):

$y=-\dfrac{1}{3}x-\dfrac{10}{3}$ multiply both sides by 3

$3y=-x-10$ add x to both sides

$x+3y=-10$

4 0

3 years ago

How would I get a answer?

tresset_1 [31]

Answer:

0.07kg

Step-by-step explanation:

1kg = 1000g

so grams/1000 =kg

70/1000 = 0.07kg

3 0

3 years ago

About how many inches are equivalent to 3 meters? Round the number(s) needed in the table to the nearest tenth to find the appro

Burka [1]

Answer:

Step-by-step explanation:

three meters is 118.11 inches, so if you were to round that you would get 120 inches. That means the answer is D.

3 0

3 years ago

Order these numbers from least to greatest. 9.4061 , 9.07 , 9.007 , 9.4

klio [65]

9.4061,
9.07,
9.007,
9.4
Because ones are equal for all numbers, we are going to begin to compare from the second digits (tenths).
Greater :
9.4061 and 9.4.
Greatest is this group is 9.4061, then will go 9.4.

Smaller :
9.07 and 9.007
Greatest in this group is 9.07, and then will go 9.007.

So, from greatest to smallest : 9.4061 , 9.4 , 9.07 , 9.007.

From least to greatest :
9.007, 9.07, 9.4, 9.4061.

3 0

3 years ago

7. 12, 24, 4, 18, 12, 9 Using the data, create a histogram.

Mnenie [13.5K]

Answer:

import pandas as pd

vec = pd.Series([7.12,24,4,18,12,9])

vec.plot(kind = 'hist')

Step-by-step explanation:

You can use python for that.

By doing

import pandas as pd

vec = pd.Series([7.12,24,4,18,12,9])

vec.plot(kind = 'hist')

And this is the result you get

5 0

2 years ago