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2 years ago

a polygon of 100 sides has all possible drawn from a chosen vertex to the others. how many triangles are formed

Mathematics

1 answer:

Hoochie [10]2 years ago

7 0

Answer:

Step-by-step explanation:

for a 4 sided polygon you can only draw one diagonal from one vertex so it forms 2 triangles.

For 5 sides you get 3 triangles

For 6 sides - 4

For 7 sides - 5

For 8 sides - 6

Looks like we get 2 less triangles than the number of sides in the polygon

Answer for 100 sides is 98 triangles.

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If a person tosses a coin 23 times, how many ways can he get 11 heads

EastWind [94]

Tossing a coin is a binomial experiment.

Now lets say there are 'n' repeated trials to get heads. Each of the trials can result in either a head or a tail.

All of these trials are independent since the result of one trial does not affect the result of the next trial.

Now, for 'n' repeated trials the total number of successes is given by

$_{r}^{n}\textrm{C}$

where 'r' denotes the number of successful results.

In our case $n=23$ and $r=11$ ,

Substituting the values we get,

$_{11}^{23}\textrm{C}=\frac{23!}{11!\times 12!}$

$\frac{23!}{11!\times 12!}=1352078$

Therefore, there are 1352078 ways to get heads if a person tosses a coin 23 times.

3 0

2 years ago

If the x- and y-values in each pair of a set of ordered pairs are interchanged, the resulting set of ordered pairs is known as t

dem82 [27]

Answer:

Inverse of a function

Step-by-step explanation:

If the x- and y-values in each pair of a set of ordered pairs are interchanged, the resulting set of ordered pairs is known as the inverse of a function.

For example, given the following function:

y = 2x

If x=0 → y= 0

If x=1 → y= 2

If x=2 → y= 4

Now, if we find the inverse of the function:

y = 2x → x = 2y → y = x/2

Now:

If x=0 → y= 0

If x=2 → y= 1

If x=4 → y= 2

Comparing both cases, you will notice that the ordered pairs are effectively interchanged.

3 0

2 years ago

For the inverse variation equation P=8/V, what is the value of V when P = 1/2?

postnew [5]

P = 8/v
1/2 = 8/v
multiply v on both sides
1/2 v = 8
multiply 2/1 on both sides (the reciprocal of (1/2)
v = 16
Letter D

4 0

2 years ago

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The bird house in your friend's yard casts a shadow that is 14 feet long. Your friend is 5 feet tall and casts a shadow that is

astra-53 [7]

3.5/5=14/x 20ft tall

3 0

2 years ago

What is the simplified form of the ninth root of x times the ninth root of x times the ninth root of x times the ninth root of x

Tomtit [17]

Let's convert the task into an example, simplifyng which will make us able to get the answer.
So, according to the task: $\sqrt[9]{x} * \sqrt[9]{x} * \sqrt[9]{x} * \sqrt[9]{x} 

= \sqrt[1/ 9 ]{x} * \sqrt[1/9]{x} * \sqrt[1/9]{x} * \sqrt[1/9]{x}$

Now we can simplify: $\sqrt[1/9]{x} + 1/9+1/9+1/9

= x^{4/9}$

So the answer is <span>C:x to the four ninths power</span>

6 0

2 years ago

Read 2 more answers