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dexar [7]
2 years ago
14

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:

98

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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Which statement justifies that 3x2 − 2x − 4 multiplied by 2x2 + x − 3 obeys the closure property of multiplication? The result 6
zalisa [80]

We have been given two polynomials 3x^2-2x -4 \text{ and } 2x^2+x-3

Let us first multiply these polynomials.

(3x^2 - 2x - 4)(2x^2 + x - 3)\\
\\
=3x^2(2x^2 + x - 3) -2x(2x^2 + x - 3)-4(2x^2 + x - 3)\\
\\
=6 x^4 - x^3 - 19 x^2 + 2 x + 12

Now, we know that polynomials follows closure property of multiplication.

It means that when we multiply two polynomials, the result will be a polynomial.

Since, when we multiplied the given polynomials, we got 6 x^4 - x^3 - 19 x^2 + 2 x + 12 which is a polynomial.

Therefore, the correct option is

The result 6 x^4 - x^3 - 19 x^2 + 2 x + 12   is a polynomial.


4 0
2 years ago
A pair of sunglasses is on sale for $26. The original price of the sunglasses was $40. What percent of the original price is the
GarryVolchara [31]
If the glasses were origanum 40, and were on sale for 26,we minus them from eachother to find out how much money was saved. So 40-26= 14, if $14 was saved we put 14 over the original price and times it buy 100 14/40x100= 35% So 35% was saved. 100-35= 65. Therefore 65% of the original price was paid and 35% was saved.
7 0
2 years ago
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In the solution, 3b + 9c = 3(b + 3). What should be done to make it CORRECT?
stiks02 [169]

Answer:

The second term of the binomial factor should be 3c instead of 3.

Step-by-step explanation:

Distributive property:

a*b + a*c = a*(b +c)

3b + 9c = 3*b + 3* 3 *c = 3*(b + 3c)

7 0
2 years ago
A skateboarder starts from rest and maintains a constant forward acceleration of 0.50 meter per second squared for 8.4 s. what i
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Answer-

The rider’s displacement during this time is 17.01 m

Solution-

As we know,

s= ut + \frac{1}{2}at^{2}

Where s = displacement,

           u= initial velocity = 0, as the rider starts from rest

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           t= time taken = 8.4 s

Putting the values,

s = (0)(8.4) + \frac{1}{2} (0.5)(8.4)^{2} = 17.64 \ m

7 0
2 years ago
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During a closeout sale, some television models are discounted 40%. What was the original price to the nearest dollar of a televi
dexar [7]

Answer:

1523.25 dollars

Step-by-step explanation:

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2 years ago
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