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3 years ago

If all of the diagonals are drawn from a vertex of a hexagon, how many triangles are formed?

Mathematics

2 answers:

Romashka [77]3 years ago

8 0

Answer:

Step-by-step explanation:

Elan Coil [88]3 years ago

5 0

If we consider it as a combination problem, then we could calculate the how many combinations are there if we pick up three nodes out of six nodes, and then we have:
$C_{6}^{3}= \frac{6*5*4}{3*2*1} =20$
And the answer should be 20

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5 points free, good job

Vilka [71]

Answer:

ok, what's the question?

Step-by-step explanation:

4 0

2 years ago

Solve x

d1i1m1o1n [39]

Step-by-step explanation:

$x^{2} - 4x - 7 = 0$

First, let's move the $7$ to the right-hand side so we can determine what constant we'll need on the left-hand side to complete the square:

$x^{2} - 4x = 7$

From here, since the coefficient of the $x$ term is $-4$ , we know the square will be $(x - 2)$ (since $-2$ it's half of $-4$ ).

To complete this square, we will need to add $(-2)^{2}$ to both sides of the equation:

$x^{2} - 4x + (-2)^2 = 7 + ^{-2}$

$x^{2} - 4x + 4 = 7 + 4$

$(x - 2)^{2} = 11$

Now we can take the square root of both sides to figure out the solutions to $x$ :

$x - 2 = \pm \sqrt{11}$

$x = 2 \pm \sqrt{11}$

7 0

3 years ago

The average waist size for teenage males is 29 inches with astandard deviation of 2 inches. If waist sizes are normallydistribut

choli [55]

Answer:

The z-score of a teenage with waist size 33 inch is 2

Step-by-step explanation:

Mathematically, the z-score can be calculated using the formula;

z-score = (x- mean)/SD

where mean = 29 inches , SD = 2 inches and x = 33 inch

Plugging these values, we have

z-score = (33-29)/2 = 4/2 = 2

5 0

3 years ago

A multiple choice test has four possible answers for each question. Let X be the number of correct responses in a test of 100 qu

dimulka [17.4K]

Answer:

a. 4.33.

Step-by-step explanation:

If there is only one correct answer out of four alternatives, the expected proportion of correct answers is p =0.25

Sample size (n) = 100 questions

The standard deviation of a proportion 'p' is given by:

$s=\sqrt{\frac{p*(1-p)}{n} }$

Applying the given data:

$s=\sqrt{\frac{0.25*(1-0.25)}{100}}\\s=0.0433$

If X is the number of correct responses in 100 guesses, the standard deviation of X is:

$\sigma = n*s=100*0.0433\\\sigma = 4.33$

The standard deviation of X is 4.33 questions.

7 0

3 years ago

If a = i - 9k and b = j + k , find ab .

Orlov [11]

Answer:

solution

given a=1_9k and b=j+k

Now,ab=(1_9k)(j+k)

=1((j+k)-9k(j+k)

=j+k_9jk-9k^2

=k_9k^2+j_9jk

=k((1_9k)+j(1_9k)

=(1_9k)(k+k)

5 0

3 years ago