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AURORKA [14]
3 years ago
5

The perimeter of a square is 12p +4. One side of the square equals? Explain your answer.

Mathematics
1 answer:
Hoochie [10]3 years ago
3 0

We know that a square, by definition, has four congruent sides.

So, simply divide the perimeter by 4, and you will get the expression equivalent to each side: 12p+4/4

3p+1 is equal to one side of the square

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Answer:

Verified below

Step-by-step explanation:

We want to show that (Cos2θ)/(1 + sin2θ) = (cot θ - 1)/(cot θ + 1)

In trigonometric identities;

Cot θ = cos θ/sin θ

Thus;

(cot θ - 1)/(cot θ + 1) gives;

((cos θ/sin θ) - 1)/((cos θ/sin θ) + 1)

Simplifying numerator and denominator gives;

((cos θ - sin θ)/sin θ)/((cos θ + sin θ)/sin θ)

This reduces to;

>> (cos θ - sin θ)/(cos θ + sin θ)

Multiply top and bottom by ((cos θ + sin θ) to get;

>> (cos² θ - sin²θ)/(cos²θ + sin²θ + 2sinθcosθ)

In trigonometric identities, we know that;

cos 2θ = (cos² θ - sin²θ)

cos²θ + sin²θ = 1

sin 2θ = 2sinθcosθ

Thus;

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This is equal to the left hand side.

Thus, it is verified.

5 0
2 years ago
. Una persona desea realizar una pintura para su próxima exposición en donde esta tenga tres colores fluorescentes y dos colores
ycow [4]

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Step-by-step explanation:

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Since , he want three fluorescent colors and two pastel colors.

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=\dfrac{7!}{3!4!}\times\dfrac{5!}{2!3!}\\\\=\dfrac{7\times6\times5\times4!}{3\times2\times1\times4!}\times\dfrac{5\times4\times3!}{2\times3!}\\\\=350

Hence, the correct option is B. 350.

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laiz [17]

Answer:

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