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Lyrx [107]
2 years ago
7

Razionalisacion de denominadores 3 v3 tres sobre raiz cuadrada de 3

Mathematics
1 answer:
Fiesta28 [93]2 years ago
6 0

Answer:

√3

Step-by-step explanation:

Spanish

Racionalización de denominadores 3 / v3 tres sobre raíz cuadrada de 3

da

Usando el método de índices

3 / √3 = 3¹ / 3¹ / ²

= 3¹ / 3⁰.⁵

= 3¹⁻¹ / ²

= 3 ¹ / ²

= √3

Esto también se puede resolver multiplicando tanto el numerador como el denominador por √3

3 / √3 * √3 / √3

= 3√3 / √3 * 3

= 3√3 / √9

= 3√3 / 3

Los tres se cancelan y nos queda √3

English

Rationalization of denominators 3 /v3 three over square root of 3

gives

Using the method of indices

3 / √3 = 3¹/ 3¹/²

= 3¹/ 3⁰.⁵

= 3¹⁻¹/²

=3 ¹/²

=√3

This can also be solved multiplying both the numerator and the denominator by √3

3 / √3 * √3/√3

= 3√3/ √3*3

= 3√3/ √9

= 3√3/ 3

The three are cancelled and we are left with √3

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mote1985 [20]

Answer:

10cos(5x)sin(10x) =  5[sin (15x) + sin (5x)]

Step-by-step explanation:

In this question, we are tasked with writing the product as a sum.

To do this, we shall be using the sum to product formula below;

cosαsinβ = 1/2[ sin(α + β) - sin(α - β)]

From the question, we can say α= 5x and β= 10x

Plugging these values into the equation, we have

10cos(5x)sin(10x) = (10) × 1/2[sin (5x + 10x) - sin(5x - 10x)]

= 5[sin (15x) - sin (-5x)]

We apply odd identity i.e sin(-x) = -sinx

Thus applying same to sin(-5x)

sin(-5x) = -sin(5x)

Thus;

5[sin (15x) - sin (-5x)] = 5[sin (15x) -(-sin(5x))]

= 5[sin (15x) + sin (5x)]

Hence,  10cos(5x)sin(10x) =  5[sin (15x) + sin (5x)]

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Step-by-step explanation:

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Margie's car can go 32 32 miles on a gallon of gas, and gas currently costs 4 4 per gallon. How many miles can Margie drive on $
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A set of 25 two digit numbers are listed below 10,17,20,23,24,28,32,39,42,25,26,52,55,58,61,65,66,72,75,78,79,85,94,97,98. What
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Answer:

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Step-by-step explanation:

Given the data:

X:

10,17,20,23,24,28,32,39,42,25,26,52,55,58,61,65,66,72,75,78,79,85,94,97,98

Sum of each of the numbers :

1, 8, 2, 5, 6, 10, 6, 12, 6, 7, 8, 7, 20, 13, 7, 11, 12, 9, 12, 15, 16, 13, 13, 16, 17

Probability that sum of the number's digit is odd:

Number of odd sum / total numbers

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Total numbers = 25

12 / 25

= 0.48

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Explain the equation used to solve for the axis of symmetry.
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