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3 years ago

6

You have 12 different video games. How many different ways can you arrange the games side by side on a shelf?

1 answer:

exis [7]3 years ago

7 0

Answer:

by size,color,by first name, by last name, and by date purchased.

Step-by-step explanation:

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Maslowich

The answer is the third one

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3 years ago

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Find the area someone please help

a_sh-v [17]

Answer:

33.3cm²

Step-by-step explanation:

9 multiplied by 3.7 is equal to 33.3cm²

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3 years ago

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What is a square root of (a-b)^2

Bess [88]

Hello,

$\sqrt{(a-b)^2}=|a-b| \\ 
= a-b\ if\ a \ \textgreater\ b \\
=b-a\ if\ a\ \textless \ b$

4 0

3 years ago

Evaluate the following integral using trigonometric substitution

serg [7]

Answer:

The result of the integral is:

$\arcsin{(\frac{x}{3})} + C$

Step-by-step explanation:

We are given the following integral:

$\int \frac{dx}{\sqrt{9-x^2}}$

Trigonometric substitution:

We have the term in the following format: $a^2 - x^2$ , in which a = 3.

In this case, the substitution is given by:

$x = a\sin{\theta}$

So

$dx = a\cos{\theta}d\theta$

In this question:

$a = 3$

$x = 3\sin{\theta}$

$dx = 3\cos{\theta}d\theta$

So

$\int \frac{3\cos{\theta}d\theta}{\sqrt{9-(3\sin{\theta})^2}} = \int \frac{3\cos{\theta}d\theta}{\sqrt{9 - 9\sin^{2}{\theta}}} = \int \frac{3\cos{\theta}d\theta}{\sqrt{9(1 - \sin^{\theta})}}$

We have the following trigonometric identity:

$\sin^{2}{\theta} + \cos^{2}{\theta} = 1$

So

$1 - \sin^{2}{\theta} = \cos^{2}{\theta}$

Replacing into the integral:

$\int \frac{3\cos{\theta}d\theta}{\sqrt{9(1 - \sin^{2}{\theta})}} = \int{\frac{3\cos{\theta}d\theta}{\sqrt{9\cos^{2}{\theta}}} = \int \frac{3\cos{\theta}d\theta}{3\cos{\theta}} = \int d\theta = \theta + C$

Coming back to x:

We have that:

$x = 3\sin{\theta}$

So

$\sin{\theta} = \frac{x}{3}$

Applying the arcsine(inverse sine) function to both sides, we get that:

$\theta = \arcsin{(\frac{x}{3})}$

The result of the integral is:

$\arcsin{(\frac{x}{3})} + C$

8 0

3 years ago

Isosceles triangle ABC has a perimeter of 96 centimeters. The base of the triangle is Line segment A C and measures 24 centimete

Mnenie [13.5K]

<h2>Answer:36 $cm$ </h2>

Step-by-step explanation:

Given that $ABC$ is isosceles triangle.

A isosceles has two sides equal an the third side is the base.

So, $AB=BC$ ...(i)

Given that length of the base $AC=24$

Given that the perimeter of the triangle is $96$

So, $AB+BC+AC=96$ ...(ii)

Using (i) and (ii),

$AB+AB+AC=96\\2AB+24=96\\2AB=72\\AB=36cm$

4 0

3 years ago