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Cerrena [4.2K]
3 years ago
7

Please help as soon as possible it's due tomorrow ​

Mathematics
1 answer:
erma4kov [3.2K]3 years ago
7 0

Answer:

378 cm^3

Step-by-step explanation:

V = Bh = l * w * h

since the Base B is 54 (l*w), multiply by 7 to find volume

54 * 7 = 378

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Whenever a,x,y are positive integers, which of the following expressions is equivalent to x^ay^a
lilavasa [31]

Answer:

{(xy)}^{a}

Step-by-step explanation:

when the exponent is equal, we can put the x and y together in a bracket and a as the Exponent of xy.

Hope I get your question~

3 0
3 years ago
Help me look at picture
hoa [83]

Answer:

113.04

Step-by-step explanation:

Our formula for this circle is 3.14x6^2(6x6) and our formula is 3.14xr^2 so it equals 113.04

5 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
1. |b|<10
zavuch27 [327]

Answer:

5====

Step-by-step explanation:

8 0
3 years ago
How to take a line in desmos and reflect it over y axis and find equation.
Pachacha [2.7K]

Answer:

Reflecting a function over any axis can be complicated if you do not know the proper way to do it, so I am going to use examples to show you.

If f(x)=x is your normal function, then flipping it across the y-axis would look like f(x)=-x.

Step-by-step explanation:

Placing a - sign before the X will make it flip across the y-axis. After the X, and it flips across the X-axis.

7 0
3 years ago
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