All categories

3 years ago

What is the length? The length of the pendulum is feet. (Whole question above)⬆️

Mathematics

1 answer:

olasank [31]3 years ago

4 0

Answer:

In the picture above.

Step-by-step explanation:

I got the answer in meters

but I converted to ft

Hope this helps.

You might be interested in

Nth term of 4,11,18,25

romanna [79]

18 is the answer because eighteenth has nth in the ending

8 0

3 years ago

Read 2 more answers

Amy is using a drawing program to complete a construction with which she is almost finished. Which construction is she completin

AlexFokin [52]

Amy is constructing an equilateral triangle. it's she joins the centers of the 2 circles to the point of intersection she will be done

option a

8 0

3 years ago

Read 2 more answers

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:

$x = a\sin{\theta}$

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

In this question:

$a = 3$

$x = 3\sin{\theta}$

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

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

We have the following trigonometric identity:

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

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

Replacing into the integral:

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