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3 years ago

Find the angle of x and y

Mathematics

1 answer:

kow [346]3 years ago

4 0

It is always a 90 degree angle when your dealing with right angles.

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Evaluate the expression x= -2

Juli2301 [7.4K]

Answer:

x equals negative two

Step-by-step explanation:

that's how you would say it

7 0

3 years ago

Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y = 8 sin(x

V125BC [204]

Answer with explanation:

The equation of two curves are

y=8 sin x

y=8 cos x

The point of intersection of two curves are

→8 sin x=8 cos x

sinx = cos x

$x=\frac{\pi}{4}\\\\y=8\sin\frac{\pi}{4}\\\\y=4\sqrt{2}$

When you will look between points , 0 and $x=\frac{\pi}{4}\\\\y=8\sin\frac{\pi}{4}\\\\y=4\sqrt{2}$ ,the curve obtained is right angled triangle.

Now, rotate the curve that is right angled triangle along the line , y= -1, to obtain a shape similar or resembling with Right triangular prism.

Draw a circular disc in the right triangular prism , having radius =x,and small part on the triangle having length dx.dx varies from 0 to $\frac{\pi}{4}$ .

Required volume of solid obtained

$=\int\limits^{\frac{\pi}{4}}_0 {8 \sin x} \, dx \\\\=|-8\cos x|\left \{ {{x=\frac{\pi}{4}}} \atop {x=0}} \right.\\\\=8-4\sqrt{2}$

=8-4√2 cubic units

5 0

3 years ago

Zak takes 3 steps for every 2 steps Rich takes. How many steps will zak take if rich takes 18 steps? Explain how you found the a

horsena [70]

Do 2*3 then do the answer divided by 18 to get the answrr

5 0

3 years ago

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The number of typing errors made by a typist has a Poisson distribution with an average of two errors per page. If more than two

wlad13 [49]

Answer: 0.6767

Step-by-step explanation:

Given : Mean = $\lambda=2$ errors per page

Let X be the number of errors in a particular page.

The formula to calculate the Poisson distribution is given by :_

$P(X=x)=\dfrac{e^{-\lambda}\lambda^x}{x!}$

Now, the probability that a randomly selected page does not need to be retyped is given by :-

$P(X\leq2)=P(0)+P(1)+P(2)\\\\=(\dfrac{e^{-2}2^0}{0!}+\dfrac{e^{-2}2^1}{1!}+\dfrac{e^{-2}2^2}{2!})\\\\=0.135335283237+0.270670566473+0.270670566473\\\\=0.676676416183\approx0.6767$

Hence, the required probability :- 0.6767

6 0

3 years ago

Find the sum of -4 and -3

WINSTONCH [101]

-4 + -3 = -7 Hope this helps!

4 0

4 years ago

Read 2 more answers