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ANEK [815]
3 years ago
14

WILL MARK BRAINLIEST!!!!!

Mathematics
1 answer:
xenn [34]3 years ago
5 0

Answer:

An example that may contradict the definition is that if you are trying to find chords, they wont be the same distance as finding the radius. The way that you can change this definition is by saying that "A circle is the set of all points in a plane that are the same distance from a fixed point called the center."

Hope this helps you!

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What is 2x + 8y explained
SVEN [57.7K]

Answer:

2x + 8y = 16

Step-by-step explanation:

Subtract 2x from both sides of the equation.

8y = 16 − 2x

Divide each term by 8 and simplify.

3 0
3 years ago
A sphere of radius r is cut by a plane h units above the equator, where
Anika [276]
Consider the top half of a sphere centered at the origin with radius r, which can be described by the equation

z=\sqrt{r^2-x^2-y^2}

and consider a plane

z=h

with 0. Call the region between the two surfaces R. The volume of R is given by the triple integral

\displaystyle\iiint_R\mathrm dV=\int_{-\sqrt{r^2-h^2}}^{\sqrt{r^2-h^2}}\int_{-\sqrt{r^2-h^2-x^2}}^{\sqrt{r^2-h^2-x^2}}\int_h^{\sqrt{r^2-x^2-y^2}}\mathrm dz\,\mathrm dy\,\mathrm dx

Converting to polar coordinates will help make this computation easier. Set

\begin{cases}x=\rho\cos\theta\sin\varphi\\y=\rho\sin\theta\sin\varphi\\z=\rho\cos\var\phi\end{cases}\implies\mathrm dx\,\mathrm dy\,\mathrm dz=\rho^2\sin\varphi\,\mathrm d\rho\,\mathrm d\theta\,\mathrm d\varphi

Now, the volume can be computed with the integral

\displaystyle\iiint_R\mathrm dV=\int_0^{2\pi}\int_0^{\arctan\frac{\sqrt{r^2-h^2}}h}\int_{h\sec\varphi}^r\rho^2\sin\varphi\,\mathrm d\rho\,\mathrm d\varphi\,\mathrm d\theta

You should get

\dfrac{2\pi}3\left(r^3\arctan\dfrac{\sqrt{r^2-h^2}}h-\dfrac{h^3}2\left(\dfrac{r\sqrt{r^2-h^2}}{h^2}+\ln\dfrac{r+\sqrt{r^2-h^2}}h\right)\right)
5 0
3 years ago
Joseph tweets 13 times a day. define each variable and write an algebraic expression to describe the number of post after any gi
notka56 [123]

13 •X= # of tweets

X= number of days

3 0
3 years ago
Write 0.57 as a fraction in simplest form.<br> 0.57 <br> Lower number fraction
krek1111 [17]

Answer:

14.25/25

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
look at my the expression below. 1/2 (a+b) - (a-b)2 what is the value of the expression when a= 18 and b =14?
oksano4ka [1.4K]
8 because 18+14 =32 then divide 32 by 2. Then 18-14= 4 then multiply that by 2 and you get 8. 16 -8 = 8
3 0
3 years ago
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