2 years ago

The distance formula is based on which theorem?

Mathematics

2 answers:

antoniya [11.8K]2 years ago

8 0

It's based on the Pythagorean Theorem.

MrRa [10]2 years ago

4 0

It is based on Pythagorean theorem.

You might be interested in

Use spherical coordinates. evaluate xyz dv e , where e lies between the spheres ρ = 4 and ρ = 6 and above the cone ϕ = π/3.

sergey [27]

Set

$x=\rho\cos\theta\sin\varphi$

$y=\rho\sin\theta\sin\varphi$

$z=\rho\cos\varphi$

so that the volume element is

$\mathrm dV=\mathrm dx\,\mathrm dy\,\mathrm dz=\rho^2\sin\varphi\,\mathrm d\rho\,\mathrm d\theta\,\mathrm d\varphi$

The integral is then

$\displaystyle\iiint_Exyz\,\mathrm dV=\int_{\varphi=0}^{\varphi=\pi/3}\int_{\theta=0}^{\theta=2\pi}\int_{\rho=4}^{\rho=6}\rho^5\cos\theta\sin\theta\sin^3\varphi\cos\varphi\,\mathrm d\rho\,\mathrm d\theta\,\mathrm d\rho$

$=\displaystyle\left(\int_0^{\pi/3}\sin^3\varphi\cos\varphi\,\mathrm d\varphi\right)\underbrace{\left(\int_0^{2\pi}\cos\theta\sin\theta\,\mathrm d\theta\right)}_0\left(\int_4^6\rho^5\,\mathrm d\rho\right)$

and so evaluates to 0.

3 0

2 years ago

Subtract<br> 505,000 - 427,619 -

yawa3891 [41]

Answer:

77381 is your answer

Step-by-step explanation:

5 0

2 years ago

The mean of the Normal distribution determines the ___________ of the distribution. Please complete the sentence by selecting on

tamaranim1 [39]

Step-by-step explanation:

location

of the distribution.

5 0

1 year ago

Any nonzero internet divided by 0 equals 0. True or false

Tju [1.3M]

I think this is true

5 0

2 years ago

2. Weekly CPU time used by an accounting firm has a probability density function (measured in hours) given by

Zina [86]

Answer:

good luckgood luckgood luckgood luck

Step-by-step explanation:

good luckgood luckgood luckgood luck

6 0

3 years ago