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2 years ago

Help me I need answers?:

Mathematics

1 answer:

JulsSmile [24]2 years ago

4 0

Answer:

46.5 cm

Step-by-step explanation:

63 ÷ 2= 31.5 + 15 = 46.5

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A(n) __value is any 2-value of a function that makes the y-value undefined.

Afina-wow [57]

Answer:

rational

Step-by-step explanation:

its so because they fit equaly

6 0

2 years ago

How do you slove this

GaryK [48]

No she didn't write it correct.

it is soppose to be like this 72,506.
seventy-two thousand five hundred and six

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3 years ago

A rectangular piece of cloth has an area of 1/12 square yard. If the cloth is 2 yards wide, what is the length of the cloth? A.

SVETLANKA909090 [29]

1/12 = 2x
(1/12)/2=x
1/24=x

6 0

2 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

2 years ago

Cups are sold in packs and in boxes. there are 6 cups in each pack. there are 8 cups in each box. Alison buys p packs of cups an

Misha Larkins [42]

Answer:

6p + 8b

Step-by-step explanation:

Let us assume that p would be the number of cups in each pack

And b would be the number of cups in boxes

Given that

There are 6 cups in each pack

And, 8 cups in each box

So the totla number of cups in each pack be 6p

And, the total number of cups in each box is 8b

Now the total number of cups did Alision buys is 6p + 8b

8 0

2 years ago