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2 years ago

Harry is 45 years old is 60% as old as Patrick .How old is Patrick

Mathematics

1 answer:

Ainat [17]2 years ago

3 0

Answer:

it is 27.

Step-by-step explanation:

60 percent of 45 is 27.

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Please help me, I would very much appreciate it.

Gnesinka [82]

Answer:

The answer is B

Step-by-step explanation:

4 0

2 years ago

two angles are complementary. the larger angle is 6 more than five times the number. how large is the smaller angle?

spin [16.1K]

Answer:

14 degrees

Step-by-step explanation:

Complementary angles means they add up to 90 degrees.

If the smaller angle times 5 plus 6 equals the bigger angle, then:

14 x 5 = 70

70 + 6 = 76

76 + 14 = 90

6 0

2 years ago

Read 2 more answers

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

Which of these relations is a function?<br> I’m I correct??

Vlad1618 [11]

Answer:

the first one on the bottom

Step-by-step explanation:

There is a little trick to find out if it is a function or not. This trick is called the vertical line test. if you can scan the figure with a virtual line and it does not touch more than one side of the figure at one time then it is a function. if it touches more than one side or line of the figure it is not a function.

3 0

2 years ago

The values of x and y are directly and one pair of values are given.

Anestetic [448]

Answer:

The relation is $y = -1.5x$