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2 years ago

I need helpppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppp

Mathematics

1 answer:

ASHA 777 [7]2 years ago

3 0

Answer:

sorry. thats a hard one. math isn't. my area best of luck

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100 POINTS! IF YOU ANSWER THESE 5 QUESTIONS CORRECTLY :)

Sergeeva-Olga [200]

1. Use a computer to randomly select 30 student IDs from all her students2. If the ice cream store owner asks 2300 people, will most likely pick cheesecake to be the flavor of the month.3. I would need the line plot4. I would need the graph to solve5. I would need the graph to solveClick to let others know, how helpful is it

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5 0

3 years ago

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A torus is formed by rotating a circle of radius r about a line in the plane of the circle that is a distance R (> r) from th

jeyben [28]

Consider a circle with radius $r$ centered at some point $(R+r,0)$ on the $x$ -axis. This circle has equation

$(x-(R+r))^2+y^2=r^2$

Revolve the region bounded by this circle across the $y$ -axis to get a torus. Using the shell method, the volume of the resulting torus is

$\displaystyle2\pi\int_R^{R+2r}2xy\,\mathrm dx$

where $2y=\sqrt{r^2-(x-(R+r))^2}-(-\sqrt{r^2-(x-(R+r))^2})=2\sqrt{r^2-(x-(R+r))^2}$ .

So the volume is

$\displaystyle4\pi\int_R^{R+2r}x\sqrt{r^2-(x-(R+r))^2}\,\mathrm dx$

Substitute

$x-(R+r)=r\sin t\implies\mathrm dx=r\cos t\,\mathrm dt$

and the integral becomes

$\displaystyle4\pi r^2\int_{-\pi/2}^{\pi/2}(R+r+r\sin t)\cos^2t\,\mathrm dt$

Notice that $\sin t\cos^2t$ is an odd function, so the integral over $\left[-\frac\pi2,\frac\pi2\right]$ is 0. This leaves us with

$\displaystyle4\pi r^2(R+r)\int_{-\pi/2}^{\pi/2}\cos^2t\,\mathrm dt$

Write

$\cos^2t=\dfrac{1+\cos(2t)}2$

so the volume is

$\displaystyle2\pi r^2(R+r)\int_{-\pi/2}^{\pi/2}(1+\cos(2t))\,\mathrm dt=\boxed{2\pi^2r^2(R+r)}$

6 0

3 years ago

Lana took one and a half times as long as jayden to finish a project. If Lana took 15 days, how long did Jayden take ?

aev [14]

10 days. 15 divided by 1.5 is 10

6 0

3 years ago

Please help!!!! Select the correct location on the graph.

Ludmilka [50]

Answer:

Its the one on the left

Step-by-step explanation:

7 0

3 years ago

What is 175% of 10 and how to write the work

sergiy2304 [10]

Answer:

17.5

Step-by-step explanation:

175% is written as 175/100. If you move the decimal at the end over twice you get 1.75/1 which is just 1.75. You then multiple 10 by 1.75 and you get 17.5

4 0

3 years ago

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