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3 years ago

$2.40 for 3 watermelons

Mathematics

2 answers:

Marizza181 [45]3 years ago

6 0

Answer:

it is a great price

Step-by-step explanation:

sveta [45]3 years ago

3 0

Answer:

0.80

Step-by-step explanation:

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In a pair of complementary angles, the measure of the larger angle is twice that of the smaller

EleoNora [17]

Answer: 60 degrees

Step-by-step explanation:

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2 years ago

Nina makes $12 per hour at her job. She also earns commission. Last week she earned $78 in commission and made a total of $444.

Vesnalui [34]

Answer:

30.5 hours

Step-by-step explanation:

444-78=366

366/12=30.5

30.5 x 12= 366

7 0

2 years ago

Read 2 more answers

Round to the nearest tens 312.432

ValentinkaMS [17]

310, since 4 is not up to 5, then 2 round off to 0

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2 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

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

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2 years ago

I need help ASAP please with all of them

ratelena [41]

The third one I think I'm not sure

3 0

2 years ago