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pentagon [3]
3 years ago
14

What is the exact circumference of the circle? Circle A with diameter 60 feet. 10π feet 20π feet 40π feet 60π feet

Mathematics
2 answers:
joja [24]3 years ago
8 0

Answer:The circumference of a circle is 2•3.14(Pi)•R(radius) or 3.14(Pi)•D(diamater).

Since we have our diameter, 60, we need to multiply it by Pi.

60Pi is your answer.

I hope this helps!

Step-by-step explanation:

Gelneren [198K]3 years ago
4 0
The circumference of a circle is 2•3.14(Pi)•R(radius) or 3.14(Pi)•D(diamater).
Since we have our diameter, 60, we need to multiply it by Pi.
60Pi is your answer.

I hope this helps!
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Step-by-step explanation:

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3 years ago
Evaluate the surface integral. s x2 + y2 + z2 ds s is the part of the cylinder x2 + y2 = 4 that lies between the planes z = 0 an
Leya [2.2K]
Parameterize the lateral face T_1 of the cylinder by

\mathbf r_1(u,v)=(x(u,v),y(u,v),z(u,v))=(2\cos u,2\sin u,v

where 0\le u\le2\pi and 0\le v\le3, and parameterize the disks T_2,T_3 as

\mathbf r_2(r,\theta)=(x(r,\theta),y(r,\theta),z(r,\theta))=(r\cos\theta,r\sin\theta,0)
\mathbf r_3(r,\theta)=(r\cos\theta,r\sin\theta,3)

where 0\le r\le2 and 0\le\theta\le2\pi.

The integral along the surface of the cylinder (with outward/positive orientation) is then

\displaystyle\iint_S(x^2+y^2+z^2)\,\mathrm dS=\left\{\iint_{T_1}+\iint_{T_2}+\iint_{T_3}\right\}(x^2+y^2+z^2)\,\mathrm dS
=\displaystyle\int_{u=0}^{u=2\pi}\int_{v=0}^{v=3}((2\cos u)^2+(2\sin u)^2+v^2)\left\|{{\mathbf r}_1}_u\times{{\mathbf r}_2}_v\right\|\,\mathrm dv\,\mathrm du+\int_{r=0}^{r=2}\int_{\theta=0}^{\theta=2\pi}((r\cos\theta)^2+(r\sin\theta)^2+0^2)\left\|{{\mathbf r}_2}_r\times{{\mathbf r}_2}_\theta\right\|\,\mathrm d\theta\,\mathrm dr+\int_{r=0}^{r=2}\int_{\theta=0}^{\theta=2\pi}((r\cos\theta)^2+(r\sin\theta)^2+3^2)\left\|{{\mathbf r}_3}_r\times{{\mathbf r}_3}_\theta\right\|\,\mathrm d\theta\,\mathrm dr
=\displaystyle2\int_{u=0}^{u=2\pi}\int_{v=0}^{v=3}(v^2+4)\,\mathrm dv\,\mathrm du+\int_{r=0}^{r=2}\int_{\theta=0}^{\theta=2\pi}r^3\,\mathrm d\theta\,\mathrm dr+\int_{r=0}^{r=2}\int_{\theta=0}^{\theta=2\pi}r(r^2+9)\,\mathrm d\theta\,\mathrm dr
=\displaystyle4\pi\int_{v=0}^{v=3}(v^2+4)\,\mathrm dv+2\pi\int_{r=0}^{r=2}r^3\,\mathrm dr+2\pi\int_{r=0}^{r=2}r(r^2+9)\,\mathrm dr
=136\pi
7 0
3 years ago
The table represents the function f(x) = 2x+1.
Serhud [2]

Answer:

5

Step-by-step explanation:

Plug in x = 2 into the equation 2x + 1

2x + 1

2 * 2 + 1

4 + 1

5

3 0
3 years ago
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Elis [28]
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3 0
3 years ago
The girl ran 5 miles * 2 + 60 + 54
kupik [55]

Answer:

Equation = 1/4 x + 25 = 70

Solution = $180

Explanation:

Let the original amount she had before she went shopping be x

If she spent one-fourth on sloth, then the amount spent on cloth will be;

1/4 x

If she receives another $25 a week later totalling her money $70, then the equation that represents the situation will be;

1/4 x + 25 = 70

Find the solution

1/4 x + 25 = 70

1/4 x = 70 - 25

1/4 x = 45

x = 45 * 4

x = 180

Hence the amount she had before going for shoppind was $180

5 0
1 year ago
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