How can you prove a triangle is an equilateral triangle? (4 points)

Mathematics

1 answer:

Phoenix [80]2 years ago

6 0

Answer:

A would be correct.

Step-by-step explanation:

Just show that triangles AOB,BOC,COA are all congruent (then all the sides of triangle ABC must be equal). To show this, note that triangles A′BO,A′OC are equilateral since they are all radius of the circles. Line OA′ is perpendicular to line BC. Hence, ∠OBC=∠OCB=30∘.

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NEED HELP <br> WIll GIVE THE BRAINLIEST

Semmy [17]

9514 1404 393

Answer:

B) f(x) = 3

Step-by-step explanation:

The value in the f(x) column is always 3, so the only reasonable choice is ...

f(x) = 3

4 0

2 years ago

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Evaluate ,where e is the solid that lies between the cylinders x^2+y^2=1 and x^2+y^2=16, above the xy-plane, and below the plane

MA_775_DIABLO [31]

Assuming you're just computing the volume, i.e.

$\displaystyle\iiint_E\mathrm dV$

we should convert to cylindrical coordinates first, setting

$\begin{cases}x=r\cos\theta\\y=r\sin\theta\\z=\zeta\end{cases}$

so that the volume is given by

$\displaystyle\iiint_E\mathrm dx\,\mathrm dy\,\mathrm dz=\int_{\theta=0}^{\theta=2\pi}\int_{r=1}^{r=4}\int_{\zeta=0}^{\zeta=r\sin\theta+4}r\,\mathrm d\zeta\,\mathrm dr\,\mathrm d\theta$

which has a value of $60\pi$ .