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denis23 [38]
3 years ago
5

The diameter of a circle is 8 cm. Find its area in terms of \piπ. Please help!!!

Mathematics
1 answer:
Kitty [74]3 years ago
4 0

Answer:

d=16

Step-by-step explanation:

d=2r=2·8=16

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Solve: 2cos(x)-square root 3=0 for 0 less than x less than 2 pi
Leona [35]

Answer:

The general solution of   cos x = cos(\frac{\pi }{6})   is  

                                                x = 2nπ±\frac{\pi }{6}

The general solution values  

                                 x = - \frac{\pi }{6}  and x = \frac{\pi }{6}

Step-by-step explanation:

Explanation:-

Given equation is  

                              2cosx-\sqrt{3} =0  for 0

                              2cosx =\sqrt{3}

Dividing '2' on both sides, we get

                             cos x =\frac{\sqrt{3} }{2}

                             cos x = cos(\frac{\pi }{6})

<em>General solution of cos θ = cos ∝ is θ = 2nπ±∝</em>

<em>Now The general solution of   </em>cos x = cos(\frac{\pi }{6})<em>   is  </em>

<em>                                                 x = 2nπ±</em>\frac{\pi }{6}<em></em>

put n=0

x = - \frac{\pi }{6}  and x = \frac{\pi }{6}

Put n=1  

x = 2\pi +\frac{\pi }{6} = \frac{13\pi }{6}

x = 2\pi -\frac{\pi }{6} = \frac{11\pi }{6}

put n=2

x = 4\pi +\frac{\pi }{6} = \frac{25\pi }{6}

x = 4\pi -\frac{\pi }{6} = \frac{23\pi }{6}

And so on

But given 0 < x< 2π

The general solution values  

                                 x = - \frac{\pi }{6}  and x = \frac{\pi }{6}

                               

6 0
3 years ago
Lucas and Tayvan can paint a house in 1 hour working together. If Tayvan works alone, he can paint the house in 1.5 hours. How l
nikitadnepr [17]

Answer:

1 hour

Step-by-step explanation:

no explanation its common sense lol

7 0
3 years ago
The ratio of the areas of two similar rectangles is 1:4. What is the ratio of the corresponding sides?
levacccp [35]
The ratio of linear dimensions (side lengths) is the square root of the ratio of areas.
√1 : √4 = 1 : 2

The best choice is ...
  B. 1:2
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Round 34,527 to the nearest ten-thousand
photoshop1234 [79]

Answer:

If you round it to the nearest ten-thousand, your answer would be 30,000.

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Determine whether or not F is a conservative vector field. If it is, find a function f such that F = ∇f. (If the vector field is
gavmur [86]

If

\nabla f=(ye^x+\sin y)\,\vec\imath+(e^x+x\cos y)\,\vec\jmath

then

\dfrac{\partial f}{\partial x}=ye^x+\sin y\implies f(x,y)=ye^x+x\sin y+g(y)

Differentiating with respec to y gives

\dfrac{\partial f}{\partial y}=e^x+x\cos y=e^x+x\cos y+g'(y)

\implies g'(y)=0\implies g(y)=C

So F is indeed conservative, and

f(x,y)=ye^x+x\sin y+C

3 0
3 years ago
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