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Ymorist [56]
2 years ago
5

Find the area of a circle with a diameter of 8m in terms of pi

Mathematics
1 answer:
tekilochka [14]2 years ago
5 0

Answer:

16π

Step-by-step explanation:

Area of a circle = πr²

8/2 = 4

Then you plug in 4 in to the formula above.

Have a great day :)

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Find the product. (1.8 x 10^5)(3.1 x 10^2)
Stells [14]

Answer:

5.58*10^7

Step-by-step explanation:

Recall that 10^a*10^b = 10^(a+b).  Thus, 10^5*10^2 = 10^7.

Thus, (1.8 x 10^5)(3.1 x 10^2) = (1.8)(3.1)*10^7 = 5.58*10^7

                           

7 0
3 years ago
Read 2 more answers
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
A small garden measures 8 ft by 7 ft. A uniform border around the garden increases the total area to 110 ft 2. What is the width
Alik [6]

Answer: 3

Step-by-step explanation:

You can answer this question by using the equation

(8+x)(7+x)=110

The x represents the width, as we do not know the area. If you simplify the equation, it becomes 56+15x+x2=110.

If you move all the terms to the left side, and rearrange it, it can become x^2+15x-54=0

This can be simplified into (x-3)(x+18)=0

This equation makes it so that x is either 3 or -18. It is not possible for a width to be -18, so the width must be 3.

8 0
3 years ago
A geometry teacher asked Radric to define "parallel lines." Radric said that parallel lines are lines in a plane that do not hav
UkoKoshka [18]

Answer: The answer is Yes.

Step-by-step explanation:  Given in the question that Radric was asked to define "parallel lines" and he said that parallel lines are lines in a plane that do not have any points in common. We are to decide whether Radric's definition is valid or not.

Parallel lines are defined as lines in a plane which never meets or any two lines in a plane which do not intersect each other at any point are called parallel.

Thus, Radric's definition is valid.

6 0
3 years ago
Read 2 more answers
Which statement is true?<br> GRAPHA<br> GRAPH B
WARRIOR [948]

Answer:

Graph B is correct

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
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