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Artyom0805 [142]
3 years ago
8

A drawer contains a dozen unmatched brown socks and a dozen unmatched black socks. how many socks must someone take out to ensur

e they have two black socks?
Mathematics
1 answer:
krok68 [10]3 years ago
5 0
 <span>A) 3 - The third sock will match the first or second if they don't match each other. 
B) 14 - It's highly unlikely yet possible to remove all brown socks first, the next two would have to be black.</span>
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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
If the perimeter of an equilateral triangle is 30cm, find its area. ​
lora16 [44]

Answer:

A ≈ 43.3 cm²

Step-by-step explanation:

the area (A) of an equilateral triangle is calculated as

A = \frac{s^2\sqrt{3} }{4} ( s is a side of the triangle )

given perimeter = 30 cm , then

s = 30 cm ÷ 3 = 10 cm

then

A = \frac{10^2\sqrt{3} }{4} = \frac{100\sqrt{3} }{4} = 25\sqrt{3} ≈ 43.3 cm² ( to the nearest tenth )

7 0
2 years ago
A student factors 10x2 + 3x – 27 to the following. (2x – 3)(5x + 9) Which statement about (2x – 3)(5x + 9) is true? The expressi
77julia77 [94]

Answer:

The answer is A

Step-by-step explanation:

A. The expression is equivalent, and it is completely factored.

7 0
3 years ago
Read 2 more answers
11. Which regular polygon has a minimum rotation of 45° to carry the polygon onto itself?
ASHA 777 [7]

Answer:

the answer is a octagon that has rotation of 45degrees

3 0
3 years ago
If a car averages 21.8 miles per gallon, how many miles will it travel on 16 gallons of gas?
asambeis [7]

Answer: 348.8 miles on 16 gallons of gas

Step-by-step explanation:

Make the following proportion:

\frac{21.8 miles}{1 gallon} = \frac{x miles}{16 gallons}

Since the car consumes gas at the same rate and only the amount of gas is changed, these two fractions must be equivalent. If the rate at which the car consumes gas changes, it would be different.

Use basic algebraic skills and you should get 348.8 miles.

7 0
2 years ago
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