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elena-14-01-66 [18.8K]
3 years ago
13

How many solutions does the equation 3(x + 2) - 10 = 4x - 6+ xhave? A infinitely many solutions B two solutions one solution D n

o solution​
Mathematics
1 answer:
alexdok [17]3 years ago
3 0

Answer:

Step-by-step explanation:

3(x+2) -10 = 4x + 6 +x

3x +6 -10 = 5x+6

-10 = 2x

x = -5

One solution

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Given: △ABC; AB=BC, m∠BDA = 60°, BD=4 cm, BD ⊥ BA . Find: DC, AC.
vekshin1

Answer:

DC = 10.93 cm ,  AC = 9.8 cm

Step-by-step explanation:

From trigonometry;

⇒ Tan 60 = AB/BD

⇒AB = BD Tan 60 ( where BD = 4 cm )

⇒ AB = 6.93 cm

Also, AB=BC , therefore;

⇒ BC = 6.93 cm

⇒ Cos 60 = BD/AD

⇒ AD = BD/ Cos 60 = 4/Cos 60

⇒ AD = 8 cm

From Pythagoras theorem;

⇒ AC^{2} = AB^{2} + BC^{2} = (6.93)^{2} + (6.93)^{2}

⇒ AC = \sqrt{96.05} = 9.80 cm

⇒ DC = BD + BC = 4 + 6.93

⇒ DC = 10.93 cm

8 0
3 years ago
Calculate the surface area of a solid box in the shape of a cube with side length 6cm.
eduard

Answer:

216 cm^2

Step-by-step explanation:

A cube has 6 congruent, square faces.

Each face has side length of 6 cm.

The total surface area is the sum of the surface areas of the 6 faces, but since all faces are congruent, the total surface area is

SA = 6s^2

where s = side length

SA = 6 * (6 cm)^2

SA = 6 * 36 cm^2

SA = 216 cm^2

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3 years ago
My state's lottery has 30 white balls numbered from 1 through 30 and 20 red balls numbered from 1 through 20. In each lottery dr
seropon [69]

The three whites:

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The two reds:

(20 choose 1) * (19 choose 1) = 20 * 19


So, The three whites + two reds = 30 * 29 * 28 + 20 * 19 = 24740

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Yeah the answer is -1/6
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Answer:

Number of Significant Figures: 3

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Step-by-step explanation:

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3 years ago
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