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3 years ago

How many numbers of at least three digits can be formed from the indegers 1,2,3,4,5,6

Mathematics

1 answer:

bija089 [108]3 years ago

8 0

Answer:

The answer is 1920, right? Here is how-

The numbers must contain at least three digit and can go above that which means the answer has 3 4 5 and 6 digits all together.

For three digits , there will be 6*5*4 = 120

For 4 Digits, There will be 6*5*4*3=360 possible numbers

For 5 digits , there will be 6*5*4*3*2 = 6! = 720

For 6 digits, there will be 6*5*4*3*2*1 = 6! = 720

<Note- the digits are non repeating as the question said it to be “different digits” >

Now add them up = 120+360+2*720 = 1920

Step-by-step explanation:

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Find the m∡B to the nearest tenth of a degree if cos B = 0.8926 and ∡B is an acute angle

mrs_skeptik [129]

Answer:

26.8°

Step-by-step explanation:

The cosine of an angle is the ratio of the adjacent side of the triangle in which the angle is formed to the hypotenuses side of the triangle. The cosine of the angle gives the ratio of these sides. However, the arc cosine of the ratio gives the angle measured in degrees.

If cos B = 0.8926

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3 years ago

Solve for x.<br> 2x² +21x-61 = (x+7)²<br><br> Please

Ymorist [56]

Answer:

$x = \frac{-7 +\sqrt{489} }{2}$

$x = \frac{-7 - \sqrt{489} }{2}$

Step-by-step explanation:

2x² +21x-61 = (x+7)²

expand

2x² + 21x - 61 = x² + 14x +49

move everything to one side

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use quadratic formula

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plug in the values

$x = \frac{-7 +- \sqrt{7^{2}-4(1)(-110) } }{2(1)}$

solve

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$x = \frac{-7 +- \sqrt{489} }{2}$

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2 years ago

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3 years ago

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Answer:
5X + 8Y >= 300; intersection at (-20, 50)
Step-by-step explanation:
let t = work hours
0 < t < 30
X = time lawn mowing
Y = time babysitting.
X + Y < 30
5X + 8Y >= 300
We could solve...
X < 30 - Y
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150 - 5Y + 8Y >= 300
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Y >=50
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3 years ago

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3 years ago

How many numbers of at least three digits can be formed from the indegers 1,2,3,4,5,6​

How many numbers of at least three digits can be formed from the indegers 1,2,3,4,5,6