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Airida [17]
3 years ago
14

Find the value of the combination. 21 C 3 7,980 2,660 1,330

Mathematics
1 answer:
erik [133]3 years ago
4 0
To evaluate the combination we proceed as follows:
21C3
Given nCk we shall have:
n!/[(n-k)!k!]
thus plugging the values in the expression we get:
21!/[(21-3)!3!]
=21!/(18!×3!)
=1330
Answer: 1330
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Answer:

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Step-by-step explanation:

7 0
3 years ago
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earnstyle [38]

Answer:

\angle 1 = 45 degrees

Step-by-step explanation:

Sum of 3 angles in a triangle is 180..

The angles given are:

60

7x + 12

1

So we sum to 180 and write:

60+7x+12+\angle 1=180\\72+7x+\angle 1=180\\7x+\angle 1=108

Also, straight angle is 180 degrees, thus Angle 1 and (14x + 9) angle is sum to 180, thus we can write:

14x+9+\angle 1=180\\14x + \angle 1=171

Or we can write this as:

14x + \angle 1=171\\\angle 1 = 171 - 14x

We substitute this expression for Angle 1 into 1st equation we got and solve for x first,

7x+\angle 1 = 108\\7x+( 171 - 14x)=108\\-7x=-63\\x=9

Since x = 9, the angle "14x + 9" would be:

14(9) + 9 = 135

Hence Angle 1 would be:

\angle 1 + 14x + 9 = 180\\\angle 1 + 135 = 180\\\angle 1 = 45

6 0
2 years ago
Find the valid value(s) for x:<br> x2 +5x+6<br> = 1<br> x+3
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Answer:

x=-1

Step-by-step explanation:

x+3≠0

x≠-3

x²+5x+6=x+3

x²+5x+6-x-3=0

x²+4x+3=0

x²+x+3x+3=0

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(x+1)(x+3)=0

x+3≠ 0

so x+1=0

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3 years ago
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7 0
3 years ago
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What are the zeros of the quadratic expression 3x2 - 6x - 24?
sammy [17]

Answer:

3(x−4)(x+2)

Step-by-step explanation:

7 0
3 years ago
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