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monitta
3 years ago
5

Why are all 4-digit Fredholl numbers composite?

Mathematics
1 answer:
GaryK [48]3 years ago
6 0
Fredholl numbers are number, which have 2 different digits, equal number of each one, and zero cannot be the first digit. Some examples of fredholl numbers are: 355533 and 4141.
233233, 535351 or 055050 are not fredholl numbers. 

In case of 4 digit numbers let's look at the possible forms of Fredholl numbers:

They have to be one of the following: xxyy, xyxy, xyyx 
We can write above numbers as:
xxyy= x*1100 + y*11 = x*11*100 + y*11 = 11 (100x+y) xyxy= x*1010 + y*101 = x*101*10 + y*101 = 101 (10x+y) xyyx=x*1001 + y*110 = x*11*91 + y*11*10 = 11 (91x+10y)

All 4-digit Fredholl numbers are composite because they will be divisible by either 11 or 101. 
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S = 9C
first sentence written as an expression
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definition of supplementary allows me to make this statement Where A is the original angle
A + C = 90
definition of complimentary allows this statement
now add the prior 2 statements together
A + S + A + C = 180 + 90
now simplify
2A + S + C = 270
now replace S with 9C using first statement
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now simplify
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now divide both sides by 2
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now using the second statement isolate A by adding C to both sides
A = 90 - C
now combine the two prior statements
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now simplify
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now subtract 90 from both sides
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now take the third equation and substitute in C
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now subtract 11.25 from both sides
A = 78.75
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3 years ago
Evaluate the function f(x)=2x-2, when x=-1
sertanlavr [38]
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4 0
3 years ago
Read 2 more answers
What is sin B? <br> 15/17 <br> 8/17 <br> 12/17 <br> Not enough information
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Use Pythagorean’s Theorem to solve for the opposite side

15^{2} +b^{2}=17^{2}  \\225 + b^{2} =289\\b^{2} =64\\b=8

The opposite side is equal to 8

So sinB = 8/17

*look at attached photo for work

8 0
3 years ago
One angle of a triangle measures 100°. the other two angles are in a ratio of 3:5. what are the measures of those two angles?\
Kipish [7]
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In short, Your Answer would be 30 & 50

Hope this helps!
3 0
3 years ago
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