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natta225 [31]
3 years ago
13

The sum of 2 consecutive whole numbers is 206. What are the 2 numbers

Mathematics
2 answers:
vlabodo [156]3 years ago
8 0

Answer:

There are no two consecutive whole numbers that sum to 206 (See proof below)

Step-by-step explanation:

let the first number be x

since the numbers are whole and consecutive, the second number must be (x + 1)

we are given that the number sum to 206

hence,

x + (x+1) = 206

x + x + 1 = 206

2x + 1 = 206  (subtract 1 from both sides)

2x = 206 - 1

2x = 205  (divide both sides by 2)

x  = 205/2 = 102.5  (NOT A WHOLE NUMBER)

if x = 102.5, then the second number must be

x + 1 = 102.5 + 1 + 103.5 (ALSO NOT A WHOLE NUMBER)

Anni [7]3 years ago
5 0

Answer:

102.5, 103.5

Step-by-step explanation:

a+a+1=206

2a+1=206

2a=205

a=102.5

103.5

I think there is a bug here. They can't be whole numbers.

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In XYZ, what is the cosine ratio of X?
Wittaler [7]

Answer:

c) 12/15 = 4/5

Step-by-step explanation:

imagine we mirror the triangle up, so that Z is on top.

then you can clearly see that 6 is cos(X) times r (and r is then 7.5).

XY is sin(X)×7.5

and again, 7.5 is r (the line making the X angle).

so, the cosine ratio of X is

6 = cos(X)×7.5

cos(X) = 6/7.5 or then 12/15. or simplified 4/5.

4 0
3 years ago
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Search cos jk and tan jk knowing that sin jk = 8/3
aleksley [76]

Answer:

cosjk = √55 i/3

tanjk = 8/√55 i

Step-by-step explanation:

Given

sin jk = 8/3

According to SOH CAH TOA

Sin theta = opposite/hypotenuse = 8/3

Opposite = 8

hypotenuse = 3

Get the adjacent using the pythagoras theorem

hyp² = opp²+adj²

adj² = hyp² - opp²

adj² = 3² - 8²

adj² = 9-64

adj² = -55

adj = √-55

adj = √55 i (i = √-1)

Get cosjk

cosjk = adj/hyp

cosjk = √55 i/3

Get tanjk

tanjk = opp/adj

tanjk = 8/√55 i

3 0
3 years ago
Can someone help me pls!!!
Cerrena [4.2K]

Answer:

First one: Function

Second one: not a function (a function cannot have two outputs)

Third one: Function

Last one: Not a function (doesn't pass vertical line test)

Step-by-step explanation:

Hope it helps!

6 0
3 years ago
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-2(x+4)=-2(x+4)-6 equations
Musya8 [376]
No solutions, I don’t think there’re any solutions
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3 years ago
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111=13, 113=35, 115=57, 117=?
Elden [556K]
In the pattern, the values are increasing by 22 each time so for the 117th term you take 57 + 22 = 79

So, 117= 79
3 0
3 years ago
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