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vlada-n [284]
3 years ago
5

Need Helpppp :) Appropriate Answers Only

Mathematics
2 answers:
enyata [817]3 years ago
6 0
Hello,
Please, see the detailed solution in the attached file.
Thanks.

zhannawk [14.2K]3 years ago
4 0
1) You have:
 Cos(50°)=adjacent/hypotenuse
 Cos(50°)=XY/8
 Solve for XY:
 XY=8Cos(50°)
 XY=8 cm
 The answer is 8 cm

 
2)The angle m∠A is:
 Cos^-1(m∠A)=8/15
 m∠A=57.76°

 The angle m∠C is:
 Sin⁻1(m∠C)=8/15
 m∠C=32.23°

 The approximate difference is:
 m∠A-m∠C≈25.53°

 The answer is: The approximate difference between m∠A and m∠C is 25.53°.
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N is a positive integer
Murrr4er [49]

Part (1)

n is some positive integer. Let's say for now that n is even. So n = 2k, for some integer k

This means n-1 = 2k-1 is odd since subtracting 1 from an even number leads to an odd number.

Now multiply n with n-1 to get

n(n-1) = 2k(2k-1) = 2m

where m = k(2k-1) is an integer

The result 2m is even showing that n(n-1) is even

------------

Let's say that n is odd this time. That means n = 2k+1 for some integer k

And also n-1 = 2k+1-1 = 2k showing n-1 is even

Now multiply n and n-1

n(n-1) = (2k+1)(2k) = 2k(2k+1) = 2m

where m = k(2k+1) is an integer

We've shown that n(n-1) is even here as well.

------------

So overall, n(n-1) is even regardless if n is even or if n is odd.

Either n or n-1 will be even. If you multiply an even number with any number, the result will be even.

=======================================================

Part (2)

n is some positive integer

2n is always even since 2 is a factor of 2n

2n+1 is always odd because we're adding 1 to an even number. The sequence of integers goes even,odd,even,odd, etc and it does this forever.

-----------

Another way to see how 2n+1 is odd is to divide 2n+1 over 2 and you'll find that we get (2n+1)/2 = 2n/2+1/2 = n+0.5

The 0.5 at the end is not an integer, so there's no way that (2n+1)/2 is an integer; therefore 2n+1 is odd.

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3 years ago
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konstantin123 [22]

Answer:

y =  - 10

Step-by-step explanation:

24 + 6y = -36 \\ 6y = -36 - 24 \\ 6y =  - 60 \\ y =   - \frac{60}{6}  \\ y =  - 10

5 0
3 years ago
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Answer:

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