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LenaWriter [7]
2 years ago
11

Can anyone help. I really need it.

Mathematics
1 answer:
levacccp [35]2 years ago
5 0

Answer:

x+ (x+1) = 55

27, 28

Step-by-step explanation:

Let x = first number

x+1 is the next consecutive number

x+ (x+1) = 55

Combine like terms

2x+1 = 55

Subtract 1 from each side

2x+1-1 = 55-1

2x = 54

Divide by 2

2x/2 = 54/2

x = 27

The numbers are 27 and 28

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Please help me for the love of God if i fail I have to repeat the class
Elena-2011 [213]

\theta is in quadrant I, so \cos\theta>0.

x is in quadrant II, so \sin x>0.

Recall that for any angle \alpha,

\sin^2\alpha+\cos^2\alpha=1

Then with the conditions determined above, we get

\cos\theta=\sqrt{1-\left(\dfrac45\right)^2}=\dfrac35

and

\sin x=\sqrt{1-\left(-\dfrac5{13}\right)^2}=\dfrac{12}{13}

Now recall the compound angle formulas:

\sin(\alpha\pm\beta)=\sin\alpha\cos\beta\pm\cos\alpha\sin\beta

\cos(\alpha\pm\beta)=\cos\alpha\cos\beta\mp\sin\alpha\sin\beta

\sin2\alpha=2\sin\alpha\cos\alpha

\cos2\alpha=\cos^2\alpha-\sin^2\alpha

as well as the definition of tangent:

\tan\alpha=\dfrac{\sin\alpha}{\cos\alpha}

Then

1. \sin(\theta+x)=\sin\theta\cos x+\cos\theta\sin x=\dfrac{16}{65}

2. \cos(\theta-x)=\cos\theta\cos x+\sin\theta\sin x=\dfrac{33}{65}

3. \tan(\theta+x)=\dfrac{\sin(\theta+x)}{\cos(\theta+x)}=-\dfrac{16}{63}

4. \sin2\theta=2\sin\theta\cos\theta=\dfrac{24}{25}

5. \cos2x=\cos^2x-\sin^2x=-\dfrac{119}{169}

6. \tan2\theta=\dfrac{\sin2\theta}{\cos2\theta}=-\dfrac{24}7

7. A bit more work required here. Recall the half-angle identities:

\cos^2\dfrac\alpha2=\dfrac{1+\cos\alpha}2

\sin^2\dfrac\alpha2=\dfrac{1-\cos\alpha}2

\implies\tan^2\dfrac\alpha2=\dfrac{1-\cos\alpha}{1+\cos\alpha}

Because x is in quadrant II, we know that \dfrac x2 is in quadrant I. Specifically, we know \dfrac\pi2, so \dfrac\pi4. In this quadrant, we have \tan\dfrac x2>0, so

\tan\dfrac x2=\sqrt{\dfrac{1-\cos x}{1+\cos x}}=\dfrac32

8. \sin3\theta=\sin(\theta+2\theta)=\dfrac{44}{125}

6 0
3 years ago
Two stores sell the same refrigerator for the same original price. Store A advertises that the refrigerator is on sale for 15% o
andrew-mc [135]
I'm not sure about the answer, but this is how I would do it, since 15% and $150 are the same based on the question. do let me know if it's right! :)

3 0
3 years ago
I FREEking need help on this! You will get some POINTS for it ∵
omeli [17]

What do you need help on? All I see is a y axis and x axis grid.

4 0
2 years ago
What is the number pie
MakcuM [25]

You meant pi, pi is a irrational number, but they use 3.14 for approximation, so that is your answer.

Hope this helped!

Nate

3 0
3 years ago
Read 2 more answers
I need help with this (simplify 8^3)
sattari [20]

Answer:

512

Step-by-step explanation:

8 = 2^3

Therefore,

8^3  

= (2^3)^3

= 2^(3*3)

= 2^9

= 512

Thus, 8^3 = 512

<h2>Please mark my answer as Brainliest!!!</h2>
5 0
3 years ago
Read 2 more answers
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