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denpristay [2]
3 years ago
6

One number is 5 times another. If their difference is 96, find the numbers.

Mathematics
1 answer:
earnstyle [38]3 years ago
4 0

Answer:24

Step-by-step explanation:

24*5=120.

So the difference between 120-24=96.

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Explain how to do the problem -3x - 11 = 10
babymother [125]

Answer: x = -7

Step-by-step explanation: to do the problem -3x - 11 = 10, first separate the x from everything else, except the -3. To do this, you have to get rid of the 11, and since it is negative, you have to add it to both sides of the equation. This gets rid of the 11 on the left side, and adds 11 to the right side, making the right side equal 21. Last, divide -3 from both sides to get x on the left, and -7 on the right. This makes x = -7

8 0
3 years ago
Sinx + siny=a<br> cosx + cosy=b<br> Find cos(x+y/2)
romanna [79]

Using the addition rule of the Sine function and the Cosine function, we obtain \cos\dfrac{x+y}{2}=\dfrac{b}{\sqrt{a^2+b^2}}.

<h3>What are the formulas for (sin x + sin y) and (cos x + cos y)?</h3>
  • The formula for the addition of two Sine functions (\sin x+\sin y) is \sin x + \sin y = 2\sin\frac{x+y}{2}\cos\frac{x-y}{2}.
  • The formula for the addition of two Cosine functions (\cos x+\cos y) is \cos x + \cos y = 2\cos\frac{x+y}{2}\cos\frac{x-y}{2}.

Given that

\sin x + \sin y = a\\\cos x + \cos y = b

Then using the above formulas, we get:

2\sin\frac{x+y}{2}\cos\frac{x-y}{2}=a       (1)

2\cos\frac{x+y}{2}\cos\frac{x-y}{2}=b       (2)

Dividing the equation (1) by (2), we get:

\dfrac{\sin\dfrac{x+y}{2}}{\cos\frac{x-y}{2}}=\dfrac{a}{b}\\\Longrightarrow \tan\dfrac{x+y}{2}=\dfrac{a}{b}             (3)

Now, we know that  \cos\theta=\dfrac{1}{\sqrt{1+\tan^2\theta}}.

Thus, using the above formula, we get from (3):

\cos\dfrac{x+y}{2}=\dfrac{1}{\sqrt{1+\tan^2\dfrac{x+y}{2}}}\\\Longrightarrow \cos\dfrac{x+y}{2}=\dfrac{1}{\sqrt{1+\dfrac{a^2}{b^2}}}\\\Longrightarrow \cos\dfrac{x+y}{2}=\dfrac{b}{\sqrt{a^2+b^2}}

Therefore, using the addition rule of the Sine function and the Cosine function, we obtain \cos\dfrac{x+y}{2}=\dfrac{b}{\sqrt{a^2+b^2}}.

To know more about Sine and Cosine functions, refer: brainly.com/question/27728553

#SPJ9

3 0
2 years ago
Find the volume of the cylinder
N76 [4]

Answer: wouldn't be 1608.5? let me know if im wrong.

V = πr^2 h= π · 8^2 · 8 ≈ 1608.49544

7 0
3 years ago
Read 2 more answers
To own and operate a poster printer, it costs $250 for the printer and an additional $0.20 per poster for ink. To print out post
NARA [144]

Answer:

312.5

Step-by-step explanation:

Since it is $250 plus 20 cents per poster, the equation is 0.20p+250. It is $1 per poster at store and you want to know when the cost is going to be the same so you set them equal to each other.

0.20p+250=p

250=0.80p

312.5=p

6 0
3 years ago
434543645445 x 536436345363<br> please help my college teacher want's me to do this hurry asap.
Luba_88 [7]

Answer:

2.3310501e+23

Step-by-step explanation:

i dunno i googled it

6 0
3 years ago
Read 2 more answers
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