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3 years ago

BRAINLIEST TO THE CORRECT ANSWER! 20 POINTS!!

Mathematics

2 answers:

Aleonysh [2.5K]3 years ago

7 0

Answer:

1one is incorrect answer for this question

Katyanochek1 [597]3 years ago

5 0

Answer:

This might not help a lot but it's either A or B though i bet it's B

Step-by-step explanation:

wish i could help more sorry :(

You might be interested in

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

Bonnie deposits 70.00 into her savings. There is 4.5 simple interest. She didn't change the amount for her three years. What is

Hitman42 [59]

Answer:

The answer is $79.45

Step-by-step explanation:

If the given 4.5 percent interest rate is a yearly rate then according to the information in the question, we can calculate Bonnie's money at the end of the three year period as:

The initial amount x interest rate x time = 70 x 0.045 x 3 = $9.45

So the amount of money after the three year period comes up to $79.45 for Bonnie.

I hope this answer helps.

4 0

3 years ago

Read 2 more answers

Please help i really need help

lukranit [14]

9514 1404 393

Answer:

17/99

Step-by-step explanation:

Replace the digits 23 in your example with the digits 17 and you have your answer:

$0.\overline{17}=\dfrac{17}{99}$

_____

In general, a 2-digit repeat will have 99 as its denominator. If the digits are a multiple of 3 or 11, then the fraction can be reduced. 17 is prime, so the fraction cannot be reduced.

3 0

3 years ago

4. Use information in the figure below to find M/_ D

shtirl [24]

Answer:

Step-by-step explanation:

Since DF = EF then the triangle is isosceles with base angle being congruent, that is

∠ D = ∠ E , then

∠ D = $\frac{180-133}{2}$ = $\frac{47}{2}$ = 23.5°