A mom mixes 9 oz of juice and adds 3 oz of water. What percent of the drink is juice?

Answer:

Option (3)

Step-by-step explanation:

[tex]\text{tan}(\frac{\theta}{2})=\text{sin}\theta[/tex]

[tex]\text{tan}(\frac{\theta}{2})=2\text{sin}{\frac{\theta}{2}} \text{cos}(\frac{\theta}{2})[/tex]

[tex]\frac{\text{sin}\frac{\theta}{2}}{\text{cos}\frac{\theta}{2}} =2\text{sin}{\frac{\theta}{2}}\text{cos}(\frac{\theta}{2})[/tex]

[tex]\text{sin\frac{\theta}{2}}=2\text{sin}{\frac{\theta}{2}}\text{cos}^2(\frac{\theta}{2})[/tex][tex]\text{sin\frac{\theta}{2}}=2\text{sin}{\frac{\theta}{2}}\text{cos}^2(\frac{\theta}{2})[/tex][tex]\text{sin}\frac{\theta}{2}=2\text{sin}{(\frac{\theta}{2})}\text{cos}^2(\frac{\theta}{2})[/tex]

[tex]\text{sin}\frac{\theta}{2}-2\text{sin}{(\frac{\theta}{2})}\text{cos}^2(\frac{\theta}{2})=0[/tex]

[tex]\text{sin}\frac{\theta}{2}[1-2\text{cos}^2(\frac{\theta}{2})]=0[/tex]

[tex]\text{sin}\frac{\theta}{2}=0[/tex] ⇒ [tex]\theta=0[/tex]

[tex]1-2\text{cos}^2(\frac{\theta}{2})=0[/tex]

[tex]\text{cos}(\frac{\theta}{2})=\frac{1}{\sqrt{2}}[/tex]

[tex]\frac{\theta}{2}=\frac{\pi}{4}[/tex]

[tex]\theta=\frac{\pi}{2}[/tex]

Therefore, θ = 0 and [tex]\frac{\pi}{2}[/tex] are the solutions.

Option (3) will be the answer.

Answer: Sin θ =

Step-by-step explanation:

In the figure attached, ABC is a right angle triangle.

Sides of this triangle are AB = 12 BC = 5 and CA = 13

Angle opposite to the side having length = 12 is θ.

Now we have to calculate sin θ.

Since Sinθ =

=

Therefore, ratio which represents sinθ will be

Step-by-step explanation:

Answer:

322.19

Step-by-step explanation:

RECTANGLE AREA =L × B

=12 × 8

AREA OF CIRCLES= 4(1/2×PIE×6×6)

TOTAL AREA= 12 × 8+ 4(1/2×PIE×6×6)

=322

HOPE IT HELPSS!!

Answer:

0

Step-by-step explanation:

xyz(-6-11+17)

xyz(0)

Answer:

The line '10x-8=10' should be '10x-8=4x+10'

He took 2x away on the right side , as opposed to adding it.

Answer:

Thank you for the point

Step-by-step explanation:

I am just doing this for points Sorry

Answer:

44,000 feet

Step-by-step explanation:

one mile equals 5280 feet so then you take 8 1/3 * 5280 = 44000 feet

Answer: b

Step-by-step explanation:

Answer:

The answer is 8 purses

Step-by-step explanation:

If we multiply 36 by 8, we get $288. If we multiplied 36 by 8 we must also multiply 10 by 8 because it cost 10 dollars on one purse. So y=10(8)+208, y=288

Answer:

8 is correct.

Step-by-step explanation:

Answer:

[tex]P(X\geq 1)= 1 - 0.0497 8 =0.95022[/tex]            

Step-by-step explanation:

Step(i):-

Let 'X' be the random variable in Poisson distribution

Mean of the Poisson distribution λ or ∝ = 3 per  (cm³)

Given n = 5 samples

[tex]P(X=r) = \frac{e^{-\alpha }\alpha ^{r} }{r!}[/tex]

Step(ii):-

The probability that at least one sample will contain one or more bacterial colonies

P(X≥1)    = 1-P(X< 1)

             = 1 - P( X=0)

[tex]P(X\geq 1)= 1 - \frac{e^{-\alpha }\alpha ^{r} }{r!}[/tex]

[tex]P(X\geq 1)= 1 - \frac{e^{-3 }3 ^{0} }{0!}[/tex]

[tex]P(X\geq 1)= 1 - 0.0497 8 =0.95022[/tex]            

Answer:

im not sure to be honest

Step-by-step explanation:

Answer:

The value of b is 5 if the parallelogram is a rectangle

Step-by-step explanation:

Mathematically, the diagonals of a rectangle are equal in value

Thus, for the given expressions to represent the diagonals of a rectangle, the two must be equal

To get the value of b that makes the two equal, we simply equate the two expressions

We have this as;

10/12(24b/5 - 36/5) = 2/3 (3b + 6)

opening the brackets, we have;

4b - 6 = 2b + 4

4b - 2b = 4 + 6

2b = 10

b = 10/2

b = 5

48 points gained in those 3 days.

Subtract 220 with 48, then add 96. Last step would be subtracting 220 with the amount they have now in those 3 days to find how much points the stock market gained in those 3 days.

Subtract 220-48.It‘ll be 172.

Add 172 with 96. 172+96=268.

Subtract 268 with how much points the stock market had 3 days ago. 268-220.

Sot eh stock market gained 48 points in 3 days.

Answer:

It would be equal to 15 - (18)

Answer:

it would actually be (B)

Hope this helps!

Answer:

k<5

Step-by-step explanation:

All you have to do is divide 2 on each side.

2k < 10

/2    /2

k < 5

I hope this helps, and have a great day! :)

Answer(s):

[tex]\displaystyle y = 2sin\:(x + \frac{\pi}{2}) - 2 \\ y = 2cos\:x - 2[/tex]

Explanation:

[tex]\displaystyle y = Asin(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow -2 \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \hookrightarrow \boxed{-\frac{\pi}{2}} \hookrightarrow \frac{-\frac{\pi}{2}}{1} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{2\pi} \hookrightarrow \frac{2}{1}\pi \\ Amplitude \hookrightarrow 2[/tex]

OR

[tex]\displaystyle y = Acos(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow -2 \\ Horisontal\:[Phase]\:Shift \hookrightarrow 0 \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{2\pi} \hookrightarrow \frac{2}{1}\pi \\ Amplitude \hookrightarrow 2[/tex]

You will need the above information to help you interpret the graph. First off, keep in mind that although this looks EXACTLY like the cosine graph, if you plan on writing your equation as a function of sine, then there WILL be a horisontal shift, meaning that a C-term will be involved. As you can see, the photograph on the right displays the trigonometric graph of [tex]\displaystyle y = 2sin\:x - 2,[/tex] in which you need to replase "cosine" with "sine", then figure out the appropriate C-term that will make the graph horisontally shift and map onto the cosine graph [photograph on the left], accourding to the horisontal shift formula above. Also keep in mind that the −C gives you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so you must be careful with your calculations. So, between the two photographs, we can tell that the sine graph [photograph on the right] is shifted [tex]\displaystyle \frac{\pi}{2}\:unit[/tex] to the right, which means that in order to match the cosine graph [photograph on the left], we need to shift the graph BACK [tex]\displaystyle \frac{\pi}{2}\:unit,[/tex] which means the C-term will be negative, and perfourming your calculations, you will arrive at [tex]\displaystyle \boxed{-\frac{\pi}{2}} = \frac{-\frac{\pi}{2}}{1}.[/tex] So, the sine graph of the cosine graph, accourding to the horisontal shift, is [tex]\displaystyle y = 2sin\:(x + \frac{\pi}{2}) - 2.[/tex] Now, with all that being said, in this case, sinse you ONLY have a graph to wourk with, you MUST figure the period out by using wavelengths. So, looking at where the graph hits the origin [tex]\displaystyle [0, 0],[/tex] from there to [tex]\displaystyle [2\pi, 0],[/tex] they are obviously [tex]\displaystyle 2\pi\:units[/tex] apart, telling you that the period of the graph is [tex]\displaystyle 2\pi.[/tex] Now, the amplitude is obvious to figure out because it is the A-term, but of cource, if you want to be certain it is the amplitude, look at the graph to see how low and high each crest extends beyond the midline. The midline is the centre of your graph, also known as the vertical shift, which in this case the centre is at [tex]\displaystyle y = -2,[/tex] in which each crest is extended two units beyond the midline, hence, your amplitude. So, no matter how far the graph shifts vertically, the midline will ALWAYS follow.

I am delighted to assist you at any time.

The value of x is 20.

There are three commonly used trigonometric identities.

Sin x = Perpendicular / Hypotenuse

Cosec = Hypotenuse / Perpendicular

Cos x = Base / Hypotenuse

Sec x = Hypotenuse / Base

Tan x = Perpendicular / Base

Cot x = Base / Perpendicular

We have,

Sin 30 = 10 / x ______(10

We know that,

Sin 30 = 1/2 _____(2)

So,

Substituting (2) in (1).

1/2 = 10/x

x = 10 x 2

x = 20

Thus,

The value of x is 20.

Learn more about trigonometric identities here:

https://brainly.com/question/14746686

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Answer: the answr is b because its divisble

Step-by-step explanation:

Answer:

SAS

Step-by-step explanation:

the right angles are congruent

the pairs of sides are proportional

Answer:

y=-1

x=-3

Step-by-step explanation:

Answer:

i think another name for angel 2 is CBD or DBC i ain't sure

Step-by-step explanation:

Answer:

It would cost $21.84

Step-by-step explanation:

Becasue you first figure out how much one book mark cost and one costs 0.78. Then you just multiply 0.78 by 28(total amount of classmates.) Hope that helps:)

Answer:

Step-by-step explanation:

3/4x3=9/4

Answer:

2 1/4

Step-by-step explanation:

3/4+3/4=1 2/4

1 2/4+3/4=2 1/4

Answer:

ANSWER IS 70!

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

you do step by step math and after you do that you will get 10

Answer:

10

Step-by-step explanation:

Answer:

t=(-13)

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

12t−8t=−52

12t+−8t=−52

(12t+−8t)=−52(Combine Like Terms)

4t=−52

4t=−52

Step 2: Divide both sides by 4.

4t /4 = −52 /4

Answer:

t = -13

Step-by-step explanation:

12t - 8t = -52

Combine like terms: 12t - 8t = 4t

4t = -52

divide both sides by 4

4t/4 = -52/4

t = -13

Answer:(4)

Step-by-step explanation:

1/2=x/8 cross multiply and you come up with 8 divided by 2 = 4