Given: sin theta=2/3 and is in the second quadrant; evaluate the following expression. sin 2 theta

Answers

Answer 1

Answer:The answer to your question is 3. 0

Step-by-step explanation:

Process

1.- Find the cos a

  Opposite side = 5

  Hypotenuse = 13

  Adjacent side = ?

  Adjacent side² = 13² - 5²

                          = 169 - 25

                          = 144

 Adjacent side = 12

cos a = 12/13

2.- Find the sin b

sin b = 5/13

3.- Use the formula below to find sin(a + b)

              sin (a + b) = sina cosb  + sin b cos a

- Substitution

              sin (a + b) = (5/13)((-12/13) + (5/13)/12/13)

- Simplification

              sin (a + b) = -60/169 + 60/13

- Result

              sin(a + b) = 0                        

Step-by-step explanation:


Related Questions

Provide the missing statement and reasons for the following proof:

Answers

Answer:

I need more points

the picture is very blurry

PLEASE ANSWER THIS
a)Convert 0.25 as fraction
b)Write ¹⁹⁄₂₀ in Decimal Form
Please Answer Ill Rate U 5/5 And Thank U

Answers

Answer:

a) 1/4

b) 0.95

Step-by-step explanation:

0.25 is 25/100, which is 1/4

19/25 is 95/100, which is 0.95

Hi am here spidey taylor​

Answers

Answer:

this is my another account on brainly

Find the difference of 2/3 and 3/5.

Answers

Answer:

1/15

Step-by-step explanation:

2/3*5/5 - 3/5*3/3( we are multiplying and dividing by the same number in order to get the same denominator. as 5/5 = 1 and 3/3= 1)

2/3*5/5 - 3/5*3/3

= 10/15-9/15

= 1/15

Over what interval is the function decreasing?

PLS HELP. (step by step explanation preferred. )

Answers

Step-by-step explanation:

according to the drawing, the minimum value of the function is 0, the domain of the function decreasing is x < 0,

so, the correct answer is

a. (-oo, 0)

A gem store in Fort Lauderdale
received a shipment of 13 pounds of moonstone
crystals. If these moonstone crystals were
separated into 6 equal bags, how much would
each bag weigh

Answers

The answer to this question would be 2.17 pounds because 13/6=2.16666 and rounded would be 2.17

Which equation in standard form has a graph that passes through the point (15,3) and has a slope of ¼?

Answers

Answer:

2y - 9x - 40 = 0

Step-by-step explanation: i already done the test

 50, 25, 12.5….
What is the geometric sequence and what is the 8th and 10th term

Answers

the common ratio can be found by dividing any term by the previous one.

clearly r = -1/2

So, Tn = -100 (-1/2)^(n-1) = 200/(-2)^n

robby raises holstein and jersey cows on his farm in the ratio of 7:5 if he has a total of 48 cows on his farm how many holstein cows does he own?

Answers

Answer:

28

Step-by-step explanation:

The total amount of cows is 48 and is split into 12 groups (7+5).

So 1 group is 48÷12=4

1 group=4

He owns 7 groups of Holstein cows.

So if 1 group is 4, 7 groups is 7x4=28.

28

The number of Holstein cows, if The ratio of Holstein and jersey cows is 7:5, and the Total number of cows is  48, is 28.

What is ratio?

It is the contrast of two different quantities. For instance, if your father weighs 90 kg, and you weigh 30 kg, the weight ratio is 1:3. If b is not equal to 0, an ordered pair of numbers a and b, denoted as a / b, is a ratio. A proportion is an equation that equalizes two ratios.

Given:

The ratio of Holstein and jersey cows is 7:5,

Total number of cows = 48

Calculate the values as shown below,

Assume the number of Holstein cows is 7x

7x + 5x = 48

12x = 48

x = 4

Thus, the number of Holstein cows is 7 × 4 = 28

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The cube of the cubic fish tank is 27 cubic feet what is the height of the fish tank

Answers

Answer:

ITS 9

Step-by-step explanation: i just had to divide the 27 by 3 because if its a cube cubes are the same hieght langth and width of each other so it is 9

I need help guys please
i will be thankful

Answers

Answer:

16.94 cm

Step-by-step explanation:

2x+10y=20 and passes through (2,3)

Answers

Answer:

No, it doesn't pass through

Step-by-step explanation:

As, if we put the value (2,3) in the equation then,

2x + 10y = 20

=> 2(2) + 10(3) = 20

=> 4 + 30 = 20

=> 34 ≠ 20

Hence,

2x+10y=20 does not pass through (2,3)

16⎯⎯⎯⎯√ – (14 + 2) : 2

Answers

Answer:

Our square root calculator estimates the square root of any positive number you want. Just enter the chosen number and read the results.

Step-by-step explanation:

Hi could someone please help me thank you

Answers

Answer:

f(x) = 25 * 1.25ˣ

Step-by-step explanation:

Use Desmos

Search it up

What's 9 + 10 ㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ

Answers

Answer:

19

Step-by-step explanation:

9 + 10 = 19

Answer:

19

Step-by-step explanation:

21

What is the range of the following relation?

Answers

Answer:

The range is the y-values that satisfices the graph.  0 to  all negative  numbers.

Step-by-step explanation:

The graph highest value is 0 on the y-axis and goes down ( any negative numbers).

Anybody? need help asap

Answers

Answer:

x = -1

Step-by-step explanation:

5x + 3 -2x = 2(x + 1) >>> Simplify by combining terms

3x + 3 = 2x + 2 >>> Subtract 2x and 3 from both sides

x = -1

3 • f (-4) -3 • g (-2)=

Answers

Answer:

F=g^2+6

Step-by-step explanation:

Simplify:

1. Assume you need to multiply the variables by the numbers next to them:

[tex]3 * f (-4) - 3 * g (-2)=-12f + 6g[/tex]

2. Assume the number next to the variables mean exponents:

[tex]3 * f ^{-4} - 3 * g^{-2}=3/f^4-3/g^2=3(g^2-f^4)/f^4g^2[/tex]

Internet rates for two companies are shown in the table. After how many months of
service is the total cost the same no matter which company is used? What is this total
cost?
Intemet Service Provide
Charges

Tyson's Ethernet $100 activation fee plus $20 per month

Darriana's DSL
$30 per month


A 10 months, $300

B 20 months, $600

C 30 months, $700

D 2 months, $60

Answers

100+(20×10)=300

30×10 =300

months = 10

The total cost becomes the same after 20 months of service, and the total cost is $600.

To find out when the total cost becomes the same for both companies, we need to compare their cumulative costs over time.

Tyson's Ethernet has an activation fee of $100 plus $20 per month, while Darriana's DSL costs $30 per month.

Let's set up equations for both companies:

For Tyson's Ethernet:

Total cost = Activation fee + Monthly charges

Total cost = $100 + ($20/month) * months

For Darriana's DSL:

Total cost = Monthly charges

Total cost = ($30/month) * months

We want to find when these two total costs are equal:

$100 + ($20/month) * months = ($30/month) * months

Now we can solve for the number of months:

$100 + ($20/month) * months = ($30/month) * months

$100 = ($30/month - $20/month) * months

$100 = $10/month * months

months = $100 / $10

months = 10

So, it takes 10 months for the costs to be equal. Now let's find the total cost at that point:

Total cost = ($30/month) * months

Total cost = ($30/month) * 20 months

Total cost = $600

Therefore, after 20 months of service, the total cost is the same for both companies, and the total cost is $600.

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PLEASE HELP QUICK!!!!!!

What is the simplified form of ^6√x ⋅ ^6√x ⋅ ^6√x ⋅ ^6√x ?

A) x^2/3
B) x^3/2
C) 4 ^6√x
C) ^6√4x

Answers

Answer: C i thinkg i could be rong but thats my answer i didnt use a claculater so not sure

Step-by-step explanation:

Tomika opened a bank account. She deposited $75 each
month for 10 months. Her bank charged her $3 each
month to use the account.

How much money is in Tomika's account after 10 months?

No links plsss

Answers

[tex]\bigstar\boxed{\large\sf\purple{\leadsto D ) \$720}}[/tex]

__________________________________________

[tex]\large\sf{\underline{Given:}}[/tex]

➠ Tomika deposited $75 each month for 10 months in her bank ➠ Her bank charged her $3 each month to use tha account

[tex]\large\sf{\underline{To\:find:}}[/tex]

How much money is in Tomika's account after 10 months?

_______________________________________

[tex]\large\sf{\underline{Therefore:}}[/tex]

❒ Total amount of money deposited in 10 months :

‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎[tex]\sf{\longrightarrow 75\times 10}[/tex]

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎

‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎[tex]\sf{\longrightarrow \$750}[/tex]

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎

❒ Total amount of mony charged by the bank in 10 months :

‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎[tex]\sf{\longrightarrow 3\times 10}[/tex]

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎

‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎[tex]\sf{\longrightarrow \$30}[/tex]

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎

❒ Total amount of money left in Tomika's account after 10 months :

‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎[tex]\sf{\longrightarrow 750-30}[/tex]

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎

‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎[tex]\sf{\longrightarrow \$720}[/tex]

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎

Answer:

720

Step-by-step explanation:

using de moivre's theorem to find square roots of (2-2√ 3 i) ​

Answers

Let z = 2 - 2√3 i. In polar form, we have

[tex]z = |z| e^{i\arg(z)}[/tex]

where

[tex]|z| = |2-2\sqrt3| = \sqrt{2^2 + (-2\sqrt3)^2} = 4[/tex]

[tex]\arg(z) = \tan^{-1}\left(-\dfrac{2\sqrt3}2\right) = -\tan^{-1}(\sqrt3) = -\dfrac\pi3[/tex]

Equivalently,

[tex]z = 4\left(\cos\left(-\dfrac\pi3\right) + i\sin\left(-\dfrac\pi3\right)\right)[/tex]

Let w be a complex number such that w ² = z. By DeMoivre's theorem,

[tex]z = 4\left(\cos\left(-\dfrac\pi3\right) + i\sin\left(-\dfrac\pi3\right)\right) \\\\ \implies z^{1/2} = 4^{1/2} \left(\cos\left(\dfrac{-\frac\pi3+2k\pi}{2}\right) + i \sin\left(\dfrac{-\frac\pi3+2k\pi}{2}\right)\right)[/tex]

where k ∈ {0, 1}. So the two square roots of z are

[tex]z^{1/2} = \begin{cases}2\left(\cos\left(-\dfrac\pi6\right) + i\sin\left(-\dfrac\pi6\right)\right) & \text{for }k=0 \\\\ 2\left(\cos\left(\dfrac{5\pi}6\right) + i\sin\left(\dfrac{5\pi}6\right)\right) & \text{for }k=1\end{cases}[/tex]

[tex]z^{1/2} = \begin{cases}2\left(\dfrac{\sqrt3}2 - \dfrac12 i\right) & \text{for }k=0 \\\\ 2\left(-\dfrac{\sqrt3}2 + \dfrac12 i\right) & \text{for }k=1\end{cases}[/tex]

[tex]\boxed{z^{1/2} = \begin{cases}\sqrt3 - i & \text{for }k=0 \\ -\sqrt3 + i & \text{for }k=1\end{cases}}[/tex]


9. For f(x) = -x + 8, which statement
is true?
A f(x + k) = f(x) + k
ction
B f(x - k) = f(x) - k
C f(x + k) = f(x) + f(k)
D f(x - k) = f(x) + k

Answers

[tex]▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ { \huge \mathfrak{Answer}}▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ [/tex]

The Correct choice is D

For the function f(x) = -x+8, f(x-k) = f(x)+k.  Option (D) is correct.

What is function?

Function is a combination of different types of variable and constants.

A function is denoted by f(x).

The given function is,

f(x) = -x+8,

Substitute x= x+k in the given function,

f(x+k) = -(x+k)+8

f(x+k) = -x-k+8

f(x+k) = -x+8-k

Substitute -x+8= f(x) here,

f(x+k) = f(x)-k

Substitute x= x-k in the given function,

f(x-k) = -(x-k)+8

f(x-k) = -x+k+8

f(x-k) = -x+8+k

Substitute -x+8= f(x) here,

f(x-k) = f(x)+k

Hence, option (D) is correct.

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A women buys 23 pounds of potatoes. She gives 10% of them to a neighbor and 15% of them to her mother. How many pounds dose she have left?

Answers

Answer:

= 17.25 pounds (Answer)

Step-by-step explanation:

Potatoes she bought = 23 pounds

Amount she gave outsiders= 10+15=25%

= 23×25/100= 23/4=5.75 pounds

Potatoes left with her= 23 — 5.75

= 17.25 pounds (Answer)

Answer:

17.25 pounds

Step-by-step explanation:

10% of 23 is 2.3

15% of 23 is 3.45

Add them together you get 5.75

Subtract 5.75 from 23

Answer is 17.25

PLEASE HELP ME ITS ALGEBRA TWO THANK YOUUUU

Answers

Answer:

20 kilograms of paper will be recycled in Sean's office after 10 weeks.

Find the values of a and b.

Answers

9514 1404 393

Answer:

  (c)  a = 14; b = 6√2

Step-by-step explanation:

If you draw a vertical line at the right end of the top segment, it will cut off an isosceles right triangle to its right. That triangle is shown as having a leg length of 6, so the length of 'a' is ...

  a = 8 +6 = 14

The hypotenuse of an isosceles right triangle is √2 times the leg length, so ...

  b = 6√2

A park ranger spent $120 to buy 8 trees. Redwood trees cost $20 and spruce trees cost $12
each. How many of each tree did the park ranger buy?|

Answers

Answer:

3 Redwood trees

5 Spruce trees

Step-by-step explanation:

Which of the following is the graph of f(x) = -0.5|x + 31 -2?
Help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! Please!!!!

Answers

Answer: The graph is attached.

I suggest you use Desmos Graphing Calculator it helps me out so much!

Shane rare book collection contains 40 books. He donates 20% of his books to the national libary. he sells 1/4 of his books to a rare book dealer. the remaining he sells online. how many books did he sell online? NO LINKS!
A:8
B:10
C:18
D: 22

Answers

Answer:

D) 22

Step-by-step explanation:

40-8-10=22

8=20%

10=¼

Answer:

He sold 22 books online.

Step-by-step explanation:

20% of 40 books is 8.

40-8=32

Again,

1/4 of 40 is 10

Now,

Remaining books =40-(8+10)

=40-18

=22

Which of the following statements describes the graph below?

PLS HELP.

Answers

Answer:

piecewise, continuous.

Step-by-step explanation:

This is piecewise simply because it is in pieces. Thus PIECEwise (Pun intended). This is continuous because, as you can see, there is a filled in dot on the same x coordinate as every empty dot. The empty dots mean that that value is not in that part of the graph. However, since the other parts of the function "fill the gaps," then it is continuous.  I hope this helps!

It's offcourse piecewise

For continuity

Observe the graph

The domain is like

(-oo,1]U(1,2]U(2,oo)

For close ineterval there is an open interval hence it's continuous

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