Find sin 2x if cos x=-2/3 and x is in quadrant 2

Answers

Answer 1

Answer:

-4√5/9.

Step-by-step explanation:

if cos x = -2/3 then sin x = √(1 - (-2/3)^2)

= √(5/9)

= √5/3.

(As x is in quadrant 2 sin x is positive).

So:

sin2x = 2 sin x cos x

         = 2 * √5/3 * -2/3

          =  -4/3 * √5/3

          =  -4√5/9.


Related Questions

PLEASE ANSWER 60 PTS
find all missing angles below.

Answers

Step-by-step explanation:

a=60°{vertically opposite angles}

b=180°-(52+110)°=18°

c=180°-(60+18)°=102°

d=180°-102°=78°

e=180°-(78+51)°=51°

Which data set does this stem-and-leaf plot represent?


7, 0, 6, 2, 8

77, 7, 0, 6, 6, 0, 0, 2, 8

17, 27, 40, 46, 56, 60, 82, 88

40, 88, 82, 46, 56, 60, 17, 60, 27, 17

Answers

Answer:

it's 40, 88, 82, 46, 56, 60, 17, 60, 27, 17

9x-3-8x=7-x solve for x

Answers

Answer:

x = 5

Step-by-step explanation:

Simplify both sides :

9x - 3 - 8x = 7 - xx - 3 = 7 - x

Add 3 to each side :

x - 3 + 3 = 7 - x + 3x = 10 - x

Add x to each side :

x + x = 10 - x + x2x = 10

Divide by 2 on each side :

2x/2 = 10/2x = 5

Answer:

x = 5

Step-by-step explanation:

9x-3-8x=7-x solve for x

9x - 3 - 8 x = 7 - x

x - 3 = 7 - x

2x = 10

x = 10 : 2

x = 5

-----------------

check

9 * 5 - 3 - 8 * 5 = 7 - 5

2 = 2

the answer is good

What is the value of x in the triangle?

Answers

Answer:

3 = x

Step-by-step explanation:

Well, the two unknown sides share the same size due to the same angle, so now, using the fact we only have the info about one side, we need to do a reverse pythagorean theorem.

[tex]c^{2} = a^{2} + b^{2}[/tex]

Our a and b are the same, so I will change them to "x" and combine them.

[tex]c^{2} = 2(x)^{2}[/tex]

Now we plug in our "c" and square it ("C" in this case is: [tex]3\sqrt{2}[/tex] )

[tex]18 = 2(x)^{2}[/tex]

[tex]9 = x^{2}[/tex]

3 = x

In Calc, a mathematical equation is called a
A. Calculation
B. Symbol
C. Formula
D. Cell name

Answers

C. Formula

Explanation:

In Calc, a mathematical equation is called a Formula.

It would be formula

does the point (3,1) lie on the line y=x-3? (With explanation)

Answers

Answer:

well i lands on y and the explaination would be 3+1=y

Step-by-step explanation:

hope this helps

PLEASE HELP!!!!!!!!

WILL GIVE BRAINLY IF RIGHT!!!!!!!!


Simplify.

[tex]\sqrt{(2\pi-4\sqrt{5})^2}[/tex]

Answers

Answer:

2π - 4√5

(= -2.66 to nearest hundredth).

Step-by-step explanation:

√(2π - 4√5)^2

= 2π - 4√5             (by the definition of a square root)

If you want an approximate value it is

-2.66 to the nearest hundredth

*
Drag each graph to show whether it is a function of x or not a function of x. If there is
not enough information to tell

Answers

By using the vertical line test, we conclude that graphs 4 and 5 don't represent functions.

Which of the shown graphs are not functions?

The criteria to know when a graph represents or not a function, is to draw a vertical line and see if the line intersects the graph in more than one point. (This is called the vertical line test).

If you do that with graphs 4 and 5, you will see that these two do not represent functions.

For the other graphs is immediate to know that:

graph 1: represents a linear function.graph 2: represents a constant linear function.graph 3: represents a quadratic function.graph 6: represents a piecewise function.

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33. Use formulas to find the lateral area and surface area of the given prism. Round your answer to the nearest whole number.
505 m² :519 m ²
505 m ²: 533 m ²
497 m ²: 519 m ²
497 m ²: 533 m ²

Answers

Answer: ⬇️⬇️⬇️⬇️

Lateral area = 505 m² ; Surface area =  519 m²


Hope I helped

Lateral area = Perimeter x height  

Lateral area = (2 + 7 + 7.28) x 31 = 16.28 x 31 = 505 m²

Surface area = 2(1/2 x 2 x 7) + 505  = 519 m²

Answer: Lateral area = 505 m² ; Surface area =  519 m²

the distance on the map between the treasures hidden in block A2 and block A3 is 35mm. if the scale on the map is 1:500 ratio, what is the actual distance between the two hidden treasures?

Answers

The actual distance is: 17500mm

What is a map scale?

A map scale is used to show the relationship between the distance on the map and the distance on the earth.

Analysis:

The scale 1:500 is a reduction scale, it means every 1 mm on the map represents 500mm on the ground

So if 1mm on the map represents 500mm on the ground, then 35mm on the map would be 500 x 35 = 17500mm

In conclusion, the actual distance between the two hidden treasures is 17500mm.

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Select ALL the expressions that have a value of 2² – 3³ + 29.
1. (78 ÷ 3) – 24
2. 83 – 14 × 62 – 2
3. –|–6|
4. |–6|
5. 72 – 3.1 – 19 × 2.1

Answers

There is no expression that is the same as the value of 2² – 3³ + 29 which is = 2.

Simplification of the given expression

To simplify the expression 2² – 3³ + 29. is as follows:

2² – 3³ + 29 = 4- 9+29

= 29 -5

= 24

(78 ÷ 3) – 24. To simplify is = 78/3=26-24 = 2 (false)

83 – 14 × 62 – 2. To simplify is = 69- 60 = 9 (false)

–|–6|. To simplify is -(-6) = +6( false)

-6( false)

72 – 3.1 – 19 × 2.1: To simplify is = 49.9×2.1 = 104.79 (false)

Therefore, there is no expression that is the same as the value of 2² – 3³ + 29. which is 2.

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Precalculus.
Which one of these a whole number?
55
[tex]\sqrt{3}[/tex]
0.3
[tex]\frac{1}{4}[/tex]
Do answer.

Answers

Answer:

55

Step-by-step explanation:

Since whole numbers do not include fractions and decimal values, 55 is the answer

2.* Use the slope (m) and y-intercept (b)
to describe the system.
(1) x + y = -1
(2) -x - y=-1
F. Intersecting lines
G. Same lines, m > 0
H. Same lines, m < 0
J. Parallel lines, m > 0
K. Parallel lines, m < 0

Answers

Answer:

the answer is for this particular problem is F

2*5-1/2*10*9 answer will be 45

Answers

Sure if that’s the case

Enter the range of values for x:
2x-4
10
45
60
2

Answers

Answer:

the answer is 0

Step-by-step explanation:

2x-4

putting 10

2x10-4

20-4

=16

putting 45

2x45-4

90-4

=86

putting 60

60x2-4

120-4

=116

putting 2

2x2=4

4-4=0

5/3 ​ ÷ 1/9

list answer below

Answers

Answer:

5

Step-by-step explanation:

just calculated and got it

Answer:

15

Step-by-step explanation:

First, change it to multiplication and flip the second fraction

5/3×9/1

Then you multiply 5×9 and 3×1. This gets you 45/3

45/3 can be simplified down to 15 so the answer is 15

Nina used 2 litres of paint to paint a wall.
The wall was a rectangle 2 metres high and 4 metres wide.
How many litres of paint would she need to paint a rectangular wall which is
2.5 metres high and 8 metres wide?

Answers

10 i Believe so because A=LxW so you multiple the 2x4=8.

What percent of 6 is 9?

Answers

Answer:

150%

Step-by-step explanation:

half of 6 is three, and 9 has a value of 3 more than 6. meaning that 9/6 = 150%

Answer: [tex]150[/tex]% [tex]([/tex][tex]0.54[/tex][tex])[/tex]

Step-by-step explanation:

For fraction: divide 6 by 100 and remove the % sign.

{[tex]6[/tex]}% [tex]=\frac{6}{100}[/tex]

For decimal: move the decimal point 2 places to the left and remove the % sign.

{[tex]6[/tex]}% [tex]=0.06[/tex]

[tex]100[/tex]% [tex]=9[/tex]

[tex]\frac{6}{100}[/tex] × [tex]9=0.06[/tex] × [tex]9=0.54[/tex]

[tex]6[/tex]% [tex]of~9~is~0.54[/tex]

Trey earned $23, $26, $25, $24, $23, $24, $6, $24, and $23 in tips working at a deli. Find the mean of the amounts of tips he earned.

Answers

Answer:22

Step-by-step explanation:

23 plus 26 plus 25 plus 24 plus 23 plus 24 plus 6 plus 24 plus 23= 198 so count how many numbers there are we had to add so its 198 divided by 9 gives you the answer  22

The following figure shows a right triangular prism. (help pls :( )

Which expression represents the surface area of the prism?

Choose 1 answer:

Answers

Answer: b

Step-by-step explanation:

The expression represents the surface area of the prism is 2.24+120+160+200. Therefore, option B is the correct answer.

Here a triangular prism has been provided with some measurements.

We have to find Which expression can be used to find the surface area of the following triangular prism.

What is the formula to find the total surface area triangular prism?

The formula for the surface area of a triangular prism is formed by adding up the area of all the rectangular and triangular faces of a prism. Observe the following figure of a triangular prism to know the dimensions that are considered to frame the formula.

Surface area = (Perimeter of the base × Length of the prism) + (2 × Base Area) = (S1 +S2 + S3)L + bh

Here, S1, S2 and S3 are sides of triangles, l=length of the prism, b=base and h=height.

Now, (6+8+10)20+8×6=120+160+200+48

=2.24+120+160+200

The expression represents the surface area of the prism is 2.24+120+160+200. Therefore, option B is the correct answer.

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mZR
R
S
10x - 8
98 °
12x + 4
Q
T

Answers

Answer:

Please clarify what you asking

Step-by-step explanation:

i need help with it pls

Answers

Answer:

Step-by-step explanation:

Step 1: What are the couch's original coordinates?

A: (-4, 2)N: (-4, 3)G: (-1, 3)L: (-1, 4)E: (-5, 4)S: (-5, 2)

Step 2: Rotate the couch 90° counterclockwise.

Rule: (x, y) → (-y, x)

A': (-4, 2) → (-2, -4)N': (-4, 3) → (-3, -4)G': (-1, 3) → (-3, -1)L': (-1, 4) → (-4, -1)E': (-5, 4) → (-4, -5)S': (-5, 2) → (-2, -5)

Step 3: Now reflect the "new" couch over the y-axis.

Rule: (x, y) → (-x, y)

A'': (-2, -4) → (2, -4)N'': (-3, -4) → (3, -4)G'': (-3, -1) → (3, -1)L'': (-4, -1) → (4, -1)E'': (-4, -5) → (4, -5)S'': (-2, -5) → (2, -5)

Step 4: Finally translate the new new" couch right 1 unit and up 5 units.

Rule: (x + 1, y + 5)

A''': (2, -4) → (2 + 1, -4 + 5) → (3, 1)N''': (3, -4) → (3 + 1, -4 + 5) → (4, 1)G''': (3, -1) → (3 + 1, -1 + 5) → (4, 4)L''': (4, -1) → (4 + 1, -1 + 5) → (5, 4)E''': (4, -5) → (4 + 1, -5 + 5) → (5, 0)S''': (2, -5) → (2 + 1, -5 + 5) → (3, 0)

Step 5: Use the distance formula to show that the length of EG is the same as the length of E'''G'''.

EG: (-5, 4)(-1, 3) E'''G''': (5, 0)(4, 4)

Distance between E(-5, 4) and G(-1, 3)

x₁ = -5x₂ = -1y₁ = 4y₂ = 3

[tex]\large \textsf {d = $\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$}\\\\\large \textsf {d = $\sqrt{(-1-(-5))^2+(3-4)^2}$}\\\\\large \textsf {d = $\sqrt{(-1+5)^2+(3-4)^2}$}\\\\\large \textsf {d = $\sqrt{4^2+(-1)^2}$}\\\\\ \large \textsf {d = $\sqrt{16+1}$}\\\\\large \textsf {d = $\sqrt{17}$}\\\\\large \textsf {d = ${4.12}$}[/tex]

Distance between E'''(5, 0) and G'''(4, 4)

x₁ = 5x₂ = 4y₁ = 0y₂ = 4

[tex]\large \textsf {d = $\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$}\\\\\large \textsf {d = $\sqrt{(4-5)^2+(4-0)^2}$}\\\\\large \textsf {d = $\sqrt{(-1)^2+4^2}$}\\\\\large \textsf {d = $\sqrt{1+16}$}\\\\\ \large \textsf {d = $\sqrt{17}$}\\\\ \large \textsf {d = ${4.12}$}[/tex]

This means that the length of EG is the same as the length of E'''G'''.

Hope this helps!

help this is confusing​

Answers

1. (The green box): 2/11 • 1/10 is correct.
2. (Yellow box): 2/5 • 1/3 is correct.
3. (Purple box): 3/10 • 6/19 is correct.
4. (Blue box): 1/4 • 13/51 is correct.

Attached is a picture of my work and explanations; It’s too hard to type it all on my phone. Hope this helps!

Answer:

Green: (2/11) * (1/10)

Yellow: (2/5) * (1/3)

Purple: (3/10) * (6/19)

Blue: (1/4) * (13/51)

Step-by-step explanation:

 Green:

>> Maria has 11 letters in her bag, and 2 of them are B's.

>> At first, the chance of drawing a B is 2 out of 11: 2/11.

>> Let's assume that everything goes according to plan, and she actually draws a B.

>> Then she has 10 letters, and only one of them is B (she already has the other one).

>> That means that the chance of drawing that B is 1 out of 10: 1/10.

>> Thus, (2/11)*(1/10).

 Yellow:

>> There are 11 + 13 + 16 = 40 items in the closet.

>> The probability of selecting a prop is 16/40 = 2/5 (there are 16 props and 40 items).

>> That means that there are 40-1=39 items left.

>> Therefore, the probability of selecting a costume is 13/39 = 1/3 (as there are 13 costumes and 39 items).

>> The answer is (2/5) * (1/3).

 Purple:

>> There are 6+8+6=20 jellybeans.

>> At first, Hannah grabs an orange candy (there are 6 of them): 6/20 = 3/10.

>> Then there are 19 candies left.

>> Then she grabs a pink one (there are 6 of them): 6/19.

>> The answer is (3/10)*(6/19).

 Blue:

>> There are 52 cards in a standard deck, 13 clubs, 13 spades, 13 hearts, 13 diamonds.

>> The 1st is a spade: 13/52 = 1/4.

>> There are 51 cards left.

>> The 2nd is a club: 13/51.

>> (1/4)*(13/51).

Select the reason why these triangles are
similar. If they are not, select "Not similar."
2.5
1
0.5
2.25
A. AA
B. SAS
C. SSS
D. Not similar

Answers

Answer:

D

Step-by-step explanation:

1/2 is not equal to 1/2.5 is not equal to 0.5/2.25.

A news report suggested that an adult should drink a minimum of 4 pints of water per day. based on this report determine the minimum amount of water an adult should drink, in fluid ounces, per week.

Answers

Answer:

448 fl oz/week

Step-by-step explanation:

1 week = 7 days

4 pints per day × 7 days/week = 28 pints per week

1 pint = 16 fl oz

28 pints/week × 16 fl oz/pint = 448 fl oz/week

NO LINKS!! Please help me with this problem​

Answers

Answer:

Mix A is 2 unitsMix B is 1 unitMix C is 3 units

Step-by-step explanation:

Let amount of Mix A is a, Mix B is b, Mix C is c.

With the given details, we get the following system

5a + 6b + 4c = 284a + 2b + c = 133a + 4b + 4c = 22

Find the value of c (the easiest one) for substitution

c = 13 - 4a - b

Substitute c into the first equation

5a + 6b + 4(13 - 4a - 2b) = 285a + 6b + 52 - 16a - 8b = 28- 11a - 2b = 28 - 5211a + 2b = 24      (5)

Substitute c into the third equation

3a + 4b + 4(13 - 4a - 2b) = 223a + 4b + 52 - 16a - 8b = 22- 13a - 4b = 22 - 5213a + 4b = 30       (6)

Double the equation (5) and subtract (6), find the value of a

2(11a + 2b) - 13a - 4b = 2(24) - 3022a - 13a = 48 - 309a = 18a = 2

Find b

11*2 + 2b = 2422 + 2b = 242b = 2b = 1

Now find c

c = 13 - 4*2 - 2*1 c = 13 - 8 - 2c = 3

3.26d+9.75d−2.65 what does this equal

Answers

Answer:

13.01d - 2.65

Step-by-step explanation:

3.26d + 9.75d − 2.65

combine like terms

3.26d + 9.75d = 13.01d

nothing further can be done, recombine

13.01d - 2.65

What is an equation of the line that passes through the points (3,6) and (1,−2)?

Answers

Answer:

y = 4x - 6

Step-by-step explanation:

Hi there!

We are given the points (3,6) and (1, -2), and that a line passes through these 2 points

We want to find the equation of said line

There are 3 ways to write the equation of the line:

Slope-intercept form, which is y=mx+b, where m is the slope and b is the y interceptStandard form, which is ax+by=c, where a, b, and c are integer coefficients but a and b cannot be equal to 0, and a cannot be negative Slope-point form, which is [tex]y-y_1=m(x-x_1)[/tex], where m is the slope and [tex](x_1, y_1)[/tex] is a point

The  most common way is slope-intercept form, so let's write the equation of the line this way

First, we need to find the slope

The slope (m)  can be found using the formula [tex]\frac{y_2-y_1}{x_2-x_1}[/tex], where [tex](x_1, y_1)[/tex] & [tex](x_2, y_2)[/tex] are points

Before we calculate, let's label the values of the points.

[tex]x_1=3\\y_1=6\\x_2=1\\y_2=-2[/tex]

Now substitute into the formula

m=[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

m=[tex]\frac{-2-6}{1-3}[/tex]

Subtract

m=[tex]\frac{-8}{-2}[/tex]

Divide

m= 4

The slope of the line is 4

Substitute 4 as m in y=mx+b:

y = 4x + b

Now to find b

Since the equation passes through both (3,6) and (1, -2), we can use either point to help solve for b.

Taking (3,6) for example:

Substitute 3 as x and 6 as y.

6 = 4(3) + b

Multiply

6 = 12 + b

Subtract 12 from both sides

-6 = b

Substitute -6 as b into the equation

y = 4x - 6

Hope this helps!

Topic: finding the equation of the line

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Screenshot of the question attatched. please help me

Answers

Rules of Exponents

There are many rules that apply to operations involving exponents. In this question, we'll need the following:

The division rule⇒ [tex]\dfrac{a^n}{a^m}=a^{n-m}[/tex]

Solving the Question

We're given:

[tex]z^{21}\div z^7=z^k[/tex] (solve for k.)

⇒ Rewrite as a fraction:

[tex]\dfrac{z^{21}}{z^7}=z^k[/tex]

⇒ Use the division rule:

[tex]z^{21-7}=z^k\\z^{14}=z^k\\14=k[/tex]

Therefore, the value of k is 14.

Answer

k = 14

Brainly for the one who help me
the words choices is
Fortunately
Obviously
Suddenly
Eventually

Answers

Answer:

suddenly

Step-by-step explanation:

Answer:

Suddenly is the answer

Step-by-step explanation:

Suddenly is a quickly and without warning or unexpectedly.

Example:Suddenly I heard a loud scream.
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