is this a slope of 8/4

Given:

[tex]\sin (x)=-\dfrac{1}{2}[/tex]

[tex]\cos (y)=-\dfrac{1}{3}[/tex]

x is an angle in quadrant III, and y is an angle in quadrant II.

To find:

The value of sin(x+y).

Solution:

We know that, only sin and cosec are positive in II quadrant. Only tan and cot are positive in III quadrant.

x is an angle in quadrant III,

[tex]\cos x=-\sqrt{1-\sin^2 x}[/tex]

[tex]\cos x=-\sqrt{1-(-\dfrac{1}{2})^2}[/tex]

[tex]\cos x=-\sqrt{1-\dfrac{1}{4}}[/tex]

[tex]\cos x=-\sqrt{\dfrac{4-1}{4}}[/tex]

[tex]\cos x=-\dfrac{\sqrt{3}}{2}[/tex]

y is an angle in quadrant II.

[tex]\sin y=\sqrt{1-\cos^2x}[/tex]

[tex]\sin y=\sqrt{1-(-\dfrac{1}{3})^2}[/tex]

[tex]\sin y=\sqrt{1-\dfrac{1}{9}}[/tex]

[tex]\sin y=\sqrt{\dfrac{9-1}{9}}[/tex]

[tex]\sin y=\sqrt{\dfrac{8}{9}}[/tex]

[tex]\sin y=\dfrac{2\sqrt{2}}{3}[/tex]

Now,

[tex]\sin(x+y)=\sin x\cos y+\cos x\sin y[/tex]

[tex]\sin(x+y)=(-\dfrac{1}{2})\times (-\dfrac{1}{3})+(-\dfrac{\sqrt{3}}{2})\times (\dfrac{2\sqrt{2}}{3})[/tex]

[tex]\sin(x+y)=\dfrac{1}{6}-\dfrac{2\sqrt{6}}{6}[/tex]

[tex]\sin(x+y)=\dfrac{1-2\sqrt{6}}{6}[/tex]

Therefore, the correct option is B.

Answer:

Choice B

Step-by-step explanation:

Answer:no hbu cutie?

Step-by-step explanation:

I do lol- can u help me

3.4–2.8d+2.8d-1.3=?

Answer:

hey look up it up it's  better

Step-by-step explanation:

Answer:

Median

Step-by-step explanation:

In FGH, K is the midpoint of GH.

Therefore, FK is the median segment.

Answer:

A is the answer

Step-by-step explanation: Edge 2020

Answer:

it takes ten tickles for an octopus to laugh

Answer:

i believe it is the answer on the right because alternate interior angles add up to 180 degrees

Answer:

2x-40= x+10 one

Step-by-step explanation:

they are alternate interior angles which equal each other, not 180

Answer:

P(Pair of dice greater than 7) = 5/12

Step-by-step explanation:

When rolling a pair of dice, there are 36 combinations for the rolls.

(1,1), (1,2), (1,3), .... (2,1), (2,2), .... (6,1), ... (6,6)

Of those, there are 15 where the total is greater than 7.

15/36 = 5/12

#1 #2 Sum > 7

1 1 2 FALSE

1 2 3 FALSE

1 3 4 FALSE

1 4 5 FALSE

1 5 6 FALSE

1 6 7 FALSE

2 1 3 FALSE

2 2 4 FALSE

2 3 5 FALSE

2 4 6 FALSE

2 5 7 FALSE

2 6 8 TRUE

3 1 4 FALSE

3 2 5 FALSE

3 3 6 FALSE

3 4 7 FALSE

3 5 8 TRUE

3 6 9 TRUE

4 1 5 FALSE

4 2 6 FALSE

4 3 7 FALSE

4 4 8 TRUE

4 5 9 TRUE

4 6 10 TRUE

5 1 6 FALSE

5 2 7 FALSE

5 3 8 TRUE

5 4 9 TRUE

5 5 10 TRUE

5 6 11 TRUE

6 1 7 FALSE

6 2 8 TRUE

6 3 9 TRUE

6 4 10 TRUE

6 5 11 TRUE

6 6 12 TRUE

Answer:

5/12

Step-by-step explanation:

I can’t really explain it. I did the same problew though.

Answer:

Step-by-step explanation:

Step one:

given data

we are told that the  number of people under the survey is 3000

and also that 2100 people would like to buy again, these 2100 people represent the number of people who are satisfied with the type of car.

Step two:

Therefore the percentage of this number related to the total people under the survey is given below

=2100/3000*100

=21//30*100

=7/10*100

=7*10

=70%

Hence 70% of the people surveyed are satisfied with the type of car

Answer:

200

Step-by-step explanation:

1/4 would be 25 percent and 50 times 4 would be 200

Answer: The Answer is 64

Step-by-step explanation: there  isnt  much really to it

Answer:

The answer is 64

Step-by-step explanation:

If you need me to explain my answer let me know.

Answer:

m=24

Step-by-step explanation:

First, we can combine like terms:

m/(5-2)=8

m/3=8

Now, we need to get m by itself. To do this, multiply by 3:

m/3*3=8*3

m=24

50

50 ÷ 5 = 10, 10-2 =8

kdjrjrjdjjfhrhy to truth thhrjrhejd

Answer:

[tex] \rm x = - 7 \pm \sqrt{11} [/tex]

Step-by-step explanation:

Solve for x over the real numbers:

[tex] \longrightarrow [/tex] x² + 14x + 38 = 0

Subtract 38 from both sides:

[tex] \longrightarrow [/tex] x² + 14x + 38 - 38 = 0 - 38

[tex] \longrightarrow [/tex] x² + 14x = -38

Add 49 to both sides:

[tex] \longrightarrow [/tex] x² + 14x + 49 = 49 - 38

[tex] \longrightarrow [/tex] x² + 14x + 49 = 11

Write the left hand side as a square:

[tex] \longrightarrow [/tex] x² + 7x + 7x + 49 = 11

[tex] \longrightarrow [/tex] x(x + 7) + 7(x + 7) = 11

[tex] \longrightarrow [/tex] (x + 7)(x + 7) = 11

[tex] \longrightarrow [/tex] (x + 7)² = 11

Take the square root of both sides:

[tex] \longrightarrow [/tex] [tex] \sf \sqrt{{(x + 7)}^{2}} = \pm \sqrt{11} [/tex]

[tex] \longrightarrow [/tex] [tex] \sf x + 7 = \pm \sqrt{11} [/tex]

Subtract 7 from both sides:

[tex] \longrightarrow [/tex] [tex] \sf x = - 7 \pm \sqrt{11} [/tex]

Answer:

The correct answer is y = 3x + 1.

Step-by-step explanation:

I did the assignment, and it was correct. Hope it helps!

Answer:

y=3x + 1

Step-by-step explanation:

I got it right on the assignment and plus im smart

Answer:

Its D.

Step-by-step explanation:

Give him brainliest he deserves it

Answer:

y = 2x - 4

Step-by-step explanation:

Pls give me Brainliest thank you <3

Answer:

b

Step-by-step explanation:

other person answered, just need some points

Answer:

Suppose you earned extra money by having a part-time job. You open up a bank account in order to save your money. Your body acts similar to a bank account—you can “deposit” and “store” energy.

\

Step-by-step explanation:

Answer:

Part B is Both batches have 2 more quarts of pineapple juice than sparkling water. The ratio of quarts of pineapple juice to quarts of fruity drink for the first batch is 3 to 5 or 3:5 or 3/5. The ratio for the second batch is 5 to 8 or 5:8 or 5/8. The second batch has a greater ratio of quarts of pineapple juice to quarts of fruity drink.

Answer:-1

Step-by-step explanation:

I got it wrong and it said that that is the right answer

Answer:

Step-by-step explanation:

Multiply 100*$15 to find the loss. (1500)

Multiply 100*$21.75 to find what was made. (2175)

Subtract 2175-1500

Total=$675

Answer:

The percentage gain is 45 Percent.

Step-by-step explanation:

Answer:

x= -1

Step-by-step explanation:

First, distribute the -3 through the parentheses

4x-8= -3(2x+6)

= 4x-8= -6x-18

Second, move the variable to the left-hand side and change its sign

4x+6x= -18+8

10x= -10

Divide both sides by 10

x=-1

Answer:

x=-7

Step-by-step explanation:

first u wanna multiply (2x+6) which equals 12 the what u wanna do is move the constant to the right which is 4x-8=-36. Then calculate 4x=-36+8. then after that then u should end up with 4x=-28 then u divide it then u end up with ×=-7

Question:

Point T, the midpoint of segment RS, can be found using the formulas x = (1/2) (6 – 2) + 2 and y = (1/2) (4 – 6) + 6. What are the coordinates of point T?

Answer:

[tex]T(4,5)[/tex]

Step-by-step explanation:

Given

[tex]x = \frac{1}{2}(6 - 2) + 2[/tex]

[tex]y = \frac{1}{2}(4 - 6) + 6[/tex]

Required

Determine the coordinates of T

The coordinates of T can be represented as [tex]T(x,y)[/tex]

To do this, we simply solve for x and y

[tex]x = \frac{1}{2}(6 - 2) + 2[/tex]

Solve 6 - 2

[tex]x = \frac{1}{2}*4 + 2[/tex]

Solve 1/2 * 4

[tex]x = 2 + 2[/tex]

[tex]x = 4[/tex]

[tex]y = \frac{1}{2}(4 - 6) + 6[/tex]

Solve 4 - 6

[tex]y = \frac{1}{2}*-2 + 6[/tex]

Solve 1/2 * -2

[tex]y = -1 + 6[/tex]

[tex]y = 5[/tex]

Hence, the coordinates of T(x,y) is:

[tex]T(x,y) = T(4,5)[/tex]

Answer:

C

Step-by-step explanation:

Answer:91 i think

Step-by-step explanation:

Answer:

91

Step-by-step explanation:

6.5 x 14 =91

Answer:

Step-by-step explanation:

3

Answer:

a) 15

b) 97/2

Step-by-step explanation:

a) f(g(6))

  g(6) = 6

   2(6)+3

    12 + 3

      15

b) gf(x) = 10

    2x+3

    2x+3 = 100

    2x = 97

     x = 97/2

Answer:

14.29% increase

Hope this helps!

Step-by-step explanation:

The formula for this would be:

New value - Old value

Then divide the answer by the old value

Finally multiply it by 100

So it should be $400 - $350 which is $50

Then $50 ÷ $400 which is 0.125

Finally do 0.125 × 100 which is 12.5

So there has been a 12.5% increase

Hope this helps and/or makes sense!

Answer:

Are you 1 grade or what......

Answer:

6x^2 + 10x

Step-by-step explanation:

2x(3x + 5) = 2x * 3x + 2x * 5

= 6x^2 + 10x