Find the slope of the line that is parallel and perpendicular to the following equation.
-5x - y = 1

[tex]\text{Given that,} \sin x = \dfrac{\sqrt 5}3,~~ \text{and}~~~ \sin y =\dfrac{\sqrt 2}2\\\\\\~~~~~~~\sin x = \dfrac{\sqrt 5}3\\\\\implies \sin^2 x = \dfrac 59\\\\\implies 1- \cos^2 x = \dfrac 59\\\\\implies \cos^2 x =1- \dfrac59 \\\\\implies \cos^2 x = \dfrac 49\\\\\implies \cos x = \dfrac 23~~~~~~~;[\text{In quadrant I, all ratios are positive.}]\\\\\\\\[/tex]

[tex]~~~~~~\sin y =\dfrac{\sqrt{2}}2\\ \\\implies \sin y = \dfrac 1{\sqrt 2}\\\\\implies \sin^2 y = \dfrac 12\\\\\implies 1-\cos^2 y = \dfrac 12\\\\\implies \cos^2 y = 1-\dfrac 12=\dfrac 12\\\\\implies \cos y = \dfrac 1{\sqrt 2}\\\\\\[/tex]

[tex]\text{Now,}\\\\\cos(x+y) = \cos x \cos y - \sin x \sin y\\\\\\~~~~~~~~~~~~~~=\dfrac 23 \cdot \dfrac 1{\sqrt 2}- \dfrac{\sqrt 5}3 \cdot \dfrac 1{\sqrt 2}\\\\\\~~~~~~~~~~~~~~=\dfrac{2- \sqrt 5}{3\sqrt 2}\\\\\\~~~~~~~~~~~~~~=\dfrac{\sqrt2\left(2 -\sqrt 5 \right)}6[/tex]

Answer: 244 degrees

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

$20-$11.29= 8.71 change he wil get back

Step-by-step explanation:

Adjacent sides of a square and a rectangle are always perpendicular to each other. Sides of the right-angled triangle enclosing the right angle are perpendicular to each other.

Answer:

the shirt should be $20 and the pants $30

Answer:

six hundred and sixty-two by twenty-six

Step-by-step explanation:

Answer:

333 remainder 6

Step-by-step explanation:

       333   R 6

26/8664

  - 78

     086

     - 78

        084

          -78

              6

I struggled to show the work formatted how I would normally write this problem out, so I'll also talk through how I got the answer.

The first step in long division by hand is to take the number that is furthest to the left and seeing how many times your divisor (26) will go into it.

In this case the digit in the thoudands place (our furthest left) is 8.  Obivously 26 does not fit into 8. So our answer will have a 0 in the thousands place and we move one place to the right.  

We now have 86.  26 fits into 86 three times and leaves a difference of 8 remaining in the hundreds place, and we move the right again to the tens place.

We again have 86. 26 again fits in three time and leaves a difference of 8. As we move to the right to the ones place we are left with 84.  

26 fits into 84 three times, but we have a difference of 6 this time.

We cannot continue as 26 will never fit into our remainder of 6.

We had a 0 in the thousands place, a 3 in the hundreds place, a 3 in the tens place and a 3 in the ones palce with 6 left over.

So the final answer is 333 remainder 6

Answer:

y = 120°

Step-by-step explanation:

If AC ≅ AD and BC ≅ BD then the shape of the figure is a kite.

Therefore, ∠D ≅ ∠C

Sum of interior angles in a kite = 360°

⇒ ∠A + ∠B + ∠C + ∠D = 360°

⇒ 120° + ∠B + 100° + 100° = 360°

⇒ ∠B = 40°

Sum of interior angles of a triangle = 180°

⇒ ∠B + ∠BDY + ∠y = 180°

⇒ 40° + 20° + ∠y = 180°

⇒ ∠y = 120°

Answer:

What circle?

Step-by-step explanation:

Please give more data

Answer:

I need a picture of the circle. you can't answer your question without an actual reference on what im solving

Step-by-step explanation:

Answer:

hypotenuse(?)

Step-by-step explanation:

Answer:

Where the line is going

Step-by-step explanation:

Put attention next time

Ps. Just check if its on x or on the y

The slope of line that passes through the points (1, -6) and (-2, –8) is 2/3.

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

y = mx + b

In which the coefficients are described as follows:

• The coefficient m is the slope of the function, representing the rate of change of the function.

• The coefficient b is the y-intercept of the function, representing the value of y when the function crosses the y-axis(x = 0).

Here the points are(1, -6) and (-2, –8) :

and it is to find the equation of line passing through these points :

Now using slope formula to find the slope of line m :

m = (y₂-y₁)/ (x₂-x₁)

m = (-8+6)/(-2-1)

m = -2/-3

m = 2/3

Therefore, the slope of line that passes through the points (1, -6) and (-2, –8) is 2/3.

More can be learned about linear functions :

brainly.com/question/24808124

#SPJ2

Answer:

~Lord

The magnitude of the degree in a circle is. there are 5 angels in a circle

measure of each angle:

so measure of each angle is 72°

Step-by-step explanation:

As Per Provided Information

Number of sector in given circle is 5

As we know sum of all angles in a circle at centre is 360° .

Since number of sector is given and we are asked to find the measure of each angle in given circle .

[tex] \huge{ \boxed{\sf \: Angle_{(Circle)} = \cfrac{360}{ \: number \: of \: sector}}}[/tex]

Now put the value in above equation and we obtain

[tex] \longrightarrow\sf \: Angle_{(Circle)} = \cfrac{360}{5} \\ \\ \\ \longrightarrow\sf \: Angle_{(Circle)} = \cancel \dfrac{360}{5} \\ \\ \\ \longrightarrow\sf \: Angle_{(Circle)} = {72}^{ \circ} [/tex]

Therefore,

Answer:

The answer would be 2x+4+3x+4, 5x+8, and 2(2x+4) +x

Step-by-step explanation:

Step 1. Simplify 2x+4+3x+4 into 5x (combine the x's) +8 (combine the 2 4's)
Step 2. Simplify 2(2x+4)= x into 4x + 8 + x (<-- distribute the 2 to the 2x and 4) and 4x+x would equal 5x meaning 5x + 8.
I hope that this helps! :)

Answer:

20.3

Step-by-step explanation:

6x+2+56=180

    -2 -56  -58

6x= 122

/6    /6

x=20.3

Answer:

r=4.998

Step-by-step explanation:

The equation for volume of a sphere is [tex]V = \frac{4}{3} \pi r^3[/tex].

We can subsatute 523 in for V and then solve for r by multiplying both sides by 3 and then dividing both sides by 4pi.  Then, take the cube root of each side and you will get r.

Answer: I think you should go to the internet and try to get some ways to help yourself Try Math with Mr.J or Math Antics on Videos

Step-by-step explanation:

Someone deleted my first answer so I can not do anything about it sorry

Answer:

Step-by-step explanation:

Answer:

(x + 42)(x - 42)

Step-by-step explanation:

Keep this in mind :

In this case,

So, by factorizing,

★a²-b²=(a+b)(a-b)

So

a=x ,b=42

Done!

Answer:

Step-by-step explanation:

Answer:

75%

Step-by-step explanation:

75% of 200 is 150

Answer:

75% since [tex]50 + 50 + 50 = 150[/tex] which is [tex]3[/tex] quarters of [tex]200[/tex]

Please mark brainliest.

5 feet is the greatest distance that a person could be from the lamp and be detected.

A circle is defined as round plane figure whose boundary (the circumference) consists of points equidistant from a fixed point (the center).

Since we have given that

The equation is :

[tex](x+15)^2+(y-12)^2=25[/tex]

It is the equation of circle in which center is (h,k) i.e. ( 15,12)

The general equation of circle is given by

[tex](x-h)^2+(y-k)^2=r^2[/tex]

Here, the radius 'r' is given by

[tex]r^2=25[/tex]

[tex]r=\sqrt{25[/tex]

[tex]r=5[/tex]

Here, the greatest distance a person could be from the lamp and be detected is represented by radius i.e. r = 5 feet.

Hence, 5 feet is the greatest distance that a person could be from the lamp and be detected.

To know more about Circle follow

https://brainly.com/question/24375372

Answer:

$6.25 for each CD

Step-by-step explanation:

6.25 x 400 = 2,500

2,500 - 2,000 = 500

there is a 500 profit

Answer:

where

Step-by-step explanation:

Answer: The range of the function is all real numbers less than or equal to 9

Step-by-step explanation:

Answer:

Equations: 40-7=33 and 33÷11=3

Step-by-step explanation:

40-7=33

Since there are 3 sides,(q) then you do 33 divided by 3=11.

Equations: 40-7=33

And

33÷11=3