simplify 2(x +2) - x +3 (-x -2) -(2x +4)

The value of theta has a 30-degree reference angle and is located in Quadrant II or IV.

Given to us

[tex]tan \theta =-\dfrac{\sqrt{3}}{3}[/tex]

To know the value  [tex]tan \theta =\dfrac{\sqrt{3}}{3}[/tex] we will simplify the given expression,

[tex]tan \theta =\dfrac{\sqrt{3}}{3}\\\\\\tan \theta =\dfrac{1}{\sqrt{3}}\\\\tan \theta =30^o[/tex]

Hence, the value of theta is 30°.

To know that the location of the -tan30°,

[tex]tan30^o = -\dfrac{sin30^o}{cos30^o}[/tex]

As the value is negative, therefore, there can be two cases,

Case I: when the value of Sin30° is negative,

Case II: when the value of cos30° is negative.

Case I: when the value of Sin30° is negative,

If the value of Sin30° is negative, while the value of cos30° is positive, the θ will lie in the fourth quadrant.

Case II: when the value of Cos30° is negative,

If the value of Cos30° is negative, while the value of Sin30° is positive, the θ will lie in the second quadrant.

Hence, the value of theta has a 30-degree reference angle and is located in Quadrant II or IV.

Learn more about Quadrants:

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Answer:

a

Step-by-step explanation:

Answer:

$309.75 in a week

Step-by-step explanation:

Answer:

The correct options are A and E, or the first and last options on Edge.

Step-by-step explanation:

The answers are 'Mike threw more touchdowns in one season.' and 'The differences in the medians and positions of the boxes show that Jeff generally threw more touchdowns than Mike.' I did the assignment myself. I hope this helps everyone!

Answer:

A and E

Step-by-step explanation:

edg

When frequency distributions are constructed from the same data set, the distribution with the widest class will have the smallest classes.

This refers to a mathematical or statistical set of numbers or data which have been arranged to show the frequency of occurrence of each number that can be repeatedly observed.

The different types of Frequency Distribution are:

See the link below for more about Frequency Distribution:

https://brainly.com/question/1094036

Answer:

Use the given functions to set up and simplify

f (2). 0

Step-by-step explanation:

Answer:

[tex] {(4x - 1)}^{2} = 11 \\ 4x - 1 = \sqrt{11} \: \: \: \: 4x - 1 = - \sqrt{11} \\4 x = \sqrt{11} + 1 \: \: \: \: 4x = - \sqrt{11} + 1 \\ x = \frac{ \sqrt{11} }{4} + \frac{1}{4} \: \: \: \: \: \: x = - \frac{ \sqrt{11} }{4} + \frac{1}{4} [/tex]

Answer:

y=x-4

Step-by-step explanation:

please mark brainliest!

Answer:

y=-2/4x + (-4.5)

Step-by-step explanation:

so first we look for the slope which is rise/run.

start with the lower point and count up two.

the count to the left and you have -2/4, thats your slope.

then you chose one point, like (1,-5)

so either using point slope form y-y1=m(x-x1) or standard form y+mx+b

im going to use standard form

plug in your points like so:

y= -2/4x +b

-5= -2/4(1) +b

-5 = -1/2 + b

-5+ 1/2 = b

-4 1/2 =b

so y should equal

y=-2/4x + (-4.5)

im not sure but i hope this helps a bit

Answer:

Question 6:

⇒15 × 6 = 90

⇒1 × 8 = 8

⇒90 + 8 = 98 chairs

The total number of chairs required is 98.

Question 8:

Working hours of cinema per month= 120 hours

total hours worked by Leanne in September = 138 hours

per hour pay = £7

over time pay per hour = £9

how much did she get paid in September = ?

⇒138 hours - 120 hours = 18 hours

it means that out of 138 total hours she has worked, she worked overtime for 18 hours.

⇒120 hours × £7 = £840

she got paid £840 for working 120 hours

⇒18 hours × £9 = £162

She got paid £162 for working 18 hours additional

⇒£840 + £162 = £1002

Therefore,

Leanne is paid £1002 for working £138 in September.

hope that helps...

Answer:

point N

Step-by-step explanation:

the closest perfect square to 82 is 81 which is 9

the closest perfect square to 99 is 100 which is 10

possible choices are N, P, or Q

since 81 is very close to 82, the answer is going to be very close to 9

answer would be point N

Answer:

domain (-3,0,2)

range (3,6,9)

Step-by-step explanation:

the domain is all the numbers on the x-axis or the input side and the range is all the numbers on the y-axis side or the output

Answer:

8

Step-by-step explanation:

Answer:

.....8?

Step-by-step explanation:

1st grade math ._.

Answer:    MULTIPLY 32 BY 64 THEN DIVIDE THAT AWNSER BY 20

Step-by-step explanation:

Answer:

Step-by-step explanation:

By the Triangle Sum Theorem, ∠ABD = 58° and ∠BCD = 26°. Therefore, you can use the Law of Sines in ΔABC which states that

Answer:

x=9, y=-6

Step-by-step explanation:

you can add to cancel out the y: -x+3x=18. x=9. You then plug x back to get the value for y.

Answer:

x = 155°

Step-by-step explanation:

The sum of the angles in any triangle = 180°

1. The triangle with the right angle and the 35° angle: We know the acute angles of a right angle sum = 90°.  So 35° + what angle = 90° ; the missing angle = 90° - 35° = 55°

You have a straight angle formed with the 60° + ?° + 55° that is equal to  180°.    60° + 55° + ? = 180; 115°+ ? = 180;  ? = 65°.

Now "x" is any exterior angle which tells you that it is equal to the two remote angles.  The two remote angles are 65° + 90° =  x° ; x = 155°

Now

Sum of two Interiors =Exterior angles

[tex]\\ \tt\hookrightarrow 120+35=x[/tex]

[tex]\\ \tt\hookrightarrow x=155°[/tex]

Answer:

inverse of 5/9(F-32)

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let the number of pounds is x.

Consider the time for preheat and set the equation:

Solve for x to find the weight:

Let the no of lbs be p

The equation is

On solving

Parallelograms are quadrilaterals with parallel and congruent opposite sides

The value of the variable is 30

The given parameters are:

RZ = 6x + 9

SW = 13x - 12

From the parallelogram, we have the following relationship between lengths RZ and SW

[tex]SW =2 * RZ[/tex]

So, we have:

[tex]13x - 12 = 2 * (6x + 9)[/tex]

Open brackets

[tex]13x - 12 = 12x + 18[/tex]

Collect like terms

[tex]13x - 12x = 12 + 18[/tex]

[tex]x = 30[/tex]

Hence, the value of the variable is 30

Read more about parallelograms at:

https://brainly.com/question/3050890

Answer:

Darn I had one of those a few weeks ago, I'm so sorry if I'm wrong but I think it's option 3? I'd wait for someone else to answer though just it case I'm wrong. God bless!

Answer:

7/8−6/11=29/88

Step-by-step explanation:

i used a calculator.

hope this helps :))

Answer:

1. 8% of 50 is 4

2. 95% of 40 is 38

3. 42% of 263 is 110.46

4. 110% of 70 is 77

5. 115% of 20 is 23

6. 130% of 78 is 101.4

7. 6.5% of 50 is 3.25

37. 15% of 50 is 7.5

38. 5% of 19 is 0.95

39. 8% of 275 is 22

I hope this helps! Can I plz have a Brainliest??

Step-by-step explanation:

Answer:

No.

Step-by-step explanation:

Substitute (5, 2) into the inequalities:

( x = 5 ) ( y = 2 )

[tex]2(5) +4(2)<20[/tex]

[tex]3(5)-2(2)>11[/tex]

Solve:

[tex]18<20[/tex]

Correct.

[tex]11>11[/tex]

Incorrect.

No, (5, 2) isn't a solution to the system.

Answer:

There is no question to solve. Please repost the question.

Step-by-step explanation:

The value of x is -0.01.

It is a system of an equation in which the highest power of the variable is always 1. A one-dimension figure that has no width. It is a combination of infinite points side by side.

Simplification is to make something easier to do or understand and to make something less complicated.

Given

The equation is 102x + 11 = (x + 6)2 – 2.

The value of x.

The equation is 102x + 11 = (x + 6)2 – 2.

On simplifying,

102x + 11 = 2(x + 6) - 2

102x + 11 = 2x + 12 - 2

102x + 11 = 2x + 10

102x - 2x = 10 - 11

      100x = -1

            x = -0.01

Thus, the value of x is -0.01.

More about the linear equation link is given below.

https://brainly.com/question/20379472

Answer:

y = x + 11

Step-by-step explanation:

A line parallel to y = x - 5, intersecting at (0,11) should have slope equal to 1 and y-intercept equal to 11.

So, using y = mx + b , where m is the slope and b is the y-intercept :-

=> y = (1)x + (11)

=> y = x + 11

BRAINLIEST?

PUH-LEEZ.