Find the reference angle of -150 degrees

Answers

Answer 1

Final answer:

The reference angle of -150 degrees is found by first determining the positive angle in standard position by adding 180 degrees, resulting in 330 degrees. Since 330 degrees is in the fourth quadrant, we subtract it from 360 degrees to get the reference angle, which is 30 degrees.

Explanation:

To find the reference angle of -150 degrees, we must determine the smallest angle between the terminal side of the given angle and the x-axis. A reference angle is always positive and measured between 0 to 90 degrees. Since -150 degrees is in the third quadrant when considering standard position in a coordinate system, where angles are measured counterclockwise from the positive x-axis, you add 180 degrees to determine its corresponding positive angle in the second quadrant. Therefore, the reference angle of -150 degrees is:

180° - (-150°) = 180° + 150° = 330°

Since 330 degrees is in the fourth quadrant, to find the reference angle, we subtract it from 360 degrees:

360° - 330° = 30°

Thus, the reference angle for -150 degrees is 30 degrees.


Related Questions

what is the volume of the composite figure

Answers

Answer:192^3

Step-by-step explanation:

Multiply the base x width x height (6, 8, 4) and get your answer 192^3.

The volume of composite figure is [tex]76ft^{3}[/tex]

Volume:

To find the volume of composite figure,

Let us consider that, given figure is complete.

So that, [tex]length=6ft, width=2ft, height=8ft[/tex]

Volume of complete figure,

            [tex]Volume=length*width*height\\\\Volume=6*2*8=96ft^{3}[/tex]

Now find the volume of cut part.

           [tex]Volume=2*2*5=20ft^{3}[/tex]

Volume of composite figure is,

                     [tex]96-20=76ft^{3}[/tex]

Learn more about the Volume here:

https://brainly.com/question/1972490

A kite was broken into two triangles of the same size and shape .
The area of each triangle is ? Square centimeters
20,40,80,160
The total are of the kite is ? Square centimeters
40,80,160,320

Answers

ANSWER

Each triangle:40 cm²

Kite : 80cm²

EXPLANATION

The area of a triangle is

[tex] \frac{1}{2}bh[/tex]

The height of the triangle is

[tex] h = \frac{1}{2} (10)=5cm[/tex]

and the base is 16 cm.

The area of each triangle is

[tex] = \frac{1}{2}(16)(5) = 40 {cm}^{2} [/tex]

2. The total area of the kite is 2 times the area of one triangle.

[tex] = 2 \times 40 = 80 {cm}^{2} [/tex]

Answer:

The first answer to your question is B=40

The second answer to your question is B=80

Step-by-step explanation:

Right on ED2021, goodluck!

Someone plz help ! So the marking period is almost done and I’m horrible at math and I really wanna graduate so someone plz help

Answers

Answer:

11: b = c - 0.5, where b is the bread and c is the cheese

12: h = b + 2, where h is the height and b is the base

13: p = 25b, where p is the plane ticket and b is the bus ticket

1024 cm is equal to how many meters

Answers

Centi means [tex]10^{-2}=\frac{1}{100}[/tex] that also means you can write 1024 cm as [tex]1024\cdot\frac{1}{100}[/tex] m.

Now we can simplify the above fraction a little bit.

[tex]

1024\cdot\frac{1}{100}=\frac{1024}{100}=\boxed{10.24}

[/tex]

Which means 1024 cm is 10.24 m.

Hope this helps.

r3t40

There are 100 cm in 1 meter so to convert 1024 cm to meters divide 1024 by 100

1024/100 = 10.24

In 1024 cm there are 10.24 meters

Hope this helped!

~Just a girl in love with Shawn Mendes

What is the average rate of change for this function for the interval from x=3 to x=5

Answers

Answer:

A. 16

Step-by-step explanation:

We have to find rate of change of function from x=3 to x=5

The average rate of change for the interval a≤x≤b is given by:

Rate of change=  (f(b)-f(a))/(b-a)

In our question,

a=3

and

b=5

We can see from the table that at x = 3, the value of function is 18

So,

f(a)=18

and

At x=5, the value of function is 50

f(b)=50

Rate of change=(50-18)/(5-3)

=32/2

=16

So the rate of change of function between x=3 and x=5 is 16 ..  

Option A is the correct answer..

In a circle with an 8-inch radius, a central angle has a measure of 60°. How long is the segment joining the endpoints of the arc cut off by the angle?

8
8√2
8√3

Answers

Answer:

8_/3

Step-by-step explanation:

tan60=arc/8

arc=8×_/3=8_/3 ans

Answer:

Its 8. I just did this lesson and got it right.

Step-by-step explanation:

Reduce -8 + b^2 by 5 + b^2

Answers

Answer:-13

Step-by-step explanation:

-8 + b^2 - 5 - b^2

=============

-13

Answer:

-13           __________________________

Step-by-step explanation:

find the circumstance of the circle with the radius of 6​

Answers

Answer:

Circumference=37.6991 or 38

Step-by-step explanation:

c=2[tex]\pi[/tex]r

c=2[tex]\pi[/tex]6

c=37.6991

Answer:

Step-by-step explanation:

c=2\pir

Use the table to identify values of pand a that can be used to factor
x2 + x - 12 as (x + p)(x+q).

Answers

Answer:

D. -3 and  4

Step-by-step explanation:

-12 = -3 x 4

-3  + 4 = 1

so

x^2 + x - 12

=  (x - 3)(x + 4)

Answer

D.  -3 and 4

ANSWER

D. -3 and 4

EXPLANATION

The given quadratic trinomial is

[tex] {x}^{2} + x - 12[/tex]

To factor this we need to find two factors of -12 that sum up to 1, the coefficient of x.

We can see from the table that, when p=-3 and q=4, then p+q =1.

The trinomial can now be factored as:

[tex] {x}^{2} + x - 12 = (x - 3)(x + 4)[/tex]

The correct answer is D.

Which could be the function graphed below?

Answers

Answer:

Given graph represents function.

Step-by-step explanation:

We have been given a graph. Now we need to find if the given graph represents function or not.

To check if any graph represents function or not, we apply vertical line test. That means if there exists any vertical line that crosses the given graph more than once then the given graph is not a function.

Now if you draw vertical lines then you won't find any such vertical line which crosses graph more than once.

Hence given graph represents function.

Answer:

[tex]f(x=\sqrt{x}-2[/tex].

Step-by-step explanation:

We have been given graph of a function. We are supposed to find the function formula.

Upon looking at our given function, we can see that it is transformed form of a square root function.

We know that square root parent function is in form [tex]f(x)=\sqrt{x}[/tex].

We can see that our given graph is shifted down along y-axis. The rule for shifting a graph down along y-axis is: [tex]f(x)\rightarrow f(x)-a[/tex], where graph of [tex]f(x)[/tex] is shifted down by a units.

So our function will be in form [tex]f(x=\sqrt{x}-a[/tex].

From our attached file, we can see that value of 'a' is 2.

Therefore, our required function would be [tex]f(x=\sqrt{x}-2[/tex].

2x3 - 5x2 + 3x + 7 = X-2

Answers

Let's solve your equation step-by-step.

2x3−5x2+3x+7=x−2

Step 1: Subtract x-2 from both sides.

2x3−5x2+3x+7−(x−2)=x−2−(x−2)

2x3−5x2+2x+9=0

Step 2: Factor left side of equation.

(x+1)(2x2−7x+9)=0

Step 3: Set factors equal to 0.

x+1=0 or 2x2−7x+9=0

x=−1

Answer:

x=−1

Final answer:

The given equation is rearranged into a polynomial equation, and can be solved using methods such as factoring, the quadratic formula, graphing, or completing the square.

Explanation:

To solve this question, you first need to set the equation in order. You should arrange it as a quadratic equation (ax²+bx+c = 0). Given equation is:

2x³ - 5x² + 3x + 7 = x-2

We need to simplify this equation by adding '2' on both sides and subtracting 'x' from both sides:

2x³ - x - 5x² + 3x + 1 = 0

Now, it has been transformed into a polynomial equation with the variable x. Solving this kind of equation requires methods such as factoring, quadratic formula, graphing or completing the square.

Learn more about Solving Equations here:

https://brainly.com/question/18322830

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Ni Hua is an adventurous traveler. He skydives twice in every island he visits and skydives thrice in every peninsula he visits.
In the last decade, Ni Hua went skydiving a total of 454545 times in the 191919 islands and peninsulas that he visited.
How many islands and peninsulas did Ni Hua visit?
Choose 1 answer:
A)Ni Hua visited 121212 islands and 777 peninsulas.
B)Ni Hua visited 777 islands and 121212 peninsulas.
C)There is not enough information to determine the exact number of islands and peninsula Ni Hua visited.
D)The given information describes an impossible situation.

Answers

Answer:

A) Ni Hua visited 12 islands and 7 peninsulas.

Step-by-step explanation:

If all visits had been to islands, Hua would have skydived 19·2 = 38 times. He actually skydived 45-38 = 7 times more than that. Each peninsula that replaces an island adds 1 skydive to his total, so he must have visited 7 peninsulas.

Hua visited 7 peninsulas and 12 islands.

Evaluate 6+4/a+b/3 a=4 b=3

Answers

Answer:

8

Step-by-step explanation:

6+4/4+3/3=8

For this case we have the following expression:

[tex]6+ \frac {4} {a} + \frac {b} {3}[/tex]

We must evaluate the expression when:

[tex]a = 4\\b = 3[/tex]

Substituting in the expression:

[tex]6+ \frac {4} {4} + \frac {3} {3} =\\6 + 1 + \frac {3} {3} =\\6 + 1 + 1 =\\7 + 1 =\\8[/tex]

ANswer:

The value of the expression when[tex]a = 4[/tex] and [tex]b = 3[/tex], is 8

what is the volume of the square pyramid with base edges 24ft and slant height of 37ft

Answers

Answer:

6720ft^3

Step-by-step explanation:

37²-12² = a²

1225 = a²

√1225 = a

a = 35

35(24²/3) =

35(576/3) =

35•192 = 6720 cm³

The answer is 6720 ft

......................................

What is the 10th term to this sequence 2, 6, 18

Answers

Answer:

39366

Step-by-step explanation:

Answer:

1. 2

2. 6,

3. 18,

4. 54,

5. 162,

6. 486,

7. 1,456,

8. 4,368

9. 13,104

10. 39,312

Step-by-step explanation:

Please help with question 4 about the plant species population

Answers

Answer:

5 years             I think....

Step-by-step explanation:

B Specie    A Specie      

5000         2000

10000       4000

                 6000

                 8000

                 10000

Answer:

30.54 yrs

Step-by-step explanation:

We have been given the following exponential growth functions;

Species A;

[tex]p=2000e^{0.05t}[/tex]

Species B;

[tex]p=5000e^{0.02t}[/tex]

where t = 0 in 2010.

We are required to determine the number of years it will take for the populations of both species to be equal.

To do this we simply equate the two exponential functions and solve for t;

[tex]2000e^{0.05t}=5000e^{0.02t}\\\\2e^{0.05t}=5e^{0.02t}\\\\\frac{5}{2}=\frac{e^{0.05t} }{e^{0.02t} }\\\\2.5=e^{0.03t}\\\\ln(2.5)=0.03t\\\\t=\frac{ln(2.5)}{0.03}=30.543[/tex]

Part of the graph representing an electrical signal is shown. The voltage rises steadily from an initial value (A) to a maximum value (B). It then drops instantly to the initial value (C) and repeats such that || and and are vertical. If A = (1, 1) and B = (4, 3), what is the equation of ?


A.
-3y − 2x = 5
B.
3y − 2x = 5
C.
3y − 2x = -5
D.
3y + 2x = 5

Answers

Answer:

D

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

This Venn diagram shows sports played by 10 students

Answers

Answer:

please upload the complete image once again for better understanding.

Step-by-step explanation:

Answer:

The answer is 4/5

Step-by-step explanation:

Please help me with this question please

Answers

Answer:

1 Goes with A. 2 Goes with C. 3 Goes with B.

Step-by-step explanation:

I counted them lol

Joe earned $2,400 this year. last year he earned $1,800. this year's earning were percentage of last year's.​

Answers

Answer: About 134% of last years earnings

Step-by-step explanation:

A cash register contains $5 bills and $50 bills with a total value of $1060. If there are 32 bills total, then how many of each does the register contain?

Answers

Answer:

12 5 dollar bills

20 50 dollar bills

Step-by-step explanation:

Let x = number of five dollar bills

Let y = number of fifty dollar bills

We have a total of 32 bills

x+y = 32

The total amount is 1060

5x+50y = 1060

We have 2 equations and 2 unknowns

x+y = 32

5x+50y = 1060

Multiply the first equation by -5 so we can eliminate x

-5x -5y = -5*32

-5x -5y =-160

Add this to the second equation

5x+50y = 1060

-5x -5y =-160

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

45 y    = 900

Divide each side by 45

45y/45 = 900/45

y = 20

There are 20 50 dollar bills

x+y = 32

x+20 = 32

Subtract 20 from each side

x+20-20 = 32-20

x = 12

There are 12 5 dollar bills

what is the length of side EH if the ratio sides CD:GH is 2:3, saide AD is 8, Ab is 10, and figures ABCD and EFGH are similar

Answers

Answer:

[tex]EH=12\ units[/tex]

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional

In this problem

ABCD and EFGH are similar

so

CD is proportional to GH

AD is proportional to EH

[tex]\frac{CD}{GH}=\frac{AD}{EH}[/tex]

substitute the given values and solve for EH

[tex]\frac{2}{3}=\frac{8}{EH}[/tex]

[tex]EH=3*8/2=12\ units[/tex]

big points answer all questions on pic

Answers

Answer with explanation:

QUES 1)

Let x denote the gig of data used.

and y denote the monthly charge for use of data

We know that the equation of a line with given slope "m" and y-intercept "c" is given by:

       y=mx+c

Runfast--

The monthly charge is: $ 8

and the cost of per gig of data is: $ 8

Since, the cost per gig represent the slope and fixed monthly charge represent the y-intercept.

Hence, the equation that is given by this set of information is:

             [tex]y=8x+8---------(1)[/tex]

BA & D--

The monthly charge is: $ 15

and the cost of per gig of data is: $ 4

Hence, the equation that is given by this set of information is:

             [tex]y=4x+15-----------(2)[/tex]

QUES 2)

We will substitute the value of y from equation (1) in equation (2) as follows:

 8x+8=4x+15

i.e.  8x-4x=15-8

i.e.   4x=7

i.e.   x=7/4=1.75

and the value of y is:

y=8×1.75+8

i.e.    y=22

Hence, the cost of both the companies are equal when 1.75 gigs of data is used and the cost is: $ 22

( Since , the solution is: (1.75,22)  )

Please do it for me if you can

Answers

Answer: 25868

Find area of circle, then add to are of rectangle

Answer:

23745 ft²

Step-by-step explanation:

Area of the Rectangle = LW = 146 x 119 = 17374 ft²

Area of 3/4 of a circle = 3/4r²π = 3/4 x 52² x π = 6371.14990148... ≈ 6371 ft²

Total area = 23745 ft²

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
The area of a given hexagon is equal to the area of an equilateral triangle whose perimeter is 36 inches. Find the length of a side of the regular hexagon.

Answers

Do 36 divided by the amount of sides the hexagon has. I think I am not sure

Find the length of each leg. Leave an answer in simplest radical form.

Answers

Answer:

[tex]x=8\sqrt{2}[/tex] units

Step-by-step explanation:

The given triangle is an isosceles right triangle.

This implies that, the second leg is also x units.

We use the Pythagoras Theorem to obtain:

[tex]x^2+x^2=16^2[/tex]

[tex]2x^2=256[/tex]

Divide both sides by 2; to get

[tex]x^2=128[/tex]

Take positive square root to get:

[tex]x=\sqrt{128}[/tex]

[tex]x=8\sqrt{2}[/tex]

At a car and truck dealership the probability that a vehicle is white is 0.25 the probability that it is a pickup truck is 0.15 the probability that it is a white pickup truck is 0.06 what is the probability that a vehicle is white given that the vehicle is a pick up truck round your answer to two decimal points

Answers

Step-by-step Answer:

Given:

W=vehicle is White

T=vehicle is a pick-up Truck

P(W and T)=0.06

P(W)=0.25

P(T)=0.15

We need the conditional probability that a vehicle is white, given that it is a pick-up truck:

P(W | T)

= P(W and T) / P(T)

= 0.06 / 0.15

=0.4

Answer:

0.40

Step-by-step explanation:

Solve 2/3x> 8 or 2/3x< 4

Answers

Answer:

x > 12

Answer for 2/3>8

Answer:

x within the domain (-∞,0) ∪ (0,1/12) ∪ (1/6,∞)

Step-by-step explanation:

Let's find the solution by modifying the conditions like this:

First condition:

2/3x > 8

Notice that x needs to be a positive number because if x is negative number the expression 2/3x is always negative, and the given condition will be false. Also, x can't be 0 because dividing by 0 is not allowed.

Multiplying the first condition in both sides by (3x/2) we obtain:

(2/3x)*(3x/2) > 8*(3x/2) equal to:

1 > 12x, which dividing by 12 in both sides is:

1/12 > x, which means a domain: (0,1/12)

Second condition:

2/3x < 4

Notice that if x is negative, the expression (2/3x) is always negative, so the second condition will be always true, so negative numbers are not a problem for this conditions.

Let's find the highest positive number which allows the second condition to be a true statement.

Multiplying the second condition in both sides by (3x/2) we obtain:

(2/3x)*(3x/2) < 4*(3x/2) equal to:

1 < 6x, which dividing by 6 in both sides is:

1/6 < x which means a domain: (-∞,0) ∪ (1/6,∞), notice that 0 is not in the domain because dividing by 0 is not allowed, but also as mentioned before negative numbers makes the statement true.

Notice that the problem uses the word OR (condition one or condition two), which means that we need to create a domain for x which allows that always at least one condition is true.

Adding the x domains for the two conditions we obtain:

(-∞,0) ∪ (0,1/12) ∪ (1/6,∞); notice that all the boundary numbers are not included.

In conclusion, the statement 2/3x>8 or 2/3x<4 is true for x within the domain (-∞,0) ∪ (0,1/12) ∪ (1/6,∞).

Find the value of x, one side is 14, another is 48

Answers

It’s 50 you use the Pythagorean theorem

A^2 + B^2 = C^2

48^2 + 14^2 = C^2

2304 + 196 = C^2

2500= c^2

Then square root 2500 and you get 50

Find the domain and range!!! 10 points!! Help needed

Answers

ANSWER

B. Domain is (-∞,∞) and Range is (-∞,∞).

The given function is

[tex]f(x) = \sqrt[3]{x - 6} + 5[/tex]

This is function is obtained by shifting the base cubic root function 6 units to the right and 5 units up.

This function is defined for all real values of x.

Therefore the domain is all real numbers.

The range is all real numbers.

The domain for this function becomes the range for the inverse function and the range becomes the domain.

Hence the domain is (-∞,∞) and the range is (-∞,∞).

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