In the accompanying diagram of a unit circle, the ordered pair (x,y) represents the point where the terminal side of 0 intersects the unit circle. If 0=150, what is the value of x.
A.
B.
C.
D.

In The Accompanying Diagram Of A Unit Circle, The Ordered Pair (x,y) Represents The Point Where The Terminal

Answers

Answer 1

Answer:

Below in bold.

Step-by-step explanation:

tan 150 = -tan 30

= -1/√3 = y/x    (1)

This is a unit circle so the hypotenuse = 1.

so sin 150 = y/1 = y

y = 1/2

So substituting in equation (1)

1/2 / x =  -1/√3

-x = √3/2

x = -√3/2.

Answer 2

The value of x in the unit circle is -√3/2.

Option B is the correct answer.

What is a circle?

A circle is a two-dimensional figure with a radius and circumference of 2pir.

The area of a circle is πr².

We have,

Since the angle is 150 degrees, we know that it is in the second quadrant, where the x-coordinate is negative and the y-coordinate is positive.

Since the circle has a radius of 1, the y-coordinate is sin(150) = 1/2.

To find the x-coordinate, we can use the formula x = cos(θ), where θ is the angle in radians.

To convert 150 degrees to radians, we multiply by π/180:

150 degrees x π/180 = 5π/6 radians

So,

x = cos(5π/6) = -√3/2.

Therefore,

The value of x is -√3/2.

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Related Questions

the net of a square pyramid and its time engines are shown in the diagram what is the lateral surface area in square feet?
A 960
B 336
C 240
D 192​

Answers

The answer is C
Explanation it’s C

Answer:

c

Step-by-step explanation:

Please help me with my math homework

Answers

 

n this world, no one can survive alone. Team up with friends to fend off countless waves of zombies, fight bosses, earn coins, level up, and buy new towers! If you're feeling up for a challenge, try taking on harder bosses on harder difficulties!

does anyone know what mathia is?

Answers

Answer:

I think its some sort of learning platform. Search it up.

Step-by-step explanation:

if 9% of 84 students like pizza if 6% like hotdogs and 15% like nachos and 6% like candy how much percentage is left popcorn

Answers

Answer:

64%

Step-by-step explanation:

36% like everything else, leaving a 64%

Answer: 64%

Step-by-step explanation:

9 + 6 + 15 + 6 =36

popcorn = 100- 36% = 64%


64/100 × 84/1

need the answer please help

Answers

Answer:

the 2nd option

Step-by-step explanation:

given a quadratic in standard form : y = ax² + bx + c (a ≠ 0 )

• if a > 0 then minimum turning point

• if a < 0 then maximum turning point

the graph here has a minimum turning point , so

the function has a positive leading coefficient.

the function is symmetrical about the y- axis , so is of even degree

the function has 1 turning point at (0, 2 )

the graph does not cross the x- axis so has 0 x- intercepts

At Fairview Middle School, 75 band members need to raise a total of $8,250 for a trip. So far, they have raised $3,120.

How much money, in dollars, per band member, still needs to be raised for the trip?



The entire band decides to have a concert to raise the money for the trip. Tickets for the concert will cost $7.50 each.

A local business agrees to donate an additional $0.50 for each $1.00 in ticket sales to the band for their trip.What is the least number of concert tickets the band must sell in order to raise the rest of the money needed for the trip?

Answers

How much money, in dollars, per band member, still needs to be raised for the trip?

$68.40

A local business agrees to donate an additional $0.50 for each $1.00 in ticket sales to the band for their trip. What is the least number of concert tickets the band must sell in order to raise the rest of the money needed for the trip?

456 tickets

PLEASE HELP I NEED HELP

Answers

Answer:

Step-by-step explanation:

Graph the line using the slope and y-intercept, or two points.

Slope:

1

y-intercept:

(

0

,

0

)

x

y

0

0

1

1

Which inequality has the graph shown below?

Answers

It’s automatically the first one, because a non-dotted line means it can be equal to, and it’s shaded up meaning it’s greater than.

The sum of consecutive positive integers is 93.find number

Answers

Answer:

46 and 47.

Step-by-step explanation:

Let the 1st number be x,

Now,

or, x + x = 92

or, 2x = 92

or, x = 46

Again,

Let the 2nd number be x + 1

And,

x + 1 = 46 + 1 = 47.

10. A company is designing a new cylindrical water bottle. The volume
of the bottle is 103 cubic centimeters. What is the radius of the
water bottle? Estimate using 3.14 for , and round to the nearest
hundredth.

Answers

The radius of the water bottle to the nearest hundredth is 2.01 cm

How to calculate the volume of a cylinder

A cylinder is a solid figure with circular bases and height.

The volume of a cylinder = πr²h

h is the height  = 8.1cm

Volume = 103 cubic cm

Substitute into the formula to have
V = 3.14r² * 8.1
103 = 3.144 * 8.1 * r²

r = 2.01 cm

Hence the radius of the water bottle to the nearest hundredth is 2.01 cm

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Square a root of 32761 by division method

Answers

Answer:

181..

Step-by-step explanation:

        1 8  1   <     answer

      -----------

        32761

  1     1    

        227

 28   224      

              361

 361        361

PLS HELP FOR BRAINLY

Answers

Answer:

B

Step-by-step explanation:

Hope this helped and brainly please

Please help!! If you aren't going to actually help, please don't even answer.

Answers

#1

Change of base formula is given by

[tex]\\ \rm\Rrightarrow log_ab=\dfrac{log_db}{log_da}[/tex]

#2

Two most common bases are

e10

As general logarithm has base 10 and natural has base e hence these two are most used

#3

We use e as base

[tex]\\ \rm\Rrightarrow log_23[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{log_e3}{log_e2}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{ln3}{ln2}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{1.0986122886681}{0.6931471805599}[/tex]

[tex]\\ \rm\Rrightarrow 1.6[/tex]

can someone help with this??

Answers

Answer:

1 is 13480851.0638

2 is 20438709.6774

3 is 5812844.0367

Step-by-step explanation:

20 Points, Part A What percentage of the time margins are at least 0.6 second? Part B What is the most common margin of victory? (Screenshot)

Answers

Answer:

20%

0.5

Step-by-step explanation:

There are 20 margins, so you have to count how many are 6.0 or higher. There are 4 margins that fit this so you divide the 4 margins by 20, then multiply the quotient by 100. That's how you get 20%.

The most common time was 0.5.

Choose all numbers that are greater than 12%
CHECK
1/8
1/12
23/200
7/50
15%
0.025

Answers

Answer:

1/8, 7/50, 15%,

Step-by-step explanation:

I asked siri

Which equation has no solution? |4x – 2| = –6 |–2 – x| = 9 |3x 6| = 6 |–2x 8| = 0

Answers

Step-by-step explanation:

The absolute value of any equation can never be negative.

|4x - 2| = -6 has a negative value -6.

The |4x - 2| = -6 has no solution for x because |x| can not be negative.

Which shows the correct solution to the inequality StartFraction 7 over 10 EndFraction greater-than-or-equal-to 1 and StartFraction 5 over 8 EndFraction + p? StartFraction 7 over 10 EndFraction greater-than-or-equal-to 1 and StartFraction 5 over 8 EndFraction + p. StartFraction 7 over 10 EndFraction minus 1 and StartFraction 5 over 8 EndFraction + p. StartFraction 28 over 40 EndFraction minus 1 and StartFraction 25 over 40 EndFraction greater-than-or-equal-to p. p less-than-or-equal-to negative 1 and StartFraction 3 over 40 EndFraction. StartFraction 7 over 10 EndFraction greater-than-or-equal-to 1 and StartFraction 5 over 8 EndFraction + p. StartFraction 7 over 10 EndFraction minus 1 and StartFraction 5 over 8 EndFraction greater-than-or-equal-to 1 and StartFraction 5 over 8 EndFraction minus 1 and StartFraction 5 over 8 EndFraction + p. StartFraction 28 over 40 EndFraction minus 1 and StartFraction 25 over 40 EndFraction greater-than-or-equal-to p. p greater-than-or-equal-to negative 1 and StartFraction 3 over 40 EndFraction. StartFraction 7 over 10 EndFraction greater-than-or-equal-to 1 and StartFraction 5 over 8 EndFraction + p. StartFraction 7 over 10 EndFraction minus 1 and StartFraction 5 over 8 EndFraction greater-than-or-equal-to 1 and StartFraction 5 over 8 EndFraction minus 1 and StartFraction 5 over 8 EndFraction + p. StartFraction 28 over 40 EndFraction minus 1 and StartFraction 25 over 40 EndFraction greater-than-or-equal-to p. p less-than-or-equal-to negative StartFraction 37 over 40 EndFraction. StartFraction 7 over 10 EndFraction greater-than-or-equal-to 1 and StartFraction 5 over 8 EndFraction + p. StartFraction 7 over 10 EndFraction minus 1 and StartFraction 5 over 8 EndFraction greater-than-or-equal-to 1 and StartFraction 5 over 8 EndFraction minus 1 and StartFraction 5 over 8 EndFraction + p. StartFraction 28 over 40 EndFraction minus 1 and StartFraction 25 over 40 EndFraction greater-than-or-equal-to p. p greater-than-or-equal-to negative StartFraction 37 over 40 EndFraction.

Answers

Answer:

The answer is C

Step-by-step explanation:

Alexei wants to hang a mirror in his boat and put a frame around it. the mirror and frame must have an area of 19.25 square feet. the mirror is 3 feet wide and 5 feet long. which quadratic equation can be used to determine the thickness of the frame, x? 2x2 8x − 19.25 = 0 3x2 5x − 19.25 = 0 4x2 16x − 4.25 = 0 4x2 16x 15 = 0

Answers

The quadratic equation that can be used to determine the thickness of the frame will be B. 3x² + 5x - 19.25 = 0

What is a quadratic equation?

It should be noted that a quadratic equation simply means an algebraic expression of the second degree in x.

In this case, the quadratic equation that can be used to determine the thickness of the frame will be 3x² + 5x - 19.25 = 0

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Answer:

The answer is C. 4x2 + 16x - 4.25 = 0.

Step-by-step explanation:

What do you think Thomas Edison meant by the word perspiration? How do those words apply to what you've learned about businesses in this lesson?​

Answers

1. Thomas Edison used "perspiration" to refer to the physical and mental efforts needed to achieve a meaningful purpose in any human endeavor.

2. As it applies to businesses, it is not enough to develop a business idea or plan, as the business person must be prepared to execute and carry the business idea or plan to fruition.

What does Thomas Edison's reference mean?

According to Thomas Edison, the superior intellect or creativity we associate with great minds comes from inspiration (the idea) and perspiration (hard work).

Perspiration literarily refers to the sweat that emanates as someone works hard.

Without a strong working ethic, it will be impossible to achieve great results from only the proposition of great ideas or business plans.

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Uh can someone tell me the answer to this im kinda stuck.

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Let's solve ~

[tex]\qquad \sf  \dashrightarrow \: - \dfrac{8}{15} \div - \dfrac{ 3}{5} [/tex]

[tex]\qquad \sf  \dashrightarrow \: - \dfrac{8}{15} \times - \dfrac{ 5}{3} [/tex]

[tex]\qquad \sf  \dashrightarrow \: \dfrac{( - 8 \times - 5)}{45} [/tex]

[tex]\qquad \sf  \dashrightarrow \: \dfrac{40}{45} [/tex]

[tex]\qquad \sf  \dashrightarrow \: \dfrac{8}{9} [/tex]

Hence, the correct choice is D

Answer:

  D)  8/9

Step-by-step explanation:

There are a couple of ways to do division by fractions. In the end, they amount to the same thing, but they look different as you go through the process. They might be summarized as ...

"invert and multiply", or "dot swap", andnumerators of the same denominator.

__

Signs

The sign of the quotient will be negative only if there are an odd number of minus signs in the problem. Here, both the dividend and divisor have minus signs, so the number of them is even. The result will be positive. (This eliminates choices A and B.)

__

Invert and Multiply

As with ordinary division by any number, it is equivalent to multiplication by the reciprocal of the number. That fact is used here to change the division problem to a multiplication problem.

  [tex]\dfrac{8}{15}\div\dfrac{3}{5}=\dfrac{8}{15}\times\dfrac{5}{3}\qquad\text{multiply by the reciprocal of the divisor}[/tex]

  [tex]=\dfrac{8}{15}\cdot\dfrac{5}{3}\qquad\text{"dot" for multiplication, "swap" to make reciprocal}[/tex]

The result can be reduced by cancelling common factors in this process.

  [tex]\dfrac{8}{15}\times\dfrac{5}{3}=\dfrac{8}{3}\times\dfrac{5}{5}\times\dfrac{1}{3}=\dfrac{8}{3\cdot3}=\boxed{\dfrac{8}{9}}[/tex]

__

Numerators of the Same Denominator

For this method, both the dividend and the divisor need to be expressed over the same denominator.

  [tex]\dfrac{8}{15}\div\dfrac{3}{5}=\dfrac{8}{15}\div\dfrac{3\cdot3}{5\cdot3}=\dfrac{8}{15}\div\dfrac{9}{15}[/tex]

We can rewrite this as a compound fraction to show that we effectively cancel the same denominators.

  [tex]=\dfrac{\left(\dfrac{8}{15}\right)}{\left(\dfrac{9}{15}\right)}=\boxed{\dfrac{8}{9}}[/tex]

7 Anton has some money saved for school. To increase the amount he has
saved, he got a job and added all the money earned to the amount already
saved.
I
• Anton was paid a constant rate in dollars per hour at his job.
• After working 10 hours, the amount he had saved was $450.
• After working 20 hours, the amount he had saved was $600.
Anton did not save any other money or spend any of the money he
had saved.
Which equation represents y, the amount of money in dollars Anton would
have saved after working x hours?
Select one answer.
Section 4
A y = 10x + 150
B y = 15x + 100
C y = 15x + 300

Answers

The linear function that represents the amount of money in dollars Anton would have saved is given by:

C y = 15x + 300

What is a linear function?

A linear function is modeled by:

y = mx + b

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

Taking the amounts from 10 and 20 hours, it is found that in 10 hours he saves $150, hence the slope is given by:

m = 150/10 = 15.

Considering that after working 10 hours, the amount he had saved was $450, and he saves $150 in 10 hours, his initial amount was given by:

b = 450 - 150 = 300.

Thus, the equation is given by:

y = 15x + 300.

Which means that option C is correct.

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does anyone know what the questions are for module 3 algebra dba

Answers

Answer:

no

Step-by-step explanation:

I never knew u had dba for math

PLEASE HELP ASAP Write an equation that models the data in the table (Screenshot below)

Answers

Answer:

y = 7x

Step-by-step explanation:

Every y is greater 7 times than x. It means that everytime you multiply X by 7, it will be equal to y

How can you rewrite (z ≤ −1.75) in order to find the answer?

Answers

We can  rewrite (z ≤ −1.75) in order to  4%.

We have given that  (z ≤ −1.75).

We have to use the Normal Distribution is symmetrical

What is the Normal Distribution is symmetrical?

The normal distribution is symmetric and has a skewness of zero.

[tex]P(z \leq -1.75)[/tex]

[tex]P(z > > 1.75)[/tex]

[tex]1 - P(z \leq 1.75)[/tex]

[tex]1 - 0.9599[/tex]

[tex]0.04001 \times 100=4.001 \%[/tex]

That is nothing but the 4%

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Answer:

D: 1 - P(z [tex]\leq[/tex] 1.75).4%

Step-by-step explanation:

the picture below is my question please hurry

Answers

Answer:

B) 70 °

Step-by-step explanation:

Given that the triangles AOC and BOC are congruent, the triangles OA and OB are likewise congruent and both represent the radius of a circle. Geometry tells us that an angle formed by two radii that are parts of two congruent triangles has the following dimensions:

m ∠ AOB = 2 · x (1)

Where x is the measure of angle BOC, in degrees.

And the measure of the angle AOC is: ( x= 70°)

∠ AOC = 70°

A triangular prism is shown below. What is the volume of the prism in cubic centimeters? Group of answer choices
A.168
B.840
C.280
D.336

Answers

Hs hav jags am. Anaya a

Surface area
5.5 m
1.2 m
1.6 m

Answers

5.5(1.2)=6.6
1.6(1.2)=1.92

6.6(4)=26.4
1.92(2)=3.84
Add them and get 30.24m^2
multiply 5.5,1.2, and 1.6 together and you will get your answer!!! i hope this helps!!

Jenny’s grandmother is making a quilt for

her 18th birthday. When she ran out of

material she asked Jenny to go to the

store and pick up more patches.


She only had one square cut in half at the

diagonal, creating 2 equal triangles left.

Each triangle has an area of 0. 18 units.

What is the length of the side of the square?

Answers

The side of the square that is twice the area of one triangle (0.18 units²) is: 0.6 unit.

What is the Area of a Square?

Area of a square = s², where s is the side length of the square.

1 square = 2(areas of triangles)

1 square = 2(0.18)

1 square = 0.36 units²

s² = 0.36

s = √0.36

s = 0.6 unit.

Length of the side of the square = 0.6 unit.

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The books namely Math, English, Arabic, Physics, and Chemistry are arranged in the rack by the librarian. What is the probability of Math book will be kept in first place?

Answers

Answer:

P(4,4) / P(5/5) = 1/5

Step-by-step explanation:

Total possibility:

All the 5 books can be arranged in a rack with P(5,5)=5! ways

Favorable Possibility:

Math book is kept in a first place, it mean that it is fixed

So remaining 4 books and that can be arranged in P(4,4)=4! ways

Hence,

Probability= number of favorable cases / total number of possibilities

Probability = P(4,4) / P(5,5) = 4! / 5! = 1/5

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