In the accompanying diagram of a unit circle, the ordered pair (x, y) represents the point where the terminal side of θ intersects the unit circle. If θ = 150°, what is the value of x?

Answers

Answer 1

Answer:

(-[tex]\sqrt{3\\}[/tex]/2,1/2);(-x,y)

Step-by-step explanation:

use the 1, root 3, 2 trick. 150's reference angle is 30 as q2 = 180-x


1 is the opposite here,  2 is always hypotenuse, root 3 is adjacent here

x value is based on cos = CAH
it's minus because in q2 angles are (-x,y)

hope that helps


Related Questions

Help me please !!!!!!

Answers

Answer; hi sisters daddy chill

Step-by-step explanation:

Pls help with this question

Answers

Answer:

They(play) football for two hours (present perfect continuous

O Points: 0 of 1
A 12-sided die is rolled. The set of equally likely outcomes is {1,2,3,4,5,6,7,8,9,10,11,12). Find the probability of rolling a number greater than 17.
The probability of rolling a number greater than 17 is
(Type an integer or a simplified fraction)

Answers

Answer:

i dont know

Step-by-step explanation:

i do middle school not

highschool or college

Find the solutions to the equation below.

Check all that apply.

4x^2 - 4x - 2 = 0

A. x = -1/2

B. x = 3/2

C. x = 1/2

D. x = -2

E. x = 3

F. x = 2

Answers

Answer:

A and B.

Step-by-step explanation:

4x^2 - 4x - 3 = 0    

4x^2 + 2x - 6x - 3 = 0

2x(2x + 1) - 3(2x + 1) = 0

(2x - 3)(2x + 1) = 0

x = 3/2, -1/2.

Solve the simultaneous equations
5x + y = -5
5x – 3y = 11

Answers

The solution to the simultaneous equations, 5x + y = -5 and 5x – 3y = 11, is: (-1/5, -4)

What is the Solution of Simultaneous Equations?

The solution is the pair of values of x and y that is true for both equations.

Given the simultaneous equations,

5x + y = -5

5x – 3y = 11

Subtract

4y = -16

y = -4

Substitute y = -4 into equation 1.

5x + (-4) = -5

5x - 4 = -5

5x = -5 + 4

5x = -1

x = -1/5

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A bag of oranges weighs 3/5 pounds. How much do
1 3/5 bags weigh?

Answers

The answer is 7 7/8 have a good day

A culture started with 6000 becteria. after 3 hours it grew to 7200 becteria. Predict how many bacteria will be present after 19 hours. Round your answer to the nearest whole number. p=ae^kt

Answers

Answer: 13,600.

Step-by-step explanation: every hour is 400 bacteria produced. 400x19= 7600. 7600+6000=13600

Find the area of the Rhombus below.

Answers

Answer:

90m^2

Step-by-step explanation:

1/2 d1*d2

1/2 12*15

1/2*180

90 Square meter

Sam, Luke and Laura are shopping for sporting equipment

Sam buys 4 tennis balls and 12 golf balls for a total of £19
Luke buys 6 tennis ball and 10 golf balls for a total of £22.50
Laura buys 2 tennis balls and 4 gold balls

By forming two equations and solving them, find how much Laura pays for the 2 tennis balls and 4 golf balls.

Answers

Base on the equation, the amount Laura pay for 2 tennis balls and 4 golf balls $8

How to form and solve equations?

Sam buys 4 tennis balls and 12 golf balls for a total of £19.

let

x = price of each tennis ball

y = price of each golf ball

Hence,

4x + 12y = 19

Luke buys 6 tennis ball and 10 golf balls for a total of £22.50. Hence,

6x + 10y = 22.50

Combine the equation

4x + 12y = 19

6x + 10y = 22.50

6x + 18y = 28.5

6x + 10y = 22.50

8y = 6

y = 6 / 8

y = $0.75

6x + 10(0.75) = 22.50

6x + 7.5 = 22.50

6x = 22.50 - 7.5

6x = 15

x = 15 / 6

x = $2.5

The cost when Laura pays for 2 tennis balls and 4 golf balls is as follows:

2(2.5) + 4(0.75) = 5 + 3 = $8

learn more on equation here: https://brainly.com/question/17290525

If IN = 2x + 10 and AT = 26, find x. Group of answer choices 10 8 12 6

Answers

Answer:

your answer is B. 8

Step-by-step explanation:

Substitute x for 8.

2(8)+10

16+10=26

1) At a store, 40% of all the refrigerators are silver. There are 50 silver
refrigerators at the store. How many refrigerators are at the store?

Answers

There are 125 refrigerators in total.

Explanation:

Set up an equation:

x(.40)= 50
, where x is the number of refrigerators

Solve for x

In total there are 125 refrigerators at the store.

What is percentage?

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Given that, at a store, 40% of all the refrigerators are silver.

There are 50 silver refrigerators at the store.

Let the total number of refrigerators at the store be x.

Here, 40% of x=50

40/100 ×x=50

0.4x=50

x=50/0.4

x=125

Therefore, in total there are 125 refrigerators at the store.

To learn more about the percentage visit:

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Ali is in charge of the dinner menu for his senior prom, and he wants to use a one-sample z interval to estimate
what proportion of seniors would order a vegetarian option. He randomly selects 30 of the 150 total seniors
and finds that 7 of those sampled would order the vegetarian option.
Which conditions for constructing this confidence interval did Ali's sample meet?
Choose all answers that apply:
A. the data is a random sample from the population of interest
B. np^>_10 and n(1-p^)>_10
C. individual observations can be considered independent

Answers

Answer: A: The data is a random sample from the population of interest

Step-by-step explanation: kahn

These are so hard I’m not sure how to do them :((

Answers

Answer:

8 out of 52

or

4 out of 26

Step-by-step explanation:

So you have a 52 deck of cards there are:

Number 6 cards = 4

Number 10 cards = 4

there is a 8 out of 52 chance of you pulling a 6 or 10 card

or (simplify)

4 out of 26 chance

~Denki Kaminari here~

here, this may help you on how to solve probability:

A probability is a number that reflects the chance or likelihood that a particular event will occur. Probabilities can be expressed as proportions that range from 0 to 1, and they can also be expressed as percentages ranging from 0% to 100%

The best example for understanding probability is flipping a coin: There are two possible outcomes—heads or tails.

What’s the probability of the coin landing on Heads? We can find out using the equation P(H) = ?P(H)=?P, left parenthesis, H, right parenthesis, equals, question mark.You might intuitively know that the likelihood is half/half, or 50%.  But how do we work that out?  Probability = one chance that it we can calculate/ one chance on pure probability

Formula for calculating the probability of certain outcomes for an event

Formula for calculating the probability of certain outcomes for an event

In this case:

Probability of a coin landing on heads

Probability of a coin landing on tails

Probability of an event = (# of ways it can happen) / (total number of outcomes)

P(A) = (# of ways A can happen) / (Total number of outcomes)

hope this helps :D

Each side of a square window is 39 inches long. What is the window's perimeter?

Answers

Answer:

156

Step-by-step explanation:

39x4 = 156

Simple multiplication :)

Hope this helps, and please mark me brainliest!

Answer:

156

Step-by-step explanation:

p=4 a

p=4 x 39p=156

Solve the equation below for y

3 ( y + 3 ) = 14

Answers

Answer:

y = 3/5

Step-by-step explanation:

3(y+3) = 14

3*y+3*3 = 14

3y+9 = 14

3y = 14-9

3y = 5

y = 3/5

Which point is located at (-1, 1 1/4)

A
B
C
D​

Answers

Answer: Point A.

Step-by-step explanation: To find the location of points such as (-1, 1 1/4), you need to know what part of the point is the x-axis and the y-axis.  The first part of the point is the x-axis, which is the horizontal line that goes left to right on the coordinate graph.  The first part of the point (-1, 1 1/4), is -1. The second part of the point is the y-axis, which is the vertical line that goes up and down on the coordinate graph.  The second part of the point (-1, 1 1/4), is 1 1/4. Therefore, we first find the x-axis to the point (-1, 1 1/4), which is -1, and so far, point A is the only option that matches.  However, we need to make sure that the point (-1, 1 1/4)'s y-axis matches to point A as well.  The y-axis to the point (-1, 1 1/4) is 1 1/4 so we need to go up 1 1/4 times, and the point that matches these actions is point A.  Therefore, that's your answer.

Let me know if this is right! :)

Emily threw a ball up in the air from her tree house. It followed the path given by the parabola y equals short dash 2 x squared plus 14 x plus 60, where x is the distance from the tree house (in feet), and y is the height of the ball (in feet). At what distance from the tree house did the ball strike the ground?

Answers

The distance from the tree house that the ball strike the ground is 10feet

Equation of a parabola

Given the path of the ball expressed by the parabola equation:

y = -2x^2+14x +60

The point where the ball strikes the ground is the point where y = 0. Substitute into the equation to have:
-2x^2+14x +60 = 0

x^2 - 7x - 30 = 0

Factorize the result

x^2 - 10x + 3x - 30 = 0
x(x-10)+3(x-10) = 0
x - 10 =0

x = 10

Hence the distance from the tree house that the ball strike the ground is 10feet

Learn more on function here: https://brainly.com/question/25638609


BRAINLIEST FOR HELP!! *i might possibly have answer i want to see if i did it right*a 20 ft flagpole is casting a 8.9 foot shadow, what is the suns angle?

Answers

Step-by-step explanation:

the angle of elevation of the sun is θ is related to the given sides of the right triangle (assuming the ground is horizontal and the flag pole is vertical) by tangent.

the shadow is adjacent to the angle while the flagpole is opposite to it.

so to find the angle of elevation:

arctan(20/8.9)

= 66.01 degrees

comment if you have any doubt or need further help.

Perpendicular=20ft=PBase=8.9ft=B

Angle be alpha

[tex]\\ \rm\Rrightarrow tan\alpha=\dfrac{P}{B}[/tex]

[tex]\\ \rm\Rrightarrow tan\alpha=\dfrac{20}{8.9}[/tex]

[tex]\\ \rm\Rrightarrow tan\alpha=2.25[/tex]

[tex]\\ \rm\Rrightarrow \alpha=tan^{-1}(2.25}[/tex]

[tex]\\ \rm\Rrightarrow \alpha=66.04°[/tex]

3,5,6 please help me with these

Answers

Answer:

you cant do these they are 3rd and 4th questions

Step-by-step explanation:

Answer:

You can find the answers by dividing the numbers

Step-by-step explanation:

Hmu if u still need help :)

A student recorded the distance and height of a basketball when shooting a free throw.

Distance feet X 0 2 6 9 12 13 15
Height (feet) Y 4 8.4 12.1 14.2 13.2 10.5 9.8
(a) Write the quadratic regression equation mal models the data Letx=distance in feet and let y= height in feet Round all numbers to the nearest hundredth
(b) Use the equation to estimate the height of basketball when shot from 20 feet. Show your work.​

Answers

Answer:

a) [tex]y = 0.118x^{2} +2.112x+4.215\\[/tex]

b)height = 896.2 feet

Step-by-step explanation:

for b, substitute 20 in place of x in the first equation.

Find the area of the figure A) 14 cm B) 50 cm C) 60 cm D) 64 cm​

Answers

Answer:

The answer would be 64 cm.

Step-by-step explanation:

Step 1: Identify which shapes you will do to find the area
(I did 2 and 12 and 8 and 5)
Step 2: Do 12x2 (24)
Step 3: Do 8x5 (40)
Step 4: Add 40+24 (64)
Step 5: Label
I hope this helps!

Triangle ABC has vertices at A(−3, 4), B(4, −2), C(8, 3). The triangle translates 2 units up and 1 unit right. Which rule represents the translation? After the translation, what are the coordinates of vertex A'? Q: A: A) (x, y) → ( x + 1, y + 2); (−2, 6) B) (x, y) → ( x + 2, y + 1); (−1, 5) C) (x, y) → (x − 1, y + 2); (−4, 6) D) (x, y) → (x − 2, y − 1); A(−7, 3)

Answers

Answer:

a(-2.6) b(5, 0) c(9,5)

Step-by-step explanation:

the rule is x+1 y+2 for each of the vertices

Suppose a normal distribution has 50% of its area falling to the left of x=30, and 25% of its area falling to the right of x=38. The mode of the distribution is located at x= _____
What best completes the sentence?

Enter your answer as a decimal rounded to the nearest tenth, like this: 42.5

Answers

Answer:

  mode: x = 30

Step-by-step explanation:

The mode of a normal distribution is the same as its mean and median. All are located such that half the area is below that value, and half is above.

__

If 50% of the area is left of x=30, the mean, median, and mode are all at x=30.

Solve, using the correct order of
operations, when x = 8 and y = 6.
2x - (4 + y)

Answers

Step-by-step explanation:

When x = 8 and y = 6

= 2x - ( 4 + y )

Put the value of x and y ...

= 2 × 8 - 4 × 6

Multiply 2 and 8 and 4 and 6 ...

= 16 - 24

Subtract it

= - 8

Hence...the answer is -8 ....

Find the area and the perimeter of the shaded regions below. Give your answer as a completely simplified, exact value in terms of PI (no approximations). The figures are based on semicircles or quarter circles, and problems (b), (c), and (d) involve portions of a square. Calculate area and perimeter

Answers

Check the picture below.

[tex]\stackrel{\textit{\Large Areas}}{\stackrel{triangle}{\cfrac{1}{2}(6)(6)}~~ + ~~\stackrel{semi-circle}{\cfrac{1}{2}\pi (3)^2}}\implies \boxed{18+4.5\pi} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{pythagorean~theorem}{CA^2 = AB^2 + BC^2\implies} CA=\sqrt{AB^2 + BC^2} \\\\\\ CA=\sqrt{6^2+6^2}\implies CA=\sqrt{6^2(1+1)}\implies CA=6\sqrt{2} \\\\\\ \stackrel{\textit{\Large Perimeters}}{\stackrel{triangle}{(6+6\sqrt{2})}~~ + ~~\stackrel{semi-circle}{\cfrac{1}{2}2\pi (3)}}\implies \boxed{6+6\sqrt{2}+3\pi}[/tex]

notice that for the perimeter we didn't include the segment BC, because the perimeter of a figure is simply the outer borders.

The circumcenter of a triangle can lie on one of the edges if the triangle is:

Select the best choice from the answers provided.
A.
Right
B.
Acute
C.
Obtuse
D.
none of the above choices are correct.

Answers

Answer:

B. Acute

Step-by-step explanation:

the hypotenuse for right triangles and lies outside the triangle for obtuse triangles. The circumcenter coincides with the midpoint of the hypotenuse if it is an isosceles right triangle.

I think Acute is the answer

an effort to make room for new inventory, a college bookstore runs a sale on least popular mathematics books. The sales rate (books sold per day) on day of the sale is predicted to be 60 / t (for t >= 1), where t = 1 corresponds to the beginning of the sale, at which time none of the inventory of 595 books had been sold.

A) Find a formula for the number of books sold up to day t. S(t)=

B) Will the store have sold its inventory of 595 books by day t = 30? “Yes” or “No”

Answers

Answer:

The sun, eight plants and some other celestial

Answer:1

Step-by-step explanation:

The sun, eight plants and some other celestial

Solve the given equation. (Enter your answers as a comma-separated list. Let k be any integer. Round terms to three decimal places where appropriate. If there is no solution, enter NO SOLUTION.)


A). (tan(x) − 4)(9 sin^2(x) − 1) = 0

B). 3 sin(2x) − 4 sin(x) = 0

Answers

Answer:

Step-by-step explanation:

A)[tex](tanx-4)(9sin^2x-1)=0\\\\\\[/tex]

[tex]9sin^2x-1=0\\\\sin^2x=\frac{1}{9} sinx=\frac{1}{3}[/tex] or [tex]sinx=\frac{-1}{3}[/tex]

OR    [tex]tanx=4\\[/tex]

B)

[tex]3sin2x=3.2.sinx.cosx\\\\6.sinx.cosx-4.sinx= 2sinx.(3cosx-2)=0\\\\3.cosx=2 cosx=\frac{2}{3}[/tex]

Which of the following is a person who supports or believes in the philosophy of communism?
A. Communist
B. Nihilist
C. Fascist

Answers

Answer:

ITS DEFINITELY A

Step-by-step explanation:

help pls! The pair of figures to the right are similar. Compare the first figure to the second. Give the ratio of the perimeters and the ratio of the areas.

Answers

Step-by-step explanation:

the scaling ratio is 12/20 = 3/5.

this always applies only to one-dimensional distances, lengths.

the perimeter is calculated as the sum of individual lengths. so while each length is scaled by the same ratio, also the sum is then scaled by that ratio.

p_old = a + b + c

p_new = ra + rb + rc = r(a + b + c) = r×p_old

so, the ratio for the perimeter is also 3/5.

for the area this is a bit different, as an area is always calculated by multiplying 2 lengths (other unscaled factors can be ignored for that consideration of relative change), and that means the scaling ratio has to be multiplied in twice.

a_old = a × b

a_new = ra × rb = r² × a×b = r² × a_old

so, the ratio for the area is

(3/5)² = 9/25

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