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

what would be the best response to the question in the picture above please respond soon. (will give brainliest)

Now consider the product of a nonzero rational number and an irrational number. Again, assume x = where a and b are integers and b#0. This time lety be an irrational number. If we assume the product x.y is rational, we can set the product equal to where mand n are integers and n = 0. The steps for solving this equation for y are shown. Statement Reason cy= 02 72 D.y= substitution 8 y = multiplication property of equality a mb na Simplify Based on what we established about the classification of y and using the closure of integers, what does the equation tell you about the type of number y must be for the product to be rational? What conclusion can you now make about the result of multiplying a rational and an irrational number? ​

Answers

Answer:

The product of a rational number with an irrational number is an irrational number. To see this assume that x is a rational number and y an irrational number. Then let us assume that the product xy is rational, which means that there are integers a,b such that xy=a/b. But then we obtain y=(1/x)(a/b) which is also rational since the set of rational numbers is closed under multiplication. But this is a contradiction since y was assumed to be an irrational number.

Step-by-step explanation:

Question:Now consider the product of a nonzero rational number and an irrational number. Again, assume x =a/b , where a and b are integers and b ≠ 0. This time let y be an irrational number. If we assume the product x · y is rational, we can set the product equal to m/n, where m and n are integers and n ≠ 0. The steps for solving this equation for y are shown. Based on what we established about the classification of y and using the closure of integers, what does the equation tell you about the type of number y must be for the product to be rational? What conclusion can you now make about the result of multiplying a rational and an irrational number?

Answer:2

What is a self portrait______
A. A portrait done by the artist of his or herself
B. An artistic photo of a group of people including yourself
C. A portrait of shelves
D. A selfie

Answers

option A

hope it helps...!!

Please help as fast as possible

Answers

[tex]\rm Answer:[/tex]

20.125%

To find the relative frequency, divide the frequency(f) by the total number of data values (n).

[tex]\rm \# KiroToshiroComeback[/tex]

MAX POINTS help me

The amplitude of this graph is 3 the maximum is 4 the minimum is -2 the period is 4 and the midline is 1 how would the function be written?

Answers

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

The required equation is :

[tex]\qquad \sf  \dashrightarrow \:a \sin(bx) + c[/tex]

Now, let's find the required values :

period (p) = 4

[distance between any successive Crest or trough]

a = - 3 (flipped)

b = 2π/p = 2π/4 = π/2

k = 1

Distance of starting position from origin = k

Now, plug in the values ~

[tex]\qquad \sf  \dashrightarrow \: - 3 \sin( \frac{ \pi}{2}x ) + 1[/tex]

General equation:-

Asin(bx)+c

So

Amplitude=A=-3

Min=-2 ,max=4

Hence

b=|(mn)|π/mxb=|-2|π/4b=2π/4b=π/2

midline =c=1

So plugin the values

y=-3sin(π/2x)+1

Reduce the fraction 1602
-450

Answers

Answer:

the redued version of the fration 1602/420 is 3 14/25

Answer:

89/25

Step-by-step explanation:

you divide 1602 and 450

(2x > 10) list some values for x that would make this inequality true

Answers

Answer:

6,7,8,9

Step-by-step explanation:

> means Greater than

< means Less than

Thus,

Any number that greater than 10 would make this inequality true..

Some possible values for x can be:

6,7,8,9,11,12,13,14,15,16,17,18 and so on

[RevyBreeze]

Suppose that $500 is deposited into an account that pays 5.5% interest compounded
quarterly. How long will it take for the account to contain at least $1400? Round to the
nearest whole number.

Answers

Answer:

18.85 years

Step-by-step explanation:

Using the [tex]A=P(1+\frac{r}{n} )^{nt}[/tex] we can manipulate it to give us time.

However, let's identify our variables:

A is our final amount which is given to us, $1400.

P is our principle which is $500.

r is our rate which is 5.5% which can be traducted into 0.055.

n is the # of time our money get compounded per year, in this case quarterly means 4 times a year therefore n = 4.

t is time and is what we are trying to solve for.

Now let's manipulate our equation to find t:

[tex]A=P(1+\frac{r}{n} )^{nt}[/tex]

[tex]\frac{A}{P} =(1+\frac{r}{n} )^{nt}[/tex]

[tex]\frac{1400}{500} =(1+\frac{0.055}{4} )^{4t}[/tex]

[tex]2.8=1.01375^{4t}[/tex]

[tex]log_{1.01375}(2.8)=log_{1.01375}1.01375^{4t}[/tex]

[tex]log_{1.01375}(2.8)=4t[/tex]

[tex]\frac{log_{1.01375}(2.8)}{4} =t[/tex]

[tex]18.84876253=t[/tex]

It would take about 18.85 years in order for you to accumulate at least $1400.

Kira is a lovable dog who is full of energy. Her owner thought it would be fun to train her by throwing a frisbee for her to catch. When the frisbee is thrown, it follows a parabolic path that is modeled by the function h(t) = – 0.07t2 + 0.007t + 5. How many seconds will it take for the frisbee to hit the ground?

Answers

Solving the quadratic equation, it is found that it will take 8.5 seconds for the frisbee to hit the ground.

What is the equation for the frisbee's height?

It is given by:

h(t) = -0.07t² + 0.007 + 5.

Which is a quadratic function with coefficients a = -0.07, b = 0.007, c = 5.

It hits the ground when h(t) = 0. Hence, the solution is found as follows.

[tex]\Delta = (0.007)^2 - 4(-0.07)(5) = 1.400049[/tex]

[tex]x_1 = \frac{-0.007 + \sqrt{1.400049}}{2(-0.07)} = -8.4[/tex]

[tex]x_2 = \frac{-0.007 - \sqrt{1.400049}}{2(=0.07)} = 8.5[/tex]

It will take 8.5 seconds for the frisbee to hit the ground.

More can be learned about quadratic equations at https://brainly.com/question/24737967

If there is 54% increase on a $54 item, then how much is the new cost for next year? Round to the nearest penny.

Round your answer to 2 decimal places.

Answers

Answer: $83.16

Step-by-step explanation:

     This means that next year the item will cost 154% of what it is now.

154% / 100 = 1.54

$54 * 1.54 = $83.16

                    Next year the item will cost $83.16.

find the period pls help asap

Answers

To find the period

  ⇒ let's define what the period is

Definition of Period:  the interval of time between successive occurrences of the same state in an oscillatory or cyclic phenomenon

Based on the definition:

     ⇒it states that we must look for how long it takes the function to

         complete one cycle of repetition

In this graph: it takes [tex]\pi /2[/tex] to complete one period or one cycle of repitition

Answer: [tex]\frac{\pi }{2}[/tex]

Hope that helps!

Find the set of values of m for which the line with equation y = mx + 1 and the curve with equation y = 3x^2+ 2x + 4 intersect at two distinct points.

Answers

Answer:

Given : line y=mx+4 intersects the curve y=3x2 −4x+7at two distinct points.

To find :   set of values of m

Step-by-step explanation:

y = mx  + 4

y = 3x² − 4x + 7

Substitute y = mx + 4  to find intersection point

mx + 4  = 3x² − 4x + 7

=>  3x² - x(m + 4) + 3 = 0

(m + 4)² > 4(3)(3)  

=> m² + 8m + 16 >  36

=> m² + 8m - 20 >  0

=> (m + 10)(m - 2) >  0

m <  - 10  & m > 2

m  = (-∞ , - 10) ∪ ( 2 , ∞ )

Help please, this is due on April 18th tmr. :/

Answers

Answer:

m<RUS = 65°

m<UST = 15°

Step-by-step explanation:

Hi there!

We are given circle O, with a diameter of US

The measure of arc RU is 50°, and the measure of arc UT is 30°

We want to find the measure of <RUS and <UST

First, let's start with <RUS
As stated before, we were given the diameter of a circle - that is segment US

Notice how ΔRUS (which contains <RUS) contains the diameter US - this means that the portion of the circle that contains ΔRUS is a semicircle.
If that portion is a semicircle, then that means that m<URS is 90°

Next, we know that the measure of arc RU is 50°

Notice how <RSU is an inscribed angle, meaning that it is created by 2 chords, and that its vertex is on the circle itself

Inscribed angles are half the measure of the arcs they intercept. The arc that <RSU intercepts is arc RU, which means that the measure of <RSU is 25°

Now, to find m<RUS, you can do m<URS - m<RSU, as the acute angles in a right triangle add up to 90°

In that case:

m<RUS = m<URS - m<RSU

via substitution, m<RUS = 90° - 25°

m<RUS = 65°


Now we need to find the measure of <UST

Notice how m<UST is also an inscribed angle

The arc it intercepts is arc UT, which we were given has a measure of 30 degrees

Therefore, m<UST = half of the measure of arc UT

Via substitution,

m<UST = 1/2 * 30

m<UST = 15°

Hope this helps!

what is the solution to the system of equations graph below

Answers

[tex]\large\pink{\mid{\underline{\overline{\tt { →\: (-5,1)}\mid}}}}[/tex]

Option ( A ) → (-5,1)Intersecting lines→ When two lines share exactly one common pointcuz here,the pôint where two lines meet is (-5,1) hence this is the solution of above graph.x = -5 , y = 1_______________☃️

[tex]\sf{\:мѕнαcкεя\: ♪...}[/tex]

Find the area of each. Round to the nearest tenth.

Answers

Answer:

346.361 Yd^2 rounded to the nearest tenth is 346.4 Yd^2

Step-by-step explanation:

The area of a disk is A=π[tex]R^2[/tex] where R=10.5 yard.

Answer:

346.2 yd^2

Step-by-step explanation:

Area of a circle: π*r^2π = 3.14radius (r) = 10.5 yd

π*r^2 <== substitute the numbers for pi(π) and radius(r)

3.14*10.5^2

3.14*110.25

346.185 <== round to the nearest tenth

346.2 yd^2

Hope this helps!

Fill in the blanks below to complete
the rules for even and odd numbers.

1. Even + Even =

Show an example to prove your answer.


2. Odd + Odd =

Show an example to prove your answer.


3. Even + Odd =

Show an example to prove your answer.

Answers

Step-by-step explanation:

1) Even + Even = Even

example : 26 + 22 = 48

2) Odd + Odd = Even

example : 11 + 13 = 24

3) Even + Odd = Odd

example : 43 + 2 = 45

Find the distance between the two points in simplest radical form
(6,-4) and (1,-6)

Answers

Answer
[tex]\sqrt29[/tex]

Step-by-step explanation:

1. Write the distance formula:

[tex]\sqrt(x_{2}-x_{1})^{2} + (y_{2}-y_{1})^{2}[/tex]

2. Substitute

Substitue (6, -4) and (1, -6) into

[tex]\sqrt(x_{2}-x_{1})^{2} + (y_{2}-y_{1})^{2}[/tex]

[tex]\sqrt(1 - 6) ^{2} + (-6 + 4)^{2}[/tex]

3. Calculate

[tex]\sqrt(1 - 6) ^{2} + (-6 + 4)^{2}[/tex]

[tex]\sqrt(-5) ^{2} + (-2)^{2}[/tex]

[tex]\sqrt5 ^{2} + 2^{2}[/tex]

[tex]\sqrt25 + 4[/tex]

[tex]\sqrt29[/tex]

Jason and his three friends went bowling. They bowled all afternoon and each paid $3.25 per game. Jason had a coupon for one free game. Three of his friends paid $2.75 each to rent shoes. Using this information, Jason writes the expression 3.25\left(g-1\right)+2.75\left(3\right). What does Jason’s expression represent? the number of friends who bowled the number of friends who bowled the number of games Jason and his friends bowled the number of games Jason and his friends bowled the amount of money Jason saved using the coupon the amount of money Jason saved using the coupon the amount of money Jason and his friends spent that afternoon

Answers

The expression 3.25(g-1) + 2.75(3) by Jason and his friends is a linear expression

The number of friends who bowled is 3The number of games Jason and his friends bowled is gThe amount of money Jason saved using the coupon is 3.25 The amount of money Jason and his friends spent that afternoon is 3.25(g-1) + 2.75(3)

How to interpret the expression?

The expression is given as:

3.25(g-1) + 2.75(3)

The above expression means that:

-1 represents the coupon on one free game3.25 represents the amount paid per game2.75 represents the amount paid to rent a shoe3 represesents the number of shoes they rent

Read more about linear expressions at:

https://brainly.com/question/14323743

What is the domain and range? what type of relation is this

Answers

Domain will be the list of x values. Range will be the list of y values.

Help. I will give points

Answers

Answer:

arc sr

Step-by-step explanation:

i can't see the options for the question so lol

im gonna say its sr arc

The graph of a function g is shown below.
Find g(1) and find one value of x for which g(x)=-1.

1) g (1) = ?

2) one value of x for which g (x) = -1 ?

Answers

Answer:

this is wrong

is the answer

if you like my answer please like comment and mark me as brilliant

PLEASE HELP
The pictures to the right show how much sausage and pepperoni pizza was left at the end of one day. Which fraction represents how much more sausage pizza then pepperoni pizza was left?

Answers

Answer:

3/8

Step-by-step explanation:

There was 4/8 (or 1/2) of the pepperoni pizza left, and there was 7/8 of the sausage pizza left. To find out how much more sausage pizza was left than pepperoni pizza, you have to subtract the amount of pepperoni pizza remaining from the amount of sausage pizza remaining.

sausage pizza left - pepperoni pizza left = how much more sausage pizza than pepperoni pizza is left

Now, let's fill in the numbers.

7/8 - 4/8 = ?

7/8 - 4/8 = 3/8

Therefore, there was 3/8 more sausage pizza than pepperoni pizza left.

I hope this helps! Have a lovely day!! :)

Answer:

3/8

Step-by-step explanation:

So there is 7/8 sausage left and 4/8 pep left. The difference between the two is three slices (7/8 - 4/8) which is 3/8th of the whole pizza. This means that 3/8 represents the amount of pizza sausage has that pepperoni doesnt

3d + d what do i put this is Confusing

Answers

Answer:

4d

Step-by-step explanation:

i think any variable alone with no coefficient equals one

so this problem is like adding the terms 3d + 1d

so 1+3=4

and you use the variable d at the end

therefore the answer would be 4d

hope this helped<3

Answer:

4d

Step-by-step explanation:

3d+d this means 3d+1d because any variable without a coefficient is 1

which means

3d+1d

=4d

hope this helps!!!

Help picture below problem 19

Answers

Answer:

it's rectangle...

Step-by-step explanation:

mark me brainliest

Answer:

that's C. Its' a rectangle

It has 2 pairs of parallel sides. and they are the same size.

Kevon Webster will bring hamburgers to grill. There are four patties per pound. He buys 28 pounds
How many patties can he make?

Answers

Answer:

112

Step-by-step explanation:

4x28=112

solve for x ~
[tex]81x - 27x = 9[/tex]



thankyou ~​

Answers

Listen ducky: 81x-27x=9

54x=9

X=1

---

6

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

Here we go ~

[tex]\qquad \tt \dashrightarrow \:81x - 27x = 9[/tex]

[tex]\qquad \tt \dashrightarrow \:9(9x - 3x )= 9[/tex]

[tex]\qquad \tt \dashrightarrow \:(9x - 3x )= 1[/tex]

[tex]\qquad \tt \dashrightarrow \:6x = 1[/tex]

[tex]\qquad \tt \dashrightarrow \:x = \cfrac{1}{6} [/tex]

Simplify the expression. 20 • 5–2

a) 25
b) –500
c) –200
d) 4/5

Answers

Answer: D) 4/5

Hope this helps :)

Given that (-2,-2) is on the graph of f(x), find
the corresponding point for the function
f(x) +5.
Enter the correct answer.

Answers

Answer: The corresponding point for the function 4f(x) is (5 , 24)

Step-by-step explanation:

no

Calculate the magnitude of :
1.1.
[tex] \alpha [/tex]

Answers

Answer:

135°

have a nice day

hope it helps

What is 5389 rounded off to the nearest 100?

Answers

Answer:

5400

Step-by-step explanation:

the 89 is higher then 5 so it would round the 3 up to a 4

Answer:

5389 rounded to the nearest 100 is 5400

Step-by-step explanation:

we round the number up to the nearest 100 if the last 2 digits  of the number are 50 an d over we round the number down to the nearest 100 if the last 2 digets are 49 and below

Good people please help me!!!! ​

Answers

Answer:

P=90°

R=45°

Step-by-step explanation:

PQR=180°

180°-45°=135°

R=45°(iscoles triangle)

P=90°

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