In a unit circle, the point (-0.5,0.866) lies on the terminal side of an angle, theta. What is the sine of this angle?

Answers

Answer 1

Answer:

Step-by-step explanation:

The unit circle has a hypotenuse of 1.

[tex]sin\theta=\frac{y}{h}\\ \\ sin\theta=0.866[/tex]


Related Questions

Please help anyone please

Answers

Answer:

A=(-5,-4)

B=(-5,-1)

C=(-2,-1)

Step-by-step explanation:

Plz help me!! I’m having a bit of trouble

Answers

18

18-6=12

Factor in 18

Answer:

x= 27

Step-by-step explanation:

help me plz branniest to whoever is right

Answers

Answer:

x= -7, x=8

Step-by-step explanation:

factoring method..

f (x) = - x² + 12x - 20

= - x² + 10x + 2x - 20

= - x( x - 10 ) + 2( x - 10 )

= ( x - 10 ) ( -x + 2 )

=> x = 10, x = 2

Question 8 of 11
A triangle has two sides of length 10 and 10. What value could the length of
the third side be? Check all that apply.
A. 5
B. 3
O C. 11
O D. 19
E. 21
O F. 25

Answers

By definition a triangle's third side must be larger than the difference of the other two sides (so in this case 10-10 = 0, so it must be larger than 0) and smaller than the sum (so 10+10 = 20 so it must be smaller than 20). Because this is not a specific type of triangle such as a right triangle, this is really the only rule that applies in this problem, so everything except E and F apply.

can somebody help me with math TwT:

question one 1: Which number(s) are 6 units from zero on a number line?

1. 3
2. 6
3. -6
4. 12

----------------------------------------------------------------------------
Question 2 ^^: Which comparison is not correct?

1. -3 < 4
2. 3 < 6
3. 1 > -9
4. -8 > -6

tell me the answers also for question 1 its either one or more than one answer ^^ ty and please don’t steal my points :(

Answers

1. 12 (i think)

i don't know about question 2

Answer: -8 > -6

Step-by-step explanation:

There are how many halves in 2 1/2

Answers

Answer:

there are 5 halves in 2 1/2

Answer:

5

Step-by-step explanation:

1/2 +1/2 = 1

A flying squirrel's nest is 12 feet high in a tree. From its nest, the flying squirrel glides 13 feet to reach an acorn
that is on the ground. How far is the acorn from the base of the tree? Draw a picture and show your work.

Answers

Answer: the answer should be 5

if you draw a right triangle 12 would be the line that goes up (A) and 13 would be the slanted line (C) so that leaves the bottom line to be C.

hope this helps!

Step-by-step explanation:

[tex]A^{2} +B^{2} =C^{2} \\12^{2} +B^{2} =13^{2} \\144+B^{2} =169\\-144 -144\\\sqrt{B^{2} } =\sqrt{25} \\ B=5[/tex]

Which of the following best classifies a quadrilateral with coordinates A(7,0), B(3, 1), C(4,7), and D(8, 6)?
A.Rectangle
B.Parallelogram
C.Trapezoid
D.Square

Answers

Answer:

B. Parallelogram

Step-by-step explanation:

The opposite sides of the quadrilateral are equal and so the quadrilateral is a rectangle, the correct option is A.

What is a Quadrilateral?

A quadrilateral is a polygon with four sides.

The coordinates of a quadrilateral are:

A(7,0), B(3, 1), C(4,7), and D(8, 6)

The distance between the coordinates has to be determined to identify the type of quadrilateral

The distance formula is

[tex]\rm D = \sqrt { ( x- x_1)^2 + (y-y_1)^2}[/tex]

[tex]\rm AB = \sqrt { (3-7)^2 + (1-0)^2}\\AB = \sqrt { 17}[/tex]

[tex]\rm BC = \sqrt { ( 1)^2 + (6)^2}\\BC = \sqrt {37}[/tex]

Similarly,

[tex]\rm CD= \sqrt { 17}\\\\AD = \sqrt{37}[/tex]

The opposite sides of the quadrilateral are equal and so it is a rectangle.

To know more about Quadrilateral

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find the time required for an investment of $3000 to grow to $8000 at an interest rate of 7.5% per year, compounded quarterly ( round the answer to two decimal places)​

Answers

Answer:

13.20 years

Step-by-step explanation:

Investment P = $3000Final amount F =  $8000Interest rate r = 7.5% = 0.075Compound number n = 4Time t = ?

Formula:

F = P(1 + r/4)^(4t)

Solve for t:

8000 = 3000(1 + 0.075/4)^(4t)8/3 = 1.01875^(4t)4t log 1.01875 = log (8/3)4t = 0.42596 / 0.008067t = 1/4(52.80)t = 13.20

which value from the set makes 12n-15=42 true?
A.2.25
B.2.8
C.3.5
D.4.75​

Answers

D. 4.75

If you substitute n for 4.75, and multiply 12(4.75), you get 57. Then subtract 15, and you get 42.
the answer to your question is D, 4.75

-3(4x - 2) = 42

A x=3
B x=-3
C x=3.67
D x=7

Answers

Answer:

B) x=-3

Step-by-step explanation:

-3(4x-2)=42

4x-2=42/-3

4x-2=-14

4x=-14+2

4x=-12

x=-12/4

x=-3

What do u think 2+2 is can u tell me ?

Answers

Answer:

the answer is 4 your welcome

Answer: bro its 22. It's ez math. 2 + 2 = 22

Step-by-step explanation:

You just combine the numbers piece of ice cream It's actually peace of cake but I like ice cream more sooo yuh)

a map has a scale of 1 cm :15.5 km two cities are 2.3 cm apart on the map. to the nearest tenth of a kilometer,whatis the actual distance corresponding to the map distance​

Answers

Answer is in link

thylakoids.ml/5dHq

Solve the equation. 7x = 3x^2 - 1

Answers

Answer:

Step-by-step explanation:

Answer:

If you still need help search up Mathaway it gives u the answer to all your problems and it gives a step by step explination

Step-by-step explanation:

Subtract

3

x

2

from both sides of the equation.

7

x

3

x

2

=

1

Add

1

to both sides of the equation.

7

x

3

x

2

+

1

=

0

Use the quadratic formula to find the solutions.

b

±

b

2

4

(

a

c

)

2

a

Substitute the values

a

=

3

,

b

=

7

, and

c

=

1

into the quadratic formula and solve for

x

.

7

±

7

2

4

(

3

1

)

2

3

Simplify.

Tap for more steps...

x

=

7

±

61

6

The final answer is the combination of both solutions.

x

=

7

+

61

6

,

7

61

6

The result can be shown in multiple forms.

Exact Form:

x

=

7

+

61

6

,

7

61

6

Decimal Form:

x

=

2.46837494

,

0.13504161

Stuck on this question need help

Answers

yes the answer is 12,56

Answer:

YES

Step-by-step explanation:

Area: πx r^2

πx2^2

3.14x4

=12.56

so the answear is yes

n a typical 2-pound bag of M&Ms contains 500 individual pieces, of which... 120 are blue, 70 are brown, 80 are green, 100 are orange, 60 are red, and 70 are yellow. If I randomly select one M&M candy from the bag, what is the probability that candy will be red?

Answers

Answer:

60/500 or 3/25

Step-by-step explanation:

Hana is putting in a tile floor she needs to determine the angles that should be cut in the tires to fit in the corner that angle in the corner measures 90° one piece of the tire will have a measure of 38 degrees write an equation and use it to determine the measure of the unknown angle​

Answers

Answer:

x = 52°

Step-by-step explanation:

I have attached an image to depict the given angles.

From the attached image, we can see that the unknown angle is x°.

Thus, since that corner is 90°, then;

x + 38 = 90

Subtract 38 from both sides to get;

x = 90 - 38

x = 52°

I WILL GIVE BRAINLIEST!! PLEASE HURRY


Use the excerpt below taken from the Preamble of the United States Constitution to answer the following question:

"We the People of the United States, in Order to form a more perfect Union, establish Justice, insure domestic Tranquility, provide for the common defense, promote the general Welfare, and secure the Blessings of Liberty to ourselves and our Posterity, do ordain and establish this Constitution for the United States of America."
—Public Domain

What aspect of Enlightenment influence on the early United States government does this excerpt of the U.S. Constitution illustrate? (5 points)

It gives power to the people rather than God, the Church, or the king.
It rejects the concept of social class in the American system.
It promotes the popular concept of the freedom of speech.
It encourages the development of the separation of church and state.

Answers

Answer:

B. It rejects the concept of social class in the American system.

Explanation:

The Enlightenment of the American Colonies was a period in time where the people were encouraged to become their own nation. This period was represented by many speeches and pieces of writing that boasted freedom of speech, equality, freedom of the press, and religious tolerance.

This specific piece of writing focuses on the aspect of all people in the nation of America having protected freedoms and rights to become their own people.

-13 > x -43 solve the inequality and enter your solution as inequality comparing the variable to the solution

Answers

Answer:

30 > x

Step-by-step explanation:

-13 > x-43

-13 + 43 > x -43 + 43

30 > x

Many utility companies promote energy conservation by offering discount rates to consumers who keep their energy usage below certain established subsidy standards. A recent EPA report notes that 70% of the island residents of Puerto Rico hae reduced their electricity usage sufficiently to qualify for discounted rates. If five residential subscribers are randomly selected from San Juan, Puerto Rico, find the probability of each of the following events.a. All five qualify for the favorable rateb. At least four qualify for the favorable rates

Answers

Answer:

a. 0.1681 = 16.81% probability that all five qualify for the favorable rate.

b. 0.5283 = 52.83% probability that at least four qualify for the favorable rates

Step-by-step explanation:

For each Puerto Rico resident, there are only two possible outcomes. Either they qualify for discounted rates, or they do not. The probability of a person in the sample qualifying for discounted rates is independent of any other person in the sample. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

70% of the island residents of Puerto Rico have reduced their electricity usage sufficiently to qualify for discounted rates.

This means that [tex]p = 0.7[/tex]

Five residential subscribers are randomly selected from San Juan, Puerto Rico

This means that [tex]n = 5[/tex]

a. All five qualify for the favorable rate

This is P(X = 5). So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 5) = C_{5,5}.(0.7)^{5}.(0.3)^{0} = 0.1681[/tex]

0.1681 = 16.81% probability that all five qualify for the favorable rate.

b. At least four qualify for the favorable rates

This is

[tex]P(X \geq 4) = P(X = 4) + P(X = 5)[/tex]

So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 4) = C_{5,4}.(0.7)^{4}.(0.3)^{1} = 0.3602[/tex]

[tex]P(X = 5) = C_{5,5}.(0.7)^{5}.(0.3)^{0} = 0.1681[/tex]

[tex]P(X \geq 4) = P(X = 4) + P(X = 5) = 0.3602 + 0.1681 = 0.5283[/tex]

0.5283 = 52.83% probability that at least four qualify for the favorable rates

Karim began his day by drinking 1 1/8

cups of milk at breakfast. By the end of the day, he drank a total of 2 2/3

cups of milk.


Which equation and solution correctly represent the amount of milk in cups, m , Karim drank after breakfast?

Answers

Answer:

A. 1⅛ + m = 2⅔

[tex] m = 1\frac{13}{24} [/tex]

Step-by-step explanation:

Cups of milk at breakfast = 1⅛

Cups of milk after breakfast = m

Total cups of milk by the end of the day = 2⅔

Thus:

Total cups of milk by the end of the day = cups of milk at breakfast + cups of drink after breakfast

Therefore:

1⅛ + m = 2⅔ (equation)

Solve for m

Subtract 1⅛ from each side

m = 2⅔ - 1⅛

Convert to improper fraction

m = 8/3 - 9/8

m = (64 - 27)/24 = 37/24

[tex] m = 1\frac{13}{24} [/tex]

can somebody help me with math I have 3 more questions OWO:

If Jeff drives 200 miles per hour in his race car, and this relationship is graphed, which ordered pair would not be on the graph?

1. (2, 400)
2. (0, 0)
3. (8, 1,600)
4. (5, 1,200)

please don’t steal all my points UwU :( :’)

Answers

4. If he had driven for 5 hours the X coordinate would be 1000.

The ordered pair would not be on the graph is (5, 1200)

The correct option is (4).

What is Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

If Jeff drives 200 miles per hour in his race car.

So, if we denote the distance by y and time by x then relation is

y = 200x

For x = 0

y=0

and, x= 2

y= 400

and, x= 8

y= 1600

and, x= 5

y = 1000

Hence, the point not on the graph is (5, 1200)

Learn more about Equation here:

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There are 120 people in a sport centre.
78 people use the gym.
46 people use the swimming pool.
45 people use the track.
21 people use the gym and the pool.
16 people use the pool and the track,
24 people use the gym and the track.
9 people use all three facilities,
Given that a randomly selected person uses at least two facilities, what is the probability they
use all the facilities?

Answers

Answer:

43/120 ≈ 0.3583

Step-by-step explanation:

Adding up the folks who use two facilities counts the folks who use all three 3 times. So, the number who use two or more facilities is ...

 21 +16 +24 -2(9) = 43 . . . . people who use 2 or more facilities

The probability that a person chosen randomly from the 120 at the sports center uses at least 2 facilities is ...

43/120 ≈ 0.3583

_____

The given numbers add up as follows:

 Gym only: 42

Pool only: 18

Track only: 14

Gym and Pool only: 12

Gym and Track only: 15

Pool and Track only: 7

Gym and Pool and Track: 9

No facilities: 3

Find the area of of a regular octagon with side length 20 cm.

Answers

A=2(1+[tex]\sqrt{2}[/tex])a^2=2·(1+[tex]\sqrt{2}[/tex])·20^2≈1931.37085cm²

What is the value of x?


Enter your answer in the box.

x =

$\text{Basic}$
$x$$y$$x^2$$\sqrt{ }$$\frac{x}{ }$
$x\frac{ }{ }$
$x^{ }$$x_{ }$$\degree$$\left(\right)$$\abs{ }$$\pi$$\infty$
The figure shows 2 right triangles, triangle K L J with right angle J and triangle L J M with right angle M. The measure of angle L K J is 30 degrees. The measure of angle L J M is 45 degrees. The length of side K L is 8 square root 2. The length of side L M is x.

Answers

Answer:

4

Step-by-step explanation:

I took the quiz, here's proof

No links please and make sure its correct.

Answers

Answer:

it is B

Step-by-step explanation:

he is putting in by the 3/5

Answer:

C.

Step-by-step explanation:

Why its C...

You can tell that on the top it say that the total is 15 so it can not be a. So now our answer choices are B, C, ad D.

Now it says that there are 3/5 highlighted but since the rest say 3/5 we can not eliminate yet.

Next we would multiply 3 x 3 to get 9 for how many dollars there are. Cross out B.

Between C and D, C is the most reasonable answer because it says how much did he put in the bank while the other one (D) says how much did he spend?

So it would be C

Hope this helps :)

Help please asap !!!

Answers

9514 1404 393

Answer:

v(t) = $342,000×1.06^tv(8) = $545,096v(15) = $819,623

Step-by-step explanation:

When the growth (or decay) amount is a fraction or percentage of the current amount, an exponential model is indicated. Here, it will be of the form ...

  value = (initial value) × (1 + (growth rate))^t

where t is the time period corresponding to the growth rate.

We are given that the initial value is $342,000 and the growth rate is 6% in a year. So, the model can be ...

  value = 342,000×1.06^t . . . . . where t is years after 2017

__

In 2025, we are 8 years after 2017, so the value is predicted to be ...

  value = $342,000×1.06^8 ≈ $545,096 . . . in 2025

__

In 2032, we are 15 years after 2017, so the value is predicted to be ...

  value = $342,000×1.06^15 ≈ $819,623 . . . in 2032

Given that triangle ABC has angle ABC = 90 degrees, AB = 6 cm and BC = 9 cm. Calculate the length of AC in cm to 1 decimal place

Answers

Answer:

AC = 6.7

Step-by-step explanation:

If this is a 90 degree triangle which I am assuming it is you would the Pythagorean theorem c^2 = a^2 + b^2 since bc seems long I am using that as the hypotenuse.

9^2 = 6^2 + b^2

81 = 36 + b^2

81-36 = b^2

45 = b^2

6.7 = b

so AC = 6.7

A spinner has 3 equal sections that are purple, green, and blue. What is the probability of not landing on blue?

Answers

Answer:

P(not landing on blue section)=2/3

Step-by-step explanation:

Not landing on blue section = landing on one of the other sections

the remaining sections are 2 each one has a P=1/3

2 × 1/3 = 2/3

Answer:

66%

Step-by-step explanation:

2 divided by 3= 0.666666666 which is then converted to percent (66%)

Work out m and c for the line:
y = x + 6

Answers

Step-by-step explanation:

Given equation

y = x + 6

Comparing the given equation with y = mx + c so

slope (m) = 1

y-intercept (c) = 6

Hope it will help :)❤

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