The terminal side contains the point (-5, 12). Find sin θ.

Question 4 options:

-.923


-.385


.923


.385

Answers

Answer 1

Answer:

sin theta = .923

Step-by-step explanation:

see image. An angle in standard position has one side glued to the x-axis, and the other side-the terminal side- rotating around the origin. When it gets to (-5, 12) in your problem, it stops there. 5, 12are the legs of a right triangle and they are recognizable as part of a pythagorean triple 5,12,13. So the hypotenuse is 13. Sin is OPP/HYP. So that is 12/13. Its in the 2nd quadrant, so it should be positive. We used the reference angle, bc the actual angle is the >90° angle from the positive x-axis to thru (-5,12). It calcs the same tho.

sin theta = 12/13

= 0.923

The Terminal Side Contains The Point (-5, 12). Find Sin .Question 4 Options:-.923-.385.923.385
Answer 2

Answer:

  (c)  0.923

Step-by-step explanation:

The coordinates of a point on the unit circle are (cos(θ), sin(θ)). That is, the y-coordinate of a point on the terminal ray will have the same sign as the sine of the angle. Here, the sign of the sine is positive, eliminating the first two answer choices.

We know that cos(θ) < sin(θ) for reference angles greater than 45°, where both values are √2/2 ≈ 0.707. Since 5 < 12, that means the angle of interest here will have a sine that is more than 0.707. Only one of the positive answer choices is in this range: sin(θ) ≈ 0.923.

_____

Additional comment

The value of sin(θ) is precisely ...

  sin(θ) = y/√(x²+y²) = 12/√(25+144) = 12/13

  sin(θ) = 0.923076...(6-digit repeat)

The Terminal Side Contains The Point (-5, 12). Find Sin .Question 4 Options:-.923-.385.923.385

Related Questions

A test question asks you to find two side lengths of a 45° -45° -90° triangle. You know that the length of one leg is 6, but you forgot the special formula for 45° -45° -90° triangles. Explain how you can still determine the other side lengths. What are the other side lengths?​

Answers

Answer:

The other leg is 6 and the Hypotenuse is 6√2

Step-by-step explanation:

because it's a 45 45 90 the legs equal and the Hypotenuse is square root 2 times leg

Write a common denominator for 1/4 and 5/6 (PLEASE THIS IS DUE TMRR) Also just an answer ​

Answers

1/4 and 5/6 have a common denominator of 24, or 12. Both can be multiplied by a number to make 12 or 24

4 x 3=12 and
4X6=24

A circle has an area of 12.251 x pi cm^2
Calculate:
a its diameter
b its circumference

Answers

Answer:

A) 3.94

B) 12.40

Step-by-step explanation:

Refer to the work image. You also need the radius to calculate A and B.

-2(x + 7) simplified expression, please do it I don't understand it for some reason and I'm gonna fail my test which is 50% of my grade :(​

Answers

Answer:

-2 (x+7)

-2x-14

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have a great day :)

3k - 2 = 10
Evaluate the expression

Answers

Answer:

k = 4

Step-by-step explanation:

3k - 2 = 10

3k - 2 + 2 = 10 + 2

10 + 2 = 12

3k = 12

3k/3 = 12/3

k = 4

y = 4.45 = 1.4
y=

Please help (ASAP‼️)

Answers

Answer:

y=6.23 hope this Helps!

Step-by-step explanation:

Three workers are digging a ditch. They take turns working, and every one of them works for as long as it would take the other two to dig half of the ditch. They finished digging the ditch working in this manner. How many times faster would the three workers have finished digging the ditch if they had all been working at the same time?

Answers

The work would be finished 2.25 times faster if they had been doing the work at the same time.

Rate of doing work

Assumption;

Provided each one of the workers works for an hour which is equivalent to the time it takes to finish half of the ditch.

In essence, the total time required to finish the ditch by 2 workers is; 2 hours.

Hence, for 3 workers working simultaneously, the time required is 1hour 20 minutes. = 80 minutes

However, since they took 1 hour turns on the job, it follows that; The total time used is;

Total time = 3 × 1hr = 3 hours = 180 hours

Hence they could have finished the work in;

R = 180/80 times faster = 2.25 times faster.

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A car salesperson had $85.460 in total monthly sales in September and $74,570 in October. The salesperson earned a total of $3.485 in commission from those sales combined. What is the salesperson's commission as a percent of the total monthly sales? Enter your answer, rounded to the nearest tenth of a percent, in the box.​

Answers

Answer:

3.485

[tex] \div 2[/tex]

1.7425

Step-by-step explanation:

3.485

[tex] \div [/tex]

2

Answer:

2.2

Step-by-step explanation:

I took the quiz

5(x+4) simplify by distribtuion

Answers

= 5x + 20

Because you first multiply 5 with x
=5x
Then you multiple 4 with 5
=20

Answer:

5x + 20

Step-by-step explanation:

5(x+4)

5(x) + 5(4)

5x + 20

Hope this helps!

Someone please help me!

Answers

Answer:

[tex]y= -\frac{8}{7} x - 7[/tex]

Step-by-step explanation:

Hope this helps! :)

Write 1/8 in two equivalent forms decimal and percent

Answers

12.5 and 12.5 Percent

Answer:

Fraction Form: 1/8

Decimal Form: 0.125

Percent Form: 12.5%

in order for students to have a club at school they need a minimum of 26 students. If there are 19
students signed up for the club, how many more students does the club need?
What are the solutions? Select the correct choice below and fill in the answer box to complete your
choice

Answers

Answer:

7 more students.

Basic subtraction:

needed students: minimum required students - students signed up

needed students: 26 - 19

needed students: 7 students, the club needs.

Solution:

We know that the inequality form is x ≥ 26. If we subtract the number of students required by the number of students joined, we will obtain the required students to start the club.

=> Required students - Students joined = Students remained to join=> 26 - 19 = Students remained to join=> 7 students

Hence, the club needs 7 more students to have a club.


A manufacturing corporation make tires with a probability 0.79 of lasting over 3,000 miles. What is the probability of exactly seven out of the next eight tires lasting over 3,000 miles?
(Round your answer to three decimal places.)

Answers

Answer:

A manufacturing corporation make tires with a probability 0.77 of lasting over 3,000 miles.

Step-by-step explanation:

The probability of exactly seven out of the next eight tires lasting over 3,000 miles will be 0.32.

How to find that a given condition can be modelled by binomial distribution?

Binomial distributions consist of n independent Bernoulli trials.

Bernoulli's trials are those trials which end up randomly either on success (with probability p) or on failures (with probability 1- p = q (say))

The probability that out of n trials, there'd be x successes is given by

[tex]\rm P(X =x) = \: ^nC_x \ p^x(1-p)^{n-x}[/tex]

A manufacturing corporation make tires with a probability 0.79 of lasting over 3,000 miles.

The probability of exactly seven out of the next eight tires lasting over 3,000 miles will be

P(x = 7) = ⁸C₇ (0.79)⁷  (1 – 0.79)⁽⁸⁻⁷⁾

P(x = 7) = 0.32

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The sum of 75 and 45 is divided by 5 and the difference of quotient and 10 is multiplied by 2. (Ans: 28) (Hint:- Make mathematical expressions, then simplify) (Please solve my question)​

Answers

Answer:

28

Step-by-step explanation:

(((75+45) ÷5) - 10 )2 -> first add 75 and 45

((120 ÷ 5) - 10)2 -> Divide 120 by 5

(24 - 10)2 -> Subtract 24 by 10

(14)2 - > 28

Ans: 28

how many distinct ways can the letters in accounting be arranged




Answers

Answer:

4 times

Step-by-step explanation:

I tried to see many ways as possible

I NEED HELP WITH THESE 2 QUESTIONS ASAP!

Answers

Answer:

  a) 2, 4, 8, 32, 60

  b) 2, 4, 32, 64, 120

Step-by-step explanation:

a)

The numerator is 1/2 the denominator, or the denominator is 2 times the numerator.

  [tex]\dfrac{1}{2}=\dfrac{2}{4}=\dfrac{4}{8}=\dfrac{8}{16}=\dfrac{16}{32}=\dfrac{30}{60}[/tex]

__

b)

The numerator is 1/4 the denominator, or the denominator is 4 times the numerator.

  [tex]\dfrac{1}{4}=\dfrac{2}{8}=\dfrac{4}{16}=\dfrac{8}{32}=\dfrac{16}{64}=\dfrac{30}{120}[/tex]

Solve for n. Isolate it on the left side. Attached is a picture of the equation.

Will mark Brainliest! :)

Answers

Answer:

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

a=p(1+rn)nta=p(n+rn)nt

Step-by-step explanation:

5x +(9+17)x320-10 divided by 2

Answers

Step-by-step explanation:

Answer is=4027.5

Approximately 4028.

Hope it was helpfull

PLEASE I NEED HELP!! ∠WXY and ∠ZXY are supplementary angles. Find the value of m.

Answers

Answer:

m=70°

Step-by-step explanation:

*∠WXY and ∠ZXY are supplementary angles (180°)*

110°+m=180°

110°+m-110°=180°-110°

m=70°

Hope it helps!

Mason playing board games he would like to design games has a Job Center, Mason has decided to make his own board his game uses around spinner Mason divides the spinner into eight equal Spaces Mason favorite color and leave the other six pieces of white what fraction of the spinner does mason paint his favorite color

Answers

Answer:

I think the answer is for the color of the spinner is black because i think most og the color is white 6/8 and black is 2

2/8

Step-by-step explanation:

A deck is shaped like a parallelogram with a base length of 27 feet and a height of 11 feet. A can of wood stain will cover 40 square feet.

How many cans of stain will be needed to stain the deck?

Enter your answer in the box.

Answers

From the area of the parallelogram, it is found that 8 cans of stain will be needed to stain the deck.

What is the area of a parallelogram?

The area of a parallelogram of base length l and height h is given by:

A = lh

In this problem, the dimensions are l = 27, h = 11.

Hence, the area, in square feet, is given by:

A = 27(11) = 297.

Each can cover 40 square feet. How many cans are needed for 297 square feet?

[tex]n = \frac{297}{40} = 7.425[/tex]

Rounding up, 8 cans of stain will be needed to stain the deck.

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Answer: 8 cans

Here's Proof

the abscissa of a point is -6 and its distance from the point (1,3) is √74. find the ordinate of the point​

Answers

[tex]\huge\fbox{Answer ☘}[/tex]

we know that ,

• absicca of a point = x - coordinate of that point

• ordinate of a point = y - coordinate of that point

therefore , let the point be A( -6 , y )

also ,

we're given an another point , i.e. ,

B( 1 , 3 )

[tex]distance \: between \: the \: two \: points = \sqrt{74} \\ \\ \sqrt{( x_{2} - x_{1}) {}^{2} \: + ( y_{2} - y_{2}) {}^{2} } = \sqrt{74} \\ \\ \sqrt{(1 - ( - 6)) {}^{2} + (3 - y) {}^{2} } = \sqrt{74} \\ \\ \sqrt{(7) {}^{2} + (9 + y {}^{2} - 6y)} = \sqrt{74} \\ \\ \sqrt{49 + 9 - y {}^{2} - 6y} = \sqrt{74} \\ \\ ✯\:\:\bold\blue{squaring \: both \: sides} \\ \\ 49 + 9 - y {}^{2} - 6y = 74 \\ \\ - y {}^{2} - 6y + 58 = 74 \\ \\ y {}^{2} + 6y - 58 = - 74 \\ \\ y {}^{2} + 6y - 58 + 74 = 0 \\ \\ y {}^{2} + 6y - 16 = 0 \\ \\ y {}^{2} + 8y - 2y - 16 = 0 \\ \\ y(y + 8) - 2(y + 8) = 0 \\ \\ (y + 8) = 0 \: \: and \: \: (y - 2) = 0 \\ \\ y = - 8 \: \: or \: \: y = 2[/tex]

therefore , the ordinate of point A is either ( -8 ) or ( 2 )

hope helpful~

A polygon is broken up into 5 non-overlapping triangles by drawing lines from one vertex to all other non-adjacent vertices. What is the name of the polygon?
pentagon
hexagon
heptagon
octagon

Answers

Answer:

It called c. Heptagon

Step-by-step explanation:

Answer:

it’s c :)

Step-by-step explanation:

because there no other Correct answers

Teresa works as a tutor for 7 an hour and as a waitress for 12 an hour. This month, she worked a combined total of 97 hours at her two jobs.
Let 't' be the number of hours Teresa worked as a tutor this month. Write an expression for the combined total dollar amount she earned this month.

Answers

Answer:

12t + 7(96 - t) = 12t + 672 - 7t  = 5t + 672

Step-by-step explanation:

96-t  number of hours  as a waitress

Let t number of hours as a tutor

12t + 7(96 - t) = 12t + 672 - 7t  = 5t + 672

Which of the following triangles are possible to draw? halppppp for 25 points

A triangle with angle measures of 100°, 40°, and 45°.
A triangle with angle measures of 55°, 35°, and 80°.
A triangle with angle measures of 30°, 60°, and 90°.
A triangle with angle measures of 25°, 65°, and 90°.
A triangle with angle measures of 20°, 50°, and 105°.

Answers

The triangles which are possible to draw are
angles measures 30° ,60° and 90°
angles measures of 25°, 65° and 90°
The triangles must add up to 180° for it to be drawn

anyone know the answer to this?

Answers

Answer:

0.99.

Step-by-step explanation:

Remove the decimal point.

Then, divide.

I'll show you an image.

An 8-year-old boy is half his sister's age. When the boy is 12, how old will his sister be?

Answers

Answer:

20 years

Step-by-step explanation:

when the boy is 8 and half his sisters age his sister is 16

four years later the boy will be twelve, so if his sister was 16 four years later she will be 20

Answer:

20 years old

Step-by-step explanation:

Let n represent the age of the boy's sister then...

[tex]8=\frac{1}{2}n[/tex]

Multiply both sides by 2

[tex]n=16[/tex]

When the boy is 12, it will be 4 years from when he is 8 therefore...

16 + 4 = 20 years old

what are the solutions to this polynominal when s(x) =0 s(x) (3x^2 + 17x+10 )(x-7)(4x-3) enter your answers in the boxes, from least to greatest.

Answers

Answer:

-5, -2/3, 3/4, 7

Step-by-step explanation:

The solutions are solutions of one of the following:

(3x^2 + 17x + 10) = 0, x - 7 = 0, 4x - 3 = 0

The latter two are straightforward: x = 7 or 3/4.

To factor the first, note it must be of the form (3x + __) (x + __)

Check the pairs (10, 1) (1, 10) (5, 2) and (2, 5) and we find:

(3x + 2) (x + 5) = 0

So, we also have solutions -5, -2/3

Answer:-5,-2/3,3/4,7

Step-by-step explanation:

took quiz

PLEASE PLEASE HELP AND PLEASE

Answers

Answer:

Step-by-step explanation:

Part A is -6  

Because 7 - 13 is -6 so at 9 am it was -6 degrees

Part B is -7.5 degrees

Because 6 x -1.25 = -7.5

How do I solve this problem?

Answers

Answer:

it's easy Randi Sali kuti harami is the answer

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