Suppose cot(theta) = 5/12, where pi < theta < 3pi/2. What is sin(theta)?

A. -12/13
B. -5/13
C. 5/12
D. 12/13

Answers

Answer 1

Answer:

- 12 /13

Step-by-step explanation:

Given that:

Cot(θ) = 5 /12 ;

Recall ; cot θ = 1 / tan θ ; tan θ = sin θ / cos θ

Hence ;

tan θ = 1 / cot θ

tan θ = 1 ÷ (5 / 12)

tan θ = 1 * 12 /5 = 12/5

Tan θ = opposite / Adjacent = 12 /5

Sin θ = opposite / hypotenus

Hypotenus = √(opposite² + adjacent²)

Hypotenus = √12² + 5²

Hypotenus = √(144 + 25)

Hypotenus = √169

Hypotenus = 13

Hence,

Sin θ = opposite / hypotenus = 12 / 13

pi < theta < 3pi/2 lies in the 3rd quadrant ; SinΘ will be negative ;

Sin θ = - 12 /13

Answer 2

Answer:

A

Step-by-step explanation:

Ed2021


Related Questions

How many zeros does the function have?
f(x) = x^3 – 5x^2 – 8x + 48

Answers

Answer:

x^(3)+5x^(2)-8x-48=0

how do i do this ? what does the y = 1 have to do with the reflection

Answers

because you have to flip the thing

2(h + 3.5) = -11 whats h?

Answers

Answer:   H=-9

Step-by-step explanation:

(2)(h)+(2)(3.5)=−11

=2h+7=−11

=2h+7−7=−11−7

=2h=−18

h=-18/2

h=-9

Answer:

-9 is the answer hope it helps :)

can u help me solve 8-3(7-4y) i know the answer i just need to kown how i got the answer

Answers

8 - 3(7-4y)
8 - (3x7 - 3x4y) You need to develop between parentheses bcs there is a minus between 8 and 3.
8 - (21 - 12y)
8 - 21 + 12y /!\ A minus before parentheses changes the sign in the parentheses !
12y - 13

hint there are 12 inches in a foot. your family recently had a family pressure taken your aunt asked you to take a picture of the portrait using your phone and send it to her if the original size of the portrait is 3 ft by 3 ft and the scale factor is 118 what would the size of the portrait be on ylour phone​

Answers

Answer:

1,416

Step-by-step explanation:

multiply 12 by 116

A recipe says to use 2 cups of chocolate chips to make 36 cookies. What is the constant of proportionality that relates the number of cookies made, y, to the number of cups of chocolate chips used, x?

Answers

1 cup of chocolate chips equals 18 cookies and 2 cups equals 36 and 3 cups equals 54

Quiz 1
Rewrite the fraction as a decimal.
13
10
Report a pro

Answers

Answer:

1.3

Step-by-step explanation:

Just divide the top by the bottom.

Answer:

1.3

Step-by-step explanation:

If we divide 13 by 10, our answer is 1.3. This makes sense since the proper fraction would be 1 & 3/10 (one and three-tenths.) Three-tenths is equal to 30% or 0.3.

The points (-1, r) and (2, 1) lie on a line with slope 2. Find the missing coordinate r
Please help!!!

Answers

Answer:

r = -5

Step-by-step explanation:

Slope = (y2 - y1)/(x2 - x1)

(-1, r)

(2, 1)

r - 1/-1 - 2 = r - 1/-3

Slope = 2

-3 x 2 = -6

-6 -(-1) = -5

-5 - 1 = -6

-6/-3 = 2

So:

r = -5

Hope this helps!

9514 1404 393

Answer:

  r = -5

Step-by-step explanation:

The x-coordinate of the partially-defined point is 3 units less than the x-coordinate of the given point. The slope of 2 tells you the y-coordinate of the partial point (r) will be 2·3 = 6 units less than the y-coordinate of the given point. That is ...

  r = 1 - 2·3

  r = -5

__

You are given the slope of the line and a point on it, so you can write the point-slope equation of the line:

  y -y1 = m(x -x1) . . . . . . . line with slope m through point (x1, y1).

For the given point and slope, this is ...

  y -1 = 2(x -2)

For an x-value of -1, the corresponding y-value will be ...

  r = 2(-1-2) +1 = -6 +1

  r = -5

PLEASE HURRY!! Will give brainly
Find the slope and y intercept for y = 3x - 2.

Answers

The slope is 3 cause m=3 so slope would be 3
The slope is 3/1. And the y intercept is -2

Is 7.165 a rational number?

Answers

Answer:

yes it is rational

It is rational because it stops the number does not go on forever and ever

For a segment of a radio show a disc jockey can play 8 records. If there are 10 records to select from, in how many ways can the program for thid segment be arragned

Answers

Answer:

45 ways

Step-by-step explanation:

Combination method is appropriate for this question since it deals with arrangement.

i.e [tex]^{n}C_{r}[/tex] = [tex]\frac{n!}{(n - r)!r!}[/tex]

Since 8 records are to be selected from 10 available records. Then, the number of ways for the arrangement of the records can be determined as;

Let n = 10 and r = 8

[tex]^{10}C_{8} }[/tex] = [tex]\frac{10!}{(10 - 8)!8!}[/tex]

       = [tex]\frac{10!}{2!8!}[/tex]

       = [tex]\frac{10*9*8*7*6*5*4*3*2!}{2!8*7*6*5*4*3*2!}[/tex]

       = [tex]\frac{10*9}{2}[/tex]

       = 45

Therefore, the number of ways by which the records can be arranged is 45.

Unit 2 lesson 5 practice problem 3 in math workbook

You get 15 points if you answer this.

Answers

Answer:

what do you need help with???

4. Celia is making biscuits. Her recipe calls for 1/3 cup of flour, but
she only has a 1/2 cup measure. About how full should she fill the
measuring cup?

Answers

Answer:

I think it is 5/6

Step-by-step explanation:

She should do 5/6 of the way because 1/3x1/2=5/6

Answer:

16.5% full

Step-by-step explanation:

1/2 in decimal is 0.5

1/3 in decimal is 0.33

0.5x0.33=0.165

0.165 as a percentage is 16.5%

Choose Yes or No to tell if the number 103 will make each equation true. 6.01 × □ = 601 No 0.305 × □ = 305 No 0.54 × □ = 540 No 0.097 × □ = 970 Yes

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

Given the equations :

6.01 × □ = 601 No 0.305 × □ = 305 No 0.54 × □ = 540 No 0.097 × □ = 970 Yes

Will the number 103 will make each true?

601 / 6.01= 100 (No, not true)

305 / 0.305 = 1000 (No, not true)

540 / 0.54 = 100 (No, not true)

970 / 0.097 = 10000 (No, not true)

Hence, multiplying each of the equation above by 103 will not make any of the equations true.

Give the Domain and Range for each of the following.
f(x) = {(-2,0); (3,8); (-5, 10); (0,3)}

Answers

Answer:

The Domain are -2,3,-5,0

The Range are 0,8,10,3

WILL GET 15 POINTS AND MARKED BRAINLINESt


1. Create your own expression that contains at least one operation and one variable.


example: 5x


2. Describe a situation that your expression can model.


example: x represents the price of a pound of grapes, in dollars. Cheryl buys 5 pounds of grapes. The cost of Cheryl's grapes can be modeled by 5x

Answers

Answer:

4x+5

Step-by-step explanation:

4x represents making 4 dollars per hour and 5 represent the amount of money you began with

Answer:

1) 2x

2) x represent how many candy a person have

2 is the amount of person

The total candy canbe modeled by 2x

Step-by-step explanation:

From points A and B, the distance between which is 1020 mi, two trains left simultaneously towards each other. The speed of one train was 10 mph greater than the speed of the other one. In 5 hours the trains had

Answers

Complete question :

From points A and B, the distance between which is 1020 mi, two trains left simultaneously towards each other. The speed of one train was 10 mph greater than the speed of the other one. In 5 hours the trains had not met yet and were 170 mi apart. Find the speed of the trains.

Answer:

Train A = 80 miles per hour

Train B = 90 miles per hour

Step-by-step explanation:

Given that :

Distance between A and B = 1020

Let the speed of A = x

Speed of B = x + 10

Since they both left simultaneously;

Distance traveled after 5 hours will be :

Distance = speed * time

A = x * 5 = 5x

B = (x + 10) * 5 = 5x + 50

After the distance traveled by each of A and B, they are still 170 miles apart

Hence, distance covered after 5 hours ;

Total miles - miles left

1020 - 170 = 850 miles

Hence,

5x + 5x + 50 = 850

10x = 850 - 50

10x = 800

x = 80

Train A = 80 miles per hour

Train B = 80 + 10 = 90 miles per hour

Tarek will spend at most $31 on gifts. So far, he has spent $16. What are the possible additional amounts he will spend?
Use c for the additional amount (in dollars) Tarek will spend.
Write your answer as an inequality solved for c.

Answers

Answer:

c<$15

Step-by-step explanation:

$31-$16>c

$15>c

c<$15

In APQR, ZQ = ZP, RP = 13 and PQ = 19. Find the length of QR.

Answers

Answer:

13

Step-by-step explanation:

∠Q ≅ ∠ P ⇒ RP = RQ = 13

A line passes through (0, 2) and has a slope of 13 .

What is the equation of the line in slope-intercept form?

y=13x+2
y=13x−2
y=−13x+2
I don't know.

Answers

Answer:

y=1/3x+2

Step-by-step explanation:

Assuming that all of the '13' 's are suppost to be 1/3, it is y=1/3x+2

The equation of the line in slope intercept form is

[tex]y= \frac{1}{3} x+2[/tex]

Given :

A line passes through (0, 2) and has a slope of 1/3

The equation of a line in slope intercept form is y=mx+b

where m is the slope and b is the y intercept

From the given information , we know that slope [tex]m=\frac{1}{3}[/tex]

The line passes through (0,2) that is our y intercept b

b= 2

Replace slope [tex]m= \frac{1}{3}[/tex] and b=2 in slope intercept form y=mx+b

[tex]y= \frac{1}{3} x+2[/tex]

The equation of the line in slope intercept form is

[tex]y= \frac{1}{3} x+2[/tex]

Learn more :  brainly.com/question/25704074

What value of x will make this equation true?
8 (3x + 3) = 3 (9x -9)

Answers

Answer:

17

Step-by-step explanation:

24x+24=27x-27

51=3x

x=17

Simplify 2 x2 - y for x = 3 and y = -2.

A. 10
B. 14
C. 20
D. 16

Answers

Answer:

B. 14

Step-by-step explanation:

okay we are going to place 3 where the x variable is and -2 where the y variable is in the equation 2 x2 - y

2 (3*2) - (-2)

the equation now looks like this:

2(6) - (-2)

Since the subtraction sign is in front of the negative number the negative number will turn positive making the equation look like this:

2(6) + 2

we are now going to do the order of operations by multiplying 6 by 2 before adding 2:

6 * 2 = 12 + 2 = 14

So the equation 2 x2 - y = 14

The table shows a relationship between x-and y- values which statement describes the pattern created by the values ?

Answers

Answer:

3rd one

Step-by-step explanation:

The correct pattern created by the values is,

⇒ Each value of y is determined by adding 4 to each x - values, so the pattern is additive.

What is Addition?

The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.

We have to given that;

The table shows a relationship between x-and y- values.

Now, We have;

x = 2, 4, 6, 8

y = 6, 8, 10, 12

⇒ 2 + 4 = 6

⇒ 4 + 4 = 8

⇒ 6 + 4 = 10

⇒ 8 + 4 = 12

Clearly, Each value of y is determined by adding 4 to each x - values.

Hence, The pattern is additive.

Learn more about the addition visit:

https://brainly.com/question/25421984

#SPJ1

How many 1-yard-square tiles would it take to cover this rectangle? Dimensions are in yards.

Answers

Answer:

it would take 520^2 tiles

Step-by-step explanation:

LxW

26×20

520 yrds^2

Orville was out bicycling with his brother Wilbur. Orville stopped to fix a flat tire. Wilbur continued at 10 mph. After 30 minutes, Orville had fixed the flat, and he rode off at 12 mph in pursuit of Wilbur. In how many hours did Orville catch up to Wilbur?

Answers

Answer:

Orville caught up with Wilbur in 2.5 hours

Step-by-step explanation:

Here, we want to calculate the number of hours it took for Orville to catch up to Wilbur

Mathematically,

distance = speed * time

The distance traveled before Orville restarted his own journey is ;

distance = 10 mph * 0.5 = 5 miles

(30 minutes is 30/60= 0.5 hours)

So this means that Wilbur was now 5 miles ahead of Orville

Now, let the number of hours it took to

catch up Wilbur be h

In h hours,

Wilbur would have traveled 5 miles + 10h

In this same time, Orville would have traveled

12 * h = 12h

So the distance traveled by the two will be equal at this h hour

5 + 10h = 12h

12h-10h = 5

2h = 5

h = 5/2

h = 2.5 hours

(04.01 LC)
The coordinates of point A on a grid are (-2,-4). Point A is reflected across the y-axis to obtain point B. The coordinates of point B are
- 4). (5 points)

Answers

Answer:

(2, -4) would be point b.

Step-by-step explanation:

This is because -2 was on the negative side of the x axis before the refection and now it's on the positive side of the x axis

Answer:

it would be (2,-4)

Step-by-step explanation:

correct me if I'm wrong

Stay Safe

Stay Strong

Stay Awesome

Two factors of –48 have a difference of 19. The factor with a greater absolute value is positive.

What is the sum of the factors?

–19
–13
13
16

Answers

Answer with no step-by-step explanation:

13

Question 6 (1 point)
Erica is collecting cans for a school fundraiser. She collects 5 the first day, 10 the
second day, and 15 the third day. If the pattern continues, how many cans will she
collect on the tenth day?
50 cans
15 cans
100 cans
065 cans

Answers

59 cans ... she counting up by 5s so multiply 5 x 10

Pls help, I only have ten min

Answers

The answer Is the first one

Use square roots to solve the equation x^2 = −25 over the complex numbers. Enter your answers in numerical order.

Answers

Answer:

Step-by-step explanation:

x^2= -25

x=5i and -5i

Answer:

The answer is 5

Step-by-step explanation:

x^2= -25

x=√-25

x=5

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