The terminal side of Ø is in quadrant IV and cos Ø + 5/13, what is sin Ø?

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

Answers

Answer 1

Answer:

It’s -12/13

Step-by-step explanation:

Answer 2

The value of the sin Ø is -12/13 because sin is negative in IV option (B) is correct.

What is the trigonometric ratio?

The trigonometric ratio is defined as the ratio of the pair of a right-angled triangle.

We have:

The terminal side of Ø is in quadrant IV quadrant

cosØ = 5/13

sin²Ø = 1 - cos²Ø

sin²Ø  = 1 - (5/13)²

sinØ = √(144/169)

sinØ = -12/13 (negative in IV)

Thus, the value of the sin Ø is -12/13 because sin is negative in IV option (B) is correct.

Learn more about trigonometry here:

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Related Questions

What is the solution to the system of equations below?

y=-3x+6 and x = -6
O (-6,8)
O (6,4)
O (8,6)
O (4, 6)

Answers

Answer:

The solution to the system of equations will be: (-6, 24)

Step-by-step explanation:

Given the system of equations

y = -3x+6

x = -6

substituting x = -6 in the equation y = -3x+6

y = -3x+6

y = -3(-6) + 6

y = 18+6

y = 24

Therefore, the solution to the system of equations will be: (-6, 24)

Note: it seems you have not mentioned the correct option in the answer choice as the correct choice is (-6, 24).

please help me please will give brainliest to anyone who is good

show your work ​

Answers

Answer:

B - 1/9

Step-by-step explanation:

I don't really know how to explain how I got it because I'm only in middle school in pre-algebra, but I did teach this to myself online haha, so here we go. Daneille rolled the dice 90 times, it only landed on 6 10 times. That is 10/90 which, simplified, is 1/9.

Evaluate the expression using the values m = 7, r = 8, and t = 2.
3m - 5t

Answers

Answer:

11

Step-by-step explanation:

1. fill in the variables

3(7)- 5(2)

2. Multiply

21- 10

3. Subtract

21-10=11

What is the solution set for the inequality.

x ≤ 6

A

{6, 7, 8, 10}

B

{1, 3, 4, 5}

C

{-1, 0 , 2, 4, 6}

D

{0, 3, 5, 6, 8}

Answers

Answer:

b

Step-by-step explanation:

how do u identify slope

Answers

From a graph. Rise over run.

From two points: y2-y1/x2-x1

If a square has a perimeter of 36 in. what is the Circumstances of the circle?given the exact answer in terms of pi.

Answers

Answer:

a)B)9π

b)G)16π in²

Step-by-step explanation:

according to the question

[tex]64 \times \frac{\pi}{4} [/tex]

[tex]16\pi \: {in}^{2} [/tex]

as we know

C/d=π

C=dπ

Therefore

C=9π

Solve the system of equations using subtraction. y = -2x + 1 4x + 2y = -3 a. Infinity many solutions b. No solution c. (0,-5) d. (-5,0)

Answers

Given:

The given system of equation is:

[tex]y=-2x+1[/tex]

[tex]4x+2y=-3[/tex]

To find:

The solution of given system of equations using subtraction.

Solution:

We have,

[tex]y=-2x+1[/tex]             ...(i)

[tex]4x+2y=-3[/tex]         ...(ii)

First equation can be rewritten as

[tex]2x+y=1[/tex]             (Adding 2x on both sides)

[tex]4x+2y=2[/tex]       ...(iii)        (Multiplying both sides by 2)

After subtracting (ii) from (iii), we get

[tex]4x+2y-(4x+2y)=2-(-3)[/tex]

[tex]4x+2y-4x-2y=2+3[/tex]

[tex]0=5[/tex]

This statement is false because [tex]0\neq 5[/tex]. It means, there is no value of x and y for which the given system of equations are true.

Therefore, the given system of equations has no solution and the correct option is b.

I NEED HELP ASAP!!!!! PLEASE

Answers

Answer:

I think b, but I may be wrong

Answer:

I think c

Step-by-step explanation:

They are increasing more and more each time by 10%

Parallelogram RSTU is shown.
Ilan needs to prove that segment RS ≅ segment TU and segment RU ≅ segment TS. His proof is shown in the table below.

Step Statement
1 RSTU is a parallelogram
2 Side RS || Side TU and Side RU || Side TS
3 ∠RSU≅∠TUS and ∠RUS≅∠TSU
4 Side SU ≅ Side US
5 ΔRSU≅ΔTUS
6 Side RS ≅ Side TU and Side RU ≅ Side TS

Select all reasons that support one or more statements in the proof.

-symmetric property
-opposite sides of a parallelogram are congruent
-alternate interior angles are congruent
-corresponding parts of congruent triangles are congruent
-definition of a parallelogram

Answers

Answer:

alternate interior angles are congruent corresponding parts of congruent triangles are congruent definition of a parallelogram

Step-by-step explanation:

Step Statement                                                  ⇒  Reason

1    RSTU is a parallelogram                              ⇒  Given

2   Side RS || Side TU and Side RU || Side TS  ⇒ definition of a parallelogram

3    ∠RSU≅∠TUS and ∠RUS≅∠TSU                 ⇒ alternate interior angles are congruent

4     Side SU ≅ Side US                                      ⇒ reflexive property

5    ΔRSU≅ΔTUS                                                 ⇒ ASA postulate

6    Side RS ≅ Side TU and Side RU ≅ Side TS ⇒ corresponding parts of congruent triangles are congruent

Can someone do an ixl for me please?

Answers

you should do it i think it finds out about if u cheated or not

Complete the statement using < or > -1 ? 4

Answers

Answer: -1>4

Step-by-step explanation:

A small town in north Texas is in the middle of quite a scandal. It turns out that 15 years ago, three babies
were born within three minutes, and each was sent home randomly with the wrong family. In order to
determine which children are actually related to the parents involved, the blood type of each individual was
analyzed. Use the results shown below to answer the question.

Children
X. A
Y. O
Z. A

Parents
1. The Wheelers/ A and AB
II. The Byers/ AB and O
Ill. The Hendersons/ O and B

Answers

Answer:

X is parent 1

z is parent 2

y is parent 3

A bicycle store costs ​$1800 per month to operate. The store pays an average of ​$35 per bike. The average selling price of each bicycle is ​$75. How many bicycles must the store sell each month to break​ even?

Answers

Answer:

45

Step-by-step explanation:

1800 total

35 dollars per bike

75 bucks to sell bike

75-35= 40

40 bucks per bike

1800 divided by 40 = 45 so 45 bikes

if angle 8 = 130 degrees what is the measure of angle 4

Answers

Answer:

50

Step-by-step explanation:

180-130=50

Answer:

105

Step-by-step explanation:

Someone please help!!

Answers

Answer:

X^158

Step-by-step explanation:

X^60xX^-18x(    )=X^200

X^42x(   )=X^200

x^158

Find the unknown sides and angles of this triangle using the Law of Cosines. Round to the nearest hundredth.

Answers

c=10.35<a=50.87°<b=87.13°

Step-by-step explanation:

as we know

law of cosine

[tex]c = \sqrt{ {a}^{2} + {b}^{2} - 2ab. \cos(c) } [/tex]

[tex]c = \sqrt{ {14}^{2} + {18}^{2} - 2.14.18 - \cos( {35}^{o} ) } [/tex]

[tex]c = 10.35[/tex]

using the law of cosine

[tex]cos(a) = \frac{ {b}^{2} + {c}^{2} - {a}^{2} }{2bc} [/tex]

[tex] \cos(a) = \frac{ {18}^{2} + {10.35 }^{2} - {14}^{2} }{2.18.(10.35)} [/tex]

[tex]a = {50.87}^{o} [/tex]

b=87.13°

Determine the smallest integer value of x in the solution of the following inequality.
-2x +1 < -9

Answers

Answer:

4

Step-by-step explanation:

-2 x 4 is -8 plus one is -7.

Answer:

uhm x > 5. I hope that helps pls lmk

Evaluate: (9 - 3)² + 5 ÷ ⅓

Answers

Answer:

123

Step-by-step explanation:

(6^2+5)*3= 41*3= 123

Answer:

Step-by-step explanation:

take away the parenthesis

9 - 3 = 6

6² + 5 ÷ ⅓

take away the exponents

6 * 6 = 36

36 + 5 ÷ ⅓

36 + 5 = 41

41 ÷ ⅓

( 41 ÷ 1 ) ÷ 3

41 ÷ 3

13.66666666666667

Round it up, and u get

13.7 or 14 depends on how much u want to round it up to.

Hope this helped!

Have a supercalifragilisticexpialidociuos day!

pls help i dunno how to do this lol

Answers

Answer:

The height of the triangle is: h = 6.4 cm

Step-by-step explanation:

Given

Area of the triangle A = 40 cm²

The Base of the triangle b = 12.5 cm

To determine

height of triangle h = ?

We know that the area A of a triangle is:

A = 1/2 bh

where

b is the baseh is the height of the triangle.

so

A = 1/2 bh

substituting A = 40 and b = 12.5

40 = 1/2 (12.5) h

40 × 2 = 12.5 h

12.5 h = 80

divide both sides by 12.5

12.5h/12.5 = 80/12.5

h = 6.4 cm

Thus, the height of the triangle is: h = 6.4 cm

Get the standard deviation of this data set:
64, 72, 91, 39, 16, 84, 41, 86, 10, 39

A.52.5
B.29.28
C.27.78
D. 54.2

Answers

Answer:

b

Step-by-step explanation:

8.3+7.2b-3.6b =???


If anyone can just find the answer to this real quick

Answers

Answer:

if you are simplify its 3.6b+8.3

Step-by-step explanation:

8.3+(7.2b-3.6b) : Group like terms together

8.3+3.6b : Combine each group

3.6b+8.3 : Rearrange the expression

Is this statement true or false?
s={4, 8, 12, 16) is a solution to 6.2s >_ 24.8.
True
false

Answers

Answer:

The answer is True! Just had this on a test.

Step-by-step explanation:

Please help please please help me please

Answers

Answer:

12.68

Step-by-step explanation:

With reference angle 45°

perpendicular (p) = 9

hypotenuse (h) = c

Now

sin 45 ° = p/ h

0.71 = 9 / c

c = 9 / 0.71

c = 12.68

Hope it will help :)

6.5/v = 3/11.7
I need help help finding v

Answers

Answer:   =25.35

im sure its right

V=25.35 Im 100000000% sureee

if y=3x^3+x^2-5 and z=x^2-12 what polynomial is equivalent to 2(y+z)

Answers

Answer:

2y + 2z

6x³+2x²-10 + 2x²-24

6x³+4x²-34 ■

Step-by-step explanation:

The polynomial which is equivalent to 2 (y + z) is 6x³ + 4x² - 34.

What is Polynomial?

A polynomial is a type of algebraic expression in which the exponents of all variables should be a whole number. The exponents of the variables in any polynomial have to be a non-negative integer.

Here, y = 3x³+x²-5 and z = x²-12

Now,

2 ( y + z ) = 2 ( 3x³+x²-5 + x²-12 )

2 ( y + z ) = 2 ( 3x³ + 2x² - 17 )

2 ( y + z ) = 6x³ + 4x² - 34

Thus, the polynomial which is equivalent to 2 (y + z) is 6x³ + 4x² - 34.

Learn more about Polynomial from:

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A milk tank at a dairy farm has the form of a rectangular prism. The tank is 3.5 feet wide. The width of the tank is 5/7 of its length, and the height is 4/5 of its width. How many cubic feet of milk can the tank hold? How many pounds of milk can it hold if 1 cubic foot of milk weighs 66.5 lbs?

Answers

Answer:

48.02 or 48 1/50 cubic feet and 3193.33 or 3193 33/100 LB ( I do rsm too )

Step-by-step explanation:

The width is 3.5

The length is 3.5*7/5 which is 4.9

The height is 4/5 of 3.5 which is 2.8

So, the volume in cubic feet is 3.5*4.9*2.8 which is 48.02 or 48 1/50

So, the amount in Lb is 66.5*48.02 which is 3193.33 or 3193 33/100

A tank can hold [tex]\boldsymbol{24.5}[/tex] cubic feet of milk and a tank can hold [tex]\boldsymbol{1629.25}[/tex] pounds.

Rectangular prism

A rectangular prism is a three-dimensional solid object that has six rectangle-shaped faces.

Length of a rectangular prism [tex](l)=3.5[/tex] feet

Width of a rectangular prism [tex](w)=\frac{5}{7}(3.5)[/tex]

                                               [tex]=2.5[/tex] feet

Height of a rectangular prism [tex](h)=\frac{4}{5}(3.5)[/tex]

                                                  [tex]=2.8[/tex] feet

Volume of a milk tank [tex]=lwh[/tex]

                                     [tex]=3.5(2.5)(2.8)[/tex]

                                     [tex]=\boldsymbol{24.5}[/tex] cubic feet

                                    [tex]=24.5(66.5)[/tex] pounds

                                    [tex]=\boldsymbol{1629.25}[/tex] pounds

So, a tank can hold [tex]\boldsymbol{24.5}[/tex] cubic feet of milk and a tank can hold [tex]\boldsymbol{1629.25}[/tex] pounds.

             

Find out more information about rectangular prism here:          

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PLEASE HELP!!!! If f(x) = x^2 + x, find f(-3). The answers given are A) -12 B) 3 C) 6

Answers

Answer: 6

Step-by-step explanation:

F(-3), you will find out by replacing the x with -3

f(-3)=(-3)^2+(-3)=9-3=6

A car traveled 25 miles of a 200 mile trip to its destination. The car travels at a speed of 35 miles per hour. How many hours until the car reaches its destination? Respond to the two questions below and show all work.

Answers

Answer: 5 hours

Step-by-step explanation:

The car has already travelled 25 miles into the 200 miles that it is meant to travel.

The distance left is therefore:

= 200 - 25

= 175 miles

The car is travelling at 35 miles per hour.

The time left for travel is:

= Distance /  Speed

= 175 / 35

= 5 hours

Is x = 6 a solution to the equation 5(x – 3) = x + 13?
Follow the steps to find out.

1. Rewrite the equation 5(x – 3) = x + 13 with 6 substituted for x. Write a question mark over the equal sign to show that you're testing to see if the equation is true.

Write your answer in the space below.


Giving brainliest and thanks

Answers

Answer:

No, X=7

Step-by-step explanation:

Answer:

Yes, both equations will always work, but yes, at times it is more logical to use one over the other. for instance:

x-4y=6

x+4y=12

we see here that elimination would best fit:

x+x+4y-4y=6+12

or:

x=2y-3

7x+3y-81=23

substitute (2y-3) for x.

Also, once you have a single placeholder, put it ito quadratic form (ax^2+bx+c=0)

and use the quadratic formula:

x=(-b±sqrt(b^2-4ac))/2a

We went to the store and bought 6 giant candy bars and 2 small
bags of jawbreakers and spent $13.00. My friend went to the store
and bought 4 giant candy bars and 6 small bags of jawbreakers
and spent $11.00. How much did a candy bar cost? How much did
a bag of jawbreakers cost?

Answers

Answer:

Giant Candy Bar: 2$

Small Bags of Jawbreakers: .50$

Step-by-step explanation:

First you make out the equations, with the variables of c for giant candy bars and j for the small bags of jaw breakers.

First equation we make is 6c+2j=13

The second equation is 4c+6j=11.

You can then make one of the equations a negative and equal to the other. What I mean is we can use the elimination method. So I choose to do -18c+-6j=-39 (Multiplied by -3) so we can eliminate the 2 6js and get 4c=11 and -18c=-39. You then add the remaining equations together to get -14c=-28, so     c=2. Using that we can then chose an equation to substitute c with. Ill choose the first one, so you get 6(2)+2j=13. 12+2j=13; 2j=1. By simplifying, you get the jawbreakers as .50 dollars.

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