A circle centered at the origin has a radius of 13. The terminal side of an angle x, intercepts the circle in quadrant IV at point C. The x coordinate of point C is 12. What is the value of sin x

Answers

Answer 1

Answer:

[tex]sin x=-\frac{5}{13}[/tex]

Step-by-step explanation:

From the question we are told that:

Radius [tex]r=13[/tex]

Co-ordinate of x axis at C [tex]x'=12[/tex]

Let

x' represent the x axis

y' represent the y axis

Since the intercept across the radius has values on the x' and y' axis

Therefore

Generally the Trigonometric equation for cos x is mathematically given by

 [tex]cos x=\frac{x'_c}{r}[/tex]

 [tex]cos x=\frac{12}{13}[/tex]

Generally the Trigonometric equation for sin x is mathematically given by

[tex]sin x=\sqrt{1-cos^2x}[/tex]

[tex]sin x=\sqrt{1-(\frac{12}{13})^2}[/tex]

[tex]sin x=\frac{5}{13}[/tex]

Since x is in the IV quadrant sin x is negative

[tex]sin x=-\frac{5}{13}[/tex]


Related Questions

What is the first step in simplifying the expression below ?

3 + 4 (6 - 8)^2

O 3 Plus 4
O 3 Plus 16
O 6 Minus 8
O Multiply -2 by itself
O Multiply by 4​

Answers

follow PEMDAS (parentheses, exponent, multiplication, division, addition, subtraction)

6 minus 8

Answer:

Step-by-step explanation:

The very first step is to take (6 - 8) = - 2    Do the brackets first.

Now square the result (-2)^2 = 4                Multiply by 4

4*4 = 16 These fours are different. The first is the brackets, The second is what is out side the brackets.

Last step: 16 + 3                                          The answer is 19.

19 is not what you asked for, but it's a good idea to see how to continue.

HELP0ppppppppppppppp​

Answers

Answer:

C)

Step-by-step explanation:

in order to understand which triangle would lie on the given line we should figure out the slope of the given line first

remember that,

[tex] \displaystyle m = \frac{ y_{2} - y_{1} }{ x_{2} - x_{1}} [/tex]

from the graph let's take two points where the line passes i.e (0,0) and (4,6)

substitute:

[tex] \displaystyle m = \frac{6- 0}{ 4 - 0} [/tex]

simplify substraction:

[tex] \displaystyle m = \frac{6 }{ 4 } [/tex]

reduce fraction:

[tex] \displaystyle m = \frac{3}{ 2} [/tex]

now we need a triangle which tan ratio equal to the slope in that case we can consider the third triangle

[tex] \displaystyle \tan( \theta) = \frac{30}{20} [/tex]

reduce fraction:

[tex] \displaystyle \tan( \theta) = \frac{3}{2} [/tex]

since the tan ratio of the third triangle equal to the slope of the line

hence, our answer is c

Choose Yes or No to tell if each statement is true.

3.072 > 3.2

728.307 > 729.07

12.040 = 12.04

531.135 < 531.315

Answers

Answer:

No, no, yes, yes

Step-by-step explanation:

3.072 is not bigger than 3.2, so incorrect (no)

728.307 is not bigger than 729.078, so incorrect again (no)

12.040 does equal 12.04, so correct (yes)

531.135 is smaller than 531.315, so correct (yes)

What is the exact value of tan(300°)?

Answers

Answer:

The exact value of tan 300° is ⏩ - √3

Hope it will help :)❤

Dameon wants to move to a new apartment in his neighborhood. The data shows the monthly rate for the one bedroom apartments in his neighborhood. What is the monthly rent for his apartments?

Answers

Answer:

1,010

Step-by-step explanation:

Answer:

1010

Step-by-step explanation:

The function g(t)=−16t2+vt+h represents the height of an object, g, in feet, above the ground in relation to the time, t, in seconds, since the object was thrown into the air with an initial velocity of v feet per second at an initial height of h feet. A model rocket is launched off the ground at an initial velocity of 80 feet per second. Part A: Write a function that can be used to describe the flight of the model rocket. Part B:What domain makes sense for this function in context?

Answers

Answer:

A) g(t) = - 16*t² + 80*t

B) domain is  ( 0 ≤ t ≤ 5 )

Step-by-step explanation:

A) for the model rocket

h = 0    and  v = 80 feet/sec

Then the equation     g(t)  = -16*t² + v*t + h

became

g(t) = - 16*t² + 80*t + 0         g(t) = - 16*t² + 80*t

B) The equation  g(t) = - 16*t² + 80*t  is defined for all real numbers then the domain interval for t is ( -∞ , ∞ ). Now in our case, a model rocket was launched is not possible to get negative values for g(t)  then the biggest value for t = 5 from

-16*t²  +  80*t  ≥ 0

-16*t  ≥ -80       16*t ≤ 80

t ≤ 5

And the domain is  ( 0 ≤ t ≤ 5 )

john bought 3 1/2meters of wire it he used 1 5/6 meters in wire a job how many meters of qire was leftover​

Answers

Answer:

1 (2/3)meter

Step-by-step explanation:

3(1/2) = 7/2  = 21/6

1(5/6) = 11/6

21/6 - 11/6 =  10/6 = 5/3 = 1 (2/3)

I'll give brainiest just please help

Answers

Answer:

1.9

Step-by-step explanation:

just put it into he calculator, because with 3 above the square root.

Answer:

Approximately 1.9 (rounded to the nearest tenth)

Step-by-step explanation:

First, we are left off with the equation:

[tex]y^{3} = 7[/tex]

We know we want to solve for y. So, let's do the opposite of what is being done to y. In other words, let's find the cube root of [tex]y^{3} = 7[/tex].

[tex]\sqrt[3]{y^3} = \sqrt[3]{7}[/tex]

Then, the [tex]\sqrt[3]{y^3}[/tex] just simplifies to y. On the other side, we cannot find the cube root of 7 in our minds, so that is why it tell us to use a calculator. So...

y = 1.9

Therefore, the cube root of 7 is around 1.9. Hope this helps!

Simplify for me please

Answers

Answer:

9y^4

Step-by-step explanation

i believe you just add 6yand 3y

hope this helps :)

if this is a test wait for someone else to confirm just to make sure

Im confused about this question

Answers

Answer:

F

you have to set it up as an equation then solve

Set end gulf g if NC gba has 4th s 3 eggs $"4 runs they've eggs her Seth w if rid the ms has hehe he na na

<1 and <2 form a linear pair. The measure of <1 = (2x+8) and the measure of <2 = (8x + 22). What is the measure of <1?

Answers

Answer:

Step-by-step explanation: Since the given problem states that the two angles, angle 1 and angle 2 form a linear pair, this means that they form a 180° line, so that:

measure angle 1 + measure angle 2 = 180°

Since measure of angle 2 is six more than twice the measure of angle 1, therefore:

measure angle 2 = 2 (measure angle 1) + 6

hence, substituting this into the first equation:

measure angle 1 + 2 (measure angle 1) + 6 = 180

3 (measure angle 1) = 174

measure angle 1 = 58°

Therefore,

measure angle 2 = 2 (measure angle 1) + 6

measure angle 2 = 2 (58°) + 6

measure angle 2 = 122*

Which figures will have a volume that is greater than 100 cubic units? Select two options.

A. a rectangular prism with dimensions of 4 by 5 by 4
B. a rectangular prism with dimensions of 2 by 12 by 6
C. a rectangular prism with dimensions of 1.5 by 8 by 8
D. a triangular prism that is 6 long and has a triangular face with a base of 4 and a height of 12
E. a cube with side length 4.

Answers

I think that it is b. A rectangular prism with dimensions of 2 by 12

Answer:

B and D

Step-by-step Explanation:

I don't know if this is correct yet but if it's right then great if not then I'm sorry!

Can I get brainliest please?

What is the slope of a line through (-2,5) and (4,6)?

Answers

Answer:

1/6

Step-by-step explanation:

y2 - y1 / x2 - x1

6 - 5 / 4 - (-2)

1 / 6

1/6

A piece of land is 3 miles wide. It is 4 1/6 times as long as it is wide. How long is the piece of land?

Answers

Answer: [tex]\frac{25}{2}\ \text{miles}[/tex]

Step-by-step explanation:

Given

A piece of land is 3 miles wide

It is [tex]4\ \frac{1}{6}[/tex] times as long as it is wide

Suppose width be b

So, length becomes [tex]\frac{24+1}{6}b[/tex]

Also, [tex]b=3\ \text{miles}[/tex]

[tex]\therefore \text{Length is }l=\dfrac{25}{6}\times 3\\\\\Rightarrow l=\dfrac{25}{2}\ \text{miles}[/tex]

What’s the correct answer
A.1
B.2
C.3
D.4
E.5

Answers

Please like it if you did find it good :) !

The following two polynomials are added: (5x 3 −3x 2 +7x)+(4x 3 + ? +7x)=9x 3 −2x 2 +14x
Find the value of the question mark.

Answers

Answer:

Step-by-step explanation:

-2x²- (-3x²) = x²

_______

in class slope and y intercept 50 points

Answers

Answer:

Slope =-3, y intercept =4

Step-by-step explanation:

y2-y1/x2-x1 = slope

4-(-2)/0-2=6/-2 or -3

y intercept is where line crosses y axis so it is 4.

Answer:

Slope: -3, y-intercept: 4

Explanation:

=> In order to find slope when a graph is given, the formula would be: [tex]\frac{rise}{run}[/tex](pronounced as "rise over run")

Rise = change in y-value = -3

Run = change in x-value = 1

Slope = [tex]\frac{rise}{run}[/tex] = [tex]\frac{-3}{1}[/tex] also could be written as -3

=> Now, to find the y-intercept, find a value on the graph where the line touches the y-axis, that's where x = 0, which would be your y-intercept;

Here the line touches the y-axis at "y = 4", this is also where x = 0;

therefore y-intercept = 4

Hope this helps!

i really need help ASAP!!

answer needs to be in simplest radical form.

find n.

Answers

Answer:

Step-by-step explanation:

You can use sen30° to solve it:

Since Sen=Opposite side / diagonal

Sen30° = OS/D

1 / 2 = x / [tex]2\sqrt{3}[/tex]  

2x = [tex]2\sqrt{3}[/tex]  

x = [tex]\sqrt{3}[/tex]

The right angle = 90 degrees :)

help please this is due by tonight

Answers

The answer is 2.4 I checked it

Answer:

0.27

Step-by-step explanation:

[tex]1)\ A_1 = \frac{h(a+b)}{2} = \frac{6(12+18)}{2} = \frac{6*30}{2} = \frac{180}{2} = 90[/tex]

[tex]2)\ A_2 = 14 * 24 = 336[/tex]

[tex]3)\ P = \frac{A_1}{A_2} = \frac{90}{336} = 27%[/tex]

please help! answer correct for 10 points and brainliest.

Answers

Answer:

14 square cm Should be the answer, plz do correct me if im wrong!!

Step-by-step explanation:

The right side which is triangle is 2x3 is 6 but because there is only half 6/2

it is 3!

Th middle portion which is square is 2 to the 4th power or 2x2x2x2 or just 2x4(2^4)!! Which is 8!

Finally the last triangle is the same as the first 3

8+6(the to triangles 3+3)=14

Mark brainliest plz, it was nice helping you if im wrong plz tell me immdiately i dont want to cause any problems good day ;)

Yea it’s 14 the first one is right

A candle on a table is 6 inches tall and burns at a rate of .8 inches per hour. How many hours will it take for the candle to burn down to a height of 1.2 inches?

Answers

Answer:

6 hours

Step-by-step explanation:

6 inches burns at rate .8 inches in 1 hour

to be 1.2 inches has to burn 6 -1.2 = 4.8 inches of the candle

4.8 inches / .8 inches in 1 hour  = 6 hours

Bob works at a construction company. He has an equally likely chance to be assigned to work different
crews everyday. He can be assigned to work on crews building apartments, condominiums, or houses. If
he works 21 days a month, about how many times should he expect to be assigned to the condo crew?
times out of 21 days.
Bob can expect to be assigned to the house crew about

Answers

hope this helps have a great day!

h(v)=5v2–28v+11, use synthetic division to find h(4).

Answers

Answer:

h(4)=-21

Step-by-step explanation:

h(v)=5x^2-28v+11

h(4)=5(4)^2-28(4)+11

h(4)=5(16)-112+11

h(4)=80-101

h(4)=-21

If this helps please mark as brainliest

Charlie combined 4quarts of sparkling water with 2 gallons 1 quart of apple juice.Which tells the amount of drink he made?

Answers

Answer: 13 quarts



Explanation: hope this helps u I’m in 9th grade


You start at (5, 4). You move left 3 units and up 4 units. Where do you end

Answers

Answer:

21

Step-by-step explanation:63

HELP ME ASAP I NEED HELP SO BAD

Answers

Answer:

x = -3

Step-by-step explanation:

5x + 4y = 1

y = 1 - x

• Substitute (1 - x) into y:

5x + 4(1 - x) = 1

• Distribute:

5x + 4 - 4x = 1

• Combine like terms:

x + 4 = 1

• Subtract the 4 to solve for x:

x = -3

true or false dilations always increase the length of time segments ​

Answers

Answer:

False, The dilation could decrease as well as increase the length of figure or line segment depending on the scale factors it's being dilated by.

Hope this helps!

How do I solve this problem?

Answers

Answer:

21, 18, 15

Step-by-step explanation:

First term = a1

Second term = a2

Third term = a3

a1 = 21

a2

= a + d

= 21 - 3

= 18

a3

= a + 2d

= 21 + 2 ( - 3 )

= 21 - 6

= 15

The first 3 terms are 21, 18, 15.

please help

The lines shown below are parallel. If the green line has a slope of 3, what is
the slope of the red line?

A. -3
B. 3
C. 1/3
D. -1/3

Answers

Answer:

- 3

Step-by-step explanation:

ap ex

Manny walked around basketball court. The courtis 27m long and 17 m wide. What is perimeter of court

Answers

Answer:

The perimeter of the court is 88 m

Step-by-step explanation:

To find the perimeter:  (27 x 2)+(17 x 2)     length*2 + width*2

Hope this helps :)

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