Using the Pythagorean Identity find the cos(0) if the sin(0) =20/29 given that the terminal side is in the 2nd
quadrant. You must show all work.

Answers

Answer 1

The value of cosθ from the trigonometric identity is equal to -21/29

Data;

sin(0) = 20/29quadrant = 2nd quadrant

Pythagorean Theorem

This formula is used to find the missing side of a right angle triangle.

This is given as

[tex]hypothenuse^2 = adjacent^2 + opposite^2[/tex]

But in trigonometric ratio, the sine ratio is

[tex]sin \theta = \frac{opposite}{hypothenuse}[/tex]

This implies that

opposite = 20hypothenuse = 29adjacent = ?

Let's find the adjacent using Pythagorean theorem

[tex]x^2 = y^2 + z^2\\29^2 = 20^2 + z^2 \\z^2 = 29^2 - 20^2\\z^2 = 441\\z = \sqrt{441} \\z= 21[/tex]

Now that we know the value of adjacent,

The value of cos(0) will be

[tex]cos \theta = \frac{adjacent}{hypothenuse} \\cos \theta =- \frac{21}{29}\\[/tex]

Note: The negative sign in front of the ratio indicates the fact that in the second quadrant, only sine theta is positive, the rest are negative.

The value of cosθ is equal to -21/29

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Related Questions

There are 36 squares on each red and white checkered tablecloth. How many squares are there on 7,011 tablecloths

Answers

Answer:

36 squares per table cloth, so;

36 x 7,011 = 252,396, there are 252,396 squares.

Since there are 7011 tablecloths and 36 squares on each one, you would need to multiply 7011 by 36 to get 252,396. So there are 252,396 squares on 7011 tablecloths.

Find the 60th term of the arithmetic sequence -10, 8, 26, ...

Answers

Answer:
Sn=a+(n-1)d
n=60,a=-10,d=8-(-10)=8+10=18
S60=-10+(60-1)18
S60 =-10+(59)18
S60=-10+1062
S60 =1052

PLEASE HELP!!!
What is the formula of g in terms of f?
Choose 1 answer:
A. - 1/3 f(x)
B. f(-3x)
C. -3f(x)
D. f (- 1/3x)

Answers

Answer:

A

Step-by-step explanation:

y = a f(x)

If |a| > 1 then a f(x) is f(x) stretched vertically by scale factor of a

If 0 < |a| < 1 then f(x)  is squashed vertically

If a < 0 then f(x)  is also reflected in the x-axis

y = f(ax)

If |a| > 1 then f(ax) is f(x) squashed horizontally by a scale factor of a

If 0 < |a| < 1 then f(x)  is stretched horizontally

If a < 0 then  f(x) is also reflected in the y-axis

g(x) has been squashed vertically by a scale factor of 1/3 (green on the attached diagram) and then reflected in the x-axis (red on the attached diagram)

Therefore, the solution is [tex]g(x) = -\dfrac13f(x)[/tex]


Seven less than the product of a number n and 1/7 is no more than 98.

Answers

Answer:
1/7(n)-7
< 98

Step-by-step explanation:

Complete the equation:

Answers

Answer:

A

Step-by-step explanation:

x^2-14x+49 factors into (x-7)(x-7) or (x-7)^2

Please read directions do number 1

Answers

Square:4*5
=20m^2

Triangle:1/2*10*5
=25m^2

PLEASE HELP AS SOON AS POSSIBLE! ​

Answers

Step-by-step explanation:

(i) 240 ÷ 4000 = 0.06

(ii) 760 ÷ 4000 = 0.19

(iii) (20 + 10) ÷ 4000 = 0.0075

I guess this is the answer

i am not sure!!!!

Please help! I think I have the equation set up.

Answers

[tex]\bold{\huge{\underline{ Solution }}}[/tex]

Given :-

Here, we have given one quadrilateral that is quadrilateral ABCD We also have given the angles of quadrilateral that is ( 6x + 5)° , ( 9x - 10)° , 80° and a right angle

To Find :-

Here, we have to find the value of x

Let's Begin :-

We have given quadrilateral ABCD here , whose angles are as follows

Angle A = ( 6x + 5)°Angle B = ( 9x - 10)°Angle C = 80°Angle D = A right angled triangle

[ The measure of right angled triangle is 90° ]

We know that,

Sum of the angles of quadrilateral is equal to 360°

That is

[tex]\bold{\angle{ A + }}{\bold{\angle{B +}}}{\bold{\angle{C + }}}{\bold{\angle{D + = 360{\degree}}}}[/tex]

Subsitute the required values

[tex]\sf{ ( 6x + 5){\degree} + 80{\degree}+ 90{\degree} + (9x - 10){\degree} = 360{\degree}}[/tex]

[tex]\sf{ 6x + 5 + 170{\degree} + 9x - 10 = 360{\degree}}[/tex]

[tex]\sf{ 15x - 5 = 360{\degree} - 170{\degree}}[/tex]

[tex]\sf{ 15x - 5 = 190 {\degree}}[/tex]

[tex]\sf{ 15x = 190 {\degree} + 5 }[/tex]

[tex]\sf{ 15x = 195 {\degree}}[/tex]

[tex]\sf{ x = }{\sf{\dfrac{ 195}{15}}}[/tex]

[tex]\sf{ x = }{\sf{\cancel{\dfrac{ 195}{15}}}}[/tex]

[tex]\bold{ x = 13 }[/tex]

Hence, The value of x is 13 .

[tex]\bold{\huge{\underline{\red{ Verification }}}}[/tex]

Measure of Angle A

[tex]\sf{ = (6x + 5){\degree}}[/tex]

[tex]\sf{ = (6(13) + 5 ){\degree}}[/tex]

[tex]\sf{ = (78 + 5 ){\degree}}[/tex]

[tex]\sf{ = 83{\degree}}[/tex]

Measure of Angle D

[tex]\sf{ = (9x - 10){\degree}}[/tex]

[tex]\sf{ = (9(13) - 10){\degree}}[/tex]

[tex]\sf{ = (117 - 10 ){\degree}}[/tex]

[tex]\sf{ = 107{\degree}}[/tex]

Now, we know that,

Sum of angles of triangles is equal to 360°

That is,

[tex]\sf{ 83{\degree} + 80{\degree}+ 90{\degree} + 107 {\degree} = 360{\degree}}[/tex]

[tex]\sf{ 163{\degree}+ 90{\degree} + 107 {\degree} = 360{\degree}}[/tex]

[tex]\sf{ 253{\degree}+ 107 {\degree} = 360{\degree}}[/tex]

[tex]\sf{ 253{\degree}+ 107 {\degree} = 360{\degree}}[/tex]

[tex]\bold{ 360{\degree} = 360{\degree}}[/tex]

[tex]\bold{ LHS = RHS }[/tex]

Hence, Proved.

Can someone help me solve this problem please

Answers

Answer:

=10cm

Step-by-step explanation:

=4times5 divided by 2

But that is only one triangle, the whole area is 40cm*2

HELP PLEASEEEE 24 points!! 7th grade math

Answers

Answer:

I think that A 60 and B is acute it must de a bigger 90.

Step-by-step explanation:

Please I need help. Use the diagram to find the measure of LM.

Answers

The arc angle LM of the circle is 60 degrees.

How to find the arc angle of a circle?

The arc angle LM of the circle can be found as follows:

The central angle of an arc is the central angle subtended by the arc. The measure of an arc is the measure of its central angle.

Therefore, let's find the central angle that subtend LM in the circle as follows:

central angle = 180 - 120 = 60 degrees(angle on a straight line)

Hence, the central angle is equals to the arc angle.

Therefore,

arc LM = 60 degrees

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What is the surface area? 1 in 2 in 2 in square inches

Answers

Answer:

4 inches squared… but if this is wrong it’s probably because you didn’t specifically say what shape it is

what quadrilateral is this​

Answers

" First of all, this is a hexagon which has 6 sides and 6 angles "

It is usually referred as regular Hexagon.

Answer:

Step-by-step explanation:

This is NOT a quadrilateral as the shape has 6 sides with 2 pairs of them parallel to each other.  All quadrilaterals have 4 sides instead.

What is the slope of a line perpendicular to the line whose equation is 15x+18y=270. Fully simplify your answer.

Answers

Answer:

6/5

Step by step explanation:

Here we are provided with a equation which is ,

[tex]\longrightarrow 15x + 18y = 270 [/tex]

And we are interested in finding the slope of the line which is perpendicular to the given line. We may rewrite the equation as ,

[tex]\longrightarrow 18y = -15x +270\\ [/tex]

[tex]\longrightarrow y =\dfrac{-15x+270}{18}\\[/tex]

[tex]\longrightarrow y =\dfrac{-15}{18}x +\dfrac{270}{8}\\ [/tex]

[tex]\longrightarrow y =\dfrac{-5}{6}x +\dfrac{135}{4} [/tex]

Recall the slope intercept form of the line which is y = mx + c .On comparing to which we get ,

[tex]\longrightarrow m =\dfrac{-5}{6} [/tex]

Again , recall that product of slopes of two perpendicular lines is -1. So that ,

[tex]\longrightarrow m_{\perp} =-\bigg(\dfrac{1}{m}\bigg)[/tex]

Hence ,

[tex]\longrightarrow\underline{\underline{ m_{\perp}= \dfrac{6}{5}}}[/tex]

And we are done !

The slope of the line perpendicular to the line with the equation 15x + 18y = 270 is 6/5.

The equation of the given line is 15x + 18y = 270. To find the slope of this line, we need to rearrange the equation into slope-intercept form, which is y = mx + b, where 'm' represents the slope.

First, solve for 'y':

18y = -15x + 270

y = (-15/18)x + 270/18

y = (-5/6)x + 15

The slope of the given line is -5/6.

For a line perpendicular to this, the slope will be the negative reciprocal of -5/6. The negative reciprocal of a fraction 'a/b' is -b/a.

So, the slope of a line perpendicular to the given line is:

Slope = -(-6/5) = 6/5

Fully simplified, the slope of the line perpendicular to the line with the equation 15x + 18y = 270 is 6/5.

To know more about slope:

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I need help!


I've been stuck on these for a couple days.


Each one is a different question.


Thanks

Answers

two segment drawn from one point outside the circle are equal

[tex]\\ \rm\hookrightarrow 6/x=5/x+3[/tex]

[tex]\\ \rm\hookrightarrow 6(x+3)=5x[/tex]

[tex]\\ \rm\hookrightarrow 6x+6=5x[/tex]

[tex]\\ \rm\hookrightarrow x=-6[/tex]

#2

[tex]\\ \rm\hookrightarrow \dfrac{4}{2x}=\dfrac{5}{x}[/tex]

[tex]\\ \rm\hookrightarrow 4x=10x[/tex]

No solution.

Find a . b if a = 3i + 8j and b= -0.5i - 4j.

Answers

Answer:

Step-by-step explanation:

a ramp 19 ft long rises to a platform that is 17 ft off the ground. Find x, the angle of elevation of the ramp

Answers

We can use the sine of the triangle to solve for the angle.
sin
θ
=
18
20
θ
=
sin

1
(
18
20
)
θ
=
64.16
o

HELPP FOR BRUANLEST!!!

Answers

Answer:

17/18

Step-by-step explanation:

okay this one is a bit different

you have to take the total number that are batwing-shaped (12) and the total number that are made of cotton (12) and then subtract the ones that are both batwing-shaped and made of cotton.

so 12+12-7 which is 17

then you put that over the total (18)

17/18 doesn't simplify

Chloe has 12 commemorative plates and 18 commemorative spoons. She wants to display them in groups throughout her house, each with the same combination of plates and spoons, with none left over. What is the greatest number of groups Chloe can display?

Answers

6 plates with 3 spoons or 9 plates with 2 spoons

The point (7,0) is reflected over the x-axis. What do you notice about the coordinates of the reflected point? Why is this

Answers

Answer:

reflected point: (7, 0)any point on the line of reflection is invariant

Step-by-step explanation:

The point (7, 0) becomes the point (7, 0) when reflected over the x-axis. That is, its coordinates do not change.

The point (7, 0) lies on the x-axis, so is on the line of reflection. Any point on the line of reflection is invariant--it doesn't move.

__

The transformation for reflection in the x-axis is ...

  (x, y) ⇒ (x, -y)

  (7, 0) ⇒ (7, 0) . . . . . . the opposite of 0 is 0

Teresa bought 4 gallons of juice for her family. How many ounces of juice did Teresa buy?

Answers

She bought 512 ounces of juice

please please, please, please, please, please, please help me please

Answer:

The lines are parallel.

The lines are perpendicular.

The lines must have a slope value of m=1.

The lines intersect at the origin

Answers

Answer:

the lines are parallel because yes

HELP 100 POINTS The population of a city is modeled with the function P=250,000e^0.013t​, where t is the number of years since 2000. In what year will the population reach ​450,000?

Answers

Pretty difficult problem, but that’s why I’m here.
First we need to identify what we’re looking for, which is t. So now plug 450k into equation and solve for t.
450000 = 250000e^0.013t
Now to solve this, we need to remember this rule: if you take natural log of e you can remove x from exponent. And natural log of e is 1.
Basically ln(e^x) = xln(e) = 1*x
So knowing this first we need to isolate e
450000/250000 = e^0.013t
1.8 = e^0.013t
Now take natural log of both
Ln(1.8) = ln(e^0.013t)
Ln(1.8) = 0.013t*ln(e)
Ln(1.8) = 0.013t * 1
Now solve for t
Ln(1.8)/0.013 = t
T= 45.21435 years
Now just to check our work plug that into original equation which we get:
449999.94 which is basically 500k (just with an error caused by lack of decimals)
So our final solution will be in the 45th year after about 2 and a half months it will reach 450k people.

I need advice on this answer not good at math​

Answers

Answer:

A rational number is defined as a number that can be written as a fraction and a number that terminates.

An irrational number is defined as a number that can't be written as a fraction and a number that has no end.

Step-by-step explanation:

4/7 is irrational because, in decimal form, it is 0.57142857...

Square root of 30 is also irrational because the square root is 5.47722557...

21 divided by square root of 4 is rational because square root of 4 is 2 and 21 divided 2 is 10.5.

pi is irrational because, in decimal form, it is 3.14159265....

-27 is also rational because it terminates

Answer:

4/7 rational, Sq root 30 irrational, 21/Sq root 4 rational, pi irrational, -27 irrational

Step-by-step explanation:

3) Estimate the product by rounding each number to its highest place value. 3,812.99 x 62.7=

Answers

Answer:

The answer without rounding the numbers to the highest place value is 239074.473 if this was rounded to the nearest whole number it will be 239074

Step-by-step explanation:

3812.99 would be rounded to 3813

62.7 would be rounded to 63

3813*63=240219 <-----Correct answer

hope this helps mark brainliest please :)

How are the expressions 1/3Bh and 1/3 πr²h related?

Answers

i don’t know, i’m just as lost... but i need help so i’m just writing answers to get more access to other answers

Hey!!! Can anyone help me please!

Answers

Answer:

it will not change

Step-by-step explanation:

the outlier is 3

the mode is the most occuring value in the list which is 16 before and after the 3 is removed

Analyzing Tables for Exponential Relationships
Which table represents an exponential function?

1
2
3
?

Answers

The second one because the multiplier is the same.

You multiply each output by 4 to get the next output.

Angle e and f are vertical angles if angle e has a measure of (4x +2) degrees and angle f has a measure of 70 degrees what is the value. Of x

Answers

Answer: 17

Step-by-step explanation:

Math problem of in to feet. The answer that I have is incorrect.

Answers

Answer: 15.75

Step-by-step explanation: 4.5 x 3.5

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