Let cot(x) = StartFraction 5 Over 8 EndFraction, with 0 < x < 90°. What is sin(x)?

StartFraction 5 Over StartRoot 89 EndRoot EndFraction
StartFraction 8 Over StartRoot 89 EndRoot EndFraction

StartFraction StartRoot 89 EndRoot Over 8 EndFraction
StartFraction StartRoot 89 EndRoot Over 5 EndFraction

Answers

Answer 1

Answer:

B.  8/square root of 89

Step-by-step explanation:

got it right on edge :)

Let Cot(x) = StartFraction 5 Over 8 EndFraction, With 0 &lt; X &lt; 90. What Is Sin(x)?StartFraction
Answer 2

Value of sin(x) =  8 / √89, 0 < x < 90.

What are trigonometric functions?

Trigonometric functions can be simply defined as the functions of an angle of a triangle where 0 < x < 90°.

Formula used

In right angled triangle ABC , ∠B = 90° , ∠C = x°

cot (x )= ( Base ) / ( perpendicular)

sin ( x) = ( perpendicular ) / ( Hypotenuse )

Pythagoras theorem

(Hypotenuse)² = (Base)² + (perpendicular)²

(AC)² = (AB)² + (BC)²

Given that

cot (x) =5 / 8 , 0< x< 90

Therefore, by comparing the given values of trigonometric function with the formula ,

Base = 5

perpendicular  = 8

Substitute the value in the Pythagoras theorem,

   (Hypotenuse)² = 5² + 8²

⇒ (Hypotenuse)² = 25 + 64

⇒  Hypotenuse   = √89                  

Therefore,

sin(x) =  8 / √89

Hence Value of sin(x) =  8 / √89, 0 < x < 90

To learn about trigonometric function: https://brainly.com/question/26719838

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Related Questions

What is the solution for the equation 6x - 8 = 4x? x =

Answers

Answer:

x = 4

Step-by-step explanation:

6x - 8 = 4x

subtract 4x from both sides of the equation

6x - 4x -8 = 4x - 4x

2x - 8 = 0

add 8 to both sides of the equation

2x - 8 + 8 = 0 + 8

2x = 8

divide both sides of the equation by 2

2x/2 = 8/2

x = 4

Answer:

x = 4.

Step-by-step explanation:

6x - 8 = 4x

6x - 4x - 8 = 0

6x - 4x = 8

2x = 8

x = 4.

i need HELP!
Model the following situation with an equation or inequality statement.

The quotient of forty-nine and a number is greater than or equal to seven.

Answers

49 ÷ x ≥ 7

hope this helps! :):)

If Hector is 8 years old and Mary is 3 years old, how old will Mary be when Hector is 16? Can I use proportional reasoning in here

Answers

Answer:

Step-by-step explanation:

H=8

M=3

=>difference is 5 years

H=16

=>M=16+5=21

will be nice if you give me brainlies.Good luck!

Answer:

When he is 16 Mary will be 11

Step-by-step explanation:

First subtract 8-3 to see how much older hector is

You will get 5

Now subtract 16-5 to get 11

Can we use proportional reasoning?

NO!!!!!

Reasoning- did we subtract? Yes! You can’t find proportional reasoning if you subtracted or add

what is 5 divided 1/3

Answers

Answer:

15

Step-by-step explanation:

basic math.

Answer:

its 15 i believe

Step-by-step explanation:

wendy already spent $10 on a necklace, and each additional charm is priced at $2 each. write a function that shows the relationship between the number of charms purchased, x and the total cost, f( x)

Answers

Answer:

f(x) = 2x + 10

Step-by-step explanation:

The amount of charms represents x, or the variable. The price of the charm is represented by 2, or the slope. The necklace is the constant, represented by 10.

Kelvin measured the distance from his door to the park. It is 1.5 miles. The distance from Kelvin’s house to the library is twice the distance from Kelvin’s door to the park. How far is it from Kelvin’s to the library?

Answers

Answer:

2.25

Step-by-step explanation:

1.5x1.5= 2.25

it is 1.5 mi from kelvins door to the park, it is 2.25 mi from kelvins house to the library.

hope this helps, let me know if you need more explaining

Answer:

3 miles

Step-by-step explanation:

1.5+1.5=3 miles

7m-3n-4m-7n+3
can someone tell me what is the answer please​

Answers

Answer:

7m-3n-4m-7n+3  = 3m-10n+3

7-4=3

-3-7=-10

What is the distance between
(2,3) (8,9)

Answers

Answer:

Step-by-step explanation:

which number is equivalent to the fraction 18/5
1. 5/18
2. 3
3. 3 3/5
4. 2 8/5
I'm doing a test please hurry ty! :)

Answers

Answer:

3 3/5

Step-by-step explanation:

Answer:

3 3/5

Step-by-step explanation:

A certain video game console uses 154 watt-hours of energy each hour.


The console used 276 hours last year.


How many watt-hours of energy did the console use?


Use any method to solve this problem. You must show all your work.


Then, explain your reasoning and the steps you took to solve the problem.

Answers

Answer:

42,504 watts

Step-by-step explanation:

154x276hours=42,504watts

Answer:

42504

Step-by-step explanation:

As it uses 154 watt-hours per hour, in 276 hours, it would use 42504 as we would multiply the energy usage by the amount of hours used:

154 watt-hours = 1 hour

276 hours = 42504 watt-hours

276*154 = 42504

a six pack of soda is on sale

Answers

Answer:

that is not complete you would need the starting price and the percentage

hope that helps good luck

Answer:

what's the question?

Step-by-step explanation:

i dont know cz u didnt put the question n only a lil bit of information

Use deductive reasoning to show that the two triangles are congruent. given that fab is congruent to ged and c is the midpoint of ae prove that abc is congruent to edc

Answers

Answer:

ΔABC is congruent to ΔEDC by the Angle-Side-Angle congruency rule

Step-by-step explanation:

The

Statement                   [tex]{}[/tex]                                    Reason

∠FAB ≅ ∠GED                   [tex]{}[/tex]                             Given

C = Midpoint of [tex]\overline {AE}[/tex]                     [tex]{}[/tex]                    Given

∠BAC and ∠FAB are supplementary             Angles on a straight line

∠DEC and ∠GED are supplementary             Angles on a straight line

∠BAC ≅ ∠DEC                     [tex]{}[/tex]                            Transitive property

[tex]\overline {AC}[/tex] ≅ [tex]\overline {CE}[/tex]                    [tex]{}[/tex]                                       Definition of midpoint

ΔABC ≅ ΔEDC                     [tex]{}[/tex]                             ASA congruency rule  

Where two angles and an included side of one triangle is congruent to the corresponding two angles and an included side of another triangle, both triangles are congruent.     [tex]{}[/tex]                              

A line passes through the points (–3, –4) and (6, 2). A coordinate plane. What is the x-intercept of this line? –3 –2 2 3

Answers

Answer:

D

Step-by-step explanation:

I got it on edge

Answer:3

Step-by-step explanation:

just did it

if the time is 10pm what time will it be in exactly 12.82 minutes?

Answers

Answer:

.....................

Step-by-step explanation:

Answer:

10:13.22

Step-by-step explanation:

Solve: sqrt(x+9) = x-3

Answers

The answer is (x-3) = 2 lol

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[tex] \sqrt{x + 9} = x - 3[/tex]

Sides gets power 2

[tex] ({ \sqrt{x + 9} })^{2} = ( {x - 3})^{2} [/tex]

[tex] |x + 9| = {x}^{2} - 6x + 9 [/tex]

_________________________________

[tex]x + 9 = {x}^{2} - 6x + 9[/tex]

Subtract sides 9

[tex]x + 9 - 9 = {x}^{2} - 6x + 9 - 9[/tex]

[tex]x = {x}^{2} - 6x[/tex]

Subtract sides x

[tex]x - x = {x}^{2} - 6x - x[/tex]

[tex] {x}^{2} - 7x = 0[/tex]

[tex]x(x - 7) = 0[/tex]

[tex]x = 0[/tex]

OR

[tex]x - 7 = 0[/tex]

[tex] x = 7[/tex]

_________________________________

[tex]x + 9 = - ( {x}^{2} - 6x + 9)[/tex]

[tex]x + 9 = - {x}^{2} + 6x - 9[/tex]

Subtract sides 9

[tex]x + 9 - 9 = - {x}^{2} + 6x - 9 - 9 \\ [/tex]

[tex]x = - {x}^{2} + 6x - 18 [/tex]

Subtract sides x

[tex]x - x = - {x}^{2} + 6x - 18 - x [/tex]

[tex] - {x}^{2} + 5x - 18 = 0[/tex]

Multiply sides by -1

[tex] {x}^{2} - 5x + 18 = 0 [/tex]

[tex]x = No \: \: solution[/tex]

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CHECK the roots :

[tex]x = 0[/tex]

[tex] \sqrt{0 + 9} ≠0 - 3[/tex]

[tex] \sqrt{9} ≠ - 3[/tex]

[tex]3≠ - 3[/tex]

Thus (( x = 0 )) is unacceptable.

+++++++++++++++++++++++++++++++++++++++

[tex]x = 7[/tex]

[tex] \sqrt{7 + 9} = 7 - 3[/tex]

[tex] \sqrt{16} = 4[/tex]

[tex]4 = 4[/tex]

Thus (( x = 7 )) is the only solution for x.

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Done...

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transposing method

+ 21 = 5
how to do ?​

Answers

[tex]x + 21 = 5[/tex]

[tex]x = 5 - 21[/tex]

[tex]\color{hotpink}x = ( - 16)[/tex]

Let us check whether or not we have found out the correct value of x , by placing -16 in the place of x :-

[tex] - 16 + 21 = 5[/tex]

[tex] 5=5[/tex]

[tex]\color{hotpink}LHS = RHS [/tex]

As the left hand side of the equation is equivalent to the right hand side of the equation, we can conclude that we have found out the correct value of x .

Therefore , the value of :-

[tex]\color{hotpink}x \color{olive}=\color{hotpink} ( - 16)[/tex]

Using the diagram below, what is the horizontal distance between the control tower and the plane?

Answers

Answer:

x = 664.093 m

Step-by-step explanation:

tan∅ = opposite over adjacent

Since we are trying to find the horizontal distance, that means we are dealing with the bottom length and not the hypotenuse (the diagonal length):

Our theta (∅) = 52°

Our opposite = 850 m

Our adjacent = x m

tan52° = 850/x

xtan52° = 850

x = 850/tan52°

x = 664.093 m


Max is a real estate agent and receives 2% commission on the first $400 000 and 1.5% on the value thereafter.
Find his commission for selling a property worth $920000. Please help me.​

Answers

Answer:

commission = 15800

Step-by-step explanation:

920000 - 400000 = 520000

400000 x .02 = 8000

520000 x .015 = 7800

8000 + 7800 = 15800

You earn $15.25 an hour. Your brother earns $10.25 an hour. You pay $30 a week for lunches, and your brother pays $15 a week. If both of you work the same number of hours in a week, which inequality can be used to find x, the number of hours you will have to work so that the amount of money you have is greater than the amount your brother has after you both pay for lunch?

Answers

Answer:

15.25+15.25=20.50+15.25=35.75.

3 hours will give you $35.75

Step-by-step explanation: All you have to do is add till you have enough

Need help on this please Help. I would really appreciate it :)

Answers

Answer:

i am not sure but according to me ans is d

Step-by-step explanation:

Ax+By=C

Ax=C-By

A=C-By/x

Write the Equation in standard form The line which passes through (1,-4) and (-1, 6)

Answers

y= -5 there is no b in the equation y=Mx+b because the it passes through the origin

Francisco and Stu were working on simplifying the following polynomial: 4x(2x-3)-5(3x-4). Write the equivalent expression that Francisco and Stu found for the polynomial in standard form?

Answers

Answer: 4x + 3x + 2x - 4 - 3

Step-by-step explanation: The numbers that have an X are considered major than normal numbers , when three numbers have the same X you put first the one that is major . Hope this helped.

The  equivalent expression that Francisco and Stu found for the polynomial in standard form should be considered as the 4x + 3x + 2x - 4 - 3.

Calculation of the equivalent expression:

Since the polynomial is 4x(2x-3)-5(3x-4)

Here the number that should have an X that should be relevant majorly as compared to the normal numbers so here the three numbers should be the similar also X we put first as major.

Therefore, The  equivalent expression that Francisco and Stu found for the polynomial in standard form should be considered as the 4x + 3x + 2x - 4 - 3.

Learn more about an expression here: https://brainly.com/question/13424191

HAAAAALP PLEASE BRAINLIEST PLEASE TRY

Answers

Answer:

D.

Step-by-step explanation:

Sarah deposits $500 into a bank account earning 2% interest per year. The amount
(A) of money in the account at any time (t), in years, is represented by the equation
A (t) = 500(1.02)
Which best describes the equation in words?

A. The amount of money present in the account at any time is a product of 500 and a
power of 1.02.
B. The amount of money present in the account at any time is a power of 500 and a
product of 1.02.
C. The amount of money present in the account at any time is a sum of 500 and
apower of 1.02
D. The amount of money present in the account at any time is a power of 500 and a
sum of 1.02

Answers

Answer:

c

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

2/100*500=10

product is 500 and power is 1.02

Please HLEP me
I’ll give u brainlist ♥️

Answers

Answer:

9.    1:210.   x = 1011.    x = 1212.   A = 8789 ft²

Step-by-step explanation:

see attached image

please help I have no clue how to do this

Answers

Answer:

[tex]x=43\\[/tex]°

Step-by-step explanation:

considering m║n, the two labeled angles are alternate exterior angles. alternate exterior angles are equivalent. So you will have an equation of:

[tex]4x-27=3x+16[/tex]. Add 27 on both sides and get: [tex]4x=3x+43[/tex]. subtract [tex]3x[/tex] from both sides to get: [tex]x=43[/tex]°.

Elisha is paid $280 a week plus commission of $15 per sale. This week, she 2oints wants to earn at least $635. Which inequality represents this inequality?? ​

Answers

Answer:

$280 + $15x ≥ $635

Step-by-step explanation

weekly pay (280) + commision per sale (15x)  ≥ goal (635)

Evaluate 5p - 9q for p = 8 and q = 7.
Plzzz helppp

Answers

Answer:

-23

Step-by-step explanation:

Substitute the value of the variable into the expression and simplify.

Is the function g(x)= -2x^2 -2x+7 linear or nonlinear?

HELPP plsss

Answers

Answer:

Is non-linear

Step-by-step explanation:

It is a quadratic function

Would the answer to this be 6 or 4?

Answers

Answer:

6 or -1

Step-by-step explanation:

6=a^2-5a

=a^2-5a-6

(a-6)(a+1)

a=6, -1

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