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:
B. 8/square root of 89
Step-by-step explanation:
got it right on edge :)
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
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
What is the distance between
(2,3) (8,9)
Answers
Answer:
Step-by-step explanation:
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
HAAAAALP PLEASE BRAINLIEST PLEASE TRY
Answers
Answer:
D.
Step-by-step explanation:
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
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
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
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[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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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! :):)
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
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
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
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
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]
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]°.
Write the Equation in standard form The line which passes through (1,-4) and (-1, 6)
Answers
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.
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
Please HLEP me
I’ll give u brainlist ♥️
Answers
Answer:
9. 1:210. x = 1011. x = 1212. A = 8789 ft²Step-by-step explanation:
see attached image
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.
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
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.
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
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:
what is 5 divided 1/3
Answers
Answer:
15
Step-by-step explanation:
basic math.
Answer:
its 15 i believe
Step-by-step explanation:
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]
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)
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
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
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