x+3=-2x-18 como se resuelbe esto
A right-angle triangle, with two sides adjacent to the right angle labeled x and y respectively, and the hypotenuse is labeled 12 times square root of 3. The angle between the hypotenuse and the side labeled x measures 30 degrees. Find the values of $x$ and $y$ . Write your answers in simplest form.
Answer:
y = 6(sq rt 3)
x = 18
Step-by-step explanation:
y = (0.5)(12)(sq rt 3) = 6(sq rt 3)
x = (0.866)(12)(sq rt 3) = (10.392)(sq rt 3) = sq rt 324
reduced
x = 18
The trigonometric function gives the ratio of different sides of a right-angle triangle. The value of x and y is 18 and 6√3 units respectively.
What are Trigonometric functions?The trigonometric function gives the ratio of different sides of a right-angle triangle.
[tex]\rm Sin \theta=\dfrac{Perpendicular}{Hypotenuse}\\\\\\Cos \theta=\dfrac{Base}{Hypotenuse}\\\\\\Tan \theta=\dfrac{Perpendicular}{Base}\\\\\\Cosec \theta=\dfrac{Hypotenuse}{Perpendicular}\\\\\\Sec \theta=\dfrac{Hypotenuse}{Base}\\\\\\Cot \theta=\dfrac{Base}{Perpendicular}\\\\\\[/tex]
where perpendicular is the side of the triangle which is opposite to the angle, and the hypotenuse is the longest side of the triangle which is opposite to the 90° angle.
Let the side with label x be the base of the triangle and y be the perpendicular.
As the length of the base is x while the angle is 30°, and the length of the hypotenuse is 12√3, therefore, the value of x can be written as,
[tex]Cos \theta=\dfrac{Base}{Hypotenuse}\\\\\\Cos (30^o)=\dfrac{x}{12\sqrt3}\\\\\\Cos (30^o) \times {12\sqrt3}={x}\\\\x = {12\sqrt3} \times \dfrac{{\sqrt3}}{2}\\\\x = 18[/tex]
Now, as we know that the length of the perpendicular side is y, therefore, the value of y can be written as,
[tex]\rm Sin \theta=\dfrac{Perpendicular}{Hypotenuse}\\\\\\Sin (30^o)=\dfrac{y}{12\sqrt3}\\\\\\Sin (30^o) \times {12\sqrt3} ={y}\\\\\\y = \dfrac{1}{2} \times 12\sqrt3\\\\\\y = 6\sqrt3[/tex]
Hence, the value of x and y is 18 and 6√3 units respectively.
Learn more about Trigonometric functions:
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how would i be able to awser this?
Answer:
1872 in
Step-by-step explanation:
156 ft x 1ft = 156ft cause if you multiply 1 with any number its what ever number you multiplied 1 with.
Stan Nicki Minaj the queen of rap
Answer:
WHAT THE HECK WHERE IS THE QUESTION
Answer:
PERIOD POOH
Step-by-step explanation:
ANSWER NOW PLEASE.Solve this system of equations with substitution
x = y - 4
2y = x
Answer:
Step-by-step explanation:
Jacob is working two summer jobs, making $11 per hour babysitting and making $24 per hour tutoring. In a given week, he can work at most 8 total hours and must earn a minimum of $120. If xx represents the number of hours babysitting and yy represents the number of hours tutoring, write and solve a system of inequalities graphically and determine one possible solution.
Answer:
add otherwise I don't know sorry im on that question
Step-by-step explanation:
Expand :
x(x + 7)
please help
Answer:
[tex]it \: is \: \: \: \: {x}^{2} + 7x[/tex]
Step-by-step explanation:
I hope this is be useful for you ^_^
Expand x(x+7)
SOLUTION:▶️x(x+7)
▶️x² + 7
▶️7x²
ANSWER:▶️7x²
2x²-19x+42 (Factor Completely)
[tex]\tt{} {2x}^{2} - 19x + 42[/tex]
[tex]\tt{} {2x}^{2} - 7x - 12x + 42[/tex]
[tex]\tt{}x \times (2x - 7) - 6(2x - 7)[/tex]
[tex]\tt{}(2x - 7) \times (x - 6)[/tex]
Help lovelies of brainly
helppppppppppppppppppppppppppppppppppppp
Answer:
The second statement.
Step-by-step explanation:
Once it gets to 10, if you keep multiplying by 2 it will always end in 0.
Can you please help me. It’s late and I just wanna sleep.
Answer:
You know you could just look up every single one of these
Step-by-step explanation:
Which of the following are exterior angles? Check all that apply.
A. 5
B. 4
C. 1
D. 3
E. 6
F. 2
Answer:
D&E
Step-by-step explanation:
PLZ PLZ PLZ SOMEBODY ANSWERS THIS!!!!
Answer:
C
Step-by-step explanation:
Answer: It's C.
Step-by-step explanation:
Which of the following is the graph of y = - 4sqrt(x)
The graph that looks like this
Answer: D
Step-by-step explanation:
I think
Find the diameter of the circle. please.
Answer:
4
Step-by-step explanation:
2*radius
Answer:4
Step-by-step explanation:
2*2=4
someone help
will mark the brainliest for whoever does it first
Answer:
y = 13√2
x = 13
Step-by-step explanation:
y: The sine of an angle is equal to the ratio of the opposite side to the hypotenuse.
x: Find the last side of the triangle using the Pythagorean theorem.
good luck, i hope this helps :)
What number should go in the space?
Multiplying by 0.64 is the same as decreasing by _____%.
Answer:
36
Step-by-step explanation:
100% - 36% = 64%
This answer is correct 101% trust me!
find volume of a cone
A cone with diameter 10 mi and a height of 10 mi.
A) 233 mi3
B) 195.7 mi3
C) 261.8 mi3
D) 97.9 mi3
Answer:
volume = 261.79938779915 m3
Step-by-step explanation:
And rounded to nearest number is 261.8 mi3 or answer b.
Match each expreeddion with the correct answer
The sum of the lowest prime number and 5 is equal to
which of the following?
Answer:
7
Step-by-step explanation:
They only have to 2 factors for example: 2,3,5,7,11
Answer:
h.7
Step-by-step explanation:
2 is the lowest prime # and the sum of 2 and 5 is 7
Jolly Roger Peanut Butter cost $3.59 for a small jar last year. This year the jar costs $4.19. What is the inflation rate, to the nearest tenth percent?
Answer: 16.7%
I took the k12 unit test
The inflation rate is given by the percentage error and is given by the equation A = 16.71 %
What is Percentage Error?
The difference between an exact value and an approximation to it is the approximation error in a data value. Either an absolute error or a relative error might be used to describe this error.
Percentage error is the difference between the measured value and the true value , as a percentage of the true value
Percentage Error = [ ( | Measured Value - True Value | ) / True Value ]x 100
Given data ,
Let the inflation rate of percentage error be represented as A
Let the cost of the Jolly Peanut butter be = $ 3.59
So , the original cost = $ 3.59
Let the increased rate of Jolly Peanut butter be = $ 4.19
So , the increased rate = $ 4.19
Now , the inflation rate is given by the equation
Percentage Error = [ ( | Measured Value - True Value | ) / True Value ]x 100
Substituting the values in the equation , we get
Inflation rate A = ( ( 4.19 - 3.59 ) / 3.59 ) x 100
On simplifying the equation , we get
Inflation rate A = ( 0.6 / 3.59 ) x 100
Inflation rate A = 0.16713 x 100
Inflation rate A = 16.71 %
Therefore , the value of A is 16.71 %
Hence , the inflation rate is 16.71 %
To learn more about percentage error click :
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if you drive 560 miles 8 hours how many miles do you drive for 1 hour
Answer:
70mph
Step-by-step explanation:
560÷8=70
7=100z what does z equal?
Answer:
z = 7/100
Step-by-step explanation:
Answer:
Step-by-step explanation:
7/100z
is this an exponential function?
Answer:
I believe so! good luck!
Step-by-step explanation:
brain chooses an integer, multiplies it by 4 then subtracts 30. He then multiplies his answer by 2 and finally subtracts 10. His answer is two digest number.
What is the largest integer he cold have chosen?
(lots of working's out plz)
thx =]
Answer:
4x-30=2-10
4x= 2-10+30
4x= 2-40
4x=-38
x-38/4
PLEASE PLEASE HELP MEEE
Answer:
24
Step-by-step explanation:
1/2bh
!!!!!!PLS HELP!!!!!!
Answer:
55%
Step-by-step explanation:
1/4 - Micah will only have a 25% chance of selecting a blue pencil.
1/5 - Micah will only have a 20% chance of selecting a red pencil.
So, to conclude this, Micah only has a 55% chance of selecting a yellow pencil.
please help. im completey lost
Answer:
I had it before and it is 15 ft²
Plsss help want is the second answer
Answer:
5 1/2 is your second answer :)
Answer:
[tex]A)5\frac{1}{2}[/tex]
Step-by-step explanation:
To multiply a number and a mixed number, first convert the improper fraction to a mixed number. This can be done by multiplying the "number" part of the mixed number by the denominator (number underneath the fraction bar) and then adding the result to the numerator. After doing so, one can either multiply the improper fraction by the number, and then simplify the result, or one can cross simplify the number and the denominator, then multiply by the numerator.
[tex]4 * 1\frac{3}{8}\\\\4 * \frac{11}{8}\\\\=\frac{44}{8}\\\\= \frac{11}{2}[/tex]
Now one must convert this improper fraction to a mixed number. One can do this by diving the numerator by the denominator, writing the result as the "number" part of the mixed number, and then writing the remainder as the numerator of the fraction.
[tex]5\frac{1}{2}[/tex]
Ron has £28
On Friday, he spent of his money.
On Saturday, he spent of his remaining
money and gave £2 to his sister.
On Sunday, he spent of his remaining
money.
How much money does Ron have left?
What fraction of his original amount is
| this?
This is of a set of beanbags.
Type here to search
Answer:
the answer is 2/5
Step-by-step explanation: