Answers
Answer:
a
Step-by-step explanation:
just did it and got right
The required value of the trigonometric operator tan(π/12) = 2 -√3. None of them is correct.
These are the equation that contains trigonometric operators such as sin, cos.. etc. In algebraic operation.
Let,
= [tex]tan(\pi /12) = tan((3-2)\pi /12)[/tex]
[tex]= tan[(3\pi -2\pi )/12]\\=tan(3\pi /2-2\pi /12)\\=tan(\pi /4-\pi /6)\\=\frac{tan(\pi/4)-tan(\pi/6)}{1+tan(\pi/4)tan(\pi/6)}[/tex]
= [tex]\frac{1-1/\sqrt{3} }{1+1*1/\sqrt{3} } \\[/tex]
[tex]=\frac{(\sqrt{3}-1)/\sqrt{3}}{(\sqrt{3}+1))/\sqrt{3}}[/tex]
[tex]=\frac{(\sqrt{3}-1)}{(\sqrt{3}+1)}\\=\frac{(\sqrt{3}-1)(\sqrt{3}+1)}{(\sqrt{3}+1)(\sqrt{3}+1)}\\=\frac{(3-2\sqrt{3}+1)}{(3-1)}\\\\=\frac{(4-2\sqrt{3})}{(2)}\\={(2-\sqrt{3})}\\[/tex]
Thus, the required value of the trigonometric operator tan(π/12) = 2 -√3. None of them is correct.
Learn more about trigonometry equations here:
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Related Questions
7/2x+1/2x=6+5/2x pls help
Answers
Answer:
4
Step-by-step explanation:
7/2+1/2=8/2
8/2=6=5/2
8/2-5/2=3/2
3/2=6
3/2=1.5
6/1.5=4
Find the slope of the line.
Answers
Answer:
4
Step-by-step explanation:
answer this i need it quick PLEASE
Answers
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[tex] \frac{13x - 37}{2} = 2x + 13 \\ [/tex]
Multiply sides by 2
[tex]2 \times \frac{13x - 37}{2} = 2 \times (2x + 13) \\ [/tex]
[tex]13x - 37 = 4x + 26[/tex]
Subtract sides 4x
[tex] - 4x + 13x - 37 = - 4x + 4x + 26 \\ [/tex]
[tex]9x - 37 = 26[/tex]
Add sides 37
[tex]9x - 37 + 37 = 26 + 37[/tex]
[tex]9x = 63[/tex]
Divide sides by 9
[tex] \frac{9x}{9} = \frac{63}{9} \\ [/tex]
[tex]x = 7[/tex]
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[tex]DE = 2x + 13[/tex]
[tex]DE = 2(7) + 13[/tex]
[tex]DE = 14 + 13[/tex]
[tex]DE = 27[/tex]
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The correct answer is Option four .
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A car is moving at a steady rate. The distance it travels is proportional to the amount of time, in hours, it has been driving. It has traveled a total of 168 miles in 3 hours. (a) What is the ratio of the distance to the number of hours? Express as a fraction and as a unit rate with appropriate units.
Answers
Step-by-step explanation:
let distance travelled be d miles and time be t hours.
d = kt where k is a constant, k ≠ 0
168 = 3k
k = 56
d/t = k
hence it's ratio is 56 : 1 and fraction is 168/3 = 56/1 and fraction with unit is 56miles/hour.
Topic: direct & inverse proportions
If you like to venture further, do check out my insta (learntionary) where I regularly post useful math tips! Thank you!
how do I solve 9x-4= -44
Answers
•add 4 to both sides to isolate the variable
9x = -40
•divide both sides by 9 to isolate the variable
x = -40/9 or −4.444...
Laundry detergent is priced at 20 ounces for $3.40 or 14 ounces for $2.10.what is the the unit rate of the laundry detergent that is better value?
Answers
Answer:
0.17 cents per ounce, which is the 20 ounce
Step-by-step explanation:
3.40 / 20 = 0.17 cents per ounce
2.10/14 = 0.15 cents per ounce
Answer:
14 Ounces for $2.10
Step-by-step explanation:
To find the answer you need to find the cost per ounce by dividing the cost by the ounces
3.40/20 = 0.17. So $0.17 per ounce
2.10/14 = 0.15. So $0.15 per ounce
Mila reads at a rate of 3 paragraphs per minute.
After reading for 4 minutes, she had read a total of 12 paragraphs.
This situation can be represented with a linear equation written in point-slope form, where x represents the number of minutes and y represents the number of paragraphs.
Use this information to complete each statement about the linear equation.
Answers
Answer:
y= 3x
Step-by-step explanation:
This is honestly your basic times tables if we are being honest. We know that she read 3 paragraphs per minute. We also know that in 4 minutes, she read 12 paragraphs. 4 times 3 = 12. So the answer is y=3x.
Answer:
slope of the linear equation is 3
a point on the graph of a linear equation is (4,12)
linear equation can be written as y-12 = 3 (x-4)
Step-by-step explanation:
Cuz it is
PLEASE HELP ME 16 POINTS PLEASE HELP
Answers
Answer:
Slope: Rise/run
= -2/4
= -1/2
Answer:
-1/2
Step-by-step explanation:
Like I said in your previous question!!
RISE/RUN.
Choose a point, rise how many you need to, then run. Since you run 'backwards' after rising, this slope is negative!
I hope this helps!!
Help me now!!!!! This is due at 12
Answers
i know this because
2 x 9 = 18
4 x 9 = 36
and 14 x 9 = 126
so, the constant of this proportional ratio table is 9
144 divided by 9 is 16
Answer:
umm what grade are you in???
144/9= 16!!!!!
Step-by-step explanation:
anyways wont act exactly like you and the answer is 16
6w-19+k when w=8 and k=2
Answers
6(8) - 19 + (2)
6(8) = 48
48 - 19
29 + 2 = 31
Answer:
f
Step-by-step explanation:
f
Given that sin θ = 3/4 and θ is in Quadrant II:
Find cos θ.
Answers
this is for the Sin
*Remember that sin = opposite / hypotenuse*
a² + b² = c² (where a and b are legs and c is the hypotenuse)
From the picture, you can see:
a = 3
c = 4
Plug these into the equation and solve for b.
* a² + b² = c² *
step 1: 3² + b² = 4²
step 2: 9 + b² = 16
step 3: b² = 16 - 9
step 4: b² = 7
step 5: √(b²) = √7
step 6: b = ± √7
FOR COS:
From the picture, you can see that if θ is in quadrant II, b has to be negative.
b = -√7 = adjacent
Remember that cos θ = adjacent / hypotenuse.
cos θ = adjacent / hypotenuse
cos θ = (-√7 / 4)
Tickets to a baseball game cost $22 each and parking costs $10. What is the equation of the line that represents the cost of attending the game?
y-22=10x y=22x-10 y=22x+10 22x+y=10
Answers
Today only every sweatshirt is $5.75 less than normal price. Right now if you buy 5 sweatshirts. The total cost will be $78.75. What is the normal price of the sweatshirt?
Answers
Answer:
13.695
Step-by-step explanation:
78.75/5=15.75/5.75=2.739*5=13.695
BONUS! What is the slope of the line that passes through (-3, 5) and (-1, 8)?
Answers
Answer:
The slope is 3/2
Step-by-step explanation:
Slope formula y2 - y1
x2 - x1
8-5/-1+3
3/2
The slope is 3/2
~PumpkinSpice1
Answer:
The slope is 3/2
Step-by-step explanation:
Use slope intercept form. [tex]\frac{y_2-y_1}{x2-x_1}[/tex]
[tex]\frac{8-5}{-1-(-3)}[/tex] = [tex]\frac{3}{2}[/tex]
Kendall bought a vase that was priced at $450. in addition, she had to pay 3% sales tax. How much did she pay for the vase?
Answers
Answer:
$463.50
Step-by-step explanation:
3% of 450 is 13.50
450+13.50=463.50
hope this helps :3
if it did pls mark brainliest
463.5 idrk
but 3& make it into a decimal so .03 then multipy it by 450 then you get 13.5 you add it to 450 and get 463.5
What is the slope of the line that passes through these two points (0, -2) and (3, -4)?
Answers
Answer:
2
Step-by-step explanation:
Use the slope formula [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\frac{-4-(-2)}{3-0}[/tex] = [tex]\frac{6}{3}[/tex] = 2
The slope of the line will be "[tex]-\frac{2}{3}[/tex]".
The given points are:
[tex](x_1, y_1) = (0, -2)[/tex]
[tex](x_2, y_2) = (3, -4)[/tex]
As we know,
→ The slope of the line:
= [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
By substituting the values, we get
= [tex]\frac{-4-(-2)}{3-0}[/tex]
= [tex]\frac{-4+2}{3}[/tex]
= [tex]-\frac{2}{3}[/tex]
Learn more about slope of line here:
https://brainly.com/question/18891994
what is the value of x
Answers
Umm there is no numbers
PLEASE PLEASE PLEASE HELP I WILL GIVE XTRA POINTS AND BRAINALIST TO FIRST PERSON
Answers
Answer:
the answer is A because it has all numbers less than 15
Step-by-step explanation:
HELPPPP! ILL GIVE YOU BRAINLIEST!
Answers
Answer:Can you put the question?? Thank You
Step-by-step explanation:
Answer:
what can i help with?
Step-by-step explanation:
can someone explain how to calculate a unit rate
Answers
Answer:
It's like 60 miles per (1) hour or 20 mL per (1) second. Independent value has to equal 1.
Зу +6 - 4(х - 9) Standard Form
Answers
Answer:
3y + 42 -4x
Step-by-step explanation:
3y +6 -4(x-9) distribute -4 through the ( )
3y + 6 -4x + 36 calculate add the numbers
3y + 42 -4x
find the zeros of the polynomial x square-3 and verify the reationship between the zeros and the coefficient.
Answers
Answer:
√3, and -√3
Step-by-step explanation:
to find the zeros or roots of the polinomial x²-3 make it equal to zero and solve for x
x²-3=0 add 3 to both sides to isolate x
x² = 3 squareroot both sides
√x²= √3
x= ±√3 are the two zeros
A line with a slope of 3 passes through (2,5). Which choice is an equation of this line?
Answers
Answer:
y=3x-4
Step-by-step explanation:
a slope of 3 means that the equation will definitely start like this
y=3x +/- b
to find b, substitute the coordinates given, so
5=3 x 3 +/- b
5=9 +/- b
5-9=b
-4=b
so the equation would be
y=3x-4
the polygons in each pair are similiar. help find the missing side length???
Answers
Answer:
[tex]x=12[/tex]
Step-by-step explanation:
Since the polygons are similar, we can use the formula: [tex]\frac{x}{15}=\frac{32}{40}[/tex]. Using cross-multiplication , we obtain: [tex]40x=15*32\\x=\frac{15*32}{40}= 12[/tex].
What are the excluded values of x for
Answers
Answer:
x = - 2, x = 9
Step-by-step explanation:
Given
f(x) = [tex]\frac{x^2-9x}{x^2-7x-18}[/tex]
The denominator of f(x) cannot be zero as this would make f(x) undefined.
Equating the denominator to zero and solving gives the values that x cannot be.
x² - 7x - 18 = 0
(x - 9)(x + 2) = 0
Equate each factor to zero and solve for x
x + 2 = 0 ⇒ x = - 2
x - 9 = 0 ⇒ x = 9
The excluded values are x = - 2, x = 9
solve.
1/x = 1/5x = x-1/5x
Answers
Answer:
5=x=x-1
Step-by-step explanation:
Mutiply each equation by 5x
You will get 5=x=x-1
i need help ASAP ill mark u a brainiest i need an answer thats it
Answers
Answer:
I think it's 7.5 correct me if i'm wrong
Step-by-step explanation:
7.5 is half of 15
Use the midsegement theorem
What is 7x=5y x 6. Plllllssss heeelllp meh. Im stupid and don't know what this is.
Answers
Answer:
x=0
Step-by-step explanation:
"x6" was replaced by "x^6".
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :7x-(5y*x^6)=0
7x - 5x6y = 0
7x - 5x6y = -x • (5x5y - 7)
-x • (5x5y - 7) = 0 Hope this helps and you are not stupid everybody has at least something that they dont understand :)))
Find the length of the diagonal of a square with perimeter 56
Answers
Answer:
About 19.8
Step-by-step explanation:
First find the side lengths. In this example, 56/4=14
Next use the Pythagorean theorem, to us it, here's the formula a squared plus b squared equals c squared. For this example use 14 squared plus 14 squared which equals 392.
Finally take the square root of 392 because we still need to take the squared out in c. The square root of 392 rounded to the nearest tenth is 19.8.
Help me solve this problem please
Answers
Answer:
sorry im just answering this cuz need points
Step-by-step explanation: