What is the exact value of tan
(19pie/12)
Answers
Answer:
[tex]\displaystyle -\sqrt{3} - 2[/tex]
Explanation:
If you recall the unit circle [from the polar graph], you would have no trouble at all figuring this out, but sinse you have trouble, do not worry about it. So, here is what you should have realised:
[tex]\displaystyle \boxed{1\frac{1}{2}\pi} = \frac{18}{12}\pi[/tex]
If you did not notise, [tex]\displaystyle 1\frac{7}{12}\pi,[/tex]or [tex]\displaystyle \frac{19}{12}\pi,[/tex]is just [tex]\displaystyle \frac{\pi}{12}[/tex]more than [tex]\displaystyle 1\frac{1}{2}\pi,[/tex]which means the exact value will either be a radical, followed by an integer or just a radical. In this case, accourding to the unit circle, you will have a radical, followed by an integer, and that will be this:
[tex]\displaystyle \frac{sin\:1\frac{7}{12}\pi}{cos\: 1\frac{7}{12}\pi} = tan\:1\frac{7}{12}\pi \\ \\ \boxed{-\sqrt{3} - 2} = \frac{sin\:1\frac{7}{12}\pi}{cos\: 1\frac{7}{12}\pi}[/tex]
It is all about memorisation of the unit circle, which I know is difficult, but you will get used to it soon.
*Now, if you had to find [tex]\displaystyle cos\:\frac{7}{12}\pi,[/tex]then the exact value would be the OPPOCITE of the exact value of [tex]\displaystyle sin\:\frac{7}{12}\pi,[/tex]which is [tex]\displaystyle -\frac{\sqrt{2} + \sqrt{6}}{4},[/tex]because you would be crossing into the second quadrant where the x-coordinates are negative, accourding to both the cartesian and polar graphs. In addition, sinse you ALREADY have both values for sine and cosine [accourding to your PREVIOUS QUESTION ASKED], all you need to do is divide both values in the order given above to arrive at the exact value for [tex]\displaystyle tan\:1\frac{7}{12}\pi.[/tex]
I am joyous to assist you at any time.
Related Questions
Hurry please
Write the equation of a line PERPENDICULAR to the line y = 3x + 2 that passes through
the point (9,-2)
A. y=-1/3x +1
B. y=-1/3x-5
C. y=1/3x-5
D. y = 3x-29
Answers
Answer:
y=3x-7
Step-by-step explanation:
To find the equation of a perpendicular line, you first need to find the negative reciprocal of the slope given. The slope is -1/3, so the slope of the perpendicular line will be 3
Now we just need to find the y intercept using the point (3, 2) and you can plug the coordinates in and then solve for b. Let's see what that looks like.
y=3x+b
2=3*(3)+b
2=9+b
-7=b So now we know the y-intercept and slope. We just put them together now
y=3x-7
Hope this helps!
Write 8x2 − 5 + 7x4 − 9x − x5 in standard form.
Answers
Answer:
−x5 + 7x4 + 8x2 − 9x − 5
Step-by-step explanation:
I do not have one so sorry :/
The area of a square-shaped rug is 144 ft^2. What is the perimeter, in feet, of the rug?
Answers
Answer:
48 feet
Step-by-step explanation:
The rug is a square so that means that the sides are going to be the same length. 12*12 = 144 so the lengths of the sides are 12 feet. 12+12+12+12 = 48
hope this helped! :)
Answer:
I might be wrong but I believe the answer is 48 ft.
Step-by-step explanation:
Find x plissssssssssssss
Answers
Here are the three triangles for the last question!
Answers
See the analysis
[tex]Petermine\ the\ opposite\ side\\ to\ the\ angle\ and\ the\ adjacent\\ Side[/tex]
[tex]tan\propto=\frac{opposite}{adjacent}[/tex]
Answer to Question #11Answer: see the analysis.
[tex]Solution:\\ The\ sine\ of\ an\ angle\ is\ the\ ratio\ of\ Opposite\ to\ Hypotenuse.\\ So,\ we\ can\ use\ the\ formula\ \sin{\theta}=\frac{Opposite}{Hypotenuse}to\ calculate\ the\ sine\ of\\ an\ angle\ in\ a\ right\ triangle.[/tex]
Answer to Question that asked "How would your results change if you used Angle B Instead of Angle A?"Ans No Change
[tex]Ans\ No\ change\\ After\ changing\ A\ to\ B\ no\ change\ will\\ be\ there[/tex]
Answer to Question #12the ansurer is
cose C = Base/Hypitenuse = BC/AC
[tex]Solution:\\ cosine\ of\ angle\ is\ the\\ Natis\ of\ base\ to\ the\\ lypotenuse\ of\ the\ friangle\\ cos\ C=\frac{BC}{AC}[/tex]
I hope this helps you!
:)
Which are solutions of the linear equation?
Select all that apply. 3x + y = -10
(-1, -6)
(-2 -4)
(-3,1)
(-4. 3)
(-5. 5)
Answers
Answer:
The answer is (-5,5).
Step-by-step explanation:
y = 10 - 3x
Substitute the options you get 5 for y which makes (-5,5) the answer.
What is the value of x?
to
x = [?]°
o
Answers
Answer:
The value of x from the figure is 58 degrees
To get the value of x, we will use the formula:
The angle at the vertex = 1/2(difference of angles at the arc)
Angle at the vertex = 1/2(160 - x)
51 = 1/2(160 - x)
102 = 160 - x
x = 160 - 102
x = 58 degrees
Hence the value of x from the figure is 58 degrees
QUICK whoever gives correct answer will get brainliest please and thank you.
Answers
Answer:
D
Step-by-step explanation:
A genre is something like historical fiction, fantasy, science fiction, etc. Answer D establishes the story as being a fantasy. The other 3 answers show elements that could be included in any story but don't narrow down the story's genre.
What is the sum of 10 of the interior angles of a regular dodecagon?
Answers
Answer: 1500
Step-by-step explanation:
180° x (12-2) = 180° x 10
= 1800°
(got 12 because a regular dodecagon has 12 congruent sides.)
1800°/ 12 =150
150° x 10= 1500°
Find the area of this parallelogram
Answers
Answer:
101.46
Step-by-step explanation:
Area= Lenght x With
Soo you would do 11.4 x 8.9 and get 101.46cm!
The area of the parallelogram with a height of 7.1 cm will be 80.94 square cm.
What is the area of the parallelogram?Let H be the height and W be the width of the parallelogram. Then the area of the parallelogram will be given as,
Area of the parallelogram = H × W square units
From the graph, the width of the base of the parallelogram is 11.4 cm. And the height of the parallelogram is 7.1 cm.
The area of the parallelogram is given as,
A = 11.4 x 7.1
A = 80.94 square cm
The area of the parallelogram with a height of 7.1 cm will be 80.94 square cm.
More about the area of the parallelogram link is given below.
https://brainly.com/question/16052466
#SPJ2
Indicate if the following would result in a random sample or a biased sample
Use a pattern, such as selecting every fourth person who enters the cafeteria
A. biased
B. random
Answers
Answer:
biased
Step-by-step explanation:
i took the test and I got it right
How come by the 56 pound bag of black beans and 3/4 pound bag of pinto beans how many pounds of beans is Malcolm By in all?
Answers
Answer:
it is 42 pounds of beans that Malcolm has
Express cos I as a fraction in simplest terms
Answers
Jane has 4 more jelly beans than Dan. If Jane has 13 jelly beans, how many jelly beans does Dan have
Answers
Answer:
Dan would have 9 jellybeans.
Step-by-step explanation:
Since Jane has 4 more, all we have to do is subtract 4 from 13 to get the answer, 9.
solve for a: a^2/3 = 25
Answers
Answer:
125
Step-by-step explanation:
a⅔=25
2/3root each you get root 2/3of 25
A bus company is replacing all the old seats in its buses with new ones. The company owns 12 buses and each bus has 21 seats. It costs $93.50 to
purchase each new seat, as well as an additional $31.20 to install each new seat. What is the total cost the company will pay?
Answers
Answer:
54,992.70$
Step-by-step explanation:
93.50 x 21 = 1963.5
31.20 x 21 = 655.2
1963.5 + 655.2 = 2618.7
2618.7 x 12 = 54,992.70$
A right triangle has one leg that is 7 centimeters. The hypotenuse is 25 centimeters. Find the length of the other leg.
Answers
Since this is a right triangle, we can use the Pythagorean Theorem to help us.
[tex](length-of-leg1)^2+(length-of-leg2)^2 = (length-of-hypotenuse)^2\\[/tex]
Known information:
one leg's length: 7 cmhypotenuse's length: 25cmNow let's plug the known information into the equation:
[tex]7^2 + (length-of-leg2)^2=25^2\\(length-of-leg2)^2 = 25^2-7^2\\\\(length-of-leg2)^2 = 576\\\\length-of-leg2=24[/tex]
Thus the length of the other leg is 24cm.
Hope it helps!
Uncle Ron had 10 boxes of red pens and 15 boxes of blue pens. There were 47 red pens in each box. He sold 326 red pens and 471 blue pens. If he had 453 pens left, (a) how many blue pens did Uncle Ron have left? (b) how many blue pens were in each box?
please explain! and show your work! thanks
Answers
10 × 47 = 470
(a) 470 – 326 = 144
453 – 144 = 309
309 The number of blue pens Uncle Ron had left was
309 + 471 = 780
(b)
780 ÷ 15 = 52
Thus , 52 blue pens were in each box.
Step-by-step explanation:
Suppose that 21 inches of wire costs 63 cents.
At the same rate, how much (in cents) will 54 inches of wire cost?
Answers
Answer:
162 cents
Step-by-step explanation:
to find the rate you want take the inches which is 21 and divide by the cost which is 63 and find the rate is 3 which means each inch costs 3 cents and so with that rate you can find the cost of 54 inchest of wire so you take your 54 inches and multiply it by 3 which is the cents per inch and find that 54 inches of wire would cost you 162 cents
The volume of this right circular cylinder is 64π cubic yards. If h, the height of the cylinder, is 4 yards, what is r, the radius of the base?
Answers
Answer:
h = 4 cm
Step-by-step explanation:
The formula for volume of a cylinder is
V = πr²h where V is the volume, r is the radius, and h is the height.
We are given V = 64π, and r = 4, plug those in and solve for h
64π = π(4²)h
64π = 16πh
(64π)/(16π) = (16πh)/(16π) (divide both sides by 16π)
4 = (16π)/(16π)h
4 = h
Here, we are provided a right circular cylinder with :
Volume = 64 π cubic yards Height = 4 yards Radius = ?We know that :
[tex] \quad\hookrightarrow\quad{\pmb{ \mathfrak { Volume = \pi r^2 h }}}[/tex]
Therefore,
[tex] \implies\quad \sf{V = \pi r^2 h }[/tex]
[tex] \implies\quad \sf{64\pi = \pi r^2 \times 4 }[/tex]
[tex] \implies\quad \sf{ \pi r^2 \times 4 = 64\pi}[/tex]
[tex] \implies\quad \sf{r^2 =\dfrac{64\pi}{\pi \times 4} }[/tex]
[tex] \implies\quad \sf{ r^2 =\dfrac{\cancel{64}}{\cancel{4}}\times \cancel{\dfrac{\pi}{\pi}}}[/tex]
[tex] \implies\quad \sf{ r^2 = 16}[/tex]
[tex] \implies\quad \sf{r=\sqrt{16} }[/tex]
[tex] \implies\quad \underline{\underline{\pmb{\sf{r= 4}}} }[/tex]
Question 22 (1 point)
Find the pair of acute angles that corresponds to the solution of the equation sin(3x + 3)° = cos(x + 71).
15°, 85°
a
Oь
15°; 75°
Ос
75°; 105°
O
d
11°, 790
Answers
Answer:
75,15
Step-by-step explanation:
[tex] \sin(90 - x) = \cos(x) [/tex]
[tex] \sin(90 - (3x + 3) = \cos(x + 71) [/tex]
[tex]90 - 3x - 3 = x + 71[/tex]
[tex]87 =4 x + 71[/tex]
[tex]16 = 4x[/tex]
[tex]x = 4[/tex]
Plug in 4 for x and one of the angles we get are 75 and the other would be 15.
which is bigger 0.2,1/2 or 2%
Answers
Answer:
See below.
Step-by-step explanation:
0.2, 1/2, 2%
Convert the other two to decimals to make our lives temporarily easier.
1/2 = 0.5
2% = 0.02
0.2, 0.5, 0.02
The greater term is 0.5, or 1/2.
-hope it helps
Answer:
1/2
Step-by-step explanation:
0.2 = 0.2
1/2 = 0.5
2% = 2/100 = 0.02
From smallest to biggest:
2%, 0.2, 1/2
Answer: The biggest one is 1/2
What is the surface area of the box, in square feet, that Zoey decorates?
Answers
Answer:
should be 1006
Step-by-step explanation:
Which system of equations has no solution? HELP ASAP!!!!!!
Answers
Answer:
its the 4th one is the answer
Jaq ueline has 15 cookies to share with her study group. If there are 4 kids in the group and they want to split the cookies evenly they are even willing to cut a cookie if they need to. how many cookies will each person get?
Answers
Answer:
Each person can get 3 3/4 cookies.
PLEASE HELP ME!!!
Solve in substitution form step by step please
Answers
Answer:
3. (3,-4)
Step-by-step explanation:
Alisha is working
on a project about temperature conversion in her science class. She was given the formula for converting degrees Celsius to degrees
Fahrenheit: F=C+32. For her project, she needs to convert temperature from Fahrenheit, F, to Celsius, C. In which of the following equations is
FC +32 correctly solved for C?
Answers
The number in question is equal to 2 times the temperature in degrees Celsius.
EquationsSince Alisha is working on a project about temperature conversion in her science class, and the formula for converting degrees Celsius to degrees Fahrenheit is F=C+32, to solve FC + 32 the following equation must be performed:
CF + 32 = XF + F + 32 + 32 = X2F + 64 = XF + 32 = 1/2XX = 2CTherefore, the number in question is equal to 2 times the temperature in degrees Celsius.
Learn more about equations in https://brainly.com/question/26678239
Factor completely 8x2 − 4x − 84. 4(2x − 3)(x 7) 4(2x 3)(x − 7) 4(x − 3)(2x 7) 4(x 3)(2x − 7).
Answers
The factor of the given equation [tex]8x^{2} -4x-84[/tex] will be [tex]4(x+3)(2x-7)[/tex]
What will be the factor of the given equation?Given equation is [tex]8x^{2} -4x-84[/tex]
Now taking 2 commons from the equation
[tex]4(2x^{2} -x-21)[/tex]
now splitting the equation we get
[tex]4(2x^{2} +6x-7x-21)[/tex]
[tex]4(2x(x+3)-7(x+3))[/tex]
[tex]4(x+3)(2x-7)[/tex]
Thus the factor of the given equation [tex]8x^{2} -4x-84[/tex] will be
[tex]4(x+3)(2x-7)[/tex]
To know more about Factors of quadratic equation follow
https://brainly.com/question/1214333
Practising
5. Write an equation for the diagram. Solve
your equation. Show your steps.
n
n
n
n
n
Answers
Solve?
6n+4=28
-4
6n=24
Divide by 6
N=4
.....................
Answers
Answer:
88 cm
Step-by-step explanation:
to find the circumference of a circle you can use the equation
d(pi)
d being diameter and pi in this case being 22/7
so you can directly multiply 28 and 22/7
28/1 * 22/7
you can cross cancel 28 and 7 making them 4 and 1 respectively
then you have 4/1 * 22/1
that is also 4 * 22
that is 88