Answer:
The answer to calculate this will be:
5
π
6
The required value of tan(7π/12) = √[(2+√3)/(2-√3)].
To find the exact value of tan(7π/12).
What are trigonometric equations?These are the equation that contains trigonometric operators such as sin, cos.. etc.. In algebraic operation.
[tex]tanx =\sqrt{ \frac{1 -cos2x}{1 + cos2x} }[/tex]
tan(7π/12) = √ [ (1 - cos2(7π/12) ) / (1 + cos2(7π/12) ]
= √ [ (1 - cos(7π/6) ) / (1 + cos(7π/6) ]
= √ [ (1 - cos(π + π/6) ) / (1 + cos(π + π/6) ]
Since cos(π + x) = -cosx
= √ [ (1 + cos(π/6) ) / (1 - cos(π/6) ]
Here, cos( π/6 ) = √3/2
= √ [ (1 + √3/2 ) / (1 - √3/2 ]
= √ [ (2 + √3)/2 / (2- √3)/2 ]
= √ [ (2 + √3) / (2- √3) ]
Thus, the required value of tan (7π/12) = √ [ (2+√3)/(2-√3) ].
Learn more about trigonometry equations here:
https://brainly.com/question/22624805
#SPJ2
Find the square root of 362.1409 by division method
-----------------------
Please help...*puppy eyes*
(Will pick brainliest)
Step-by-step explanation:
Note that the denominators in the expression are perfect squares:
[tex] {x}^{2} - 5xy + 6 {y}^{2} = (x - 2y)(x - 3y)[/tex]
[tex] {x}^{2} - 4xy + 3 {y}^{2} = (x - y)(x - 3y)[/tex]
[tex] {x}^{2} - 3xy + 2 {y}^{2} = (x - y)(x - 2y)[/tex]
We can then write the given expression as
[tex] \frac{1}{ {x}^{2} - 5xy + 6 {y}^{2} } + \frac{a}{{x}^{2} - 4xy + 3{y}^{2} } + \frac{1}{{x}^{2} - 3xy + 2{y}^{2}}[/tex]
[tex] \frac{1}{ {x}^{2} - 5xy + 6 {y}^{2} } + \frac{a}{{x}^{2} - 4xy + 3{y}^{2} } + \frac{1}{{x}^{2} - 3xy + 2{y}^{2}}[/tex]
[tex] = \frac{1}{(x - 2y)(x - 3y)} + \frac{a}{(x - y)(x - 3y)} + \frac{1}{(x - y)(x - 2y)}[/tex]
[tex] = \frac{(x - y)(x - 2y) {(x -3y)}^{2} + a {(x - y)}^{2} (x - 2y)(x - 3y) + (x - y){(x - 2y)}^{2}(x - 3y) }{ {(x - y)}^{2} {(x - 2y)}^{2} {(x - 3y)}^{2} } [/tex]
Jaclyn estimates that the square root of 50 in the following way:
[tex]\sqrt{50[/tex] = [tex]2 \sqrt{25[/tex] = 2 * 5 = 10
Explain why her reasoning is incorrect. Please use complete sentences.
[tex]\sf\purple{The\: square\: root \:of \:50\: is\: 5√2.}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\blue{Step-by-step\:explanation}}{\blue{:}}}}}[/tex]
Error made by Jaclyn ⤵
[tex] \sqrt{50} [/tex]
[tex]\sf\red{=\:2√25}[/tex] ❌
Correct way to solve it ⤵
[tex] \sqrt{50} \\ \\ = \sqrt{5 \times 5 \times 2} \\ \\ = \sqrt{ {5}^{2} \times 2} \\ \\ = \sqrt{ {5}^{2} } \times \sqrt{2} \\ \\ = 5 \sqrt{2} \\ \\ (∵ \sqrt{ {a}^{2} } = a)[/tex]
[tex]\bold{ \green{ \star{ \orange{Mystique35}}}}⋆[/tex]
A bakery offers a sale price of $2.75 for 3 muffins. What is the price per dozen
Answer:
4 muffins is $2.75
4*3=12
1 dozen is 12
2.75 * 3 =$ 8.25
Step-by-step explanation:
If g(x) = √x and h(x) = x^3 - 1, what is g(h(4))
Answer:
Here, given
g(x) = √x
h(x) = x³-1
For gh(4) , we have to find gh(x), so,
gh(x) = g(x³-1)
=√x³-1 [Note⇒root is both for x³ and 1]
Now,
gh(4) = √4³-1
= 3√7 or 7.9
Hope it helps!
Solve for y.
-24 = -8y
Simply your answer as much as possible.
Answer:
Y=3
Step-by-step explanation:
-8 times 3 equals -24
Answer:
y = -3
Step-by-step explanation:
-24 = 8y
Divide both side by 8
-24/8 = 8y/8
-24/8 = y
divide -24 by 8 to get -3
-3 = y
rewrite ..( optional )
y = -3
Find the length of side XZ in the right triangle shown, Y 37 meters 12 meters ? meters X Z z Tags
Answer: 35 meters got it right on TTM
Which?
A
B
C
D
Help me for 20 points!!!
Answer:
8/5
Step-by-step explanation:
7 3/10-5 7/10=8/5
Anyone can help :(((:)
Answer:
Below
Step-by-step explanation:
The area of a circle is given by A=πr². Since we know the radius, we can sub r with 11.
This gives A=11²π, which by solving the square gives A=121π.
From there, you would solve with a calculator by typing 121×π, giving a final area of 380.132711084.
**This content involves using the circle area formula, which you may wish to revise. I'm always happy to help!
Can someone help me with this question please
A boat heading out to sea starts out at Point AA, at a horizontal distance of 804 feet from a lighthouse/the shore. From that point, the boat’s crew measures the angle of elevation to the lighthouse’s beacon-light from that point to be 12^{\circ} ∘ . At some later time, the crew measures the angle of elevation from point BB to be 2^{\circ} ∘ . Find the distance from point AA to point BB. Round your answer to the nearest foot if necessary.
Answer:
672 feets
Step-by-step explanation:
Using the solution diagram attached, the vertical height, h of the lighthouse ;
Using trigonometry :
Tanθ = opposite / Adjacent
Tan 2 = h / 804
h = tan 2 * 804
h = 28.076 feets
Using h, we can obtain the distance CB :
Tan θ = opposite / Adjacent
Tan 2 = 28.076 / CB
CB = 28.076 / Tan 12°
CB = 132.08860 feets
Distance between A and B
804 - 132.08860
= 671.9 feets
Which of the quotients are equivalent to -(48/17)
Answer:
oiie4546
Step-by-step explanation:
can you solve this? explian your reasoning. 2 6 3 9 6 18 15. What number comes next?
Answer:
The number of the sequence are 2, 3, 6, 15
The difference between 2 and 3 is 1 i.e. 30.
The difference between 3 and 6 is 3 i.e. 31.
The difference between 6 and 15 is 9 i.e. 32.
Let the next number in the given sequence be some natural number x.
Now, following the pattern, the difference between 15 and x has to be equal to 33=27.
i.e.
x−15=27⟹x=27+15=42
Hence
The next number in the sequence is 42.
In the summer term sal wlks to school starting soon after 7 am when the hour hand is at angle of 110 degrees to the minute hand. She arrives at school before 8 am when
Answer:
She walked for 46 minutes
Step-by-step explanation:
Given
When she leaves home
[tex]h = 7am[/tex]
[tex]\theta_1 = 110^o[/tex]
When she arrives at school
[tex]H = 8am[/tex]
[tex]\theta_2 = 110^o[/tex]
Required
Time to walk to school
First, we convert [tex]\theta_1 = 110^o[/tex] to minutes:
[tex]\theta_1 = \frac{110}{6}[/tex]
[tex]\theta_1 = 18.33[/tex]
[tex]\theta_1 = 18[/tex] --- approximated
From the question, we understand that she left home past 7.
This means that the difference between the hour hand (at 7) and the minutes hand is 18 minutes.
Also, the minute hand is between 0 and 30 minutes
Subtract 18 minutes from 30 minutes;
[tex]Mins = 30-18=12[/tex]
She left home at 7:12am
Similarly;
[tex]\theta_2 = \theta_1 = 18\ mins[/tex]
From the question, we understand that she arrived before 8.
This means that the difference between the hour hand (at 8) and the minutes hand is 18 minutes
Also, the minute hand is between 30 and 60 minutes mark.
At the 8hour hand, the minutes is 40
Add 18 minutes from 40 minutes;
[tex]Mins = 40 + 18 = 58[/tex]
She arrived at 7:58am
The difference (d) is:
[tex]d =7:58am - 7:12am[/tex]
[tex]d =46[/tex]
PLS HELP In the diagram below, ΔPQR ≅ ΔSTR. Complete the statement ∠P ≅ ___
A. ∠S
B. ∠PRQ
C. ∠T
D. ∠PQR
How do you find the equations of the vertical and horizontal asymptotes for a graph when you only have the graph and no function?
Answer:
See below for answer and explanations (as well as an attached graph)
Step-by-step explanation:
Pay attention to the behavior of the asymptotes. If the asymptotes are approaching a certain x-value or y-value, then that value is undefined for the function.
Take for example [tex]y=\frac{1}{x}[/tex]:
As x approaches ∞ and -∞, then y approaches 0, which is our horizontal asymptoteAs y approaches ∞ and -∞, then x approaches 0, which is our vertical asymptoteSee the graph for a visual.
A farmer stores chicken feed in cartons. Together, 3 cartons hold 9 cubic feet of space in all. How many cartons does the farmer need to store a total volume of 72 cubic feet of chicken feed?
Answer:
45
Step-by-step explanation:
because 3 x 9 is 27 and then your gonnna want to subtract 72 and 27 and that really how i got 45 by multiplication and subtraction sorry if it wrong
please help guys its urgent
Answer:
option B : Upen
Step-by-step explanation:
To find who saves the greatest. Find who spent the least.
That is find the smallest of these fractions.
To find the smallest among the fraction:
Step 1 : make the denominators the same.
Step 2 : to make denominators same find LCM of 8, 4, 3, 6
Step 3: LCM = 24
[tex]\frac{7}{8}\ , \frac{3}{4} \ , \frac{2}{3} \ , \frac{5}{6}[/tex]
[tex]\frac{7 \times 3}{8 \times 3}, \ \frac{3 \times 6}{4 \times 6} , \ \frac{2 \times 8 }{ 3 \times 8} ,\ \frac{5 \times 4}{6 \times 4}\\\\\frac{21}{24}, \ \frac{18}{24}, \ \frac{16}{24}, \ \frac{20}{24}\\\\Arranging\ the \ fractions \ in \ ascending \ order \ to \ find \ the \ least \ spent .\\\\\\frac{16}{24} , \ \frac{18}{24} , \ \frac{20}{24}, \frac{21}{24}[/tex]
So 2/3 is the smallest fraction, which means 2/3 spent the least amount from the salary.
Therefore, Upen saves the greatest amount every month.
A line of best fit....?
a) must pass through the median of the data
b) must pass through the origin
c) represents the trend of the data
d) must have a positive slope
What is the smallest perimeter a rectangle of area 12 cm can have?
A.12 cm
B.14 cm
C.16 em
D.26 cm
Answer:
14 cm
Step-by-step explanation:
The maximum area of a rectangle (actually square) with a perimeter of 14 can have is 12.25 cm². So the smallest perimeter a rectangle of 12 cm² i just a little below 14 cm, namely 4sqrt(12) = 13.86 cm.
Does this graph represent a function? Why or why not?
Answer:
B yes
Step-by-step explanation:
As long as a verticle line intercepts the graph at no more than one point it is a function
Answer:
B. Yes, because it passes the vertical line test
Step-by-step explanation:
no x values are repeated
The histogram below shows the grade ranges for Mrs. Granderson's class.
Student Scores on Test 4
10
8
6
Prequency
60-69
70 - 79
80 - 89
90 - 100
How many students earned an 80 or better on Test 4?
There were
students who earned an 80 or better on the test.
Answer:
The answer is 14.
Step-by-step explanation:
All you had to do was add all the amount of students that scored 80 to 100 and you would have got your answer.
consider the equation of the line y=-2x+4 what is the value of y when x=2
Answer: The value of y is 8
Step-by-step explanation:
Since we know x=2 we can sub in 2 for x in the equation
y=2(2)+4
y=4+4
y=8
According to the table below, which of these is a possible taxable income for
a taxpayer filing with the Single filing status in the 25% federal income tax
bracket?
Single
Taxable
But not
income is
Bracket
over
over
$0
8.350
10%
8.650
33.950
15%
33,950
82 250
25%
82,250
171,550
28%
171,550
372,950
33%
372,950
35%
Based on the table, a possible taxable income for a taxpayer filing with the Single filing status is $50,000.
What is taxation?Taxation can be defined as the involuntary (compulsory) fees that are levied on individuals or business firms by the government of a particular country, so as to generate revenues that can be used to fund public institutions and activities.
Based on the table, the range of income for a married couple that is filing singly in the 25% federal income tax bracket is $33,950 to $82,250.
This ultimately implies that, a possible taxable income for a taxpayer filing with the Single filing status is $50,000.
Read more on tax here: https://brainly.com/question/25783927
Answer:
$137,050
Step-by-step explanation:
That is the correct answer on the test.
Pls help quicky! I will also give a brainliest!!!!!
Answer:
A) 7.12
Step-by-step explanation:
Simply, subtract 10.52 by 3.4 to get your answer or plug in each answer until you get 10.52
Hope this helps, good luck! :)
SIMPLIFY USING THE DISTRIBUTIVE PROPERTY OF RATIONAL NUMBERS
1/5+ (2/5+3/5)
Answer:
6/5
Step-by-step explanation:
1/5 + (2/5 + 3/5)
solve for the bracket first
1/5 +(2+3/5)
1/5 + (5/5)
1/5 + 1
1+1*5/5
6/5
another method
1/5 + (2/5 +3/5)
open brackets)
1/5 + 2/5 + 3/5
since their denominator are same u can add their numerator
1+2+3/5
6/5
keenan got 13/25 for his mathematics test write down two equivalent fractions for this mark
Solve using suitable property and name the property applied. 3/5 x 35/24 + 15/6 x 3/5
Find the distance between the two points, and explain if you want to.
Step-by-step explanation:
the answer is in the above image
The scale factor of the enlarged image of a bug is 1:0.125. The diagram measures 16mm, what is the actual length
Answer:
it is 2mm long
Step-by-step explanation:
16x0.125=2 so it is 2mm long