Answers
Answer:
[tex]\theta = \frac{\pi}{6}[/tex]
Step-by-step explanation:
[tex]tan^ 2 \theta - ( \sqrt 3 + \frac{1}{\sqrt3}}) tan \theta + 1 = 0\\\\tan \theta - ( \sqrt 3 + \frac{1}{\sqrt3}}) +\frac{1}{ tan \theta } = 0\\\\[/tex] [tex][ \ divide \ by \ tan \theta \ on \ both \ sides \ ][/tex]
[tex]tan\theta + \frac{1}{ tan \theta }- ( \sqrt 3 + \frac{1}{\sqrt3}}) = 0\\\\\frac{tan^2 \theta + 1}{ tan \theta } - ( \sqrt 3 + \frac{1}{\sqrt3}}) = 0\\\\\frac{sec ^2 \theta}{ \frac{sin \theta }{cos \theta}} - ( \sqrt 3 + \frac{1}{\sqrt3}}) = 0[/tex] [tex][ \tan ^ 2\theta + 1 = sec ^2 \theta \ , \ tan \theta = \frac{sin \theta }{cos \theta } \ ][/tex]
[tex]\frac{sec^2 \theta }{sin \theta \times sec \theta } - ( \sqrt 3 + \frac{1}{\sqrt3}}) = 0\\\\[/tex] [tex][\ \frac{sin \theta }{cos \theta } = sin \theta \times sec \theta \ ][/tex]
[tex]\frac{sec \theta }{sin \theta } - ( \sqrt 3 + \frac{1}{\sqrt3}}) = 0\\\\[/tex]
[tex]sec \theta \ cosec \theta - ( \sqrt 3 + \frac{1}{\sqrt3}}) = 0\\\\[/tex] [tex][ \ \frac{1}{sin \theta } = cosec \theta \ , \ \frac{ sec \theta }{sin \theta } = sec \theta cosec \theta \ ][/tex]
[tex]sec \theta \ cosec \theta - \sqrt 3 - \frac{1}{\sqrt3}} = 0\\\\\frac{\sqrt 3\ sec \theta \ cosec \theta - 3 - 1}{\sqrt3} = 0\\\\\sqrt 3 sec \theta cosec \theta - 4 = 0\\\\[/tex]
[tex]\sqrt3 \frac{1}{cos \theta } \frac{1}{sin \theta } - 4 = 0\\\\\frac{\sqrt3 - 4sin \theta cos \theta} { sin \theta cos \theta } = 0[/tex]
[tex]\sqrt 3 - 2sin 2\theta = 0[/tex] [tex][ \ sin 2 \theta = 2 sin \theta cos \theta \ ][/tex]
[tex]2sin 2 \theta = \sqrt3\\\\sin 2 \theta = \frac{\sqrt3 }{2} \\\\2 \theta = sin^{-1} (\frac{\sqrt3}{2})\\\\2 \theta = 60^{ \circ} = \frac{ \pi}{3}\\\\\theta = \frac{\pi} {6}[/tex]
Related Questions
Someone help fast please
Answers
Answer:
C
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
The sequence of payment is geometric , that is
1, 3, 9, ...
The sum to n terms of a geometric sequence is
[tex]S_{n}[/tex] = [tex]\frac{a(r^{n}-1) }{r-1}[/tex]
where a is the first term and r the common ratio
Here a = 1 and r = 3 ÷ 1 = 3 , then
[tex]S_{15}[/tex] = [tex]\frac{1(3^{15}-1) }{3-1}[/tex] = [tex]\frac{14348907-1}{2}[/tex] = [tex]\frac{14348906}{2}[/tex] = 7174453 cents and
7174453 ÷ 100 = $71,744.53 → A
Lauren uses a calculator to find Three-fourths divided by StartFraction 3 plus 9 over 36 EndFraction and gets a result of Nine-fourths. Which statement best describes her work?
Answers
Answer:
11/20
Step-by-step explanation:
which of the following is a geometric sequence?
Answers
Answer:
D
Step-by-step explanation:
notice how everything goes up by 3? that's a sequence.
Direction: Fill the missing terms. Write your answer on the space provided.1. .An _______ is a data collection method where you as a researcher change somevariables and observe their effect on other variables.2. A __________ is a data collection method where you select a sample of respondentsfrom a large population in order to gather information about that population.3. __________, when you use this method, you meet with the respondents face to faceand ask questions.4. In an __________ method, the data from the field is gathered with the help ofobservation by the observer.5. ___________ is sent ( by post or by mail) to the persons concerned with a requestto answer the questions and return the questionnaire.6. ___________.It is a process by which the researcher collects/gathers theinformation needed to answer the research problem.7. __________ It is very similar to the questionnaire method. The main differenceis that the schedule is filed by the enumerator who is specifically appointed for thepurpose.8. __________ One who goes to the respondents, asks them the questions from thequestionnaire in the order listed, and records the responses in the space provided.9. __________are those which have already been gathered by someone else andwhich have through some statistical analysis.10. . ___________ are those which are gathered for the first time and are original incharacter.
Answers
Answer:
An experiment is a data collection method where you as a researcher change somevariables and observe their effect on other variables.A surveys is a data collection method where you select a sample of respondentsfrom a large population in order to gather information about that population.☞☜ ☞☜ ☞☜ Data collection It is a process by which the researcher collects/gathers theinformation needed to answer the research problem.☞☜ ☞☜ Secondary data are those which have already been gathered by someone else andwhich have through some statistical analysis.Primary data are those which are gathered for the first time and are original incharacter.Step-by-step explanation:
lm.ao I don't know 3,4,5,7,8 I'm sincerely apologise for this!!
•| jess bregoli |•#keep learning!!
Answer:
Here is your Answer : )
Step-by-step explanation:
1. experiment
2. survey
3. Interview
4. observation
5. questionnaire
6. Data collection
7. Schedule
8. Manager
9. primary data
10. Primary data
Plz mark as brainiest this took long time
Hope U like it : )
Make 'r' the subject of this formula: 3r - 5 = p
Answers
Answer:
hey I am not about what the question says but I think this is the answer:
3r=p+5
so the subject is 3r
3r = p + 5
r = p + 5/3
can someone help me I don't understand
Answers
Answer:
(a) 165 m/min
(b) 107.14m/min
Step-by-step explanation:
The slope of the distance time graph gives speed.
Here, the speed of the segment A is
[tex]v_A= \frac{900-0}{4-0}=225 m/min[/tex]
The speed of segment B is
[tex]v_B= \frac{1500- 900}{14-4}= 60 m/min[/tex]
(a) The change in speed is
= 225 - 60 = 165 m/min
(b) The average speed is defined as the ratio of total distance to the total time.
So, the average speed is
[tex]= \frac{1500}{14}= 107.14 m/min[/tex]
Financial software can do all of the following except ____.
A.
prepare your taxes
B.
apply for loans
C.
keep track of expenses
D.
monitor your savings
Answers
Answer: Apply for loans
Step-by-step explanation:
I just took the quiz off gradpoint :) trust me its right!!!!
Parallelogram ABCD is adjacent to rhombus DEFG, as shown below, and FC intersects AD at H.
B
D
H
E
If m Z B=118 and m2 AHC=138, determine and state m GFH.
Answers
Answer:16,284
Step-by-step explanation:
Which of the following are necessary
Answers
Step-by-step explanation:
B) opposite sides are congruent !!!!!!
I will pay for the answer.
Answers
Answer:
D
8x^2-12x+5
thanx for youer sug
Answer:
[tex]8x^2-12x+5[/tex]
Step-by-step explanation:
This is the same as saying h(g(x)). All you do is take the g(x) equation and plug that in for x in the h(x) equation.
h(x) = 4x+1 Plug in g(x) equation for x
h(g(x)) = [tex]4(2x^2-3x+1)+1[/tex] Distribute the 4 and simplify
h(g(x)) = [tex]8x^2-12x+5[/tex]
D and E are points on sides AB and AC respectively of triangle ABC such that DE || BC. If AD = x-1, DB = x – 3, AE = x + 3 and EC = x , the value of x is:
Answers
9514 1404 393
Answer:
9
Step-by-step explanation:
The triangles are similar, so corresponding sides are proportional.
AE/AD = EC/DB
(x+3)/(x -1) = x/(x -3)
x^2 -9 = x^2 -x . . . . . . . cross multiply
x = 9 . . . . . . . . . . . add x+9-x^2 to both sides
2 consecutive postive nos are such that the sum of their squares is 113. Find the 2 numbers
Answers
Answer:
7,8
Step-by-step explanation:
n^2+(n+1)^2=113; this is the information we are provided in the question.
n^2+n^2+2n+1=113 ; just expanding the numbers
2n^2+2n-112=0 ; moving everything to the same side
n^2+n - 56= 0 ; divide everything by two
(n-7)(n+8)=0 : factor the polynomial
so answers for n are: 7 and -8. since the questions asks for positive numbers -8 cannot be correct.
so n=7
n+1 = 8
Carl starts to use the standard algorithm to solve 2,375 × 6. His work is shown below.
What number should Carl replace y with?
Answers
y=2
Use Venn diagrams notation to describe the shading of
A
B
Answers
Answer:
A ∩ B
Step-by-step explanation:
The shaded part is in common between the two diagrams
We can write this part in this way :
A ∩ B
How many eighths does it take to equal 1/4 model
Answers
Answer:
2 eighths.
Step-by-step explanation:
Answer:
2 eighths
Step-by-step explanation:
1/8 + 1/8 = 2/8 or 1/4
Find y.
Round to the nearest tenth:
31°
у
х
400 ft
y = [ ? ]ft
Answers
What is the equation of the line that is perpendicular to the given line and passes through the point (5, 3)?
A.) 4x - 5y = 5
B.) 5x + 4y = 37
C.) 4x + 5y = 5
D.) 5x - 4y = 8
Answers
Answer: A , 4x - 5y = 5
Step-by-step explanation:
i just did it , duhhh
Answer:
a
Step-by-step explanation:
Simplify (12^0)(12^6). Write your answer using an exponent. Explain how you found your answer.
Answers
Step-by-step explanation:
(12^0)(12^6)
1 ×12⁶. (a⁰=1, a is a number)
=12⁶
(05.02)
Solve the following system of equations: (1 point)
x − 2y = 14
x + 3y = 9
Group of answer choices
(1, 12)
(−1, −12)
(12, −1)
(12, 1)
Answers
Find the length of the diagonal for a square that is 6 cm. by 6 cm. Leave answer in simple radical form, if necessary.
please hurry I beg
Answers
Answer:
[tex]6\sqrt{2}[/tex]
Step-by-step explanation:
let the diagonal be d
using the pythagoras theorem,
[tex]6^{2} + 6^{2} = d^{2}[/tex]
[tex]d=\sqrt{72}[/tex]
which in radical form is
[tex]6\sqrt{2}[/tex]
A purse regularly priced at $70 is on sale for 20% off. What is the scale price of the purse?
Answers
The weight of three articles is 856 kg. If two of the articles weigh 502kg, what is 1/2 the weight of the third article?
Answers
Answer:
177 kg
Step-by-step explanation:
Find the weight of the third article by finding the difference between 502 and 856, since 856 kg is the total weight and 502 kg is the weight of the other 2 articles:
856 - 502
= 354
Now, find 1/2 of the weight, by dividing this by 2:
354/2
= 177
So, 1/2 the weight of the third article is 177 kg
The measures of the angles of a triangle are shown in the figure below. Solve for x.
Answers
Answer:
x=57°
Step-by-step explanation:
the sum of the measures of the angles of a triangle add up to 180°.
it is given that there is a 33°, and a right angle which is 90°.
to find x:
x=180°-(90°+33°)
x=180°-123°
x=57°
Answer:
180° - 33° - 90° = 57°
x = 57°
Solve 2 ≤ 2x + 4 < 10 for x.
–1 ≤ x < 3
1 < x < 3
–1 < x < 3
1 ≤ x < 3
Answers
Answer:
-1 ≤ x < 3
Step-by-step explanation:
2 ≤ 2x + 4 < 10
Subtract 4 from all sides
2-4 ≤ 2x + 4-4 < 10-4
-2 ≤ 2x < 6
Divide all sides by 2
-2/2 ≤ 2x/2 < 6/2
-1 ≤ x < 3
Please help I’ll give brainliest
Answers
Answer:
The rules for standard form are
Small numbers can also be written in standard form. However, instead of the index being positive (in the above example, the index was 3), it will be negative. The rules when writing a number in standard form is that first you write down a number between 1 and 10, then you write × 10(to the power of a number)
I hope this helps
Answer:
False
Step-by-step explanation:
Please Mark me brainliest
Find mZSGH if mZFGH = 108°
Answers
Answer:
22
Step-by-step explanation:
FGH - FGS = SGH
108 - 86 = 22
Answer:
∠ SGH = 22°
Step-by-step explanation:
∠ FGS + ∠ SGH = ∠ FGH , that is
86° + ∠ SGH = 108° ( subtract 86° from both sides )
∠ SGH = 22°
a telephone pole is 24 feet tall
Answers
Answer:i honestly dont know just trying to get points
Step-by-step explanation:
If b=3-2s and A= -2s^2+2s+3 find an expression that equals 2b+2A in standard form
Answers
I think this might be the answer you’re looking for so best of wishes and good luck!!
A food sample contains 300 bacteria. The doubling time for bacteria left at room temperature is 20 minutes. How many minutes will it take to reach an unsafe level of 100000 bacteria?
Answers
Answer:
167.6 minutes
Step-by-step explanation:
The formula is given as:
P(t) = Po × (2)^t/k
Where
P(t) = Population after time t = 100000
Po = Initial population = 300
k = Doubling time = 20 minutes
t = Time = ?
Hence:
100000 = 300 × (2)^t/20
Divide both sides by 300
100000/300 = (300 × (2)^t/20)/300
333.3 = 2^t/20
Take the In of both sides
In 333.3 = In (2^t/20)
In 333.3 = t/20 In 2
Divide both sides by In 2
In 333.3/In 2 =( t/20 In 2)/In 2
8.3806775072 = t/20
Cross Multiply
t = 8.3806775072 × 20
t = 167.61355014 minutes
Approximately = 167.6 minutes
Therefore, the time it will take to reach an unsafe level of 100000 bacteria is 167.6 minutes
For the function Rx) = 1/x+1 which of these could be a value of F(x) when x is
close to -1
O A. -0.01
OB. 0.01
O c. 1
O D. -10,000
Answers
Answer:
D. -10000
Step-by-step explanation:
you really need to copy or type the question better.
I can only assume what you really mean.
I guess, you want to say that F(x) = 1/(x+1)
when the value for x gets close to -1, the whole expression gets close to 1/0, which would bring numbers with larger and larger absolute values, leading to infinity.
you also did not say from what direction we are getting closer to -1.
we could come from -2 and move closer and closer to -1.
in this case (x+1) would always be smaller than 0 (negative sign).
or we could come from +1 and then 0 and move towards -1, in which case (x+1) would airways be bigger than 0 (positive sign).
anyway, when being closer and closer to -1, the absolute value of the resulting functional values will get bigger and bigger.
the only answer option with a larger absolute value is D (-10000).
so, that had to be the solution, and it also means that we are coming from -2 to -1, and the sign is negative.
