Answers
Answer: D
Step-by-step explanation:
The solution is, the required value is cot(π/3) = √3/3
What are trigonometric relations?Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles
here, we have,
The six trigonometric functions are sin , cos , tan , cosec , sec and cot
Let the angle be θ , such that
sin θ = opposite / hypotenuse
cos θ = adjacent / hypotenuse
tan θ = opposite / adjacent
here, we have,
we know that,
note :
cot a = cosa /sina
here,
so : cot(π/3) = cos(π/3)/sin(π/3)
but : cos(π/3) = 1/2
and sin(π/3) = √3 /2
now, we get,
cot(π/3) = (1/2) / (√3 /2)
= (1/2)×(2/√3 )
= 1/√3
= (1×√3)/( √3 ×√3)
= √3/3
Hence, The solution is, the required value is cot(π/3) = √3/3
To learn more about trigonometric relations click :
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Related Questions
Ten times the number of balloons is 120
Answers
Answer:
12 balloons
Step-by-step explanation:
120 divided by 10 = 12
:)
What is 82+(12 3+4)-10
Answers
Answer:
82 + (12 + 3 + 4) -10 = 91
82 + (12 times 3 + 4) -10 = 156
82 + (12 divided by 3 + 4) -10 = 73.71
82 + (12 - (3+4)) -10 = 77
I wasn't sure what the space between the 12 and the 3 + 4 meant so I put the answers to what it could have possibly meant.
A music store marks up the instruments it sells by 30%.
1. If the store brought a guitar for $45, what will be the amount of the mark up?
Answers
Answer: They will mark it up 13.5$ to 58.5$
Step-by-step explanation:
45 x .3 = 13.5
45 + 13.5 = 58.5
Answer:
The mark up will be 13.5
Step-by-step explanation:
The area of a circle is 3.14 square meters, What is the circle's diameter?
Answers
Answer:
506.128
Step-by-step explanation:
Y=-3x^2-18x-28 solve In vertex form show work
Answers
please help !!!
Will this parabola open upward or downward? How can you tell the direction that it opens from looking at the graph?
y = -5x² + 3x - 4
Answers
I know the parabola will open downward because the leading coefficient of the equation, being -5, is negative/less than zero.
Find x.
please help with this question
Answers
Answer:
11.875
Step-by-step explanation:
Elaine worked 48 hours last week. Her hourly rate is $9.20. What was her GROSS PAY?
Answers
I hope this helps!
enjoy a meme as well, best of luck to you!
Answer:
48 × 9.20 = 441.60
Step-by-step explanation:
gross wages can be calculated by multiplying the number of hours worked by the employee's hourly wage.
Anna said that the product of 78⋅112=7278·112=72.
How can you tell that her answer is wrong?
Answers
Answer:
The easiest way I can think of to show someone who is not very mathematically inclined that the calculation is wrong (other than using a scientific calculator) is this:
Explain that one half contains four eighths - you can visualize this very simply with a pie chart.
Then tell Anna that mathematically speaking this translates to the equation:
1/2 = 4 * 1/8
Now, if ONE half is equal to four times ONE eighths, then SEVEN halves is equal to four times SEVEN eighths - basically, you just multiply both sides by 7:
7/2 = 4 * 7/8
Now, compare this to the equation proposed by Anna:
7/2 = 1½ * 7/8
I guess, at this point it will be easy to convince Anna that 1½ is not 4, and therefore her equation is faulty.
-----
Alternatively, if she's sound with fractions you could also tell her that to get from 7/8 to 7/2 you will need a factor which only affects the denominator as the numerator stay the same. The factor that turns 8 into 2 is 1/4 but since this takes place in the denominator we need the reciprocal to turn 1/8 into 1/2 - and the reciprocal of 1/4 is of course 4. At which point we've arrived at the same place of argumentation as before (which is that 4 ≠ 1½).
Step-by-step explanation:
hope this helps :)
a television regularly cost $180 but is on sale for 40% off there is a 5% sales tax on the sales price how much does the television cost after the discount and sales tax
Answers
Answer:
$102.60
Step-by-step explanation:
i am pretty sure this is correct
50a+80
GIVING BRAINLEST
Answers
Answer:
180
Step-by-step explanation:
how many solutions d+6+2d=4d+9
Answers
Tennis balls: Must rebound approximately 111 cm when dropped from 200 cm. Soccer balls: Must rebound approximately 120 cm when dropped from 200 cm onto a steel plate. Basketballs: Must rebound approximately 53 .5 inches when dropped from 72 inches onto a wooden floor. Squash balls: Must rebound approximately 29 .5 inches when dropped from 100 inches onto a steel plate at 70∘ Which ball listed above is the bounciest
Answers
Answer:
There is no basis for comparison because the effect of the other variables that are not being studied are not minimized
Step-by-step explanation:
The rate at which each type of ball bounce are;
Tennis balls;
The height to which the ball is must rebounds ≈ 111 cm
The height from which the ball is dropped = 200 cm
Surface = Steel plate
Basketballs;
The height to which the ball must rebounds ≈ 5.35 inches
The height from which the ball is dropped = 72 inches
Surface = Wooden floor
Squash balls
The height to which the ball must rebounds ≈ 29.5 inches
The height from which the ball is dropped = 100 inches
Steel plate at 70°
Therefore, given that the experimental are performed with different variables of height from which each type of ball is dropped, the surface to which the ball is dropped, the angle of the surface to which the ball is dropped, there is no controlled variable to provide a basis for comparison
help plz solve for sides on 30-60-90 triangles 50 POINTS
Answers
Answer:
liiiaaaarrrrrr
Step-by-step explanation:
f is a trigonometric function of the form f(c) = a cos(bm + c) + d.
Below is the graph of f(2). The function has a maximum point at (T1,9) and a minimum point at
Зп
Find a formula for f(2). Give an exact expression.
Answers
Find the value of x in each triangle with the given angle measures.
Answers
Answer:
15°
Step-by-step explanation:
Total degrees of a triangle is 180°
Angle 1: ?
Angle 2: 81°
Angle 3: 84°
180°- 81°- 84° = 15°
what is the third step in scientific investigation ?
Answers
Answer:
Cleaning
Step-by-step explanation:
Round to the nearest ten to estimate the difference of 789 – 371. Enter your answer in the box.
Answers
Answer:
420
Step-by-step explanation:
789 would round to 790 and 371 would round to 370 so 790 - 370 is 420
Please help. I will give brainliest to correct answer :)
Answers
let's one two and three have the following relationships <1and <2 are adjacent right angles <1 and <3 are vertical angles what is the measurement of <1 plus the measure of <3 minus the measure of two
Answers
Answer:
180 Vertical angles are opposite angles that share only a vertex. Since ∠3 is adjacent to both ∠1 and ∠2, this means that ∠3 shares a side and vertex with both of these angles.
This means that ∠3 and ∠1 form a straight line; this makes them a linear pair, which makes their sum 180°.
can you guys help please?
Answers
Answer:
25%
Step-by-step explanation:
There are 3 shaded and there are 12 in all, 3 is 25% of 12
Please Show your work.
Answers
Answer:
Equation: y = 2.5x
Answer: 43.75 drawers
Step-by-step explanation:
Equation: 10 - 7.5 = 2.5 and when you subtract 2.5 until the Number of Drawers (x) is 0, then you get 0 for Total Volume (y), so y =2.5x+0 or y = 2.5x
Answer: Substitute 17.5 into x.
y = 2.5(17.5)
y = 43.75 drawers
?????????????????????
Answers
Answer:
Y= 10
angle D= 76
angle C=40
angle E=64
Step-by-step explanation:
Two angles are vertical angles. One measures 39 degrees. What is the measure of the other angle? *
Answers
PLEASE HELP!!
asap, thank you if you do.
you do not have to do all of them, please show work btw.
Answers
Answer:
5. 36 square inches
2. Answer is B.
3. 189 cm^2
Step-by-step explanation:
5. 6 + 6 + 6 + 8 + 10 = 36
3. 51 + 102 + 36 = 189
Can someone please help me understand how to do this???
Answers
Answer:
is it 83.3
Step-by-step explanation:
Which career would be a good fit for Navin?
Answers
Answers
histotechnologist career would be a good fit for navin
Answer:
C. Histotechnologist.
Definitely correct. Just took the Edge Unit Test
Step-by-step explanation:
Find the probability of having 2,3, or 4
successes in five trials of a binomial
experiment in which the probability of
success is 40%.
Round to the nearest tenth of a
percent.
[ ?
Answers
Answer:
65.28%
Step-by-step explanation:
The computation of the probability is shown below:
Given that
P(2,3, OR 4)
based on the above information
= 5C_2(0.4)^2 × (0.6)^3 + 5C_3(0.4)^3 × (0.6)^3 + 5C_4(0.4)^4 × (0.6)^1
= .3465 + .2304 + .0768
= .6528
= 65.28%
A jar contains 3 blue marbles and 6 red marbles. Suppose you choose a marble at
random and do not replace it. Then you choose a second marble. Find the probability of
both of the marbles you select are red.
Select the correct answer
A: 1/18
B: 5/12
C: 1/3
Answers
Theoretical probability
P(rolling a 2)
P(rolling a 5)
Answers
Answer:
yes indeed..... (wdm? u never finished the question)
Step-by-step explanation:
Answer:
The theocratical probability of rolling a two is 2/6 or 1/3. The theocratical probability of rolling a five is 5/6.
Step-by-step explanation: