Answers
Answer:
[tex]tan\:\left(\frac{5\pi }{6}\right)=tan\left(-\frac{\pi }{6}\right)[/tex]
Option A is correct.
Step-by-step explanation:
We need to find equivalent of [tex]tan\:\left(\frac{5\pi }{6}\right)[/tex]
First we solve [tex]tan\:\left(\frac{5\pi }{6}\right)[/tex]
We get [tex]-\frac{1}{\sqrt{3} }[/tex]
Now checking all the options.
Option A: [tex]tan\:(-\frac{\pi}{6} )[/tex]
Solving [tex]tan\left(-\frac{\pi }{6}\right)\: we\: get\: \mathbf{ -\frac{1}{\sqrt{3} }}[/tex]
Option B: [tex]tan\left(\frac{7\pi }{6}\right)[/tex]
Solving [tex]tan\left(\frac{7\pi }{6}\right)\: we\: get\: \mathbf{\frac{1}{\sqrt{3} }}[/tex]
Option C: [tex]cot\left(\frac{5\pi }{6}\right)[/tex]
Solving [tex]cot\left(\frac{5\pi }{6}\right)\:we\:get\:\mathbf{-\sqrt{3} }[/tex]
Option D : [tex]tan\left(-\frac{5\pi }{6}\right)[/tex]
Solving [tex]tan\left(-\frac{5\pi }{6}\right) \:we\:get:\mathbf{\frac{1}{\sqrt{3} } }[/tex]
So, looking at the options, only Option A has the same result as given question
So, [tex]tan\:\left(\frac{5\pi }{6}\right)=tan\left(-\frac{\pi }{6}\right)[/tex]
Option A is correct.
Related Questions
EMERGENCY!!!!
I have fallen and can't get up.
Answers
Answer:
do you need a bandaid?
Step-by-step explanation:
Step-by-step explanation:
Wth?
Are u okay??
call 911
Please any help with steps
Answers
Answer:
C
Step-by-step explanation:
1 inch=400 miles
x =200 miles
200 is half of 400, so the measurement should be halved as well.
Angle Relationships
Answers
Answer:
In Geometry, there are five fundamental angle pair relationships:
Complementary Angles.
Supplementary Angles.
Adjacent Angles.
Linear Pair.
Vertical Angles.
The measure of the angle u and angle t will be 29 degrees.
What is an angle?The angle is the distance between the intersecting lines or surfaces. The angle is also expressed in degrees. The angle is 360 degrees for one complete spin.
Supplementary angle - Two angles are said to be supplementary angles if their sum is 180 degrees.
The angle u is congruent to angle t.
From the diagram, angle t, angle u, and angle 122 are supplementary angles. Then the equation is given as,
∠t + ∠u + 122° = 180°
∠t + ∠t = 58°
2∠t = 58°
∠t = 29°
The measure of the angle u and angle t will be 29 degrees.
More about the angled link is given below.
https://brainly.com/question/15767203
#SPJ5
4j = 0.7 Solve for j
Answers
Answer:
0.175
Step-by-step explanation:
[tex]\frac{4j}{4} =\frac{0.7}{4}[/tex]
j=0.175
You should get 0.175
(PLEASE HELP ASAP)
A plumber has a 12-foot piece of pipe. He needs 8 feet, 6 inches of pipe to repair a leak in a water line. How many inches of pipe will he have left after he makes the repair?
Answers
Answer:
3ft 6in or 42 inches in total
Step-by-step explanation:
hope this helps
this due tomorrow please help!!!!
Answers
Hope this helps
Use the table to Solve inequality -3x < 3
Answers
Answer:
x>-1
Step-by-step explanation:
WILL GIVE BRAINIEST AND 100 POINTS TO CORRECT ANSWER
A parallelogram is shown below:
Part A: What is the area of the parallelogram? Show your work. (5 points)
Part B: How can you decompose this parallelogram into two triangles? If this parallelogram was decomposed into two triangles, what would be the area of each triangle? (5 points)
Answers
Answer: part a: area = bh part b: split it on its diagonals
Step-by-step explanation:
IS 7 7 Solve for a = √[? [] a a = 4 Enter the number that goes beneath the radical symbol 4 Enter
Answers
Answer:
[tex]a=\sqrt{33}[/tex]
Step-by-step explanation:
When we solve for this we should always remember this formula [tex]a^2+b^2=c^2[/tex] and since we already know b and c we can plug that in to find out what a could be but we won't actually solve it.
[tex]a^2+b^2=c^2\\a^2+4^2=7^2\\a^2+16=49\\a^2=33\\\sqrt{a^2}=\sqrt{33}\\a=\sqrt{33}[/tex]
So a would equal whatever the square root of 33 is.
A triangle has a base of 16" in height of 1/8 inch what is the area?
Answers
Answer:
Area of triangle is 1 inches²
Step-by-step explanation:
We are given:
Base of triangle = 16 inches
Height of triangle = [tex]\frac{1}{8} \:[/tex] inches
We need to find:
Area of triangle
The formula used to find Area of triangle is:
[tex]Area \:of\: triangle=\frac{1}{2}\times b \times h[/tex]
where b is base and h is height.
Putting values and finding area:
[tex]Area \:of\: triangle=\frac{1}{2}\times 16 \times \frac{1}{8}\\ Area \:of\: triangle=\frac{16}{16}\\ Area \:of\: triangle=1\:inches^2[/tex]
So, Area of triangle is 1 inches²
Please answer really important
Answers
Answer:
3x16+8x8
Step-by-step explanation:
3 lots of 16
+
8 lots of 8
Answer:
I know that 1 and 3 are correct.
Step-by-step explanation:
3x16+8x8
There are 8 childrens tickets, which each cost 8 dollars so you multiply those.
There are three adult tickets, which each cost 16 dollars so you multiply those and then you add the two products together.
3x16+8²
8 squared is just 8x8.
There are three adult tickets, which each cost 16 dollars so you multiply those and then you add the two products together.
Of the shirts produced by a company, 6.5% have loose threads, 9.5% have crooked stitching, and 3% have loose threads and crooked stitching. Find the probability that a randomly selected shirt has loose threads or has crooked stitching.
Answers
Answer:
[tex]P(L\ or\ C) = 0.13[/tex]
Step-by-step explanation:
Given
Represent loose threads with L, Crooked stitching with C.
So, we have:
[tex]P(L) = 6.5\%[/tex]
[tex]P(C) = 9.5\%[/tex]
[tex]P(L\ and\ C) = 3\%[/tex]
Required
Calculate P(L or C)
In probability:
[tex]P(A\ or\ B) = P(A) + P(B) - P(A\ and\ B)[/tex]
In this case:
[tex]P(L\ or\ C) = P(L) + P(C) - P(L\ and\ C)[/tex]
Substitute values for P(L), P(C) and P(L and C)
[tex]P(L\ or\ C) = 6.5\% + 9.5\% - 3\%[/tex]
[tex]P(L\ or\ C) = 13\%[/tex]
Convert to decimal
[tex]P(L\ or\ C) = 0.13[/tex]
Hence:
The required probability is 0.13
please help with this :(
Answers
Answer: -m^4
Step-by-step explanation:
Answer:
-1
Step-by-step explanation:
-1 x -1 x -1 = 1
solve the question below
Answers
Answer:
The answer is below
Step-by-step explanation:
1) A triangle is a polygon with three sides and three angles. There are different types of triangles such as obtuse, scalene, right angle, equilateral and isosceles triangle.
Given that triangle ABC is right angled and AC = 25 cm = hypotenuse and BC = 15 cm. Using Pythagoras:
AC² = BC² + AB²
25² = AB² + 15²
AB² = 25² - 15²
AB² = 400
AB = √400
AB = 20 cm
Using sine rule:
[tex]\frac{sin(B)}{AC}=\frac{sin(A)}{BC}=\frac{sin(C)}{AB}\\\\But\ \angle B= 90^o(right\ angle)\ hence:\\\\ \frac{sin(B)}{AC}=\frac{sin(A)}{BC}\\\\\frac{sin(90)}{25}=\frac{sin(A)}{15}\\\\sin(A)=\frac{sin(90)}{25}*15\\\\sin(A)=0.6\\\\A=sin^{-1}(0.6)\\\\A=36.87^o[/tex]
2)
Using Pythagoras:
hypotenuse² = 8² + 6²
hypotenuse² = 100
hypotenuse = √100
hypotenuse = 10
Using sine rule:
[tex]\frac{sin(x)}{8}=\frac{sin(90)}{10}\\\\sin(x)=\frac{sin(90)}{10}*8\\\\sin(x)=0.8\\\\x=sin^{-1}(0.8)\\\\x=53.13 ^o[/tex]
Point A is located at (8, 7) and Point B is located at (0, 5) find the midpoint of line segment overline AB .
Answers
Answer:
The midpoint of the line segment D = ( 4, 6)
Step-by-step explanation:
Explanation:-
Given points are A(8,7) and B(0,5)
The midpoint of line segment overline AB
Let 'D' be the midpoint of AB
[tex]D= (\frac{x_{1} + x_{2} }{2} , \frac{y_{1} +y_{2} }{2} )[/tex]
[tex]D = (\frac{8+0}{2} , \frac{7+5}{2} )[/tex]
[tex]D = (\frac{8}{2} , \frac{12}{2} )[/tex]
The midpoint of the line segment
D = ( 4, 6)
How Many Solutions?
3x - 7 = 3(x - 3) + 2
No Solution
One Solution
Infinite Solution
Answers
Answer:
Infinite Solutions
Step-by-step explanation:
3x-7=3x(x-3)+2
3x-7=3x-9+2 - Distributive Property
3x-7=3x-7 - adding the right side together
The guidance office at a high school surveyed their 12th grade students to know in which of four states they would prefer to live in after highschool. The results are summarized in the tso way frequency table below.
Which two-way table accurately represents the relative frequency for the whole table in this situation?
Answers
Hence, the two way frequency table is:
Action Drama Comedy total
Highschool 26/128=0.20 14/128=0.11 22/128=0.17 0.48
College 20/128=0.16 28/128=0.22 18/128=0.14 0.52
----------------------------------------------------------------------------------------------------------
total 0.36 0.33 0.31 1
Step-by-step explanation:
" When a two-way table displays percentages or ratios (called relative frequencies), instead of just frequency counts, the table is referred to as a two-way relative frequency table " .
We are given a table or data as:
Action Drama Comedy Total
Highschool 26 14 22 62
College 20 28 18 68
------------------------------------------------------------------------------------------------------------
Total 46 42 40 128
The total number of students in all the categories and classes are: 128
Hence the two way frequency table is constructed by dividing all the frequencies by the total number of students i.e. 128.
Action Drama Comedy total
High school 26/128=0.20 14/128=0.11 22/128=0.17 0.48
College 20/128=0.16 28/128=0.22 18/128=0.14 0.52
----------------------------------------------------------------------------------------------------------
total 0.36 0.33 0.31 1
Answer:
It would be the first table (taking the test right now) p.s sorry if im late
Step-by-step explanation:
CA TX NY FL Total
Boys 0.21 0.095 0.16 0.11 0.575
Girls 0.125 0.11 0.065 0.125 0.425
Total 0.335 0.205 0.225 0.235 1
Plsssss help before it gets locked
Answers
B. Could be E or F
Answer:
uhhh i might be l;ate lol
Step-by-step explanation:
HURRY PLEASE!!! IM BEING TIMED. I WILL GIVE YOU BRAINLIEST!
Answers
Answer:
Josh charges $5 more than Lindsay
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
lindsay's equation is y=6x+15.
you compare the first row and second row to find the cost per dog and then subtract from the total to find the initial cost.
I need help is this right
Answers
Answer:
it's D
Step-by-step explanation:
it said that its more then which equals to a greater sign (>).
3,500 divided by what =70
Answers
Answer:
50
Step-by-step explanation:
Answer:
50
Step-by-step explanation:
3500 ÷ 70 = 50
3500 ÷ 50 = 70
Students in Mr. Hill’s class were asked how many TV shows they watched last weekend. The results are shown on the line plot. A line plot titled Amount of T V Watched. A number line goes from 0 to 7 and represents the number of T V Shows. There are 4 marks above 0, 2 marks above 1, 4 marks above 2, 3 marks above 3, 1 mark above 4, 2 marks above 5, 1 mark above 6, 3 marks above 7. Which statement about the number of TV shows watched is accurate? Half of the students watched fewer than two TV shows. More than half of the students watched three or more TV shows. Fewer than one-quarter of the students watched five or more TV shows. Half of the students watched fewer than two shows or more than five shows.
Answers
Answer:
i think it is b
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
Plz mark brainliest
This is marked as wrong? Can anyone please correct my mistake?
Answers
Answer:
y - 0 = -⅔(x - 3)
Step-by-step explanation:
Given a point, (a, b) and slope, m, equation of the line in point-slope form can be written.
Thus:
Substitute (a b) = (3, 0), and m = -⅔ into y - b = m(x - a).
y - 0 = -⅔(x - 3) (the equation in point-slope form)
7.4 divided by 92.5 will have the same quotient as 74 divided by 925?
Answers
Yes because in it's the same variable do it will give the same answer
Suppose that quiz scores in a beginning statistics class have a mean of 6.6 with a standard deviation of 0.6. Using Chebyshev's Theorem, what is the minimum percentage of quiz scores between 4.8 and 8.4
Answers
Answer:
88.89%
Step-by-step explanation:
Calculation for what is the minimum percentage of quiz scores between 4.8 and 8.4
The calculated minimum percentage value of quiz scores between
First step is to calculate the lower k value using this formula
k=(x1−m)/s
Where:
x1 represent first random value 4.8
x2 represent second random value 8.4
m represent mean 6.6
s represent standard deviation 0.6
Let plug in the formula
k=(4.8−6.6)/0.6
k=−1.8/0.6
k=−3
Second step is to calculate the upper k value
k=(x2−m)/s
k=(8.4−6.6)/0.6
k=1.8/0.6
k=3
Now let calculate the minimum percentage
Using this formula
Minimum percentage=1−1/k^2
Let plug in the formula
Minimum percentage=1−1/3^2
Minimum percentage=1−1/9
Minimum percentage=1−0.1111
Minimum percentage=0.8889*100
Minimum percentage=88.89%
Therefore the minimum percentage of quiz scores between 4.8 and 8.4 is 88.89%
Answer:
75%
Step-by-step explanation:
5.2−6.40.6=−2 and 7.6−6.40.6=2.
This means that 5.2 lies 2 standard deviations below the mean and 7.6 lies 2 standard deviations above the mean.
According to Chebyshev's Theorem, at least 75% of data values lie within 2 standard deviations of the mean.
Therefore, we can say that 75% is the minimum percentage of quiz scores between 5.2 and 7.6.
PLEASE god answer this question, no one will ever answer my stuff.
If the simple interest on $6000 for 8 years is $2400, then what is the interest rate?
Answers
Answer:
there are different intrest rates, depending on where it is. but im choosing 8400
Step-by-step explanation:
i realy need help with this: 2 2/3 divided by 9
Answers
Answer:
8/27
Step-by-step explanation:
2 2/3 = 8/3
8/3 divided by 9 =
8/3 x 1/9 =
8/27
Pls help on #10 will give brainliest
Answers
1.6[7-4m]=30
2.[5+6a]-3=8
Answers
Answer:
(a,m=(-1499/1812, 1/2)
Step-by-step explanation:
hope this helps!
branliest on this volume on a cube volume question
Which cube is a unit cube?
1. a cube that is 2 feet long, 2 feet tall, and 2 feet high
2. a cube that is 5 meters long, 5 meters wide, and 5 meters high
3. a cube that is 3 yards long, 3 yards wide, and 3 yards high
4. a cube that is 1 inch long, 1 inch wide, and 1 inch high
Answers
Answer:
4th one
Step-by-step explanation:
In geometry, a unit cube is a cube whose each side is 1 unit long.
Answer:
4TH ONE
Step-by-step explanation: