The exact value of the given trigonometric function cot(π/3) is √3/3.
What is the cotangent (cot)?The cotangent (cot) of an angle is defined as the ratio of the adjacent side to the opposite side of a right triangle.
Here, given that an angle of π/3, which is not a right angle.
So, we need to use the trigonometric identities to find the value of cot(π/3).
cot(θ) = 1/tan(θ)
where θ is an angle in radians.
We know that the tangent of π/3 is √3, as this is the opposite side (which is the same as the sine) divided by the adjacent side (which is the same as the cosine) of a 30-60-90 right triangle.
So, cot(π/3) can be expressed as:
cot(π/3) = 1/tan(π/3)
= 1/√3
Multiplying the numerator and denominator by √3/√3, we get:
cot(π/3) = √3/3
Therefore, the exact value of cot(π/3) is √3/3.
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Yesterday you walked 2 7/10 miles on your treadmill. Today you walked 1 6/10 miles. How far did you walk in these two days? Also I need an answer that looks like this 3 4/5
Answer:
The answer is 4 3/10
Step-by-step explanation:
If you first break this question up into two steps, you first must add the whole numbers and then the fractions, like this:
2 7/10 1 6/10
First, add the whole numbers [Bold]
2 + 1
That equals the whole number 3
2 7/10 1 6/10
Next you add the fractions [Underlined]
7/10 + 6/10
this equals 13/10
Since this fraction is higher than 10/10, it equals a whole number too. This fraction, 13/10, will be simplified to 1 whole and 3/10. After simplifying this number you add the whole numbers once again resulting in 3 + 1, giving you 4. after finding this out you add your fractions back in, creating the answer of 4 3/10.
Hope this helps you out!
Is this table proportional?
Answer:
yes it is
Step-by-step explanation:
pls give brainlest almost lvled up
Answer:
I believe that this is not.
It is not proportional.
Please help ASAP! The best answer get brainliest!!
Answer:
1. A
2. B
Hopefully this is right.
Can i have brainliest?
If tanx =√24 and cosx =−2√23, find sinx.
Answer:
Step-by-step explanation:
sin(x)=cos(x) × tan(x)
=(-2√23)×(√24)
=(-2√23)×(2√6)
=(-4√138)
=(-4(2√(3×23)))
=(-8√69)
we need help . we think we got it but were not sure
Answer:
your right
Step-by-step explanation:
Explain why sine of an angle greater than 180° and less than 360° is negative.
9514 1404 393
Explanation:
The sine of an angle in standard position is the y-coordinate of the intersection of its terminal ray with the unit circle. When the angle is in the range 180° < θ < 360°, that point of intersection is in quadrant III or IV, where y-coordinates are negative.
__
Alternative explanation:
That is where the sine curve is below the x-axis.
3-6(1 +n)
I don’t need the variable solve
Answer:
-6n -3
Step-by-step explanation:
I'm assuming that if you don't need the variable solved, then you need it converted? here's another form.
A robot can complete 8 tasks in
3 and a fourth hour. Each task takes the same amount of time.
Answer:
5/6 hour = 5/6 × 60 = 300/6 = 50 minutes
8 tasks in 50 minutes
1 task = 50/8 = 6 1/4 minutes
a. robot completes task in 6 1/4 minutes
b. #tasks per hour =
#of tasks × time takes to do task < or = 60
n × 6.25 = 60
6.25n = 60.
n= 60/6.25 = 9.6
robot can complete 9 tasks in one hour
Step-by-step explanation:
Devansh buys a house for $189,900. The tax rate is 7.5%. How much was the tax on the home?
Answer:
Answer should be $4242.5
Step-by-step explanation:
Im doing the same thing
What is the probability that the winner of the race (the fastest one of the four runners) will come from Team 2?
Answer:
B what is the probability that the winner of the race ... that the winner of the race (the fastest one of the four runners) will come from Team 1? ... Setting λ 1 = 19 / 90 and λ 2 = 5 / 24 we have, P ( X 1 < X 2 ) = Z ∞ 0 Z ∞ x 1 f X 1 ( x 1 ) f X 2 ( x 2 ) ...
Step-by-step explanation:
hope this helps
What are the values of x and y in the following system of equations?
[tex]x+y=15[/tex]
[tex]y-x=5[/tex]
Step-by-step explanation:
By elimination method,
x+y=15
-x+y=5
------------
2y=20
i.e y=10
Now,
x+y=15
or, x+10=15
or, x=5
Find each percent decrease. round to the nearest percent. from $16 to $4
Answer:
I think the answer would be 40%
Step-by-step explanation:
U would do 16 divided by 4 and get 4 and a 0 then bam I have ur answe.
What are the solutions to the quadratic equation below? X^2-8x+16
(₋4)²
how i got it -
1st i used the sum-product pattern
x² - 8x + 16
x² -4-4+16
then, found the common fact from the two pairs
x² - 4 - 4 + 16
(-4) - 4(-4)
rewrite in factored form
(x-4)-4(-4)
(-4) (-4)
combine to a square
(-4) (-4)
Answer:
x=4*
Step-by-step explanation:
*THIS IS ASSUMING THAT THIS EQUATION IS EQUAL TO ZERO
X^2-8x+16=0
Let's solve this equation by factoring. First, we need to find factors of 16 that add to -8. We find that those factors are -4 and -4. X^2 is simply x times x.
Therefore, when it is factored It should look like this:
(x-4)(x-4)=0
Now we take both factors and set them equal to zero:
x-4=0; x-4=0
In both of these equations we just need to add 4 to both sides.
x=4; x=4
x=4
HTH :)
Simplify the expression.
(5)10 - (5)13
O-15
O-3
O 115
O2
Answer:
-15 is a answere
Step-by-step explanation:
According to BODMAS(bracket of Division Multiplication Addition Sutraction) rule
5*10-5*13
50-65
-15
Use the information to answer the following questions. The angle measures of a triangle are shown. Angle A: (5x – 5) degrees Angle B: (3x + 3) degrees Angle C: (5x) degrees What expression can be written to represent the sum of the angle measures?
Answer:
5x-5+3x+3+5x=180
Step-by-step explanation:
As it is a triangle, sum of all angles is 180.
5x-5+3x+3+5x=180
13x=182, x=14
The expression that represents the measure sum of the angle is
(5x – 5)° + (3x + 3)° + (5x)° = 180°.
What is a triangle?A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.
We also know that sum of all the interior angles of a triangle is 180°.
The given statement can be written as,
∠A + ∠B + ∠C = 180°.
(5x – 5)° + (3x + 3)° + (5x)° = 180°.
13x - 2° = 180°.
13x = 180° + 2°.
13x = 182°.
x = 14°.
We can also find the measure of each angle now by substituting the value of x in ∠A, ∠B, and ∠C.
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Geometry
> B.9 Midpoint formula: find the midpoint 2YG
S(8, 8) and T(4, 10) are the endpoints of a line segment. What is the midpoint M of that line
segment?
Write the coordinates as decimals or integers.
M =
Answer:
The midpoint (x,y)=(6,9)
Step-by-step explanation:
We need to find midpoints(x,y) of the line segment having endpoints S(8, 8) and T(4, 10)
The formula to find midpoint is:
[tex]Midpoint(x,y)=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})\\[/tex]
We are given: [tex]x_1=8, y_1=8, x_2=4 , y_2=10[/tex]
Putting values and finding midpoint
[tex]Midpoint(x,y)=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})\\Midpoint(x,y)=(\frac{8+4}{2},\frac{8+10}{2})\\Midpoint(x,y)=(\frac{12}{2},\frac{18}{2})\\Midpoint(x,y)=(6,9)[/tex]
So, the midpoint (x,y)=(6,9)
jshsmsnsksskjs landmarks sksnsn
Answer:
sknsonsknsknsknskdnksndksn?
If LN = 6x - 5, LM = x + 7, and MN = 3x + 20, find MN
Answer:
68
Step-by-step explanation:
LM + MN = LN
x + 7 + 3x + 20 = 6x - 5
4x + 27 = 6x - 5
-4x -4x
27 = 2x - 5
+5 +5
32 = 2x
÷2 ÷2
16 = x
MN: 3x + 20
3(16) + 20
48 + 20
68
Solve for u: 2(u + 6) - 8 > 3(u - 5)
Answer:
19
Step-by-step explanation:
First get rid of the brackets:
[tex]2u + 12 - 8 > 3u - 15[/tex]
Then simplify:
[tex]2u + 4 > 3u - 15[/tex]
Get all the u's on one side:
[tex]2u - 3u > - 15 - 4[/tex]
Simplify and find u:
[tex] - u > - 19[/tex]
[tex]u < 19[/tex]
Each letter of the word BANANA is written on a card. Find each probability if you pick two cards without replacing the first. Assume that you get the letter you want when you draw.
4. P (B and then A)
5. P (N and then N)
6. P (B and then a B
Answer:
5
Step-by-step explanation:
There answer would be 5
HURRY WILL GIVE BRAINLIEST
Given: ABCD is a parallelogram.
Prove: AB CD and BC DA
Angles Segments Triangles Statements Reasons
Please make the answer clear
Drawing the diagonal [tex]\overline {AC}[/tex] of the parallelogram makes the proof of the
congruency of opposite sides of a parallelogram clearer.
[tex]\overline {AB}[/tex] ≅ [tex]\overline {CD}[/tex] and [tex]\overline {BC}[/tex] ≅ [tex]\overline {DA}[/tex] by ASA rule of congruency
Reasons:
The two column proof is presented as follows;
Statement [tex]{}[/tex] Reasons
ABCD is a parallelogram [tex]{}[/tex] Given
∠BAC ≅ ∠DCA [tex]{}[/tex] Alternate interior angles theorem
∠BCA ≅ ∠DAC [tex]{}[/tex] Alternate interior angles theorem
[tex]\overline {AC}[/tex] ≅ [tex]\overline {AC}[/tex] [tex]{}[/tex] Reflexive property
ΔABC ≅ ΔACD [tex]{}[/tex] ASA rule of congruency
[tex]\overline {AB}[/tex] ≅ [tex]\overline {CD}[/tex] [tex]{}[/tex] CPCTC
[tex]\overline {BC}[/tex] ≅ [tex]\overline {DA}[/tex] [tex]{}[/tex] CPCTC
Therefore, segment [tex]\overline {AB}[/tex] and segment [tex]\overline {CB}[/tex] in ΔABC are congruent to
segment [tex]\overline {CD}[/tex] and segment [tex]\overline {DA}[/tex] in ΔACD by Angle-Side-Angle, ASA, rule of
congruency.
CPCTC stands for Congruent Part of Congruent Triangle are Congruent
Learn more here:
a temperature of 0 degrees Celsius:
a temperature of 8.5 degrees Celsius above zero:
a temperature of 7 degrees Celsius below zero:
100 points
Answer:
mark on the 0, on the 7, and half way past 8
hope this helps, pls give brainliest
Step-by-step explanation:
HELP FAST! MULTIPLE CHOICE! SHOW A LITTLE WORK! PLEASE FAST I HAVE 3 MINUTES
Answer:
I think it's C
If one (1) tablespoon equals three (3) teaspoons, how many tablespoons are in 13 teaspoons?
a.2 2/3 tablespoons
b.4 1/2 tablespoons
c.3 1/3 tablespoons
d.4 1/3 tablespoons
Evaluate f(-2) for the function f(x)= -1/2x^2 + x + 1
Answer:
f(-2) = -3
Step-by-step explanation:
[tex]f(x)=-\frac{1}{2} x^{2} +x+1[/tex]
Just plug in x = -2
[tex]f(-2)=-\frac{1}{2} (-2)^{2} -2+1[/tex]
[tex]f(-2)=-\frac{1}{2} (4) -1[/tex]
4 can be rewritten as [tex]\frac{4}{1}[/tex] or [tex]\frac{8}{2}[/tex] so it has a common denominator.
[tex]f(-2)=-\frac{1}{2} * \frac{8}{2} -1[/tex]
[tex]f(-2)=-\frac{4}{2} -1[/tex]
[tex]f(-2)=-2-1[/tex]
[tex]f(-2)=-3[/tex]
HELPPPPPP ILL GIVE BRAINLIEST!!!!
Answer: a
Step-by-step explanation:
Match the vocabulary to the proper definition.
1. a number that divides evenly into a given number
2. expressions, equations, and operations involving variables
3. the bottom part of a fraction, represents the whole
4.
a fraction with a numerator that is larger than or equal to the denominator
5. the number in an algebraic term improper fraction
ANSWERS:
1. Factor
2. Algebraic
3. Denominator
4. Improper Fraction
5. Coefficient
Answer:
Step-by-step explanation:
1). A number that divides evenly into a given number - Factor
2. Expressions, equations, and operations involving variables -Algebraic
3. The bottom part of a fraction - Denominator
4. A fraction with a numerator that is larger than or equal to the denominator - Improper fraction
5. The number in an algebraic term - Coefficient
Answer:
1. Factor
2.Algebraic
3. Denominator
4. Improper fraction
5. Coefficient
Rahul has a farm he wishes to fence. The farm is the pentagon ABCDE, shown
below. He knows that ABCD is a 140 m by 150 m rectangle, as shown below.
He also knows that E is 50 m from the side AB and 30 m from the side BC.
Determine the length of AE, the length of DE, and the perimeter of pentagon
ABCDE.
**Please answer ASAP**
***I'm new so I don't have a lot of points. Still please answer the question.***
Answer:
560
Step-by-step explanation:
thatis the right answer
Write this expression using exponents
Answer:
[tex]4p^{2}[/tex] or 4p^2
Step-by-step explanation:
Combine like terms:
4 x 4 and p x p
4^2 and p^2
4p^2
Read the excerpt from The Call of the Wild.
Then an old wolf, gaunt and battle-scarred, came forward. Buck writhed his lips into the preliminary of a snarl, but sniffed noses with him, Whereupon the old wolf sat down, pointed nose at the moon, and broke out the long wolf howl. The others sat down and howled. And now the call came to Buck in unmistakable accents. He, too, sat down and howled. This over, he came out of his angle and the pack crowded around him, sniffing in half-friendly, half-savage manner. The leaders lifted the yelp of the pack and sprang away into the woods. The wolves swung in behind, yelping in chorus. And Buck ran with them, side by side with the wild brother, yelping as he ran.
Which theme does this passage illustrate?
A good leader is strong and intelligent and treats his followers well.
Only the strong survive in the wilderness.
The only way to learn something is to try it.
The desire to fight for power is an instinct.
Answer:
The passage is centered on the theme of belonging in a certain pack or group. Buck may be a bit different from the others but as Buck tried to be like them and did what they usually do, it gathered the trust of the pack especially the leaders. To belong in a group, one should gain their trust.
Step-by-step explanation:
Answer
A
Step-by-step explanation: