The exact value of the cotangent of theta in simplest radical form is -21/20.
What is the simplest radical form?
The simplest radical form is the expression of a radical without any factors inside the radical that can be further simplified.
To find the exact value of cotangent of theta, we need to find the values of cosine and sine of theta first.
Given that the terminal side of the angle passes through the point (21,-20), we can use the Pythagorean theorem to find the hypotenuse of the right triangle formed by the angle and the x and y-axes:
[tex]h = \sqrt{(21^2 + (-20)^2)} = \sqrt{(841 + 400)} = \sqrt{(1241)}[/tex]
Then, we can find the values of cosine and sine of theta using the x and y-coordinates of the point:
cos(theta) = adjacent/hypotenuse = 21/sqrt(1241)
sin(theta) = opposite/hypotenuse = -20/sqrt(1241)
Now we can find the value of cotangent of theta:
cot(theta) = cos(theta) / sin(theta) = (21/sqrt(1241)) / (-20/sqrt(1241))
= -21/20
Therefore, the exact value of the cotangent of theta in simplest radical form is -21/20.
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First correct answer gets brainliest! All guesses will be reported. Tysm!!
Answer:
90 in
Step-by-step explanation:
360/60 = 6
15*6 = 90
Here is some more
Find the value of x: 3x−7=8x+23
Answer: x=6
Step-by-step explanation:
Answer:
x = -6
Step-by-step explanation:
Subtract 3x from both sides to get -7=5x+23.
Subtract 23 from both sides to get -30=5x.
Divide 5 from both sides.
x = -6.
Which equation represents a line which is parallel to the line x+4y=-20x+4y=−20?
Answer:
y=7x+3, y=7x−6
What is 2(12)3/2 in its simplest form
Answer:
Hi! The answer to your question is 36
Step-by-step explanation:
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☆Brainliest is greatly appreciated!☆
Hope this helps!!
- Brooklynn Deka
Hey there!
2(12)3/2
= 2(12)(3/2)
= 24(3/2)
= 24/1 * 3/2
= 24(3) / 1(2)
= 24 + 24 + 24 / 1 + 1
= 48 + 24 / 2
= 72 / 2
= 72 ÷ 2 / 2 ÷ 2
= 36 / 1
= 36 ÷ 1
= 36
Therefore, your answer is: 36
Good luck on your assignment & enjoy your day!
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HELP HEP HELP LAST ONE OMG
If the probability that it will rain
tomorrow is 3/8, what is the
probability that it will not rain?
Answer:
5/8
Explanation: 8/8 - 3/8 = 5/8
Answer:
0.625
Step-by-step explanation:
1-3/8 total probability is 1 thus you take the probability that it will rain from 1 and get the answer
Rhea draws rows and columns on a big piece of paper to make 16 same-sized squares. How many rows and columns does she draw? I
Answer:
4 rows and 4 columns
Step-by-step explanation:
Given
16 same sized squares
Required
Determine the number of rows and columns
Since the shape formed is a square, then the following relationships exist:
[tex]Row * Column = 16[/tex]
[tex]Row = Column[/tex]
[tex]Row * Column = 16[/tex] can then be rewritten as:
[tex]Row * Row = 16[/tex]
[tex]Row^2 = 16[/tex]
Take square roots of both sides
[tex]Row = \sqrt{16[/tex]
[tex]Row = 4[/tex]
[tex]Row = Column[/tex] implies that:
[tex]Row = Column = 4[/tex]
The sum of the digits in a two digit number is 5. If 27 is subtracted from the number then places of the digits are interchanged. Find the number. Please answer this with clarification! Thankyou<3
Please find the attached photograph for your answer
determine equation for line that is perpendicular to x=-2 and passes through the point (6,1)
Answer:
y = 1
Step-by-step explanation:
Bella surveyed the first 15 students in the lunch line.
Is this sample of the students in the school likely to be representative?
yes
no
Answer:
No
Step-by-step explanation:
Only people in the lunch line got surveyed, that on it's own is biased.
Only 15 people out of the entire school.
Only the first people got surveyed.
Doug is in line at the store. He has three items that cost $4.50, $3.05, and $1.50. Explain how Doug can add the cost of the items mentally before he pays for them.
Answer:
He can add through calculater or by doing addition in his mind
Can you answer 1 and 2
Answer:
You have them both correct. #1 is B #2 is C
Step-by-step explanation:
Please help i'm not doing good in math i will give you the crown
Answer:
B
Step-by-step explanation:
The format for quadrant 2 would be (-,+) and answer choice be fits that because it is(-3,2)
find the surface area of the following cylinder. Round your answers to the nearest tenth.
Answer:
233
Step-by-step explanation:
2=33=2=
Solve the linear inequality: x ≤ -x + 4
Answer:
x ≤ 2
Step-by-step explanation:
i hope this helps :)
Question 10 of 10
Sample A and sample B are from the same population. If the sample
proportion for sample A is 0.53, the sample proportion for sample B has to be
0.53
A. True
B. False
Answer is false
Answer:
It’s false
Step-by-step explanation:
It doesn’t need to be the same
write the following quotient in scientific notation:
Answer:
0.7
Step-by-step explanation:
Alyssa has 30 pencils, where 60% of the pencils are sharpened. How many sharpened pencils does Alyssa have?
Answer:
18 sharpened pencils
Step-by-step explanation:
Total = 30 pencils
100% = 30 pencils
1% = 30 ÷ 100 = 0.30
60% = 0.30 x 60 = 18
Answer:
18 sharpened pencils
Step-by-step explanation:
the percent 3/5 can be multiplied by 6 to give u 18/30
Can someone please help me with math.
In a survey taken 6/10 of students chose to attend in person learning on Mondays. 3/10 of students chose Tuesdays. How many students chose Monday or Tuesday?
Answer:
9/10 students chose Monday or Tuesday.
or
90% of students chose Monday or Tuesday
Explanation:
We add both fractions 6/10 + 3/10 which equals 9/10
A right rectangular prism has base dimensions of 2 1 /10 ft wide and 4 1/ 5 ft long. If the height of the prism is 3 1 /2 ft, what is the volume of the prism?
Answer:
2 1/10 x 4 1/5 x 3 1/2 = 30 87/100 feet
(Remember multiply one by one first multiply 2 1/10 x 4 1/5 = 8 41/50
then multiply 8 41/50 with 3 1/2 to get = 30 87/100 is your answer)
Step-by-step explanation:
Just multiply the given lengths. A 3 dimensional shape has to be given 3 sides in order to know the area/volume: Length x Width x Height
11. Oliver had $10. On his birthday, he received $25. Use the equation below to find how much money Oliver has now. equation: 10 + 25 = m *
Answer: 35
Step-by-step explanation:
The sum of three consecutive odd integers is 189. What
are the integers?
Answer:
61, 63, 65
Step-by-step explanation:
n + n+2 + n+4 = 189
3n = 183
n = 61
Answer:
The three consecutive odd integers are 61, 63, and 65
Step-by-step explanation:
Let the three consecutive odd integers be:
n + 1, n + 3 and n + 5
Therefore:
n + 1 + n + 3 + n + 5 = 189
3n + 9 = 189
3n = 180
n = 60
n + 1 = 61
n + 3 = 63
n + 5 = 65
the ratio of dog to cats in the shelter was 4 to 6 if there were 12 cats how many dogs would there be
Answer:
8 dogs
Step-by-step explanation:
If there were 6 cats, there would be 4 dogs. Since there is double that amount of cats, then we just double the amount of dogs from 4 to 8, our final answer.
I would appreciate Brainliest but no worries.
B3BB
Which graph represents the solution set of the inequality x+226?
986
08
4
9 S
7
8
6
+
0 1 -
SS 986
1
2
3
S
6
7
6 8
1 S 986
0
1
2 3
4.
5
9
7 8 9
0
1
2
S
4
5
9
B 2
6
Answer:
C is correct
Step-by-step explanation:
Firstly, we have to solve for x in the solution set of the inequality
We have this as follows;
x + 2 ≥ 6
x ≥ 6-2
x ≥ 4
To graph this, we consider the middle sign which is greater than or equal to
So, the inequality sign has to face the right side
secondly, it has to be shaded on the point 4 due to the fact that it has the ‘equal to’ beneath the single inequality symbol
so, the correct answer here is option C
In ΔNOP, the measure of ∠P=90°, the measure of ∠N=27°, and PN = 50 feet. Find the length of NO to the nearest tenth of a foot.
Answer:56.1
Step-by-step explanation:
Clicked see solution
Help need answer rn.
Answer:
The 3rd one
Step-by-step explanation:
Explanation is in a file
bit.[tex]^{}[/tex]ly/3a8Nt8n
Please help I'll mark brainliest
Answer:
(-5,6)
Step-by-step explanation:
5(-5) +6y =11
-25 +6y = 11
6y = 36
y = 6
If the buses run on schedule, when is the next time a red line and a blue line bus will leave together? Show your work.
Answer:
So the next time they will leave together is 4:24 pm
Step-by-step explanation:
Since both the buses left at 4 pm and red line bus leaves every 6minutes and blue line bus leaves every 8 minutes they next time they leave together can be found by taking the L.C. M of 6 and 8.
The L.C. M is found by multiplying all the factors and chosing one which common in both numbers.
Factors of 6 = 2*3
Factors of 8= 2*2*2
In these numbers 2 is common in both.The rest of the numbers( 2*2*3 )are multiplied with the the common 2 to get the L.C.M
L.C.M= 2*2*2*3= 24 minutes
So the next time they will leave together is 4:24 pm
7x + 2y - 3 = 0 in slope intercept form.
Answer:
y=(-7/2)x+3
Step-by-step explanation:
7x+2y-3=0
7x+2y=3
2y=-7x+3
y=(-7/2)x+3
Answer:
y = - [tex]\frac{7}{2}[/tex] x + [tex]\frac{3}{2}[/tex]
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c
Given
7x + 2y - 3 = 0 ( subtract 7x - 3 from both sides )
2y = - 7x + 3 ( divide each term by 2 )
y = - [tex]\frac{7}{2}[/tex] x + [tex]\frac{3}{2}[/tex] ← in slope- intercept form
