If θ is an angle in standard position and its terminal side passes through the point (21,-20), find the exact value of \cot\thetacotθ in simplest radical form.

Answers

Answer 1

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.

To learn more about the simplest radical form, visit:

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Related Questions

Fill in the blank. Two chords that are the same distance from the center of a circle must be
A. perpendicular
B. parallel
C. radii
D. congruent​

Answers

Answer:congruent

Step-by-step explanation:

PLEASEEE SOMEE FAST PLSSS HELPPPPPPPP MEE PLSSSSSSSSSSSSSSSSSSSSSSSSSS

Answers

Answer:

i odnt know

Step-by-step explanation:

1.Which are the equation and solution for the sentence, "Anumber, n, divided by
four tenths equals 12?"

A. n ÷ 4 = 12; n = 36
B. 0.4n = 12; n = 30
C. n − 0.4 = 12; n = 12.4
D. n ÷ 0.4 = 12; n = 4.8



2.Janet has read all but the last 58 pages of a book. The book has a total of 125
pages. Which equation can you use to find how many pages (x) she has
already read?

A. 125 + x = 58

B. 125 − x = 58

C. 125 ÷ 58 = x

D. 58 − x = 125


3.Coach Whitcomb treated her soccer players to ice cream cones after they won
their game. She bought 12 cones and paid a total of $21.00. If she solves the
equation 12x = 21, she can find the price per ice cream cone. What does 1
cone cost?

A. $2.00
B. $1.75
C. $1.50
D. $1.25

Answers

Answer:

1) B/ 0.4n = 12; n = 30

2) B/ 125 – x = 58

3) B/ $1.75

Step-by-step explanation:

1) 0.4n = 12

n = 12 ÷ 0.4

n = 30

2) 125 – x = 58

– x = 58 – 125

– x = – 67 ( – & – will get cancelled)

x = 67

a) 125 + x = 58

x = 58 – 125

x = – 67 (pages won't be in negative)

c) 125 ÷ 58 = x

2.15 = x (wrong)

d) 58 – x = 125

– x = 125 – 58

– x = 67

x = 67 ÷ –1

x = – 67 ( pages won't be in negative)

3) 12x = 21

x = 21 ÷ 12

x = 1.75

Find the area of a circle that has a diameter of 11 inches. Approximate r as 3.14. Round your answer to the nearest
hundredth.
חו
A=
in?

Answers

Answer:

94.985in^2

Step-by-step explanation:

Given data

Diameter= 11inches

Radius = 5.5 in i.e 11/2= 5.5inches

The  Area of a circle is given as

Area= πr^2

Substitute

Area= 3.14*5.5^2

Area= 3.14*30.25

Area= 94.985 in^2

Hence the area is 94.985in^2

The answer is 94.985in^2

rounded to neaarest hundreth 94.99in^2

factor: 18x²+39y-15=0 ​

Answers

Answer: x = 6

y= 6x2/13 + 5/13

Step-by-step explanation: to solve for and y: Isolate the variable by dividing each side by factors that don't contain the variable

NEED HELP ASAP!!!!!Can someone help me!???!

Answers

Answer:

c

Step-by-step explanation:

because it makes the most sense

Answer:

I am going to say c

Step-by-step explanation:

i need help please no links i just need the answer please i can’t fail

Answers

Answer:

c

Step-by-step explanation:

just trust me

can someone please help me with this:

x/4 ≤ -2

Answers

-8(super duper sorry if you get it wrong I tried my best)

6. Select all expressions that are equivalent to 1/2 to the third power.
Answer choices:
1/2 half but 2 is divided by 3.
1/8
1/3 to the second power
1/6
1/2x1/2x1/2

Answers

.5^3=0.125

Hope this helps.

Unit 8: Right Triangles & Trigonometry
Homework 2: Special Right Triangles
please help pt2 :]

Answers

question what unit/ grade math is this?

In circle o,find the value of x, rounded to the nearest tenth.

Answers

Answer:

[tex]\huge\boxed{x \approx 5.4}[/tex]

Step-by-step explanation:

We can break down this problem by first realizing different parts of the circle.

The line which is 8 units long is a chord of the circle.The line that is 3.6 is almost the radius of the circleThe line that x sits on is the radius.

With this, we can find out if we find the radius of the circle, we have our answer.

We should also note that the angle formed by the 3.6 units long line and the chord is a right angle.

What we need is a way to find the radius of the circle. This will get us x. The radius of a circle will be the length of any line that starts from point O and ends at the circle edge.

If we draw a line connecting the end of the 3.6 line at point O to the end of the 8 unit long chord, we get a triangle! (Image attached for reference).

We can solve for the hypotenuse using the Pythagorean Theorem. This theorem states that:

[tex]\displaystyle a^2 + b^2 = c^2[/tex]

Since we know one side is 3.6, we can use that as A. The second side will be 4 since the 3.6 line lies directly in the center of the chord = 8/2 = 4!

[tex]3.6^2 + 4^2 = c^2[/tex] [tex]12.96+16=c^2[/tex] [tex]28.96=c^2[/tex] [tex]\sqrt{28.96} = c[/tex] [tex]5.4 \approx c[/tex]

Therefore, since this is the radius of the circle (also the hypotenuse), this can be said for any line that comes from point O onto the edge of the circle.

The line X does just that. Therefore, the value of x is also 5.4.

Hope this helped!

A ______ is a set of all points in space that are give distance from a given point.

Answers

Answer:The set of all points in space that are a given distance from a given point, called the center. ... A radius is a segment whose endpoints are the center and a point on the sphere.

Step-by-step explanation:

A sphere or circle is a set of all points in space that are give distance from a given point.

What is a sphere?

A sphere is known to be a set of points that has all at the same distance r that is from a given point in three-dimensional space.

That said point is known to be the center of the sphere, and r is known to be the sphere's radius. The first known mentions of spheres is one that was seen in the work of the ancient Greek mathematicians.

learn more about circle from

https://brainly.com/question/24375372

The Albertsons are purchasing a home for $400,000. They are financing 70 percent of the home’s value. In addition to the down payment, they have the following closing costs:

Lender’s inspection fee $400

Loan origination fee 1.5% of the loan amount

Notary public fee $60
Document recording fees $75
Title search $300

What is the total amount of the closing costs?

Answers

Answer:

$5,035

Step-by-step explanation:

First, you have $400 as the first cost in the closing costs.

You Then find 1.5% of the loan amount, which is 70% of $400,000 ($280,000), so 1.5% of $280,000 is $4,200. So you add $4,200 to the $400

Next, you add the notary fee of $60.

Then you add the recording fees of $75.

Lastly, you add the title search of $300.

Now add everything up, $400 + $4,200 + $60 + $75 + $300 = $5,035

Final answer = $5,035

PLEASE HELP ITS A FINALE IF YOUR WRITE I GIVE YOU BRAINLIEST

Answers

Answer:

Answer is B.

Step-by-step explanation:

-2x (4x+5)

-8x^2 - 10x

Hippoty Hoppity, distributive property.

Multiply -2x by 4x, both have X's, so you combine them to get x^2 (X squared).

Hope this helped. Good luck on your finals.

The answer is b you’re welcome

Linear relation questions(someone please help I will give brainliest please)

Answers

Answer:

See below

Step-by-step explanation:

#1

Points given:

(4, -6), (-1, 4)

Find the slope using slope formula:

m = (y₂ - y₁)/(x₂ - x₁) = (4 - (-6))/(-1 - 4) = 10/-5 = -2#2

Equation of the line in slope-intercept form:

y = mx + b

Given:

slope, m = -3the y- intercept b = 11

The line is:

y = -3x + 11#3

The y-intercept is the intersection of the line with the y-axis:

b = -1 as per graph

To find the slope select two points and use the slope formula as shown above.

Points (0, -1) and (1, 1), the slope is:

m = (1 - (-1))/(1 - 0) = 2/1 = 2

The line is:

y = 2x - 1

Which of the following equations has the steepest slope?
a) y= 2/3 x+ 4
b) y = 2/5 x + 2
c) y = 3/2 x + 5
d) y = 1/2 x + 1

Answers

D.................................

Whats the slope using Rise/Run?
Thanks

Answers

Answer: 1/4

Step-by-step explanation: Use (y2-y1)/(x2-x1) to find slope. The points are (-1, 1) and (-5, 0). (0 - 1)/(-5+1)= -1/-4 = 1/4

Hope this helps!

Ishmael's stock went up $17 on Thursday and then down $13 on Friday. What was the total change in the value of the stock?.

Answers

Answer:is that subtraction?

Step-by-step explanation:

Anju had 3 (3 / 4) cup of sugar . She used 1 (2 / 3 )cup of sugar to bake a cake . How mush sugar does anju have lift ?

Answers

Answer:

[tex]y=\frac{1}{12} cup\ of\ suger[/tex]

Step-by-step explanation:

From the question we are told that:

Sample size [tex]n=3(3/4)=9/12[/tex]

Amount used [tex]x=1(2/3)=2/3[/tex]

 

Generally the equation for sugar lift [tex]y[/tex] is given as is mathematically given by

 [tex]y=n-x[/tex]

 [tex]y=\frac{9}{12} -\frac{2}{3}[/tex]

 [tex]y=\frac{1}{12}[/tex]

Andre earns 5200 a month at his new job. In order to track his spending and saving, he created a monthly
budget Andre divided his income into five categories and created the following círcle graph to represent the
budget he created for himself. Use this circle graph to answer the following questions.
Monthly Budget
Other
28%
Rent
30%
Savings
189
Groceries
15%
Utilities
9%
How much more money does Andre budget for Groceries and Utilities than he does for Savings?? Show
your work. Write your answer as a dollar amount.

Answers

Answer:

answer is 312.00

Step-by-step explanation:

Trust me I just took the test

Algebra 2 will give points and brainly

Answers

Answer:

Step-by-step explanation:

In the 3rd question, we are given the equation x ^ 3 + x ^ 2 + 2x + 24. One of the factors is x + 3. Now, we can use long division to find that the equation we have left is x^2 - 2x - 8. We can just factor this to get (x - 4) (x + 2). In the 3rd question, possible factors for the coefficient are 1, 2, -1, -2. Possible factors for the constant are 1, 7, -1, -7. Now, we can try out all of them. The possible factors are 1, 7, -1, -7, 2, 14, -2, -14.

Divide the polynomial in the numerator by the monomial in the denominator. Simplify your answer. 20x^5 – 6x^4 + 12x^3 + 12x^2 10x^2​

Answers

Step-by-step explanation:

do u have a picture? its mixed up

Answer:

 2x • (2x2 + 1) • (5x - 3)

Step-by-step explanation:

5.4    Find roots (zeroes) of :       F(x) = 2x2 + 1

Polynomial Roots Calculator is a set of methods aimed at finding values of  x  for which   F(x)=0  

Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers  x  which can be expressed as the quotient of two integers

The Rational Root Theorem states that if a polynomial zeroes for a rational number  P/Q   then  P  is a factor of the Trailing Constant and  Q  is a factor of the Leading Coefficient

In this case, the Leading Coefficient is  2  and the Trailing Constant is  1.

The factor(s) are:

of the Leading Coefficient :  1,2

of the Trailing Constant :  1

Final result :

 2x • (2x2 + 1) • (5x - 3)

36abc + 54ad = ? im struggling with math

Answers

Answer:

18a(2bc+3d)

Step-by-step explanation:

36abc + 54ad = ?

Rewrite as ;

=2*18abc+3*18ad

Factor out common term 18a

18a(2bc+3d)

I HOPE THIS HELPED!!!

❗❗❗PLS I NEED HELP ON THIS I DON'T UNDERSTAND PLS HELP❗❗❗❗❗❗
❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗- UPDATED IMAGE

Answers

where yo mamas attttt , 5-(4)= 23

Need help ASAP please help

Answers

It is B because we wanna find what line goes over the dots better.

Which data are represented by this dot plot a 2 4 0 2 4 6 3 0 7 1 2 7 8 1 1 b 0 1 2 3 4 5 6 7 8 0 1 2

Answers

Answer:

Mean (Average) 4.0384615384615

Median 2.5

Range 24

Mode 1, appeared 5 times

Geometric Mean 0

Largest 24

Smallest 0

Sum 105

Count 26

Step-by-step explanation:

also you put 'b' in the list so i removed that

A cereal company puts a colored ring in each box of cereal. There are 6 different ring colors. The colors of the rings in each of 50 cereal boxes are shown in the table below. Based on the data, what is the probability that the next cereal will contain a blue or yellow ring?

Answers

the probability is unlikely OR 2/6 OR 1/3. it could be any of those! hope this helped :))

Jeans cost $38. The tax is 8% what is the total cost?

Reporting if wrong, please explain.’

Answers

Answer:

$41.04

Step-by-step explanation:

8% = 0.08

38(0.08) = 3.04

$3.04 is the tax for the jeans. Now we just have to add it to the price.

38 + 3.04 = $41.04

Answer:

$41.04

Step-by-step explanation:

0.08 (the tax converted from percentage) x 38 (initial cost) = 3.04(tax amount)

38(initial amount) + tax amount (3.04) = 41.04

the cost after tax is $41.04

understand now? To convert 8% to a decimal just move the decimal to the left twice (because we’re representing out of 100%)

Quando Rondo is a dead man walking

Answers

Answer:

huh? really?

Step-by-step explanation:

:/ thats cool

Answer: yes?

Step-by-step explanation:

During a basketball game, Bari scored 28 points. During the game, Danay scored ¼ of the number of points Bari scored. How many points did Denay score during the basketball game?

Answers

Para calcular isto, temos que dividir 28 por 4, que dá 7. Neste contexto, 7 é 1/4 de 28, o número de pontos marcad .

Resposta: Denay marcou 7 pontos durante o jogo.

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