Find cot(theta) if tan(theta)=2 and 180°<(theta)<270°. ( 20 POINTS ) (Trigonometric Identities )

Answers

Answer 1

Answer:

Cot theta = 0.2

Step-by-step explanation:

[tex]180^\circ < \theta < 270^\circ[/tex]

So, theta is in the third quadrant

[tex]Cot \ \theta =\dfrac{1}{Tan \ \theta}\\[/tex]

         [tex]= \dfrac{1}{2}[/tex]

[tex]\sf Cot \ \theta = 0.5[/tex]


Related Questions

The art club had an election to select a president.


​75\%75% of the 6060 members of the club voted in the election.

​How many members voted?

Answers

Answer:

45

Step-by-step explanation:

Subtract 60 from 75% and multiply the answer.

Find the value of sin E rounded to the nearest hundredth, if necessary.

Answers

Answer:

Step-by-step explanation:

using sin formula

[tex]\frac{sin~E}{15} =\frac{sin ~90}{39} \\sin ~E=15 \times ~\frac{1}{39} =\frac{5}{13}[/tex]

Convert: 92 ounces = _____ pounds _____ ounces







9 pounds 2 ounces
5 pounds 2 ounces
1,472 pounds 0 ounces
5 pounds 12 ounces

Answers

Answer:

5 pounds and 12 ounces.

Step-by-step explanation:

Divide it all by 16, and you should get 5 with a remainder of 12 (which is the remaining ounces). Hope it helps ! ^_^

Answer:

5 pounds 12 ounces

Step-by-step explanation:

I copied the other answer

Can someone help me please!!!

Answers

Answer:

5. is 18 your welcome

Step-by-step explanation:

what is the positive solution of 3x^2-10-8=0?

Answers

Answer:

x=4

Step-by-step explanation:

I'm going to assume the question has a typo and that the question is actually [tex]3x^2 -10x-8=0[/tex].

You can simplify this to:

[tex](3x+2)(x-4)=0[/tex]

This leaves the solutions [tex]x=-\frac{2}{3}[/tex] and x=4

The only positive solution therefore is x=4

Answer:

The answer is 4

Step-by-step explanation:

Use the improved quadratic formula (https://socratic.org/algebra/quadratic-equations-and-functions/quadratic-formula)

D=d^2=b^2-4ac=100+96=196⇒d±14

There are 2 real roots: x=-b/2a±d/2a=10/6±14/6=5/3±7/3

The positive real root is : 12/3=4

1. From where do we get fibre?​

Answers

Answer:

Grain, fruit, and vegetables are where natural fibers are found.

Which expression is equivalent to the following complex fraction?

1 minus StartFraction 1 Over x EndFraction divided by 2
StartFraction x minus 1 Over 2 x EndFraction
Negative one-half
StartFraction 2 x minus 2 Over x EndFraction
StartFraction 2 x Over x minus 1 EndFraction

Answers

The complex fraction is

[tex]\\ \rm\Rrightarrow \dfrac{1-\dfrac{1}{x}}{2}[/tex]

On comparing

[tex]\\ \rm\Rrightarrow \dfrac{\dfrac{x-1}{x}}{2}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{2(x-1)}{x}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{2x-2}{x}[/tex]

Middle one

Answer:

It is A.) x-1 / 2x

Step-by-step explanation:

correct on edge

A rectangular room has a length of 16 ft and a diagonal of 22 ft. What is the approximate
width of the room?

Answers

Answer:

no

Step-by-step explanation:

Answer: 15.09967ft

Step-by-step explanation: w=d2﹣l2=222﹣162≈ hope this helps ^^

Find two pairs of integers whose product is -20.

Answers

Answer:

-10 x 2 and -5 x 4

Step-by-step explanation:

An integer is a number that must be whole and can either be negative or positive. The product is the total value from multiplying values.

Applicable equations:

-10 x 2 = -20

10 x (-2) = -20

-5 x 4 = -20

5 x (-4) = -20

-1 x 20 = -20

1 x (-20) = -20

Jack invests money in an account paying a simple interest of 7.1% per year. If mm represents the amount of money he invests, which expression represents his balance after a year, assuming he makes no additional withdrawals or deposits?

m+0.071m+0.071

1.0071m1.0071m
1+0.071m1+0.071m
m+0.071mm+0.071m

Answers

The balance after a year will be represented by an expression m + 0.071m.

What is an expression?

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.

Given that:-

Jack invests money in an account paying a simple interest of 7.1% per year.

The total amount will be calculated as:-

Total amount = Principle + interest rate x priciple

Total amount  = m  +   0.071m

Therefore the balance after a year will be represented by an expression m + 0.071m.

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What is the value of x in the solution to this system of equations?

Answers

Answer:

x = 10/3

Step-by-step explanation:

3x = 2y + 14

y = -6x + 18

3x = 2(-6x+18) + 14

3x = -12x + 36 + 14

15x = 50

x = 50/15

x = 10/3

Answer:

10/3

Step-by-step explanation:

3x= 2y+14-------(1)

y= -6x+18------(2)

from equation (2) put y= -6x+18 into equation (1)

3x= 2(-6x+18)+14

3x= -12x+36+14

3x+12x= 50

15x= 50

dividing bothsides by 16

x = 50/15

x= 10/3

67/100 simplificado
1/4 simplificado​

Answers

[tex] \sf{La \: \: fracción \: \: \dfrac{67}{100} \: \: no \: \: es \: \: posible \: \: reducir.}[/tex]

A la igual que la otra Operación:

[tex] \sf{La \: \: fracción \: \: \dfrac{1}{4 } \: \: no \: \: es \: \: posible \: \: reducir.}[/tex]

Ninguna tiene factores comunes.

Espero que te sirva, salu2!!!!

The fraction 67/100 It cannot be simplified.

It cannot be simplified since the numerator is greater than or equal to the denominator of a fraction, it is called an improper fraction. In that case, it cannot be converted to a whole number or a mixed fraction.

The fraction 1/4 Nor can it be simplified.

Since If the numerator is greater than or equal to the denominator of a fraction, it is called an improper fraction. In that case, it cannot be converted to a whole number or a mixed fraction.

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What is the equation of the line written in slope-intercept form that passes through the point (-1, 5) and is parallel to the line y = -2x – 5?

Answers

Answer:

Step-by-step explanation:

y - 5 = -2(x + 1)

y - 5 = -2x - 2

y = -2x + 3

How many fluid ounces are there in 3 pints and 8 fluid ounces?

Answers

Answer:

56

Step-by-step explanation:

((3*2)+1)*8

Answer:

1 pint equals 16 ozs. so the answer in 48

Find the value of y…

Answers

Answer:

     y = 94

Step-by-step explanation:

Linear Pair:

The two adjacent angles whose non common arms form a straight line is called linear pair. They add up to 180

2x + 36 = 180 {linear pair}

       2x  = 180 - 36

       2x = 144

        2x = 144°

Sum of all angles of a n-sided polygon = (n-2)*180

                                                                 = ( 6-2)*180

                                                                 = 4 * 180

                                                                  = 720

y + 144 + 111 + 105 + 165 + 101 = 720

                                  y + 626  = 720

                                             y = 720 - 626

                                            [tex]\sf \boxed{y = 94^ \circ}[/tex]

Answer:

94°

Step-by-step explanation:

2x + 36 = 180 (angles on a straight line)

2x = 180 - 36

2x = 144

2x = 144°

Sum of all angles of a n-sided polygon = (n-2)×180 = ( 6-2)×180

= 4 × 180

= 720

y + 144 + 111 + 105 + 165 + 101 = 720

y + 626 = 720

y = 720 - 626

y=94 °

Communicate Precisely: Suppose the numbers on the clock face are removed.
Write instructions that another person could follow to move the minute hand from 2 to 6.

Answers

In order to move the minute hand from 2 to 6 first move 60 degrees clockwise then 120 degrees clockwise.

What is a circle?

It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)

We have:

On a clock, numbers 1 to 12 are printed on it.

If numbers on the clock face are removed.

As we know, the clock is a circle and has a total angle of 360 degrees.

Angle between the two numbers = 360/12 = 30 degree

Then the following instructions have to be followed in order to move the minute hand from 2 to 6:

Set the minute hand vertically up.Move 60 degrees in a clockwise direction, it will be on number 2.Now move 120 degrees in a clockwise direction, it will indicate the number 6.

Thus, in order to move the minute hand from 2 to 6 first move 60 degrees clockwise then 120 degrees clockwise.

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I need help please ASAP??!!

Answers

Answer:

i got you the answer is .....

Step-by-step explanation:

there you go

Triangle ABC is similar to triangle DEF.

a. Find the scale factor from triangle ABC to triangle DEF.

b. Find x.

c. Find y.

Answers

Answer: x=7.7, y=40

3/x = 15/38.5

38.5*3=115.5

115.5/15= 7.7

x=7.7


3/8 = 15/y

15*8=120

120/3= 40

y=40


orrrr you can just easily find the scale factor which is 5, multiply 8 by 5 and get 40. And 38.5/5 which is 7.7

Paul reads on a map that 1 inch represents 7 miles. He measures the distance between two spots to be 8.5 inches. What is the real distance?

Answers

Answer:

59.5 miles

Step-by-step explanation:

1 in = 7 mi

7 x 8.5 = 59.5

Please help need urgent

Answers

Convert the cm to feet for the base and the height:

12/2 = 6 x 3 = 18 feet

9/2 = 4.5 x 3 = 13.5 feet


area = 1/2 x base x height

Area = 1/2 x 18 x 13.5

Area = 121.5 square feet


answer: 121.5 square feet

can anyone help plssss??

Answers

Answer:

42 degrees

Step-by-step explanation:

48+90=138

180-138=42

Find the lateral area and surface area of the regular square pyramid.
Round to nearest tenth.

Answers

Answer:

Step-by-step explanation:

lateral edge is an edge from the base to the vertex. As opposed to a base edge.

If the base edge is 6, the base diagonal is 6√2

Now draw a right triangle from the center of the base to the vertex, including one base corner.

(6√2/2)^2 + h^2 = (√34)^2

18 + h^2 = 34

h = 4

So, now we have height 4 and base edge 6, so the faces are triangles with

base = 6

height = √(3^2 + 4^2) = 5

lateral area is thus 4 * 1/2 (6)(5)

add the square base if desired.

Will give brainliest.

Answers

Answer:

Im pretty sure its "A. 6"!

Have a nice day! :)

The ages of Charlotte and Olivia are in the ratio 6:10. After 10 years, their ratio will become 4:6. Find their ages.

Answers

Answer:

Charlotte's age = 30 years

Olivia's age = 50 years

Step-by-step explanation:

Present ages of Charlotte & Olivia = 6:10.

Then, their present ages are:

Charlotte = 6x

Olivia = 10x

Now, in 10 years, their ratio = 4:6

Then,

Ratio of Charlotte's & Olivia's present age + 10 years each = Ratio of their ages in 10 years

[tex]\frac{6x + 10}{10x + 10} = \frac{4}{6} \\6(6x + 10) = 4 (10x + 10) \: \: \: \: [\mathrm{cross\: multiplication}]\\36x + 60 = 40x + 40\\36x - 40x = 40 - 60\\4x = 20\\\boxed{\bf\:x = 5}[/tex]

So,

Charlotte's present age [tex]= 6x = 6(5) = {\boxed{\bf\:30 \:years}[/tex]

Olivia's present age = [tex]10x = 10(5) = \boxed{\bf\:50 \: years}[/tex]

[tex]\rule{150pt}{2pt}[/tex]

use the graph of f to solve for f(x)= -3 for x

Answers

Answer:

b

Step-by-step explanation:

Points J, Q, K, and l are on the given circle. If Arc KL measures 120 degrees, and Angle KML measures 98 degrees, what is the measure of Arc JQ?

Answers

The value of the measure of Arc JQ from the given task content is; 142⁰.

What is the measure of Arc JQ?

The measure of Arc JQ can be evaluated by establishing a fact that; the total angle measure in a circle by convention is; 360⁰.

On this note, it follows that the measure of Arc JQ is; 360 - 120 - 98 is; 142.

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If you complete the square in the quadratic equation ​, you get the quadratic formula for the solutions x ​_______.

Answers

Answer:

[tex]D. \ \ x=\frac{-b\pm \sqrt{b^{2}-4ac} }{2a}[/tex]

Step-by-step explanation:

ax² + bx + c = 0

[tex]a\left( x^{2}+\frac{b}{a} x+\frac{c}{a} \right) =0[/tex]

[tex]a\left( \left( x+\frac{b}{2a} \right)^{2} -\frac{b^{2}}{4a^2}+\frac{c}{a} \right) =0[/tex]

[tex]a\left( \left( x+\frac{b}{2a} \right)^{2} -\frac{b^{2}-4ac}{4a^2}\right) =0[/tex]

[tex]a\left( x+\frac{b}{2a} \right)^{2} -\frac{b^{2}-4ac}{4a}=0[/tex]

[tex]a\left( x+\frac{b}{2a} \right)^{2} =\frac{b^{2}-4ac}{4a}[/tex]

[tex]\left( x+\frac{b}{2a} \right)^{2} =\frac{b^{2}-4ac}{4a^2}[/tex]

[tex]x+\frac{b}{2a} =\frac{\pm \sqrt{b^{2}-4ac} }{2a}[/tex]

[tex]x=\frac{-b\pm \sqrt{b^{2}-4ac} }{2a}[/tex]

2 How many 1.2-kg books can you pack into a suitcase so that the total weight does not exceed 36 kg?​

Answers

Answer:

30 books

Step-by-step explanation:

36 / 1.2 = 30

You can pack 30 books and it will not exceed 36 Kg.

- - -

Side Note:

We don't know how heavy the suitcase is...

Pls help me with this

Answers

Let's find the area!!

«------«----------»----------»

2 × 5 + 2 × 5 + 3 × 210 + 10 + 620 + 626

«------«----------»----------»

Therefore, your answer is D. 26cm^2!!!!!

need help with my aleks

Answers

Answer:

Below in bold,

Step-by-step explanation:

The angles in a triangle add up to 180 degrees.

So the equation is:

7x + 8 + 4x + x + 4 = 180

12x + 12 = 180  <-------- Required equation

12x = 168

x = 14.

m< L = 14 + 4 = 18 degrees

m< M = 7(14) + 8 = 106 degrees

m< N = 4(14)= 56 degrees

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