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

This Diagram Shows a Regular Pentagon

Answers

A= 540


B.=108

Reasoning-540 degrees in a pentagon
540/5
=108

A conclusion that is proved to be true by deductive reasoning is called a theorem.
True
False

Answers

Answer:

True,

Step-by-step explanation:

In math we prove the theorem using known axioms in Math.

Answer: True

Step-by-step explanation:

Find a formula for the nth term
of the arithmetic sequence.
First term 9
Common difference -2

Answers

[tex]n^{th}\textit{ term of an arithmetic sequence} \\\\ a_n=a_1+(n-1)d\qquad \begin{cases} a_n=n^{th}\ term\\ n=\textit{term position}\\ a_1=\textit{first term}\\ d=\textit{common difference}\\[-0.5em] \hrulefill\\ a_1=9\\ d=-2 \end{cases} \\\\\\ a_n=9+(n-1)(-2)\implies a_n=9-2n+2\implies a_n=11-2n[/tex]

4>-x-5 how do I solve for x? With the greater sign

Answers

Answer:

x>-9

Step-by-step explanation:

1. bring x over to the other side to make it a positive (4+x>-5)

2. bring 4 to the other side (x>-5-4)

3. simplify (x>-9)

Questions in the attached file.

Answers

The area of the triangle based on the information given will be 4 units square

How to calculate the triangle?

It should be noted that the area of a triangle is calculated by using the formula:

= 1/2 × base × height

Therefore, the area of the triangle will be:

= 1/2 × base × height

= 1/2 × 2 × 4

= 4 units²

In conclusion, the area of the triangle given will be 4 units square.

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Is anyone here like rlly good at algebra bc im not and I kinda forgot What my teacher told me so-

(b + 516= 1000)

I have no clue what to do so-….

Answers

Answer:

The question is asking you to subtract 516 from 1,000 to find b.

[tex]1,000 - 516 = 484[/tex]

Therefore, b = 484

it would be 484 like what the other person said

What is the 16th term in the following geometric sequence?
5, −10, 20, −40, 80,...

Answers

-163840

Explanation:

The formula to find the nth term for a geometric sequence is

(a1)(r)^n-1

So by plugging in the terms you get

(5)(-2)^16-1 = -163840
Answer: -163840

Step-by-Step Explanation:

As we can see, starting from the first term, every term is repeatedly multiplied by (-2) in order to form this sequence.

1) 5
2) 5 * -2 = -10
3) -10 * -2 = 20
4) 20 * -2 = -40
5) -40 * -2 = 80
6) 80 * -2 = -160
7) -160 * -2 = 320
8) 320 * -2 = -640
9) -640 * -2 = 1280
10) 1280 * -2 = -2560
11) -2560 * -2 = 5120
12) 5120 * -2 = -10240
13) -10240 * -2 = 20480
14) 20480 * -2 = -40960
15) -40960 * -2 = 81920
16) 81920 * -2 = -163840
17) -163840 * -2 =327680

Therefore, 16th Term = -163840

Find the Mean Absolute Deviation (MAD) of the following test scores.

Remember, the Mean is just the first step.

Scores:
{ 48, 61, 73, 76, 76, 74 }

Answers

Based on the calculation below, the Mean Absolute Deviation (MAD) of the test scores is 0.

How to calculate Mean Absolute Deviation (MAD)

The mean of the 6 test scores is first calculated as follows:

Mean = Sum of the test scores / Number of test scores = (48 + 61 + 73 + 76 + 76 + 74) / 6 = 68

We can now calculate the MAD of the test scores as follows:

MAD = Sum of deviations of all the test scores from the Mean / Number of test scores = ((48 - 68) + (61 – 68) + (73 – 68) + (76 – 68) + (76 – 68) + (74 – 68)) / 6 = 0 / 6 = 0

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Determine the intercepts of the line. Do not round your answers. y-6=4(x+5)y−6=4(x+5)

Answers

x-intercept= -13/2
y-intercept=26

Vhich is a solution to the equation?
(x-2)(x + 5) = 18
x= -10
x==7
x=-4
x= -2

Answers

Answer:

see attachment (this needs to be at least 20 characters long)

STATISTICS MATH PLS HELP - In a study of the accuracy of fast food drive through orders, McDonald’s had 33 orders that were not accurate among 362 orders observed. Use a 0.05 significance level to test the claim that the rate of inaccurate orders is equal to 10%.

Answers

Answer:

See below for all information

Step-by-step explanation:

Given Information

Observed Sample Proportion: [tex]p=\frac{33}{362}\approx0.0912[/tex]Hypothesized Population Proportion: [tex]p_0=0.10[/tex]Sample Size: [tex]n=362[/tex]Significance Level: [tex]\alpha=0.05[/tex]We should conduct a two-tailed one-proportion z-test (remember to double the p-value to consider both tails!)Assume conditions are met

Null and Alternate Hypotheses

Null: [tex]H_0:p=0.10[/tex] (this tells us that the actual proportion of inaccurate orders of 10% is equal to the observed proportion of inaccurate orders)Alternate: [tex]H_1:p\neq0.10[/tex] (this tells us that the actual proportion of inaccurate orders of 10% is NOT equal to the observed proportion of inaccurate orders)

Determine z-statistic

[tex]\displaystyle Z=\frac{p-p_0}{\sqrt{\frac{p_0(1-p_0)}{n}}}=\frac{\frac{33}{362}-0.10 }{\sqrt{\frac{0.10(1-0.10)}{362}}}\approx-0.5606[/tex]

Determine p-value from z-statistic

[tex]2\cdot P(Z < -0.5606)=2\cdot\text{normalcdf}(-1E99,-0.5606)\approx2\cdot0.28753\approx0.5751[/tex]

Draw conclusion of p-value based on given significance level

Since [tex]p > 0.05[/tex], we fail to reject the null hypothesis. This means that we do have sufficient evidence to say that the observed rate of inaccurate orders is equal to 10%, making it extremely likely that the null hypothesis is true.

Brad tracks the distance he jogs over 10 days on a line plot. What is the difference between the longest distance he jogged and the shortest distance?

Answers

Answer: D

Step-by-step explanation:

HELP Identify the exponential function shown in the graph

Answers

Answer:

C

Step-by-step explanation:

Points given are
(0,8) and (1, 16)
The first point given is the y-intercept, 8

The y-intercept of A is 2
The y-intercept of B is 16
The y-intercept of C is 8
the y-intercept of D is 16

The only one that works is C

How can you find out the similarities and differences in a non-fiction text?
A. Look at how the characters speak
B. Look at the genre
C. Identify whether the texts present the same facts
D. Look at how the text is written

Answers

Answer:

The answer is choice c. This is because texts present the same facts in fiction or nonfiction life.

Pleaseeee help school ends tmrw

Answers

Answer:

y=3x-23

Step-by-step explanation:

You have to distribute 3 and you get y+5=3x-18 and then move 5 over by subtracting it from each side you get y=3x-23 hope you enjoy your summer!

Answer:

C. y = 3x - 11

Step-by-step explanation:

Combine the y and 3

Add the 5 and 6 to get 11

Write the equation in standard form

The drug Viagra comes in a quantity of 30 tablets with an AWP of $900. The pharmacy has an agreement with the supplier to purchase the drug at the AWP minus 15%. The insurer is willing to pay the AWP less 5% plus a $2.50 dispensing fee. How much profit does the pharmacy make on a prescription for 6 tablets?

Answers

The profit of  5103.5 by making a prescription for 6 tablets.

What is percentage?

Percentage, a relative value indicating hundredth parts of any quantity.

The drug Viagra comes in a quantity of 30 tablets with an AWP of $900.

The insurer is willing to pay the AWP less 5% plus a $2.50

900/TAB = X 30 TABS  =$27000

27000 * (0.05)= $1350

27000-1350.00

=$25650 + $2.50

=25652.5 for 30 tablets

For 6 tablets,

= (25652.5 / 30)*6

= 5103.5

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Niki wants to buy all the fruits as shown on the menu. If she gets a discount of $50 off the cost of the Cherry and $25 each off the remaining fruits, how much will Niki pay after the discounts?

fruit menu
fruits. Quality. cost
1.cherry 11b. $150
2.bananas ¼ doz. $200
3.watermelon. 11b. $125
mangos. each. $ 75



Answers

Answer:

Niki will pay $425 after the discounts.

Step-by-step explanation:

Cherry originally costs 150$, and you can subtract the discount of 50$ from that to get 100$ total for cherries.

Banana originally costs 200$, and you can subtract the discount of 25$ from the original cost to get 175$ total for bananas.

Watermelon originally costs 125$, and after subtracting the discount of 25$, you can determine the total cost for watermelons, which is 100$.

Mangoes originally costs 75$, subtract the discount of 25$, and you get the total for mangoes at 50$.

Add the costs after discounts (100$ for cherry, 175$ for banana, 100$ for watermelon, 50$ for mangoes), and you get 425$, which is the total cost for the fruit after discounts.

find the area of the figure. use 3.14 for pi.
a 133.5
b 188.5
c 149.25
d 94.25

Answers

Answer:

  d.  94.25 in²

Step-by-step explanation:

The area of this composite figure is the sum of the areas of a semicircle and a triangle. Each of those areas can be found using the appropriate formula:

  semicircle: A = (π/2)r²

  triangle: A = 1/2bh

__

semicircle

The semicircle has a radius equal to half its diameter. The radius is (10 in)/2 = 5 in. Its area is ...

  A = (3.14/2)(5 in)² = 39.25 in²

triangle

The area of the triangle with base 11 in and height 10 in is ...

  A = 1/2bh

  A = 1/2(11 in)(10 in) = 55 in²

total area

The area of the figure is the sum of the areas of the semicircle and triangle, so is ...

  figure area = (39.25 in²) +(55 in²)

  figure area = 94.25 in²

can someone answer this question- I will give brainily if it is correct.

Answers

Answer:

A

Step-by-step explanation:

since decimals are 10ths and 100ths places, you can translate such into fractions

hope this helps:)

The Answer For This Question Would Be “5 8/100.”

PLEASE I NEED HELP ASAP!!!!!!!!
Note: please add the answer next to the number its from so I can know which question was answered

Answers

Question 1: Option BQuestion 2: [tex]k[/tex] ≤ [tex]1[/tex]

Answer:

B, B

Step-by-step explanation:

< less than

> Greater Than

If it has a line under it it is equal too as well as greater or less.

The close dot means equal too and the open mean not equal to

What is the asymptotes of the graph.

Answers

Answer:

Choice B: x = 2, y = 1.

Step-by-step explanation:

Jerry boards a Ferris wheel from the bottom of the wheel (the 6 o'clock position) and the Ferris wheel rotates counterclockwise. The center of the wheel is 30 feet from the ground and the radius if the wheel is 25 feet.

Using a sine function, describe a function g that represents the height above the ground (in feet) in terms of the time since the Ferris wheel began rotating if the Ferris wheel rotates at a speed of 2 radians per second.

O9(0)-25 cos(+)+30

Og(t)- 25 sin(2t - )+30

Og(t)- 25 sin(+)+30

Og(t)- 25 cos (2+)+30

Answers

function g that represents the height above the ground (in feet) in terms of the time since the Ferris wheel began rotating if the Ferris wheel rotates at a speed of 2 radians per second is g(t) = 25cos(2t) feet+30

What is angle?

An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.

The height g(t) above the center after t minutes is given by

g(t) = 25cos(r(t))

g(t) = 25cos(2t) feet+30

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Sue is traveling to Florida for vacation. Her flight takes off and the plane travels at a constant speed of 337 miles per hour. It takes her 5 hours to get to her destination. How many miles did she travel?



PLEASE HELP!!!

Answers

Answer:

Sue traveled 1,685 miles.

Step-by-step explanation:

337 x 5

(300 x 5) + (30 x 5) + (7 x 5)

1,500 + 150 + 35

1,650 +35

1,685

The diagram below shows an angle, 0, graphed in the xy-coordinate plane. The segment RT is the initial side of the
angle, and segment RM is the terminal side. Segments RT and RM are radii of the unit circle centered at the origin
R(0,0).
T
R
M
The x-coordinate of point M is. What is the coordinating sine value for this angle of rotation?
SET

Answers

The coordinating sine value for this angle of rotation will be 4.189.

How to calculate the angle?

From the complete information, in the unit circle, there's a point with -1/2 and the x value is 240°.

In this case, the coordinating sine value for this angle of rotation will be:

= (240 × π)/180

= (240 × 3.142) / 180

= 4.189

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how do I solve this?​

Answers

The answer is B because the most common number is 70’s and the line is right there
the correct answer is : b

A plumber fixed a leaky sink and charged $55 for parts and $45 per hour for labor. If the total bill was $190, how many hours did the plumber spend fixing the sink?

Answers

The plumber spend 3 hours to fixing the sink if the plumber fixed a leaky sink and charged $55 for parts and $45 per hour for labour.

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

Let's suppose the plumber spend x hours to fixing the sink.

Then we can frame a linear equation in one variable:

55 + 45x = 190

45x = 135

x = 3 hours

Thus, the plumber spend 3 hours to fixing the sink if the plumber fixed a leaky sink and charged $55 for parts and $45 per hour for labour.

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11. One card is drawn from an ordinary deck of 52 cards. Find the probabilities of drawing the following.
(a) A heart or a black card
(b) A heart or a jack
(c) A heart and the ace of clubs
(d) A 9 or a jack
(e) The 9 of hearts or a jack

Answers

Answer:

3/44/137/262/135.52

Step-by-step explanation:

(a)

Probability (A heart or a black card) = 13 + 26 / 52Probability (A heart or a black card) = 39/52Probability (A heart or a black card) = 3/4

(b)

Probability (A heart or a jack) = 13 + 3 / 52Probability (A heart or a jack) = 16/52Probability (A heart or a jack) = 4/13

(c)

Probability (A heart and the ace of clubs) = 13 + 1 / 52Probability (A heart and the ace of clubs) = 14/52Probability (A heart and the ace of clubs) = 7/26

(d)

Probability (A 9 or a jack) = 4 + 4 / 52Probability (A 9 or a jack) = 8/52Probability (A 9 or a jack) = 2/13

(e)

Probability (The 9 of hearts or a jack) = 1 + 4 / 52Probability (The 9 of hearts or a jack) = 5/52

Please answer for me, image below. Thanks!

Answers

Answer: ya were right its 135

Step-by-step explanation:

we kno that QRS is 180 degrees.

so to get QRT we subtract 45 from 180.

180 - 45

135


ya were right

Answer:

135

Step-by-step explanation:

QRT and TRS add to 180

180-45=135

valuate if x = 2 and y = 6 4x + 5y

Answers

Answer:

38

Step-by-step explanation:

4(2)+5(6)

=8+30

The answer=38

Chihuahua ccfyi case sweet

Start with 360. Increase by 15%.
Start with 480. Decrease by 10%.

Answers

Answer:

414432

Step-by-step explanation:

Problem 1

Start with 360

360

Increase by 15%

⇒ 360 (1 + 15%)

⇒ 360 (1 + 0.15)

⇒ 360 (1.15)

414

Problem 2

Start with 480

480

Decrease by 10%

⇒ 480 (1 - 10%)

⇒ 480 (1 - 0.1)

⇒ 480 (0.9)

432

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Kites have a small head, a short beak and long narrow wings and tail. Kites can be found all over the world in mostly warm regions. Kites live on a variety of preyfrom insects to small rodents or reptiles. Some kites eat only one kind of prey. Kites are generally masterful in the air and represent a group of birds that are among the most acrobatic of fliers.Two of the most familiar kites in the Southern United States are the swallow-tailed kite and the Mississippi kite. The Mississippi kite is rather plain to look at: a light brown and gray body with a buff or white colored head. But to watch a Mississippi kite fly is to watch a ballet in the air. These raptors eat primarily flying insects, so they do most of their hunting on the wing. As you might imagine, catching flying insects requires a great deal of agility and speed. If you are lucky enough to see one in flight, you will be amazed at the quick turns, graceful moves, and speedy pursuits of this bird. 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