Solve tan^2 theta + 1 = -2 tan theta on the interval 0° ≤ θ ≤ 360°.

Answers

Answer 1

Answer:

Step-by-step explanation:

[tex]tan^2 \theta+1=-2 \tan \theta \\tan^2 \theta +2 tan \theta +1=0\\(tan \theta+1)^2=0\\tan \theta=-1=-tan 45=tan (360-45)=tan 315\\\theta =315 ^\circ[/tex]


Related Questions

Please answer correctly !!!!!!! Will mark brainliest answer !!!!!!!!!!!!

Answers

Answer:

Its A

Thats because if you draw it then you will find that the vertex is 8, -8

A,

(8, -8)

THANKS FOR GIVING BRAINLIEST

what is 1.8 increased by 10 to make a new mean

Answers

Answer:

18

Step-by-step explanation:

1.8*10= 18/10*10=180/10=18

The equation shows the relationship between x and y:

y = −9x + 5

What is the slope of the equation?

−14
−9
−4
5

Answers

Answer:

-9

Step-by-step explanation:

for linear equations, the show off the line is the coefficient of x.

in this case, the slope would be -9

Describe the solution of g(x) shown in the graph. parabola opening down passing through 0 comma 2, negative 1.5 comma 4.25, and negative 3.5 comma 0 All real solutions All negative solutions All whole number solutions All solutions that lie on g(x)

Answers

Answer:

(A)All real solutions

Step-by-step explanation:

Given the function g(x) shown on the graph

One of the points of the parabola is  (-3.5, 0).

The point x=-3.5 is one of the solution of the parabola since it intersects the x-axis at that point.

The other point of intersection is on the positive side between 0 and 1.

Therefore, g(x) has two solutions: One negative real number and one positive real  number.

Therefore, g(x) has all real solutions.

The correct option is A.

Answer:

All solutions that lie on g(x)

Step-by-step explanation:

I took the test and that's the correct answer...

How do you know when to rewrite square trinomials and difference of squares binomials as separate factors? How can sums and differences of cubes be identified for factoring?

Answers

Answer: I answered most of your question below

Step-by-step explanation:

Well in basic high school math, you prolly will never HAVE to factor square binomials. It becomes more of an issue when you take the limit, and there is a zero in the denominator and blah blah.

But to answer your question. You can pretty much factor any trinomial with the basic rule. Sometimes youll have to complete the square because the trinomial wont be factorable until then. The main use of factoring trinomials tho is to find the value of x. Most trinomials usually equal 0 when youre in high school math. So you factor and make both equations equal 0. Another case where you might need to factor is when you are dividing a trinomial by a binomial. You can factor the numerator and denominator and potentially cross out two terms that divide to equal 1. Overall, its really helpful.

I never really felt the need to actually factor square binomials. Its the thing like a^2 - b^2 = (a + b)(a - b), right? Its basically the same thing with what i said about the dividing stuff. One of those terms might be the exact same as one of the terms from the factored trinomial. Then you can cross out two entire terms

A trinomial is an expression that has three terms.

Square trinomial

A square trinomial is simply a perfect square trinomial, and it is represented as:

[tex]\mathbf{a^2 + 2ab + b^2 = (a + b)^2}[/tex]

Difference of square binomials

This is easily identified because, the terms of the square binomials are perfect squares.

The difference of square binomials is represented as:

[tex]\mathbf{a^2 - b^2 = (a + b)(a - b)}[/tex]

Sums and difference of cubes

When cubes are added or subtracted, they can be expressed using the following

[tex]\mathbf{a^3 + b^3 = (a + b)(a^2 - ab + b^2)}[/tex] --- sum of cubes

[tex]\mathbf{a^3 - b^3 = (a - b)(a^2 + ab + b^2)}[/tex] --- difference of cubes

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Can someone help me ?

Answers

Answer:

-2

-1

Step-by-step explanation:

The y-intercept is the point on the y-axis intersected by the graph.

y-intercept is -2

The x-intercept is the point on the x-axis intersected by the graph.

x-intercept is -1

Answer:

see below

Step-by-step explanation:

The x intercept is where it crosses the x axis

It crosses at x = -1

(-1,0)

The y intercept is where it crosses the y axis

It crosses at y = -2

(0,-2)

12) The sum of two natural numbers is 30. If one of the numbers is one-
fifth of the other, then what is the product of both the numbers?
a) 5
b) 25
c) 30
d) 125​

Answers

Answer:

D.) 5 x 25 = 125

Step-by-step explanation:

The two numbers are 25 and 5. If you take 1/5 of 25, or simply divide by 5, you will get 5.

Answer:

A) X + Y = 30

B) X = .2Y OR X - .2Y = 0

We subtract B) from A)

1.2Y = 30

Y = 25  X = 5

X * Y = 125

Answer is d.) 125

Step-by-step explanation:

75
Which expression is equivalent to
72?
(7.5) (7.2)
(7-7-7-7-7) (7.7)
7.5
7.2
7.7.7.7.7
7.7

Answers

Answer:b

Step-by-step explanation:

Answer:

its b on edg 2020.

Step-by-step explanation:

i got it right :)

GIVE ME THE COORDINATES!!!

Answers

Answer:

(0,1)

Step-by-step explanation:

The solution to a system of equations is where the two lines intersect. Algebraically, you could solve this by setting the equations equal to each other.

I hope this helps!

How many terms does the polynomial x² + xy y2 have?
1 term
2 terms
3 terms
4 terms

Answers

Answer:

Step-by-step explanation:

x^2 + xy + y^2 has 3 terms they are:

x^2,   xy, and y^2

hope it helps

plz mark as brainliest!!!!!!!!!!

The polynomial x²+xy+y² has 3 terms. Option C is correct.

What exactly is a polynomial?

A polynomial is an algebraic statement made up of variables and coefficients.

Variables are sometimes known as unknowns. We can use arithmetic operations like addition, subtraction, and so on. However, the variable is not divisible.

Given polynomial;

⇒x²+xy+y²

The three terms are as follows;

xy

The polynomial x²+xy+y² has 3 terms.

Hence, option C is correct.

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(URGENT) Madelina wants to make a prediction using a linear model with a correlation coefficient of 0.55.

Which statement best describes how accurate she can expect her prediction to be?


Her prediction will probably be close to the actual value.

Her prediction will be unlikely to be close to the actual value.

Her prediction will be somewhat likely to be close to the actual value.

Her prediction will very likely be close to the actual value.

Answers

Answer:

Her prediction will be somewhat likely to be close to the actual value.

Step-by-step explanation:

A correlation coefficient of 0.55 implies a weak positive correlation, because it's close to 0.50. Remember that strong correlations are 1 or -1, positive or negative, and the middle of the interval represents no correlation.

Having said that, 0.55 indicates some correlation, but weak. Therefore, the right answer is C.

Her prediction will be somewhat likely to be close to the actual value.

We have given that,

Madelina wants to make a prediction using a linear model with a correlation coefficient of 0.55.

We have to determine the correct statement.

What is the correlation coefficient?

The correlation coefficient is a statistical measure of the strength of the relationship between the relative movements of two variables.

A correlation coefficient of 0.55 implies a weak positive correlation because it's close to 0.50. Remember that strong correlations are 1 or -1, positive or negative, and the middle of the interval represents no correlation.

Having said that, 0.55 indicates some correlation, but weak.

Therefore, the right answer is C.

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Mrs. Quotient asked her students to simplify each of the expressions below. Which of the numbered choices represents the expressions which simplified to the same result? A 71 B 72 C 73

Answers

Answer:

A and B

Step-by-step explanation:

Mrs. Quotient asked her students to simplify each of the expressions below. Which of the numbered choices represents the expressions which simplified to the same result? A 126/2 B 23 × 3 C 3 × 21

When simplifying an algebraic expression, the following steps are needed to be taken.

Firstly, remove parenthesis by multiplying the constant with the term in the parenthesis or remove parenthesis using exponent rules for parenthesis in exponent form.

Secondly Combine terms by adding coefficients of terms with the same order and lastly sum all constant.

A) 126/2

Applying the division rule give:

126/2 = 63

B) 23 × 3

Applying multiplication rule gives:

23 × 3 = 69

C) 3 × 21

Applying multiplication rule gives:

3 × 21 = 63

Both the results of expression A and expression B are simplified to the same result

PLEASE ANSWER FAST A die is rolled 200 times with the following results. Outcome 1 2 3 4 5 6 Frequency 32 36 44 20 30 38 What is the theoretical probability of the given event? P(even) a. One-third c. 1 b. One-half d. StartFraction 3 Over 7 EndFraction Please select the best answer from the choices provided A B C D

Answers

Answer:

a is my end result. hope that was right

The theoretical probability of rolling an even number is one-half.

Option B is the correct answer.

What is probability?

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

Example:

The probability of getting a head in tossing a coin.

P(H) = 1/2

We have,

To find the theoretical probability of rolling an even number, we need to determine how many of the 6 possible outcomes are even.

In this case, we have 3 even outcomes: 2, 4, and 6.

Therefore, the probability of rolling an even number on a fair die is:

P(even) = number of even outcomes / total number of outcomes

P(even) = 3 / 6

P(even) = 1/2

Thus,

The theoretical probability of rolling an even number is one-half.

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You are participating in a walk-a-thon. Donors can pledge a certain amount of money
for each mile that you walk, or a fixed amount that doesn't depend on how far you walk, or both
The table gives the amounts pledged by three donors.
a. Write an equation for each donor in the boxes below.
Donor
Amount
Fixed Amount
Per Mile
Equation
Jenna
None
$35
Camille
$5
None
Leila
$3
$15
b. You end up walking 18 miles.
Which donor donated the greatest amount of money and how much was it?

Answers

b because you end up actually walking 18 miles .

Please answer correctly !!!!!!! Will mark brainliest !!!!!!!!!!!

Answers

Answer & Step-by-step explanation:

In the problem, we are given an equation. h(t) = -20 + 11t

In the equation, t represents an unknown value. So, if we are given a number that is in the replacement of t, then we can plug that number in to where t is at.

t = 11

h(11) = -20 + 11(11)

h(11) = -20 + 121

h(11) = 101

So, h(11) is equal to 101

Answer:

101

Step-by-step explanation:

h(t)= -20+11t

h(11)= -20+11(11)

h(11)= -20+121

h(11) = 101

Una fábrica mando a hacer recipientes que están formando por un cilindro y un cono unidos por la base, el volumen es de 41.86cm3, si el radio es de 2cm ¿cual es el largo del recipiente?

Answers

Answer: Suponiendo que la altura del cono y la del cilindro son iguales.

[tex]\pi r^2\times h+\frac{1}{3} \pi r^2\times h=41.86\\\pi (2)^2\times h+\frac{1}{3} \pi (2)^2\times h=41.86\\\\Solving\;for\;h\\h=2.49833[/tex]

how many 1/2’s are in 5 and 3/4’s

Answers

Answer:

11 and a 1/2

Step-by-step explanation:

I'm not sure if this is correct but here is my reasoning....

per every 1 there are two 1/2's so multiply 5x2 to get 10.

next, 1/2 is equivelent to 2/4 so subtract 3/4-2/4 (adding another 1/2 to our previous answer of 10 to get 11) and you have 1/4 left.

lastly, since 1/4 is half of 1/2, add 1/2 to 11 to get the final answer of 11 and a 1/2.

there are 11 and a half 1/2's in 5 and 3/4.

help pls!


A gumball machine contains three yellow, eight blue, and six pink gumballs. What is the probability that the next gumball that comes out will be neither yellow nor blue?

show work pls

Answers

Answer:

the probability that the next gumball that comes out will be neither yellow nor blue = 6/17

Step-by-step explanation:

neither yellow nor blue gumball = pink gumball = 6

3 yellow + 8 blue + 6 pink = total =17

the original price of a computer is $935.00 if the price of the computer is increased by 7% what is the new price

Answers

Answer:

$1000.45 is the new price.

Step-by-step explanation:

The fastest way in which to answer this question is to multiply $935.00 by 1.07.  That ".07" comes from "7%."

1.07($935.00) = $1000.45 is the new price.

HOW DO I FIND THE AREA OF DEF?

Answers

Answer:

169.7

Step-by-step explanation:

first lets find the other side of the small triangle

cos(30 degrees)=(7*sqrt (3))/x

x*cos(30 degrees)=7*sqrt (3)

x=(7*sqrt (3))/cos(30 degrees)

x=14

14/14=1

so proportion is 1/1

thus the bottom the outer part of the triangle is also 7*sqrt(3)

now, for the area

lets find the 2 side length of the triangle we need

DE: 14+14=28

DF: 7*sqrt(3)+7*sqrt(3)=14*sqrt(3)

let's find EF,

sin(30 degrees)=x/28

x/28=sin( 30 degrees)

x=28*sin( 30 degrees)

x=14

A=(14*sqrt(3))*14*0.5

A=(14*sqrt(3))*7

A= around 169.7

Answer:

≈169.7

Step-by-step explanation:

cos30 = (7[tex]\sqrt{3}[/tex])/x

x= (7[tex]\sqrt{3}[/tex])/cos30 = 14

h = 14+14 = 28

sin30 = EF/28

EF = sin30 * 28 = 14

tan30 = 14/DF

DF = 14/tan30 ≈ 24.248

Area = 24.248*14/2 ≈ 169.74 ≈ 169.7

a wedding ring costs £13000. Work out the price after a 11% increase

Answers

when £13000 is increased by 11% the new value becomes to £14430

Answer:

14430 pounds

Step-by-step explanation:

Given that:

cost of ring: 13000

percentage increase: 11%

So, to find the new cost, we have to find the increase cost, in pounds:

11 / 100 times 13000 = 1430 pounds.

NOW to calculate the new cost, we add the increase cost to the original:

13000 + 1430 = 14430

Please mark brainiest

What is angle m 2 ? What is angle m 1?

Answers

Answer:

Angle measure two is equal to 75º and Angle measure one is equal to 105º

Step-by-step explanation:

I know this because angle one is alternate exterior angle with angle 7 and angle seven forms a staight line with angle 75 so to find angle 7 you have to do 180-75 and that would equal 105.

for angle two it is interior angles with angle 75 so this means that are congruent angles which means they both have the same measure

Answer: <2 is 75 degrees & <1 is 105 degrees

Step-by-step explanation:

An urn contains 7 pink and 5 black balls. Four balls are randomly drawn from the urn in succession, with replacement. That is, after each draw, the selected ball is returned to the urn. What is the probability that all 4 balls drawn from the urn are pink? Round your answer to three decimal places.

Answers

Answer:

.116

Step-by-step explanation:

7 pink and 5 black balls. = 12 balls

P( pink) = pink balls/ total = 7/12

replace

P( pink) = pink balls/ total = 7/12

so  this is true for each case

P( pink, pink, pink, pink) = 7/12*7/12*7/12*7/12 = 2401/20736

                                        =.115788966

To 3 decimal places

.116

Can someone help with this? I don't understand how to do it.

Answers

Answer:

(x+6)² = 13

Step-by-step explanation:

(x+6)2=13

Explanation:

is x^2 + y^2 = 5 a function

Answers

Answer:

No it is not a function.

Step-by-step explanation:

Answer:

No. This is NOT a function.

Step-by-step explanation:

Solve for x.
8x - 4 = 2x - 3

Answers

8x-4=2x-3  

One solution was found :

                  x = 1/6 = 0.167

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    8*x-4-(2*x-3)=0  

Step by step solution :

Step  1  :

Solving a Single Variable Equation :

1.1      Solve  :    6x-1 = 0  

Add  1  to both sides of the equation :  

                     6x = 1

Divide both sides of the equation by 6:

                    x = 1/6 = 0.167

One solution was found :

                  x = 1/6 = 0.167

i am not solving for x i am solving for you lol!!!

Which of the following best describes the type of probability used in the
scenario below?
Rhea randomly drew a marble out of a bag of marbles, then put it back. She did this 21 times. Of the 21 times, she drew a yellow marble 7 times. She concluded that the probability of drawing a yellow marble was 1/3

A. Theoretical
B. Random
C. Unpredictable
D. Empirical

Answers

Awnser is C. Random cuz thats how i chose this answer... its was random

What is the measure of angle Q to the nearest whole degree?
43°
49°
53°
58°

Answers

Answer:

m∠Q ≈ 53°

Step-by-step explanation:

To find the measure of ∠Q, the law of cosines will need to be used. Lowercase letters represent the side lengths, while upper case letters represent angles.

In this situation, 'A' will be ∠Q. Therefore:

17² = 18² + 20² -2(18)(20)cosQ

Simplify:

289 = 324 + 400 -2(360)cosQ

Continue simplifying down:

-435 = -720cosQ

Divide both sides by '-720':

0.604 = cosQ

[tex]cos^{-1}Q = 0.604[/tex]

m∠Q ≈ 52.83 or 53° rounded to the nearest whole degree.

Based on the calculations, the measure of angle Q to the nearest whole degree is equal to 53°.

How to calculate the measure of angle Q?

Based on the triangle attached in the image above, we can deduce the following parameters:

Side QM = 18 units.Side MN = 17 units.Side QN = 20 units.

In this scenario, we would apply the cosine trigonometry function to determine the measure of angle Q:

MN² = QM² + QN² - 2(QM)(QN)cosθ

17² = 18² + 20² - 2(18)(20)cosθ

289 = 324 + 400 - 720cosθ

720cosθ = 724 - 289

720cosθ = 435

θ = cos⁻¹(435/720)

θ = cos⁻¹0.6042

θ = 52.8 53°.

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What is the solution to this system of linear equations?

7x – 2y = –6

8x + y = 3

(–6, 3)
(0, 3)
(1, –5)
(15, –1)

Answers

Answer:

de correct one is

x 0

y 3

hope u got it

Sonia works at a bakery. The function

Answers

Answer:

I think the function is that she is working.

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Marx and Springsteen provides hair-cutting services in the local community. In February, the business cut the hair of 200 clients, earned $ 5,100 in revenues, and incurred the following operating costs:Hair saloon expense: $500Building rent expense: 1458Utilities expense: 200Depreciation expense--- Equipment: 50 Required:What was the cost of service to provide one haircut? Find the area of the following square.Write your answer in simplest form.Be sure to include the correct unit in your answer.4 1/2m General Mills began losing market share for Go-gurt when its biggest competitor began to focus on kids' yogurt. Which step of the market research process does this statement best correlate with?a. Analayzing datab. Data collectionc. Choosing the data collection methodd. Analyze and interpret the data A researcher reports that the farther college students are from their parents, the more often they communicate with their parents (either by phone or by e-mail). Is this an example of a positive correlation or a negative correlation? Several natural processes contribute to speciation, the development of newspecies. Which of these conditions is most likely to result in speciation?A. Genetic drift that occurs in two reproductively isolated populationsB. Genetic recombination in a small populationC. Genetic mutations that occur often in a large populationO D. Gene flow between two geographically isolated populationsSUBNIT If an economy with C = $5000 + 0.6Yd, I = $1000, G = $800, T = $1000, NX = $-200, where the dollar amounts are in millions of dollars, both government spending and taxes are raised by $200 million, what will be the change in equilibrium income (in millions)?A) $200B) $100C) $0 D) $-200E) None of the above Students who read more than four million words per year do better on standardized test than students who read less than one millionTrue or false Use Venn diagram notations to describe the shading of Which statement is true? 20 Points + Satisfaction of helping someone for this answer NEED HELPWhat is the temperature in kelvin of a gas if it is allowed to expand from 1.50 L to 4.50 L? The initial temperature is 10.0C and pressure is constant throughout the change. Which equation should you use? Glazing is a technique that requires:O A. thinning paint and applying many layers.B. preparing a canvas before painting.c. etching a surface before painting.D. an accurately proportioned composition. how does the ghost of christmas past act towards scrooge? If the perimeter of a rectangle picture frame must be less than 200 in and The width is 36 in what Must the height H of the frame be 3 1/4 x 1 1/3 Please help!!! ~Kweenie~ It is best to eat within an hour of exercising. True or False? Sleve tubes are found in which vascular tissue?OA. phloemOB. xylemOc.tracheids A map has a scale of 2cm=50 km.If two cities appear 10 cm meters apart, how many kilometers apart really are they? What is 8*4 equal to 1/2(12k-6) i don't know what this answer is!!!