If θ is an angle in standard position and its terminal side passes through the point (-4,-9), find the exact value of \tan\thetatanθ in simplest radical form.

Answers

Answer 1

Given:

θ is an angle in standard position and its terminal side passes through the point (-4,-9).

To find:

The exact value of tanθ in simplest radical form.

Solution:

If θ is an angle in standard position and its terminal side passes through the point (x,y), then the exact value of tanθ is:

[tex]\tan \theta=\dfrac{y}{x}[/tex]

It is given that, θ is an angle in standard position and its terminal side passes through the point (-4,-9). So, t he exact value of tanθ is:

[tex]\tan \theta=\dfrac{-9}{-4}[/tex]

[tex]\tan \theta=\dfrac{9}{4}[/tex]

Therefore, the required value is [tex]\tan \theta=\dfrac{9}{4}[/tex].


Related Questions

1 2 3 4 5 6 7 8 9 10
TIME REMAINING
58:09
Fiona wrote out the description of each step for her multiplication of the binomial and trinomial (2x – 3)(5x2 – 2x + 7).

A table titled Fiona's Product with 2 columns and five rows. The first column is labeled steps with 4 steps shown. The second column is labeled result and shows 5 result expressions.

In which step did Fiona make an error?

Step 1
Step 2
Step 3
Step 4

Answers

Answer:

(2x – 3)(5x^2 – 2x + 7)

=103−192+20−21

Hope This Helps!!!

Larry works at the Gap Clothing Store. He works 15 hours week. If his manager cuts all employee hours by 20%, how many hours a week will Larry work now.

Answers

Answer:

12 hours

Step-by-step explanation:

Find 20% of 15 hours

15 * 20%

15 * .2

3

Subtract this because his hours are cut

15-3

12

Please solve the following equation. WILL MARK BRAINLIEST AND NO RUBBISH LINKS OR ANSWERS. Thank you!

38x-12y = (6+2n)x + (4-n)y​

Answers

Answer:

38 X -12y= (6+2n)x t(4-7) y

38 X-12y = 6 X +2nx + 4 y -7y

38x - 12 Y = 6x + 2nx -3y

32x -9y = 2nx

nx= 16x -4.5y

Answer:

n=16

Step-by-step explanation:

38=6+2n

2n=32

n=16

OR

-12=4-n

-n=-16

n=16

plzz helpppp.........​

Answers

Answer:

B) Unequal

Step-by-step explanation:

yun po yung sagot

p follow po at pa rate at heart

1. A researcher would like to compare the effectiveness of video versus reading for communicating information to adolescents. A sample of n1= 10 adolescents is given a pamphlet explaining nuclear energy and told that they will be tested on the information. A separate sample of n2= 10 adolescents is shown a video that contains the same information presented in a fast-paced visual form and told that they will be tested. One week later all 20 subjects are given a test on nuclear energy. The average score for the pamphlet group was 1= 51 with s12= 16. The video group averaged 2= 46 with s22= 20. Conduct a t-Test (two-tail, α = .05) for two Independent groups to see if there is a significant difference between the two groups (follow the Handout).

Answers

Answer:

There is significant statistical evidence to suggest there is a difference between the groups

Step-by-step explanation:

The number of adolescents in the sample that were given a pamphlet, n₁ = 10

The average score of those given a pamphlet, [tex]\bar x_1[/tex] = 51

s₁² = 16

The number of adolescents in the sample that were given a video, n₂ = 10

The average score of those given a video, [tex]\bar x_2[/tex] = 46

s₂² = 20

The alpha level of the test, α = 0.05

H₀ = No difference

Hₐ = Difference between the groups

The test statistic for the difference in mean is given as follows;

[tex]t=\dfrac{(\bar{x}_1-\bar{x}_{2})}{\sqrt{\dfrac{s_{p}^{2} }{n_{1}}+\dfrac{s _{p}^{2}}{n_{2}}}}[/tex]

Plugging in the values, gives;

[tex]t=\dfrac{(46-55)}{\sqrt{\dfrac{18 }{10}+\dfrac{18}{10}}} \approx -4.73[/tex]

The degrees of freedom, n₁ + n₂ - 2 = 20 - 2 = 18

The critical-t = 2.101

Therefore

Given that the test statistic is larger than than the critical-t, we reject the null hypothesis that there is no difference

Help y’all

Cross Sections of a Cone: Introduce possible cross sections of a cone. You need to show the shape of the cross section and how you cut the cone to get that shape. Please introduce at least THREE

Answers

i don’t know but, have an amazing day sorry couldn’t answer miss or sir

Observe los datos de la siguiente tabla y resuelva. x -2 -1 0 1 2 3 y 1 3 5 7 9 11

Answers

Answer:

y = 2*x + 5

Step-by-step explanation:

En este problema tenemos los datos de una tabla, y supongo que queremos encontrar la funcion que esta siendo representada por esta tabla.

La tabla es:

x:  -2   -1   0   1   2   3

y:   1    3   5   7   9   11

Esto parece ser una relación linear, las cuales se escriben como:

y = a*x + b

Donde a es la pendiente y b es la ordenada.

Si sabemos que la linea pasa por los puntos (x₁, y₁) y (x₂, y₂), entonces la pendiente será:

a = (y₂ - y₁)/(x₂ - x₁)

Entonces lo primero que debemos chequear es si utilizando distintos puntos de esa tabla obtenemos la misma pendiente, lo que significaría que los datos de la tabla se corresponden con una relación linear.

SI usamos los primeros dos puntos de la tabla, que son (-2, 1) y (-1, 3) la pendiente es:

a = (3 - 1)/(-1 - (-2)) = 2/1 = 2

Ahora si utilizamos por ejemplo el segundo y tercero, que son (-1, 3) y (0, 5) entonces la pendiente es:

a = (5 - 3)/(0 - (-1)) = 2/1 = 2

Ya vimos que para dos pares de puntos distintos la pendiente es igual a 2, entonces podemos concluir que la ecuación va a ser algo como:

y = 2*x + b

Para encontrar el valor de b, podemos usar cualquiera de los puntos de la tabla.

Si usamos el segundo punto, (-1, 3)

esto significa que cuando x = -1, tenemos y = 3

Si reemplazamos esos dos valores en la ecuación de arriba, obtenemos:

3 = 2*-1 + b

3 = -2 + b

3 + 2 = b

5 = b

Entonces la ecuación es:

y = 2*x + 5

how to solve (-6y^-3z^-3)(-1/2y^-1z)

Answers

Answer:

        3

__________

  y ^4  z ^2

Step-by-step explanation:

Last week, the price of apples at a grocery store was $1.60 per pound. This week, apples at the same grocery store are on sale at a 10% discount. What is the total price of 4 \frac{ 1}{2 }
2
1

pounds of apples this week at the grocery store?

Answers

Answer:

The new price for one pound of apples is $1.44

Step-by-step explanation:

A 10% discount from $1.60 is $0.16, which can be found by multiplying $1.60 by 0.10. To figure out the new price, use the equation: $1.60 - $0.16= $1.44

30 POINTS + BRAINLIEST!!! PLEASE HELP ASAP!!!

Complete each congruency statement and name the rule used. If you cannot show the triangles are congruent from the given information, leave the triangle’s name blank and write CNBD for “Cannot be determined” in place of the rule.

Answers

Step-by-step explanation:

∆COT is congruent with ∆NPA

by rule A.S.S (angles, sides, sides)

Answer:

△COT≅△NPA by SSA

Step-by-step explanation:

Un león, al ver correr un grupo de venados ¡exclamó!: "Adiós, mis cien venados", a lo cual los venados contestaron: "Estás equivocado, señor león. Con nosotros, otros tantos, la mitad de nosotros, la cuarta parte de nosotros y tú, señor león, somos 100". Cuántos venados van en el grupo? ( Utilice una ecuación de primer grado)

Answers

Answer:

Hay 56 venados en el grupo.

Step-by-step explanation:

En primer lugar, debemos traducir la proposición (oración) en una expresión matemática:

"Estás equivocado, señor león. Con nosotros, otros tantos, la mitad de nosotros, la cuarta parte de nosotros y tú, señor león, somos 100"

[tex]x + \frac{x}{2} + \frac{x}{4} + 1 = 100[/tex]

[tex]\frac{3\cdot x}{2} + \frac{x}{4} = 99[/tex]

[tex]\frac{7\cdot x}{4} = 99[/tex]

Donde [tex]x[/tex] es el número de venados.

[tex]x = 56.571[/tex]

Puesto que la cantidad de venados es un número entero, debemos truncar al entero más cercano. Es decir:

[tex]x = 56[/tex]

Hay 56 venados en el grupo.

PLEASE HELP PLEASE PLEASE PLEASE

Answers

Answer:

45[tex]yd^{2}[/tex]

Step-by-step explanation:

splitting it into 2 rectangles, you have one of 15 x 2 and 5 x 3. multiplying base by width on both and adding the answers together gives you 45.

Answer:

45 yd2

Its a composite shape, so you'll have to "cut" it into basic shapes first.

I've cut it into two rectangles A and B... (see attachment)

Rectangle A on its own would have a l = 5 yd and w = 3 yd

Rectangle B will have l = 15 yd and w = 2yd

Total area = Area of A + Area of B

= (5 × 3) + (15 × 2)

= 15 + 30

=

[tex] {45yd}^{2} [/tex]

F
is directly proportional to
a
.
If
F
=
25
when
a
=
5
find,
F
when
a
=
8

Answers

Since F and a are directly proportional, we can relate F to our unknown F, and a to our other known a.

25 / 5 = F / 8

Cross-multiply to solve.

5F = 200

F = 40

Hope this helps!

Một dàn gà có 24 con gà trống và bằng 6 phần 5 số con gà mái. Tỉ số giữa số gà mái và số con gà của đàn.

Answers

Step-by-step explanation:

Số gà mái: 24 : 6 x 5 = 20 (con)

Số gà cả đà: 24 + 20 = 44 (con)

=> Tỉ số giữa gà mái và số gà của đàn: 20/44 = 5/11

What is the equation of the line graphed below? Y +1= -3(x-1)

Answers

Answer:

y=-3x+2

Step-by-step explanation:

distribute and simplify

the perimeter of a circular segment with a central angle of 144 degrees is 30 cm calculate the area of the segment to 2 decimal places​

Answers

Answer:

sorry

i

dont

know

how

to

do

it

Step-by-step explanation:

Find the coordinates of the points on the graph of y= 3x - 16

Answers

Answer:0,-16; 1, -13; 2, -10; 3,-7; 4, -4; 5,-1; 6,2; 7,5

Step-by-step explanation:

Help on this anyone ?

Answers

Answer:

x = 77

Step-by-step explanation:

x and 103° are same- side interior angles and sum to 180° , then

x + 103 = 180 ( subtract 103 from both sides )

x = 77

Now that you know Theresa's height, find Paul's and Steve's height. Plug Theresa's height into the expressions for Paul's height and Steve's height. How tall are they each in inches? Are they both the same height?

Answers

Answer:

Theresa is 58.82 in tall

Step-by-step explanation:

Let  

x----------> Paul and Steve heights

y----------> Theresa height

we know that

1 1/2-------> 3/2---> 1.5

1 1/3-------> 4/3----> 1.33

Paul says he is 16 inches shorter than 1 1/2 times Theresa's height

x=1.5y-16-------> equation 1

Steve says he's 6 inches shorter than 1 1/3 times Theresa's height

x=1.33y-6------> equation 2

equals 1 and 2

1.5y-16=1.33y-6

1.5y-1.33y=-6+16

0.17y=10----------> y=58.82 in

x=1.5y-16------> 1.5*(58.82)-16------> x=72.24 in

the answer is

Theresa is 58.82 in tall

The measure of degrees

Answers

Answer:

yes because I have no idea what I'm doing

Step-by-step explanation:

idek don't use this

If a chair costs 734 dollars and I give it to my friend for 823 dollars how much is my profit as a percentage

Answers

Answer:

[tex]X=12.125\%[/tex]

Step-by-step explanation:

From the question we are told that:

Cost Price [tex]CP=734[/tex]

Sale Price [tex]SP=823[/tex]

Generally the equation for Profit  P is mathematically given by

 [tex]Profit=SP-CP[/tex]

 [tex]P=823-734[/tex]

 [tex]P=89[/tex]

Therefore as a percentage

Percentage Profit X is given as

 [tex]X=\frac{89}{734}*100[/tex]

[tex]X=12.125\%[/tex]

Jillian and Nikki each filled their cars with gasoline. The graphs below show the amount of gas in each car and the miles driven since filling the tank.

A graph titled Jillian's Car has miles driven on the x-axis, and gallons of gas left on the y-axis. A line goes through (0, 22) and (100, 16). A graph titled Nikki's Car has miles driven on the x-axis and gallons of gas left on the y-axis. A line goes through points (0, 20) and (100, 16).

Which statement is supported by the graphs?

Answers

Answer:

it's AAAAAAAAAAAAAAAAAAA

Answer:

It's A <3

I took the test. ^^

Need answer ASAP pls it’s important

Answers

Hey buddy I am here to help!

total outcomes r = 36

multiples of 3 = 3,6

total outcomes of multiple fo 3 = 12

12/36 = 1/3

1/3 is the answer

Hope it helps!

Plz mark me brainliest!

in circle p, which arc is a major arc?​

Answers

If your asking to select all that apply, The formula is arc length = θ ( r ) {\displaystyle {\text{arc length}}=\theta (r)} , where equals the measurement of the arc's central angle in radians, and r {\displaystyle r} equals the length of the circle's radius. Plug the length of the circle's radius into the formula.ABC,BAD,DCB

More

For the points A and B, the major arc is the part of the circumference from A to B which contains the points E, D and C

What is arc in a circle and what are its classifications?

For a circle, take two points on its circumference. That divides the circumference of the considered circle in two parts. Those both parts are called arcs of the circle. The bigger part will be called the major arc, and the smaller one will be called the minor arc.

When the two points are chosen such that they're the endpoints of one of the diameters of the considered circle, then both the arcs are of same length due to symmetry, so there is no concept of major or minor between them.

For this case, there are 5 points, as A, B, C, D, and E.

Since no option is given, so let we take two points which are not on the ends of any diameter.

The points A and B are good enough.

So, the smaller part of the circumference between A and B is the minor arc and the bigger part which contains points like E, D and C is the major arc.

A demonstration is given in the image attached below.

Thus, for the points A and B, the major arc is the part of the circumference from A to B which contains the points E, D and C (the bigger part).

Learn more about major and minor arcs here:

https://brainly.com/question/9288523

Find mode.
Mathematics ClassX

Answers

Step-by-step explanation:

my answer is in the image and class width is 3

lcu- lower class boundary

HELP ASAP< BRAINLIEST IF RIGHT

Answers

Answer:

Option B.

Step-by-step explanation:

For a general function f(x), a vertical stretch of scale factor K is written as:

g(x) = K*f(x)

Also, for definition, we usually define:

for K > 1, this is an "stretch" or "dilation"

for 0 < K < 1, this is a "contraction"

Here we have:

f(x) = ∛(x + 4)

We want to find an option that is a vertical stretch from this:

So we want something like:

g(x) = K*∛(x + 4)

With K > 1

Then the correct option is B, where we have K = 2, so this is a vertical stretch of scale factor K = 2.

Which function can represent the height, y, of the railing in inches according to the horizontal distance in inches, x, from the top of the stairs? y = –StartFraction 3 Over 4 EndFractionx + 36 y = –3x + 36 y = StartFraction 3 Over 4 EndFractionx + 36 y = 3x + 36

Answers

Answer:

[tex]y = 36 - \frac{3}{4}x[/tex]

Step-by-step explanation:

The missing parameters are:

[tex]h = 36in[/tex] --- height of rails

The rate of decrement is: 9 [tex]inches[/tex] for [tex]every[/tex] 12 [tex]horizontal[/tex] [tex]inches.[/tex]

Required

The function

First, we represent the rate (r) as a fraction.

[tex]r = -\frac{9}{12}[/tex] ---- negative, because it decreases

Simplify

[tex]r = -\frac{3}{4}[/tex]

So, the function is:

[tex]y = h + r * x[/tex]

Where:

[tex]x \to[/tex] distance from top

So, we have:

[tex]y = 36 - \frac{3}{4}x[/tex]

Universal Studios is looking to expand in Ontario. The new theme park will be located equidistant to
Newmarket, N (2,8), Markham, M (7,3) and Vaughan, V (-2, 0). Determine the location of the new
theme park if it is located at the point of intersection of the perpendicular bisectors.

Answers

Answer:  (2, 3)

===============================================

Explanation:

For now, we're only going to consider Newmarket and Markham, which are points N and M respectively.

Let's find the slope of line NM through use of the slope formula.

m = (y2-y1)/(x2-x1)

m = (3-8)/(7-2)

m = -5/5

m = -1

Line NM has a slope of -1. Its perpendicular slope is +1 or just 1.

Rule: If the slopes multiply to -1, then the lines are perpendicular.

Or you can apply the negative reciprocal rule to go from -1 to 1.

We'll keep this perpendicular slope in mind for later.

----------------

Now let's find the midpoint of points N and M.

Add up the x coordinates and divide by 2: (x1+x2)/2 = (2+7)/2 = 4.5

Do the same for the y coordinates:  (y1+y2)/2 = (8+3)/2 = 5.5

The midpoint of N and M is at (4.5, 5.5)

The perpendicular line must go through these two points. I'm going to skip a few steps here, but basically we go from y = mx+b to y = x+1 after plugging in those x,y values and the perpendicular m we found earlier.

--------------------

In short, the perpendicular bisector for line segment NM is the equation y = x+1.

If you follow the same steps as the previous two sections, but you apply them for points M and V instead, then you should find that the perpendicular bisector is y = -3x+9. I'm skipping steps here as well.

----------------------

At this point, we have the system of equations

[tex]\begin{cases}y = x+1\\y = -3x+9\end{cases}[/tex]

Let's use substitution to solve for x and y

y = x+1

-3x+9 = x+1

-3x-x = 1-9

-4x = -8

x = -8/(-4)

x = 2

y = x+1

y = 2+1

y = 3

So together, x = 2 and y = 3 pair up to get the ordered pair solution (x,y) = (2,3)

This is the location where the theme park should be placed. Let's say that C = (2,3). I'm using C for center.

You can use the distance formula to confirm that segments CN, CM and CV are all the same length, which would verify that point C is equidistant from all the other points. Furthermore, it means that points N, M and V are all on the same circle centered at C.

I know it says not to use a graph, but it still helps to see what's going on. Also, it's a handy way to confirm the answer. I used GeoGebra to make the graph. See the diagram below.

Side note: you only need 2 perpendicular bisectors to find point C. You could use three, but that's overkill since they all intersect at the same location.

Which region represents the solution to the given system of inequalities?

{+3y < -3
{ x > 3

Answers

Step-by-step explanation:

the answer is in the above image

use the app DESMOS it helps in drawing graphs like this

In a camp, there were 500 solders. 60 more solders joined them. What percent of the earlier (original) number have joined?​

Answers

Answer:

89.2%

Step-by-step explanation:

Original number of soldiers=500

New number of soldiers=500+60=560

% of original number of soldiers=(500/560)x100=89.2%

Other Questions
i would like the help Use the law of sines to find the measure of angle C. what do you mean by high and middle level profession. To determine the enthalpy and entropy of dissolving a compound, you need to measure the Ksp at multiple _______. Then, plot ln(Ksp) vs. ______. The slope of the plotted line relates to the _______ of dissolving and the intercept of the plotted line relates to the ______ of dissolving. Calculate the forces that the supports \rm A and \rm B exert on the diving board shown in when a 58-\rm kg person stands at its tip. Kingbird, Inc. sells 450 shares of common stock being held as an investment. The shares were acquired six months ago at a cost of $50 a share. Kingbird sold the shares for $51 a share. The entry to record the sale is:_____. True or False 1.when a car goes upward on a hill, it moves against gravity.2. Friction is a force that pulls all objects down to Earth's Center.3. Gravitational pull is less on the moon than on Earth.4. If there is no air resistance, objects dropped from the same height will hit the ground at the same time.5. Isaac Newton observed that an apple falls from a tree because of gravity. what will the time be after 1 hour 5 minutes from 8:15 am If a tornado causes considerable damage with wind speeds of 111 to 135 miles per hour, its classified as _______ on the Enhanced Fujita Scale. The type of major storm called a/an _______ is driven primarily by the Coriolis effect. The weather pattern that stays over one area for an extended period of time is known as _______. What are the two types of downbursts, and how are they different? How is a funnel cloud different from a tornado? Why does a hurricane begin to dissipate after it makes landfall? Explain how the heat index and the wind chill index are similar and different. What type of severe weather prevents sweat from evaporating to cool down bodies? A company has recently adopted a hybrid cloud architecture and is planning to migrate a database hosted on-premises to AWS. The database currently has over 50 TB of consumer data, handles highly transactional (OLTP) workloads, and is expected to grow. The Solutions Architect should ensure that the database is ACID-compliant and can handle complex queries of the application.Which type of database service should the Architect use?A. Amazon RedshiftB. Amazon DynamoDBC. Amazon AuroraD. Amazon RDS Kirsten is attending a university several hundred miles away from home. When she returns home for a visit during holiday break, her parents are astonished about how up-to-date she is about the experiences of her siblings and friends. She seemed to have maintained stable relationships with her significant others. Kirsten was able to keep informed due to ____________. ) Should I ______ left or right at the light? A. follow B. pass C. turn HELP PLZZ What is the value of x in the figure below? If necessary, round your answer tothe nearest tenth of a unit.A. 13B. 7C. 1.9D. 9.5 Select the correct answer.What is the solution to this equation?g^x-1=2 A. -1/2B. 1/2C. 2D. 1 fine the value for the following 11 -124+3 (6-2)and021 A meter 0.0525 m from a wire measures a magnetic field of 7.14 x 10-6 T. How much current flows through the wire? Which of these statements describes an important characteristic ofJudaism?A. Judaism is monotheistic and recognizes only one god.B. Judaism forbids its followers from using any kind of violence.C. Judaism was practiced in only one location throughout history.OD. Judaism was the first religion to prohibit slavery of any kind.SUBMITPREVIOUS what havoc would be caused if a horse was suddenly at the top of the food chain Identify the 3 terms by name: 5x2 - 7x + 2 In the coming year, a vehicle manufacturer has decided to manufacture 150 vehicles per day. The function v = 150d represents the companys production for the coming year, v, with respect to the number of days, d.The rate of change of the function representing the number of vehicles manufactured for the coming year is , and its graph is a . So, the function is a function.