Write the function tan([tex]\frac{3\pi }{4} -x[/tex]) as an expression involving functions of x only

Answers

Answer 1

Step-by-step explanation:

[tex] \tan( \frac{3\pi}{4}- x) = \frac{ \tan( \frac{3\pi}{4} ) - \tan(x) }{1 + \tan( \frac{3\pi}{4} ) \tan(x)} [/tex]

Since tan(3pi/4) = -1

[tex] \tan( \frac{3\pi}{4}- x) = \frac{ - 1 - \tan(x) }{1 - \tan(x)} [/tex]

[tex] = \frac{ \tan(x) + 1}{ \tan(x) - 1} [/tex]


Related Questions

1. Una empresa pagó S/. 72 180 por un lote de 36 laptops y S/. 101 220 por un lote de 84 impresoras. ¿Cuál es el precio por unidad de cada producto?

Answers

Answer:

Step-by-step explanation:

A company paid S /. 72 180 for a batch of 36 laptops and S /. 101 220 for a batch of 84 printers. What is the price per unit of each product?

For Laptops

72 180/36

= 2005

For Printers

101 220/84

= 1205

tell the correct pls pls​

Answers

Answer:

True

False

True

Step-by-step explanation:

1. False (because m can be 0, it is n that cannot be 0 because it is the denominator)
2. False (They both contain the same variables, and so are like terms)
3. True (The equation is correctly written from the words)

In ΔRST, the measure of ∠T=90°, RT = 13, TS = 84, and SR = 85. What ratio represents the sine of ∠S?

Answers

Answer:

[tex]$ \frac{\text{13}}{\text{85}} $[/tex]

Step-by-step explanation:

Given :

ΔRST is a right angled triangle with right angle at ∠RTS.

RT = 13, SR = 85 and TS = 84

We are required to find the ratio that represents the sine of angle RST.

Therefore, using trigonometric ratios, we know that :

[tex]$\sin \angle RST = \frac{\text{perpendicular}}{\text{hypothenuse}} $[/tex]

[tex]$\sin \angle RST = \frac{\text{RT}}{\text{RS}} $[/tex]

[tex]$\sin \angle RST = \frac{\text{13}}{\text{85}} $[/tex]

Therefore, the ratio that represents the sine of of ∠S is   [tex]$ \frac{\text{13}}{\text{85}} $[/tex] .

0.54+13,500=?/100+13,500 help pls

Answers

Answer:

54

Step-by-step explanation:

the question is below please answer fast i need help

Answers

Answer:

n = 4

Step-by-step explanation:

[tex]\sqrt{64} \cdot \sqrt[3]{8} = \sqrt{8 \times 8} \cdot \sqrt[3]{2 \times \ 2 \times 2 }[/tex]

            [tex]= 8 \cdot 2\\=2^3 \cdot 2\\=2^4\\[/tex]

Answer:

Step-by-step explanation:

[tex]\sqrt{64}[/tex] .[tex]\sqrt[3]{8}[/tex]

8.[tex]8^{1/3}[/tex]

[tex]8^{1+1/3}[/tex]

[tex]8^{4/3}[/tex]

[tex]2^{2*4/3}[/tex]

[tex]2^{8/3}[/tex]

therefore n=8/3

For the right triangles below, find the values of the side lengths h and b.
Round your answers to the nearest tenth


Answers

Answer:

5.8

Step-by-step explanation:

44% of the 25 buildings in the Forum are preserved. How many buildings are preserved?

Answers

Answer:

=44%of25

=44/100*25

=44/4

=11

Ratio of 4 to 10= (?) %

Answers

40%
hope this helps

Answer:

It is 40 I hope that it is helpful have a nice day

help please! any help is appreciated

Answers

Answer:

Step-by-step explanation:

6.

P(even)=4/8=1/2

=50 %

7.

P(8)=23/50

=46 %

16. (1pt) in the figure, lines jand kare parallel to one another. Line mintersects both parallel
lines to create 8 numbered angles, none of which are right angles.
ni
1
2
3
4
Garrett measures angles 1 and 6. He says the measure of angel
1 is 65° and the measure of angle 6 is 125º. Jennifer claims
Garrett is incorrect. Which statement could Jennifer use to
prove her claim?
A. 21 and 24 are congruent, and the sum of the measures
of 24 and 26 must be 180°.
B. 21 and 23 are congruent, and the sum of the measures
of 23 and 26 must be 180°
C. 21 and 27 are supplementary, and the sum of the
measures of Z6 and 27 must be 180°
D. 22 and 26 are supplementary, and the sum of the
measures of Z1 and 22 must be 180°
S
6
k
7
8

Answers

Answer:

21 and 24 are congruent, and the sum of the measures

Please Answer!! Pretty easy, you can pick more than one option as well.

Answers

Answer:

Step-by-step explanation:

is product propriety

log AB = log A +log B

1/2 ㏒57 + 1/2 ㏒ 74 = 1/2 ㏒ 57*74 = 1/2 ㏒4,218

and power propriety

log [tex]log _{b} m^{p} = p* log_{b} m[/tex]

1/2 log 4,218 = log 4,218^1/2

i don't understand these

Answers

Answer:

3 sqrt(3)

sqrt(7)

Step-by-step explanation:

7 sqrt(3) - 2 sqrt(3) + sqrt(3) - 3 sqrt(3)

Factor out the sqrt(3)

sqrt(3) (7 -2+1-3)

Combine like terms

sqrt(3) (3)

3 sqrt(3)

5 sqrt(7) + 4 sqrt(7) - 8 sqrt(7)

Factor out the sqrt(7)

sqrt(7)( 5+4-8)

Combine like terms

sqrt(7) (1)

sqrt(7)

Step-by-step explanation:

a) We can factor out √3 from all of the terms:

√3(7 - 2 + 1 - 3) = 3√3

b) We can factor out √7 from all the terms

√7(5 + 4 - 8) = √7

1) Is it a function?
Please help

Answers

Answer:

Hi, there your answer is yes it is a function

Step-by-step explanation:

A function is when x is not repeating itself like -3, 3

A not a function is when x is repeating for example like 3,3

Hope this Helps :)

Can someone help me pleaseeeeeeeee.

Answers

Answer:

B) 2.25

Step-by-step explanation:

Given:

x = -2

y = 4

z = -5

Work:

[tex]\frac{x^2-z}{y} \\\\\frac{(-2)^2-(-5)}{4}\\\\\frac{4+5}{4} \\\\\frac{9}{4} \\\\2.25[/tex]

what is 9×4−(2×1/2)
(1/2 Is a fraction btw)

Answers

Answer:

35

Step-by-step explanation:

I used Symbolab here's the screenshot

l

Use 3 for T.
6cm
V = Ten
V ~ [?]cm
3
5cm
Enter your answer in decimal form.
Helppp

Answers

Answer:

150cm^3

Step-by-step explanation:

The problem says to use 3 for pi so then you just plug everything into  the equation as 6=height and 5=radius

3*5^2*6=450

450/3=150

Answer:

...... The answer is 37.5cm³ , please ignore the handwriting...

WILL GIVE BRAINLIEST!! PLEASE HELP!
How do I factor 6v^2–36v+54 since 6 isn't a square root?

Answers

Answer:

6 (v-3)^2

Step-by-step explanation:

6v^2–36v+54

Factor out a 6

6(v^2–6v+9)

Then factor inside the parentheses

What 2 numbers multiply to 9 and add to -6

-3*-3 =9    -3+-3 = -6

6( v-3)(v-3)

6 (v-3)^2

math and answer please than you

Answers

Answer:

6

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

C^2 = A^2 + B^2

plug in numbers

100 = 64 + B^2

36 = b^2

square

b = 6

Fill in the blanks
With the options below

Answers

Answer:

The value of x = 33 units (Approx.)

Step-by-step explanation:

Given triangle is a right angle triangle;

So,

Base of triangle = 18 unit

Angle with base = 57°

Find:

The value of x

Computation:

Using trigonometry function;

Cosθ = Base of triangle  / Hypotenuse triangle

Cos57 = 18 / x

0.544 = 18 / x

The value of x = 18 / 0.544

The value of x = 33.088

The value of x = 33 units (Approx.)

The student enrollment of South High School was 1,350 students in 1995 and increased by 15% per year until 2010. Approximately how many students were enrolled at South High School in 2010?

Answers

Answer: 10,985 students

Step-by-step explanation:

You are given the original number of students, the rate of growth and the number of years. The Future value formula can therefore be used:

Number of students in 2010 = Number of students in 1995 * ( 1 + growth rate) ^ number of years

Number of years = 2010 - 1995 = 15 years

Number of students in 2010 = 1,350 * ( 1 + 15%)¹⁵

= 10,985 students

Joey will randomly select one dairy, one fruit, and one topping choice, There are 2 dairy choices, 3 fruit choices, and 2 topping choices. What is the probability that Joey’s shake will be made with ice cream, pineapple, and granola?

Answers

Answer:

1/12

1 out of 12

1:12

0.08333333333333333333333333333333333333333333(repeating forever)

8.33333333333333333333333333333333%

about 8.3%

depends on the format you want but probably the first one

Step-by-step explanation:

the individual probabilities are 1/2 ice cream, 1/3 pineapple, 1/2 granola

so multiply them to see what the probability of getting them all is

1/2 * 1/3 * 1/2 = 1/12

Hope this helps! :)

Answer:

1/12 is the answer

Step-by-step explanation:

I don't know how to explain it that's just the answer I got

PLEASE PLEASE HELP I REALLY NEED THIS!! THANK YOU
Simplify the scale factor and write it as a proper fraction, improper fraction, or whole number.

Answers

Answer:

12 right 6 up (12,6) and 3:1 or 3

Step-by-step explanation:

what is the sum of 2/3+ 1/5 ?​

Answers

Answer:

13/15

Step-by-step explanation:

 

Answer:

[tex] \frac{13}{15} [/tex]

Step-by-step explanation:

HOPE IT HELPS MUCH

Write The equation or the line in slope intercept form​

Answers

Answer:

y = -3x + 5

Step-by-step explanation:

slope intercept form - y = mx + b

where m = slope and b = y intercept

step 1 identify the slope

slope = change in y over change in x.

Looking at the graphed line, as y goes up 6 x goes down 2

Hence, slope (m) = 6 / - 2 or -3

Step 2: identify the y intercept ( b )

b = The y value of the coordinate where the line passes the y axis.

The line passes the y axis at point ( 0 , 5 )

The y value of that coordinate is 5

Therefore b = 5

Step 3 add everything together

y = mx + b

* replace m with -3 and b with 5 *

the equation of the line in slope intercept form is y = -3x + 5

two airplane leave an airport at the same time. after one hour airplane a is 315 kilometers away from the airport airplane b is 405 kilometers away from the airport and the airplanes are 285 kilometers apart. what is the approximate angle between the flight paths of the airplanes

Answers

Picture Attached..

Answer.. 44.52°

Hope This Helps You

Answer:

44.5

Step-by-step explanation:

got 100% on plato

The Surface Area of a sphere is 36π cm2. Find its diameter.

Answers

Answer:

6 cm

Step-by-step explanation:

A = 4πr^2

4πr^2 = 36π cm^2

r^2 = 9 cm^2

r = 3 cm

d = 2r = 6 cm

Can someone show me the steps to solving this?!?!!

Answers

Answer:

la raíz cuadrada entre 3

I WILL GIVE BRAINLIEST!!

Answers

Answer:

1

Step-by-step explanation:

The problem is basically asking us to find the value on the graph corresponding to the x value of 1. We can draw a line with the equation x = 1(or just trace your finger up) to see that when x = 1, the output of the function is at the value 1 as well(the y value).

Basit plate and online Pin Ball game the first time we got our score of 25000 point then he is called 125000 point and third time he scored 30000 what was his Score per game ?​

Answers

Answer:

60000 points per game

Step-by-step explanation:

Basit played an online pin ball game. The first time he got a score of 25000 points than he scored 125000 points and the third time he scored 30,000 . What was his average score per game​.

Solution:

Average is used to represent a list of numbers by a single number. This is usually done by summing each of the numbers in the list and then dividing this result by the amount of numbers in the list.

Since Basit, had 3 scores which were 25000 points, 125000 points and 30000 points. To find the average, we sum all the scores and divide the result by 3 (that is because we have 3 scores). Hence:

Average score per game = (25000 + 125000 + 30000) / 3 = 60000 points per game

An ice-cream store sold 70 sundaes. The ratio of
strawberry to chocolate sundaes was 3:4. How
many strawberry sundacs did they sell

Answers

Answer:

30 strawberry sundaes.

Step-by-step explanation:

We know there is a total of 70 sundaes.

3 sundaes will be strawberry.

4 sundaes will be choclate.

When you add 3 and 4 together, you get 7. This is your total ratio.

So 3/7 of the sundaes are strawberry.

And 4/7 of sundaes are choclate.

We know there is a total of 70 sundaes.

The total ratio we figured out is 7.

If the total sundaes is 70, and the total ration is 7. Then the total sundaes is 10 times bigger than the ratio.

This means we need to multiply the 3 strawberry sundaes and 4 choclate sundaes by 10.

3*10=30

4*10=40

So there are 30 strawberry sundaes and 40 choclate sundaes.

We need to find the strawberry sundae amount, so the answer is 30.

Hope this helps!

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