If tan t=5/7, what is tan(t−Pi)?

Answers

Answer 1

Answer:

-0.04

Step-by-step explanation:

tan([tex]\frac{5}{7}[/tex] - π) = -0.04

Answer 2

Given:

[tex]\text{tan}(t)=\frac{5}{7}[/tex]

To find:

Value of [tex]\text{tan}(t-\pi )[/tex]

Solution:

To solve the given expression we will use the identity,

[tex]\text{tan}(A-B)=\frac{\text{tan}A-\text{tan}B}{1+\text{tan}A\text{tan}B}[/tex]

Now substitute the values,

[tex]A=t[/tex]

[tex]B=\pi[/tex]

[tex]\text{tan}(t-\pi)=\frac{\text{tan}t-\text{tan}\pi }{1+\text{tan}t\text{tan}\pi }[/tex]

Since, the value of [tex]\text{tan}(\pi )[/tex] is [tex]0[/tex].

[tex]\text{tan}(t-\pi)=\frac{\text{tan}t-0}{1+\text{tan}t\times (0)}[/tex]

                [tex]=\frac{\text{tan}t}{1}[/tex]

                [tex]=\text{tan}t[/tex]

Therefore, [tex]\text{tan}(t-\pi)=\frac{5}{7}[/tex] will be the answer.

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Related Questions

Dustin surveyed 50 students at his school about their music preferences. The results are in the table.


Music Preference Survey
Type of Music

Hip-Hop- 18
Country- 13
Rock- 11
Other- 8


There are a total of 722 students at Dustin’s school. Based on the survey results, which is the best estimate of the number of students who prefer hip-hop music?

A. 180 students
B. 240 students
C. 260 students
D. 405 students

Answers

Answer:

240

Step-by-step explanation:

260 students prefer hip-hop music.

What is Percentage?

To determine the quantity or percentage of something in terms of 100, use the percentage formula. Per cent simply means one in a hundred. Using the percentage formula, a number between 0 and 1 can be expressed. A number that is expressed as a fraction of 100 is what it is. It is mostly used to compare and determine ratios and is represented by the symbol %.

Given:

According to Dustin Survey Hip hop music liked by 18 out of 50

In percentage we can write

x% of 50= 18

50x /100 = 18

x/2 = 18

x= 36%

So, Out of 722 students number of students who prefer hip-hop music

= 36% of 722

= 36/100 x 722

= 260

Hence, 260 students prefer hip-hop music.

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7n - 8n - 323
????????????

Answers

Answer:

−n−323

Step-by-step explanation:

Which unit of measurement would be the most appropriate to measure a bottle of nail polish

Answers

Answer:

milliliter

Step-by-step explanation:

Most of nail polish have their measurement in ml

-1/2(6t+2)?simplify the expressions by disturbing the negatives and combining like terms ​

Answers

Answer:

-3t-1

Step-by-step explanation:

QUICK plzzzz. Don’t worry about the other questions just plz answer 17 for me :)

Answers

Answer:

a) Vf = at + Vi

b) 10 m/s

Step-by-step explanation:

Part A:

first bring the t to the other side, when doing this the t will become a numerator: at= Vf-Vi

now bring the Vi over to the other side and flip the sign: at + Vi = Vf

this can be rewritten as Vf = at + Vi

Part B:

substitute the numbers: Vf = (2)(3) + 4

solve to get: Vf = 10 m/s

What is the equation of the line that passes through the point (-6,-7)(−6,−7) and has a slope of 0?

Answers

Answer:

y = -7

Step-by-step explanation:

The equation of a line is:

y = mx + b    where m = slope

To find b, plug in a point and solve.

(-6,-7)

y = mx + b

-7 = 0(-6) + b

- 7 = 0 + b

-7 = b

So the equation is:

y = 0x + b or

y = -7

No matter what you plug into x, y = -7, because your slope is 0.

The equation of the line that passes through the point (-6,-7) and with slope 0  is [tex]y=-7[/tex].

Point through which the given line passes ≡ (-6,-7)

The slope of the line =0

What is the equation of a straight line?

The equation of a straight line passing through the point (x₁, y₁) is given by: [tex]y-y_1 =m(x-x_1)[/tex]

where m is the slope of the line.

So, the equation of the line that passes through the point (-6,-7) and with slope 0 will be:

[tex]y-(-7) = 0(x-(-7))[/tex]

[tex]y+7 =0[/tex]

[tex]y =-7[/tex]

So, the required equation of the line is y=-7.

Therefore,  the equation of the line that passes through the point (-6,-7) and with slope 0  is [tex]y=-7[/tex].

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I'm confused on how to find x​

Answers

Answer:

x = 2

Step-by-step explanation:

Since this is a 45-45-90 triangle, the 2 legs will be the same, meaning that y will also be [tex]\sqrt2[/tex].

We can then solve for x using the Pythagorean theorem:

[tex]\sqrt2^2+\sqrt2^2=x^2\\2+2=x^2\\4=x^2\\x=2[/tex]

Or, we could use a quicker approach: if the triangle is a 45-45-90 triangle, the hypotenuse will be [tex]\sqrt2[/tex] times the length of 1 leg. It essentially does the same thing; it's just faster so you could save time on tests.

the function is graphed below. On which interval of X is the average rate of change of the function the greatest?

Answers

Answer:

Between x = 48 and x = 45.

Step-by-step explanation:

Average rate of change of a function in the given interval is represented by,

Average rate of change = [tex]\frac{\triangle y}{\triangle x}[/tex]

From the table attached,

Average rate of change of the function between x = 3 and x = 9

= [tex]\frac{16-7}{9-3}[/tex]

= 3

Average rate of change in the interval x = 9 and x = 22

= [tex]\frac{32-16}{22-9}[/tex]

= [tex]\frac{16}{13}[/tex]

= 1.23

Average rate of change in the interval x = 9 and x = 22,

= [tex]\frac{45-32}{45-22}[/tex]

= [tex]\frac{13}{23}[/tex]

= 0.57

Average rate of change in the interval x = 45 and x = 48,

= [tex]\frac{63-45}{48-45}[/tex]

= 6

Therefore, average rate of change is maximum between x = 45 and 48.

Option given in bottom right will be the answer.

Look at the coordinate graph.

Which point has coordinates (5, 4)?

Which point has coordinates (-5, -4)?

Which point has coordinates (5, -4)?

Which point has coordinates (-5, 4)?


Answers

Answer:

B = (5,4), C = (-5, -4), D = (5, -4), A = (-5, 4)

Step-by-step explanation:

look at x axis first (horizontal), then y axis (vertical)

The coordinates of the points are:

Point A is at (-5, 4)Point B is at (5, 4)Point C is at (-5, -4)Point D is at (5, -4)How to identify the points?

Remember that for a point (x, y), we need to count x units on the horizontal axis, and y units on the vertical axis.

With that in mind, we can see that:

Point A is at (-5, 4)Point B is at (5, 4)Point C is at (-5, -4)Point D is at (5, -4)

Now, answering the questions:

Which point has coordinates (5, 4)?

Point B

Which point has coordinates (-5, -4)?

Point C

Which point has coordinates (5, -4)?

Point D

Which point has coordinates (-5, 4)?

Point A.

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Which of the following cities does NOT rely on lumber for its economy?​

Answers

Chillicothe Ohio $:&;&383992939:::

Please help me with this

Answers

Answer:

A = (4, -2)

B = (-2, -2)

C = (-2, 2)

Please Brainliest! It wuld help out a lot..

solve the quadratic equation 3x^2-5x-7=0

Answers

Step-by-step explanation:

[tex]3x^{2} -5x -7 = 0 \\ 3x^{2} -5x = 7 \\ x^{2} -\frac{5}{3}x = \frac{7}{3} \\ x^{2} -\frac{5}{3}x +\frac{25}{36} = \frac{7}{3} +\frac{25}{36} \\ (x -\frac{5}{6})^{2} = \frac{84 +25}{36} \\ (x -\frac{5}{6})^{2} = \frac{109}{36} \\ x -\frac{5}{6} = ±\sqrt{\frac{109}{36}} \\ x -\frac{5}{6} = ±\frac{\sqrt{109}}{6} \\ x = ±\frac{\sqrt{109}}{6} +\frac{5}{6}[/tex]

Equation from the positive root:

[tex]x = \frac{\sqrt{109}}{6} +\frac{5}{6} \\ x = \frac{\sqrt{109} +5}{6}[/tex]

Equation from the negative root:

[tex]x = -\frac{\sqrt{109}}{6} +\frac{5}{6} \\ x = \frac{-\sqrt{109} +5}{6}[/tex]

Answer:

[tex]x = \frac{\sqrt{109} +5}{6}\\[/tex] and [tex]x = \frac{-\sqrt{109} +5}{6}\\[/tex] satisfy your quadratic equation.

Given : A quadratic equation is given to us . The equation is 3x² - 5x - 7 = 0 .

To Find : The roots of the equation .

Solution : Given quadratic equation is 3x²-5x-7=0. So , let's factorise it to get the zeroes of the equation .

⇒ 3x² -5x - 7 = 0.

Here now , use Quadratic formula , of the quadratic equation in standard form of ax² + bx + c = 0.

[tex]\boxed{\red{\bf x\:\:=\:\:\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}}}[/tex]

On substituting respective values ,

⇒ x = -(-5) ± √ (-5)² - 4×3×(-7) / 2 × 3.

⇒x = 5 ± √ [ 25 + 84 ]/ 6 .

⇒ x = 5 ± √ 109 / 6 .

x = 5 + 109 / 6 , 5 - 109 / 6.

[tex]\purple{\underbrace{\underline{\boxed{\red{\tt \purple{\longmapsto} x = \dfrac{5+\sqrt{109}}{6}, \dfrac{5-\sqrt{109}}{6}}}}}}[/tex]

Help me please! If you can explain it will help me a lot, if not then it’s okay.

Answers

Answer:

I cant help bc it doesnt show :((( sorrrrry

Step-by-step explanation:

D should be the answer

Math To Do, i-Ready X G isabella belongs to a fitness club X + student/dashboard/home sabella belongs to a fitness club. She paid an initial fee of $50 when she joined and also pays $10 per month. Since becoming a member of the fitness club, Isabella has paid a total of $240. Use the drop-down menus to complete the statements about the length of time that Isabella has been a member of the fitness club. Click the arrows to choose an answer from each menu.

The equation Choose can be used to determine the value of the number of months Isabella has been a member of the fitness club. She has been a member of the fitness club for Choose months.​

Answers

Answer: 19 months

Step-by-step explanation:

given data:

amount paid initially when joining the club = $50.

monthly payments made = $10.

total amount paid since joining the club = $240.

Solution:

= 10X + 50 = 240

collect like terms

= 10X = 240 – 50

10X = 190

divide both sides by 10

10X/10 = 190/10

X = 19

isabella has been a member of the club for 19 months.

Simplify the expression given below x-3/x-1 + 6/x-3 . A. B. C. D.

Answers

Answer:

= x^2 + 3 / (x-1)(x-3)

Step-by-step explanation:

Adjust fractions based on the LCM:

= (x-3)^2 / (x-1)(x-3) + 6(x-1) / (x-3) (x-1)

Combine the fractions (equal denominators):

= (x-3)^2 + 6(x-1) / (x-1) (x-3)

Expand:

x^2 + 3 / (x-1)(x-3)

Answer:d

X^2+3\(x-1)x-3)

Step-by-step explanation:

On Plato

what is the product of the complex number 3-4i and 6+I where I =-1​

Answers

Answer:

15-20i

Step-by-step explanation:

Hello,

When l =-1

6+l = 6-1 = 5

and 5(3-4i)=15-20i

Thanks

What’s the perimeter of a square with a side of 9 cm

Answers

Answer:

32

Step-by-step explanation:

9+9+9+9 is 32 so thats your answer because all sides on a square are equal

Answer:

[tex]\boxed {\tt 36 \ centimeters}[/tex]

Step-by-step explanation:

The perimeter is the sum of all the side lengths and a square has 4 equal sides.

The perimeter of a square can be found by adding the side length 4 times or multiplying the side length by 4.

[tex]p=4s[/tex]

The side length is 9 centimeters.

[tex]s= 9 \ cm[/tex]

Substitute the value into the formula.

[tex]p=4(9 \ cm)[/tex]

Multiply

[tex]p= 36 \ cm[/tex]

The perimeter of a square with a side length of 9 centimeter is 36 centimeters.

Find the area of the triangle

Answers

The area should be 60 which is half the height times base

Trevor paints 1/6 of the fence surrounding his farm each day how many days will it take him to paint 3/4 of the fence?

Answers

Answer:

5 days

Step-by-step explanation:

1/6 = 2/12

3/4 = 9/12

9/2=4.5

rounded 5

Keri has a spinner with sections labeled Black,
Blue, Orange, and Purple. What is the
theoretical probability of Keri spinning the
spinner and landing on blue or black?

Answers

Answer:

50%

Step by step explanation

100 divided by 4 is 25

Since it is both blue and black, it is doubled from 25 to 50

On October 1, 2018 stokes company paid Eastport Reynolds $4800 for a 12 month lease, deferal

Answers

Answer:

phototmathbdbdjsknaisjdbxiehevdixjbwjwosjznaksojxbwjs

The quanities x and y are proportional Find the constant of proportionality (r) in the equation y= rx

CORRECT ANSWER = BRAINLEIST​

Answers

Answer:

5

Step-by-step explanation:

7*5=35

12*5=60

20*5=100

Gustavo noticed that when a pair of parallel lines was cut by a transversal, a certain pair of
adiacent angles formed a straight line. What can he conclude from this observation? Select one
that applies.

Answers

Answer:

The two angles are supplementary

Step-by-step explanation:

Not sure if this is an option, but it would make sense with the question

The sum of the adjacent angles is 180° which means the adjacent angle will be supplementary angles.

What is an angle?

The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360 °.

Supplementary angle - Two angles are said to be supplementary angles if their sum is 180 degrees.

Adjacent angle - In math, two points are nearby in the event that they have a typical side and a typical vertex.

Gustavo saw that when a couple of equal lines were cut by a cross-over, a specific set of nearby points shaped a straight line.

The sum of the adjacent angles is 180° which means the adjacent angle will be supplementary angles.

The diagram is given below.

More about the angled link is given below.

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Megan had $235.17 in her bank account. She withdrew $77.98 from the account to spend
on clothing. How much money does she have left in her bank account now?

Answers

Answer: 157.19

Step-by-step explanation:

157.19 that would be the answer

This table gives a few (x, y) pairs of a line in the coordinate plane. What is the y-intercept of the line?

Answers

Answer:

(0,-26)

Step-by-step explanation:

0 -26

17 -39

34 -52

51 -65

68 -78

Debbie sells yard art at the local craft show. Each items sells for $15. It costs her $8 to make each item and $25 for her booth fee. Which inequality shows how many items she needs to sell in order to make a profit?

15x > 8(x + 25)

15x > 8x + 25

15x > 8 + 25x

15x < 8x + 25

Answers

Answer: 15x > 8(x + 25)

that is what i think i am not very good a math sorry

Step-by-step explanation:

Answer:

15x > 8(x + 25)

Step-by-step explanation:

I think this is the answer

simplify 12x⁵y² ÷ 3x²y​

Answers

Answer:

f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)

Step-by-step explanation:

Please help me this question

Answers

Step-by-step explanation:

Hey there!

The given point is (8,-3) as (x1,y1) and slope (m) = -3/4.

Note: use one point formula for finding the equation.

[tex](y - y1) = m(x - x1)[/tex]

Put all values.

[tex](y + 3) = - \frac{ 3}{4} (x - 8)[/tex]

Simplify it.

[tex](y + 3) = - \frac{ 3}{4} x - 8 \times - \frac{3}{4} [/tex]

[tex](y + 3) = - \frac{3}{4} x + 6[/tex]

[tex]y = - \frac{3}{4} x + 6 - 3[/tex]

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

Therefore, the equation is; y = -3/4x+3.

Hope it helps...

How many times greater is the value of the 8 in 38,900 than the value of the 8 in 57,080

Answers

it is 100 times greater because it is two places higher than 57,080

The administration at a high school wants to conduct a survey of student opinion. Administrators want to begin with a simple random sample of 100 students. Which of the following survey methods will produce a simple random sample? (4 points)
A-Survey the first 100 students to arrive at school in the morning
B-Survey every 10th student entering the school gym until 100 students are surveyed
C-Use random numbers to choose 25 each of freshmen, sophomores, juniors, and seniors Number the gym seats. Use a table of random numbers to choose seats and interview the students until 100 have been interviewed.
D- Number the students on the school roster.
E-Use a table of random numbers to choose 100 students from this roster for the survey.

Answers

Answer:

C

Step-by-step explanation:

Each year will have 25 student

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