Let tan(x)=2/5 What is the value of tan(π−x) ?

Answers

Answer 1

Answer:

tan(π−2/5)

decimal form -0.42

Answer 2

Answer:

-0.42

Step-by-step explanation:


Related Questions

Find the angle between the Crocodile River and the road. Show your work, and round your answer to the nearest tenth of a degree. Need help ASAP.

Answers

Answer:

63.4°

Step-by-step explanation:

Use the right triangle with vertices (0, 4), (6, 4), and (6, 7).

We are looking for the measure of the interior angle of the triangle at vertex (6, 7).

Call that angle, <A.

tan A = opp/adj

tan A = 6/3

A = 63.4°

The angle between the Serengeti Stream and the x-axis at the point (6, 7) is approximately 63.4°.

What is the right triangle?

A right triangle is defined as a triangle in which one angle is a right angle or two sides are perpendicular.

The equation of the straight line that goes through the points (0, 4) and (6, 7),

First, let's calculate the slope:

m = (7 - 4) / (6 - 0) = 3/6 = 1/2

Now we can use the point-slope formula with the point (0, 4) and slope m = 1/2:

(y - 4) = (1/2)(x - 0)

y = (1/2)x + 4

Next, we need to find where this line intersects the Crocodile River, which is represented by the x-axis.

Setting y = 0 in the equation above, we get:

0 = (1/2)x + 4

x = -8

So, the Serengeti Stream flows into the Crocodile River at the point (-8, 0).

The slope of the Serengeti Stream at (6, 7) is:

m = (7 - 4) / (6 - 0) = 1/2

The slope of the line perpendicular to the Serengeti Stream at (6, 7) is the negative reciprocal of the slope of the Serengeti Stream:

m_perpendicular = -1/m = -1/(1/2) = -2

So the equation of the line perpendicular to the Serengeti Stream at (6, 7) is:

(y - 7) = (-2)(x - 6)

y = -2x + 19

The arctangent of the slope:

angle = arctan(-2)

angle ≈ -63.4° (CCW)

Therefore, the angle between the Serengeti Stream and the x-axis at the point (6, 7) is approximately 63.4°.

Learn more about the right triangle here:

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You can buy 5 stickers for $3. Write a proportion that gives the
cost c if you buy 12 stickers.

Answers

Answer:

$7.5

Step-by-step explanation:

Let

Quantity of stickers=x

Price of stickers=y

5 stickers cost $3

12 stickers cost $y

x/y = x/y

5/3 = 12/y

Cross product

5y=12*3

5y=36

Divide both sides by 5

5y/5 = 36/5

y=7.5

12 stickers= $7.5

Therefore, the price of 12 stickers= $7.5

Verify the identity. cot(x - pi/2) = -tan(x)

Answers

Answer:

See below.

Step-by-step explanation:

[tex]\cot(x-\frac{\pi}{2})=-\tan(x)[/tex]

Convert the cotangent to cosine over sine:

[tex]\frac{\cos(x-\frac{\pi}{2} )}{\sin(x-\frac{\pi}{2})} =-\tan(x)[/tex]

Use the cofunction identities. The cofunction identities are:

[tex]\sin(x)=\cos(\frac{\pi}{2}-x)\\\cos(x)=\sin(\frac{\pi}{2}-x)[/tex]

To convert this, factor out a negative one from the cosine and sine.

[tex]\frac{\cos(-(\frac{\pi}{2}-x ))}{\sin(-(\frac{\pi}{2}-x))} =-\tan(x)[/tex]

Recall that since cosine is an even function, we can remove the negative. Since sine is an odd function, we can move the negative outside:

[tex]\frac{\cos((\frac{\pi}{2}-x ))}{-\sin((\frac{\pi}{2}-x))} =-\tan(x)\\-\frac{\sin(x)}{\cos(x)} =-\tan(x)\\-\tan(x)\stackrel{\checkmark}{=}-\tan(x)[/tex]

Puzzle corner
Look Before You Leap!
See how long it takes you to work out the
following:
(1 x2)×(3 x 4)×(586)×(7 x 8) x (
9×0)

Answers

Answer:

0

Step-by-step explanation:

Notice that the last factor is null (9×0)

So the result will be null since any number that is multiplied by 0 equals 0.

Ссппер
What is the image of (7, -2) after a reflection over the line y = -x?

Answers

Answer:

(2, -7)

Step-by-step explanation:

if the mean of 3 2 x 11 13 14 is 8 find the value of x​

Answers

Answer:

x=5

Step-by-step explanation:

To find the mean, add up all the numbers and then divide by the number of numbers

(3+ 2+x+ 11+ 13+14)/6 = 8

Multiply each side by 6

(3+ 2+x+ 11+ 13+14) = 48

Combine like terms

43+x = 48

Subtract 43 from each side

x =5

Answer:

[tex]\huge \boxed{{x=5}}[/tex]

Step-by-step explanation:

The mean is the average value of a data set.

[tex]\displaystyle \sf mean = \frac{sum \ of \ terms}{number \ of \ terms}[/tex]

The mean is given solve for x.

[tex]\displaystyle 8 = \frac{3+2+x+11+13+14}{6}[/tex]

Multiply both sides by 6.

[tex]\displaystyle 8(6) = \frac{3+2+x+11+13+14}{6} \times (6)[/tex]

[tex]48=3+2+x+11+13+14[/tex]

Combine the numbers on the right side of the equation.

[tex]48=x+43[/tex]

Subtract 43 from both sides.

[tex]48-43=x+43-43[/tex]

[tex]5=x[/tex]


HELP! SUPER URGENT!

A water sports store hires out wetsuits and diving equipment. The cost to hire a wetsuit is one-third of the cost to hire diving equipment.

Dave hired both a wetsuit and diving equipment for the same length of time and paid a total of $144.

How much did he pay for the hire of the wetsuit in dollars?

Answers

Answer:

Let the cost of hiring diving equipment be X

Given,

cost of hiring diving equipment=X

cost of hiring wet suit =1/3 of X

Total cost of both =$144

Now,

X+1/3X=$144

or, (3X+X)/3=$144 ( taking l.c.m.)

or, 4X/3=$144

or, 4X=$144*3

or, X=$432/4

or, X=$108

Therefore, he paid $36 which is 1/3 of x to hire wetsuit.

simplify 3^2/3 x 3^4/5

Answers

Answer: [tex]243/5[/tex]

[tex]3^2/3(3^4)/5\\=9/3(3^4)/5\\=3(3^4)/5\\=(3)(81)/5\\=243/5[/tex]

Answer
= 243/5


Explanation
= 3^2/3*3^4/5
= 9/3*81/5
Thus 3 divides 81 giving 27
So it becomes
= 9/1*27/5
9*27=243
Final answer 243/5

If sin Θ = 5 over 6, what are the values of cos Θ and tan Θ?

Answers

Answer:

Check explanation

Step-by-step explanation:

Sin∅=5/6

Opp=5. Hyp=6

Adj= (√6²+5²)

= √11

Cos∅=(√11)/6

Tan∅=5/(√11)

Answer: cos(theta) = sqrt(11)/6 ; tan(theta)=5/sqrt(11).

Explanation:
sin inverse is restricted to the first and fourth quadrant, so the other side of the triangle is positive sqrt(11) by the Pythagorean theorem.

Use the drawing tool(s) to form the correct answer on the provided graph. The function f(x) is shown on the provided graph. Graph the result of the following transformation on f(x). f(x) + 6

Answers

Answer:

[tex]f(x)=x+6 \\[/tex]

Step-by-step explanation:

The transformation is a translation 6 units up.

[tex]f(x)=x+6 \\[/tex]

We can use the parent function f(x)=x, which is a linear function to graph this function.

Then just translate the function 6 units up.

Answer:

on the x-axis to the left -1 and on the y-axis up 4

Step-by-step explanation:

Start from the -2 on the y-axis and go up on the y-axis 6 times and you should be at 4 on the y-axis. But to finish the problem you have to figure out the first line.

To do that start from the -2 on the y-axis then count up till its on a corner in the graph (rise 4 up on the y-axis then to the right once) so the fraction is 4/1

so rise 6 on the y-axis, you should be at 4 then use the formula rise/run 4/1

step 1 go up 6 times y-axis

step 2 use 4/1 rise from the 4 on the y-axis the run 1 to the right

It was 100% when I did it

Help me again please​

Answers

Answer:

answer C (0,-9)

Step-by-step explanation:

the line passes through (0,-9)

I got this wrong please help me get the right answer in the first little box marked in red. thx

Answers

Answer:

The inverse is 1/2x +2

Step-by-step explanation:

f(x) = 2x-4

y= 2x-4

To find the inverse

Exchange x and y

x = 2y-4

Solve for y

Add 4 to each side

x+4 = 2y

Divide by 2

x/2 + 4/2 = 2y/2

1/2x +2 = y

The inverse is 1/2x +2

How to solve this Pythagoras’

Answers

Answer:

Step-by-step explanation:

Hypotenuse = Length of  ladder = 10m

Distance between wall and end of the ladder at ground =   leg ²  = 2 m

Height of wall = x m

Use Pythagorean theorem

leg² +x² = 10²

2² + x² = 100

4 +x²    = 100

       x² = 100 -4

      x² = 96

      x = √96

       x  = 9.7979

      x = 9.798 m

Which is a factor pair of 72? 1. 12, 6 2. 14, 5 3. 23, 4. 24, 2

Answers

Answer:

1. 12, 6

Step-by-step explanation:

Your answer is 1. because you need to multiply them together to get the answer. In this case all you do is 12 × 6 = 72

Hope this helps!

how many squares would be in the 7th pattern?

Answers

Answer: I believe in would be 28.

Explanation:

Answer:

I would say that there would be 28 squares in the 7th pattern.

Step-by-step explanation:

If you look at how the pattern is gradually increasing every time you add the number located at the bottom to the previous pattern. So if that is the rule then you would add 7 more squares to the 21 squares in the 6th pattern. Then you add

21 + 7 and you get 28.

Ex: In the first pattern there is 1 square and then in the 2nd pattern you see that there is an additional 2 squares which is the number at the bottom of the actual pattern.

*Idk if this is the actual rule to the pattern so please do not come for me if I am wrong but this is the way my brain sees the patterns in the picture. I also went ahead and tried my theory for all the patterns in the picture and it works :)

I really hope that this helps you understand the question a bit more! :)


Which value is equivalent to


(7•5•2)^2 X ( 5^0 ) X 2-^9?
( 7•3 ) ( 2-^3)

Answers

Answer:

[tex]\frac{25}{144}[/tex]

Step-by-step explanation:

[tex](\frac{7 * 5 * 2}{7 * 3} )^2 * (\frac{5^0}{2^-3})^3 * 2^{-9}[/tex]

Simplified becomes;

[tex](\frac{10}{3})^2 * 2^3 * \frac{1}{2^9}[/tex]

Simplifying further gives; [tex]\frac{25}{144}[/tex]

Henry gathered data about the types of nuts in five handfuls of mixed nuts. The data he gathered is shown in the table. Select the points that represent this data.

Answers

Answer:

Look below.

Step-by-step explanation:

The location of the coordinate plane will be shown in the graph.

What is coordinate geometry?

Coordinate geometry is the study of geometry using the points in space.

Henry gathered data about the types of nuts in five handfuls of mixed nuts.

The data he gathered is shown in the table.

Handful     Number of peanuts       Number of other nuts

  A                           9                                        7

  B                           6                                        5

  C                           8                                        9

  D                           5                                        7

  E                            7                                        4

The graph is shown below.

More about the coordinate geometry link is given below.

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the adult human brain represents 2% of total body weight. write this percentage as a decimal.

Answers

Answer:

               2% = 0.02

Step-by-step explanation:

[tex]2\%=2\cdot\frac1{100}=\frac2{100}=0.02[/tex]

Answer:

2% as a decimal is 0.02

Step-by-step explanation:

A local high school held a two-day fundraiser selling lunches. The equations shown represent the amount of money the school collected during the two days. {12x + 4y = 15232x + 12y = 420 In the equations, x represents the cost of a chicken lunch and y represents the cost of a vegetarian lunch. Which is the cost of the vegetarian lunch?

Answers

Answer:

  11

Step-by-step explanation:

The two equations appear to be ...

12x +4y = 15232x +12y = 420

These can be solved for y using Cramer's rule:

  y = (152(32) -420(12))/(4(32) -12(12)) = -176/-16 = 11

The cost of the vegetarian lunch is 11.

_____

Comment on Cramer's Rule

For equations ...

  ax +by =c

  dx +ey = f

The solutions are ...

  x = (bf -ey)/(bd -ea)

  y = (cd -fa)/(bd -ea) . . . . note the denominators are the same expression

Once you memorize the pattern of products, this can be the simplest way to solve a pair of equations--especially if you only need one of the variable values.

Answer:

11

Step-by-step explanation:

quick mafs

A newborn blue whale weighs 3^7 an adult blue whale weighs 81 times a new way of the newborn how many kilograms does the dog blue away write your answer as a power of three

Answers

Answer:

3^11 kilogram

Step-by-step explanation:

We were told a newborn blue whale weighs 3^7

But an adult blue whale weighs 81 times a new way of the newborn this can be expressed below as

=81×3^7

This can be expressed in standard form as

3^4 × 3^7

Then we need to determine number of kilograms the adult blue whale weigh.

81=3^4

=3^11

Therefore, number of kilograms the adult blue whale weigh 3^11kg

ASAPPPPPP
What are the zeros of this function?
A. X4 and x 6
B. X-6 and x = 5
C. X-6 and xs-4
D. X 0 and x 4

Answers

x = 4 and x = 6

The zeros of a quadratic function are when the parabola crosses the x axis.

Here it crosses the x axis at x=4 and x=6

A travel agent is booking trips for tourists who travel from New York to Chicago. Tourists have three choices for how to travel from New York to Chicago. They can take an airplane for $350, a bus for $150, or a train for $225. Once they arrive in Chicago, they can travel by van to their hotel for $60 or take a cab for $40. If each option is equally likely to occur, what is the probability that a tourist will spend more than $300 on these 2 legs of the trip?

Answers

List all the different combinations with total cost:

Airplane  + van = 350 + 60 = $410

Airplane  + cab = 350 + 40 = $390

Bus + van = 150 + 60 = $210

Bus + cab = 150 + 40 = $190

Train + van = 225 + 60 = $285

Train + cab = 225 + 40 = $265

There are 6 different combinations.

There are 2 that are more than $300

The probability would be quantity higher than 300 / total combinations.

Probability = 2/6 = 1/3

Given: m∠V=103°, m∠VRT=71°, RS ∥ VU Find: m∠TRS, m∠U

Answers

Answer:

m∠U = 103° and m∠TRS = 6°

Step-by-step explanation:

In the given circle O,

Since, RS║VU, and VR is a transverse,

Therefor, m∠V + m∠R = 180° [Consecutive interior angles]

m∠R + 103° = 180° [m∠R = 103° given]

m∠R = 180° - 103°

m∠R = 77°

Since m∠R = m∠VRT + m∠TRS

77° = 71° + m∠TRS

m∠TRS = 77° - 71° = 6°

Quadrilateral RTUV is a cyclic quadrilateral.

Therefore, m∠U + m∠R = 180°

m∠U + 77° = 180°

m∠U = 180° - 77° = 103°

-10 + (-15) =
+
what do i do first​

Answers

Answer:

-15 then -10   = -25 we can only take one sign that accompanies the -10 and put in front of the brackets.

Step-by-step explanation:

-10 + (-15) = -25

just like (-15) -10 = 25

This is because ( ) is order of parenthesis Brackets first.

Answer:

-10 + (-15) is -25 and you do subtraction first.

Step-by-step explanation:

Since negative + negative is negative, you ignore the plus sign and continue with the equation. So -10 minus -15 is -25.

What is the measure of angle B?​

Answers

Answer:

b = 60

Step-by-step explanation:

The sum of the angles of a triangle are 180

80+40+b = 180

Combine like terms

120+b =180

Subtract 120 from each side

b = 180-120

b = 60

Answer:

60°

Step-by-step explanation:

Recall that all triangles have an interior angle sum of 180. In other words:

[tex]\angle A+\angle B +\angle C = 180[/tex]

Plug in the angle values we know:

[tex](80)+(40)+\angle B = 180\\120+\angle B =180\\\angle B = 60\textdegree[/tex]

The number of dollars in Teo's bank
account on Tuesday was 3 times as
much as the amount on Friday. How
many dollars were in the account on
Friday?

Answers

Answer:

y = $ x/3

Step-by-step explanation:

Let the amount of dollars in Teo's bank on Tuesday be $x and the amount in his bank on Friday be $y.

If the number of dollars in Teo's bank  account on Tuesday was 3 times as

much as the amount on Friday, this can be represented mathematically as;

x = 3y where y is the amount in his bank on Friday.

The amount of dollars in his account on friday will be gotten by dividing both sides of the equation by 3

3y = x

3y/3 = x/3

y = x/3

Hence the amount of dollars in his account on Friday is y = $ x/3

guy i need help with this question also i got lik 20 more questions coming yall way

Answers

Answer:

A

Step-by-step explanation:

A linear function is a straight line

b,c,d all have curves so they are not linear functions

Use slope-intercept form to graph each system of equations and solve each system.

Answers

Answer:

(0,3), graph is attached.

Step-by-step explanation:

We know that the first equation will increase 2 points in y for every 1 x, since the constant next to x is 2. We also know it's y-intercept will be 3.

As for the second equation, we know it will have no y and instead run through the y=3 line, crossing every value of x.

Graphing this, we see that these lines intersect at (0,3) so that's the solution to this system.

Hope this helped!

Simplify the expression: 3⋅6−2+2​

Answers

Hi there! Hopefully this helps!

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

Answer: 18.~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

|

|3 × 6 - 2 + 2.

|

|Multiply 3 and 6 to get 18

\/

18 - 2 + 2 = 18

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Subtract 2 from 18 to get 16.

16 + 2 = 18.

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Then, add 16 and 2 to get, you guessed it, 18!

Are these proportional? 10 books for $4.50; 15 books for $6.00


Answers

Answer:

no

Step-by-step explanation:

5 books are $2.50, mean that 10 books should only be $4.00 not $4.50. Also making the 15 for $6.00 only $5.50. All because 5 books would be $2.50.

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