the equation tan (x+pi/6) is equal to

Answers

Answer 1

Answer:

(√3 tan x + 1) / (√3 - tan x)

Step-by-step explanation:

[tex]tan (x+\frac{\pi }{6})\\= \frac{tan x+\frac{1}{\sqrt{3} } }{1-\frac{tan x}{\sqrt{3} } } \\= \frac{\sqrt{3} tan x + 1}{\sqrt{3} -tan x}[/tex]


Related Questions

Identify the graph of the compound inequality (-2 <2x-6) (3x-12 510)

Answers

Answer:

Step-by-step explanation

just plug in 0 for z so it would change to -2<6

I need some help with this plz

Answers

Answer: acute angle

Step-by-step explanation:

Jim says that the square root of 200 is between 14 and 15. Do you think that is reasonable? Without using a calculator, can you help him make a more precise estimate?

Answers

Answer:

the answer is 14.14

Step-by-step explanation:

nye nye nye nye nye nye nye ​

Answers

Answer:

what question is this lol

Step-by-step explanation:

yes loving it your amazing hope your doing well in school

FIND XY
X(-7, 2) and Y(5, -6)

Answers

Answer:

X - ( - 4, 0)

Y - ( 0, - 8/3)

There it is my dear friend.

Answer:

[tex]-\frac{2}{3}[/tex]

Step-by-step explanation:

Sorry if i got it wrong...But let me know if it's right... if not I tried :(

14. slope = -1; through (-3,5)

Answers

slope m = diffy/diffx = (14-5)/(6-3) = 9/3 m = 3. Then here's an example. Write the equation of a line that passes through the given point

The force (F) needed to cause the acceleration (a) of an object of mass, m, is given by the equation, F=ma where m is the object’s mass. If a 12-Newton force causes the object to accelerate to 3 m/s2, what is that object’s mass? The unit for this mass is kg.

Answers

From Newton’s Second Law of Motion, the force needed to accelerate a moving object of mass m at acceleration a is given by ;

F = ma

In this case, m = 5kg, a = 6m/s^2 and we want to find F

F = 5 x 6

F = 30N

Therefore, a force of 30N is needed to accelerate a 5kg object at 6m/s^2.

Why do you subtract when money is withdrawn

Answers

Answer:

You subtract because you're taking away money when you're withdrawing.

Answer:

Because withdrawal means taking out money from a total amount of money. That is we take away.

How many milligrams are in a 2 tsp dose of liquid medication if there are 2.5 g in 2 fl oz?​

Answers

I think it’s 28 sorry if I’m wrong

Robert saved 15% of his paycheck
%
If he saved $30 how
,
muchi
his paycheck?
was

Answers

Answer:

$200

Step-by-step explanation:

Change 15% into decimal notation, that will give you 0.15

Divide $30 by 0.15

$30/0.15 = $200

Therefore, his paycheck was $200

May I please receive help?

Answers

Answer:

Equation of Parallel Line:  y = -7x - 44

Equation of Perpendicular Line:  y = x/7 - 8/7

Step-by-step explanation:

1) Parallel

Substitute (-6, -2) to find C

-2 = -7(-6) + c

-2 = 42 + c

-2 - 42 = c

c = -44

y = -7x -44

2) Perpendicular

Negative reciprocal

Substitute (-6, -2) to find C

-2 = 1/7(-6) + c

-2 = -6/7 + c

-2 + 6/7 = c

c = -8/7

y = 1/7x - 8/7 or

y = x/7 - 8/7

(a) It takes 32 pounds of seed to completely plant a 4-acre field. How many acres can be planted per pound of seed? Round to the nearest hundredth if necessary.​

Answers

Answer:

32/4

= 8

So 8 pounds for one acre

1/8 = 0.125 acres can be filled with one pound

Factor 1/2 out of (1/2d + 6)

Answers

Answer:

6/7

Step-by-step explanation:

i watched a video

Alice purchased 4 1⁄2 kilograms of olive oil for $27. What is the price per kilogram?

Answers

Answer: 6 dollars per kilogram

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

Explanation:

The mixed number 4 & 1/2 converts to the decimal form 4.5

The unit price is 27/(4.5) = 6 dollars per kilogram

------

If you wanted, you can think of it like this ratio

4.5 kg : 27 dollars

Dividing both parts of that ratio by 4.5 will lead to

1 kg : 6 dollars

PLEASE DUE IN 17 MINUTES

Answers

Answer:

No the lines are not perpendicular

Step-by-step explanation:

Slopes are not perpendicular reciprocals

They are perpendicular

The slopes of two perpendicular lines is when the two lines are negative reciprocals of each other.

Slope of a:

1 - -3
_____ = 4/10
5 - -5


Slope of b:
-6 - 4
_____ = -10/4
2 - -2

So yes.

Marie is choosing a bag of apples to make into a pie. She thinks the pie will be tastier if it has more apples. The bag of green apples weighs 4.75 pounds. The bag of red apples weighs 4.5 pounds.

Answers

Answer:

I don't know what the question is but there will be 9.25 pounds of apples?

Step-by-step explanation:

1. The weight of a newborn animal is given by the formula W = 3d + 9, where W is the weight

in grams and d is the number of days since hatching.

(a) What is the independent variable?

(b) What is the dependent variable?

(c) What will the weight of the newborn animal be 3 days after it hatches?

Answers

A. The independent variable is “d”, the number of days.

B. The dependent variable is the weight because it is dependent on the number of days.

C. To find the weight after 3 days just plug in 3 for “d”. You end up with W = 18 grams.

Please help!!
What is the scale on the x-axis ?
What is the scale on the y-axis?

Answers

I don’t know but have a awesome day

Solve for x. Remove the fractions first. 3/5(x-5)=-2/3

Answers

Answer:

x = 35/9 or 3 8/9

Step-by-step explanation:

removing the fractions implies using the distributive property, which is multiplying each term outside the parentheses by each term inside

in this problem, after distributing 3/5 we get:

3/5x - 3 = -2/3

we want to isolate the 'x' so we undo subtraction first by adding 3 to each side to get:

3/5x = 9/3 - 2/3

3/5 x = 7/3

x = 7/3 × 5/3

x = 35/9

3/5x = 7/3

we can get the 'x' by itself if we multiply each side by the reciprocal of 3/5, which is 5/3 to get:

x = 7/3 × 5/3

x = 35/3

Find the missing side of each triangle. Round your answers to the nearest tenth if necessary. (Please Show your work)

Answers

Answer:

x = 12.2 mi

Step-by-step explanation:

Given the two sides of the right triangle:

a = 6.1 mi

b = 10.6 mi

c = x

Use the Pythagorean Theorem to solve for the value of the hypotenuse, x:

c² = a² + b²

c² = (6.1)² + (10.6)²

c² = 37.21 + 112.36

[tex]\sqrt{(c^{2})} = \sqrt{ 37.21 + 112.36 }[/tex]

[tex]\sqrt{(c^{2})} = \sqrt{ 37.21 + 112.36 }[/tex]

c = 12.2 mi

Therefore, x = 12.2 mi

>> Answer

___________

[tex] \: [/tex]

[tex]\boxed{ \rm{answer \: by \: { \boxed{ \rm{☆HayabusaBrainly}}}}}[/tex]

Step by step :

x² = (10,6)² + (6,1)²

x² = 112,36 + 37,21

x² = 149,57

x = 12,22mi

4. Andrew likes to solve puzzles.
It took him 4.5 minutes to complete one puzzle with 18 numbers.
It took him 6 minutes and 24 seconds to complete a different puzzle with 32 numbers.
a
For each puzzle work out how many seconds it took Andrew to complete one number.
b
Use your answer to part a to decide which puzzle Andrew completed faster.

Answers

Answer:

Step-by-step explanation:

Andrew likes to solve puzzles.

 

       It took him 4.5 minutes to complete one puzzle with 18 numbers.

 

       It took him 6 minutes and 24 seconds to complete a different puzzle with 32 numbers.

 

       

 

a     For each puzzle work out how many seconds it took Andrew to complete one number.

 

b     Use your answer to part a to decide which puzzle Andrew completed faster.

1. Vinay applied the distributive property to the equation -5(m - 2) - 25. His equation then became --5m + 10 = -125. Did he apply the distributive property correctly?
Explain
Yes. When using the distributive property you need to multiply all the terms in the equation by the number that is in front of the parentheses.
No. The product of -5 and 25 is 125, not - 125.
No. Vinay also multiplied the right-hand side of the equation by --5, which is incorrect.
Yes. Vinay multiplied the terms on the left-hand side of the equation by -5, which is what you are supposed to do.

Answers

Answer:

C. No. Vinay also multiplied the right-hand side of the equation by --5, which is incorrect.

Step-by-step explanation:

Proper application of the property:

- 5(m - 2) - 25 = -5m - 5(-2) - 25 = -5m + 10 - 25 = -5m - 15

Vinay multiplied 5 and 25 as well, which is incorrect.

Correct answer choice is C.

limθ→π/4 (cosθ−sinθ​)/(θ– π/4)​

Answers

Answer:

-√2

Step-by-step explanation:

For the typing purpose I replaced θ with n in the calculation

[tex]\lim_{n \to \frac{\pi }{4}} \frac{cos n-sin n}{\frac{\pi }{4} } ...limits L'Hopital's Rule\\= \lim_{n \to \frac{\pi }{4}} \frac{-sin n-cos n}{1 } ... plug. in . \frac{\pi }{4} \\= - sin \frac{\pi }{4} - cos \frac{\pi }{4}\\= - \frac{\sqrt{2} }{2} - \frac{\sqrt{2} }{2}\\= \frac{- 2\sqrt{2}}{2} \\= - \sqrt{2}[/tex]

You should know the __________ and ___________ of all safety equipment.
PLS HELP ME!!!!

Answers

You should know the instructions and rules of all safety equipment

This is 3 of 3 problems I need help with

Answers

Answer:

x=65

Step-by-step explanation:

X =65

180-140= 40 the other inside angle next to the 140
180-40-25= 115 last inside angle of the triangle
180 -115= 65 angle x

Please help I need to turn this in tonight

Answers

Answer:

f(x) = - (x + 3)² + 12

Step-by-step explanation:

The vertex form:

f(x) = a(x - h)² + k, where (h, k) is the vertex of the parabola and a-  the leading coefficient

We have on the graph:

(h, k) = (-3, 12)

Substitute into equation:

f(x) = a(x - (-3))² + 12 = a(x + 3)² + 12

Use the point (0, 3) to find the value of a:

3 = a(0 + 3)² + 123 = 9a + 129a = 3 - 129a = - 9a = -1

So the function is:

f(x) = - (x + 3)² + 12

-2(x-4)=10x+2
show ur work​

Answers

Answer:

Step-by-step explanation:

-2(x-4) =10x+2

-2x--8= 10x+2

-2x+8= 10x+2

-2x+10x= 8+2

8x= 10

x= 0.8

Answer:

Step-by-step explanation:

To solve for x you first isolate the variable you want on one side. We will do this by using PEMDAS and expanding our terms fully first before we move our terms around.

[tex]-2(x-4)=10x+2\\-2x-8=10x+2[/tex]

We then isolate our term, remember to add numbers and variables to both sides so you aren't changing the value of the equation, and solve for x.[tex]-2x-8=10x+2\\-2x-8-2+2x=10x+2-2+2x\\-10=12x\\\frac{-10}{12}=x\\\frac{-6}{5}=x\\-1.2=x\\[/tex]

Pls help, I need it ASAP

Answers

180-70= 110
110-62= 48
48+90=138
180-138=42

ADB= 42

Sarah wants to
install new carpet in her living room.
The small square is tiled and will not be
carpeted. How many square yards of
carpet will she need?

Answers

Answer:

24 yd^2

Step-by-step explanation:

6yd * 4yd = 24 yd^2

1. (i) Describe the relations pictured below using the following categories: Trend (correlation): Positive (increasing) or negative (decreasing) Strength: Strong or weak
Type: linear, non-linear, no trend
(ii) Draw a line or curve of best fit for those relations that have trends.

Answers

Answer:

INCREASING, DECREASING, DECREASING, INCREASING, INCREASING, DECREASING

STRONG, WEAK, WEAK, STRONG, STRONG, WEAK

Step-by-step explanation:

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