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

Can someone help me please. Write the equation to show what would happen on the 9th term

Answers

it would be the 9th term equation

Hmingsanga sells a washing machine for Rs 13,500. He loses 20% in the bargain. What was the price at wich he bought it?

Answers

Answer:

10800

Step-by-step explanation:

Answer:

9220 Yan na ang true answer

Your cousin’s birthday is this weekend. You want to buy a CD that costs $12.99 and a birthday card that costs $2.50. You have saved $25. Write an inequality to find the most money you have for other spending.

Answers

Answer:

None

Step-by-step explanation:

It would be easier to ask your teacher instead of getting wrong answers from random people. Ever think of that :0

Use the graph to estimate the value of y when x=2.5

Answers

Answer:

I'm guessing: The value of y is 6.5

Step-by-step explanation:

Mark 2.5 on the x-axis between 2 and 3, then draw a line to meet the graph.

Or use the table , y=3x-1

y=3(2.5)-1

y=7.5-1

y=6.5

please mark BRAINLIEST...

A water tank has the shape of a horizontal cylinder with radius 1 meter and length 2 meters. If water is being pumped into the tank at a rate of 5 I cubic meters per minute, find the rate at which the water level is rising when the water is 5 C meters deep. Simplify your answer completely.

Answers

Step-by-step explanation:

The answer is dhdt=325πmmin.

With related rates, we need a function to relate the 2 variables, in this case it is clearly volume and height. The formula is:

V=πr2h

There is radius in the formula, but in this problem, radius is constant so it is not a variable. We can substitute the value in:

V=π(5m)2h

Since the rate in this problem is time related, we need to implicitly differentiate wrt (with respect to) time:

dVdt=(25m2)πdhdt

In the problem, we are given 3m3min which is dVdt. So we substitute this in:

dhdt=3m3min(25m2)π=325πmmin

At town has a population of 13000 and grows at 2.5% every year. What will be the population after 5 years, to the nearest whole number?

Answers

Answer:

the answer will be 14708

Answer:

14708

Step-by-step explanation:

Apply the formula:

Amount at time t in years =

(Starting amount)(1 + yearly per cent increase)^(Number of years) =

(13,000)(1 + 2.5%)^5 =

13000(1.025)^5 =

14708.3067676 =

14708, to the nearest whole number.

Find the equation of the line that goes through (-8,11) and is perpendicular to x= - 15. Write the equation in the form x = a, y = b, or y = mx + b.
The equation is
(Type the equation using integers or fractions. Simplify your answer.)

Answers

Answer:

y=11

Step-by-step explanation:

Hi there!

We want to find the equation of the line that passes through the point (-8, 11) and is perpendicular to x=-15

If a line is perpendicular to another line, it means that the slopes of those lines are negative and reciprocal; in other words, the product of the slopes is equal to -1

The line x=-15 has an undefined slope, which we can represent as 1/0, which is also undefined.

To find the slope of the line perpendicular to x=-15, we can use this equation (m is the slope):

[tex]m_1*m_2=-1[/tex]

[tex]m_1[/tex] in this instance would be 1/0, so we can substitute it into the equation:

[tex]\frac{1}{0} *m_2=-1[/tex]

Multiply both sides by 0

[tex]m_2=0[/tex]

So the slope of the new line is 0

We can substitute it into the equation y=mx+b, where m is the slope and b is the y intercept:

y=0x+b

Now we need to find b:

Since the equation passes through the point (-8,11), we can use its values to solve for b.

Substitute -8 as x and 11 as y:

11=0(-8)+b

Multiply

11=0+b, or 11=b

So substitute into the equation:

y=0x+11

We can also write the equation as y=11

Hope this helps!

(2 x 3) + (3 x 4) = ​

Answers

Answer:

18

Step-by-step explanation:

To answer, you want to follow PEMDAS:

P = parentheses

E = exponents

M = multiplication

D = division

A = addition

S = subtraction

So, the first step is parentheses, therefore we do whatever is inside the parentheses, and that is multiplying:

(2 * 3) + (3 * 4) =

6 + 12

Now, because there are no exponents, we cannot multiply anymore, and we cannot divide, we can add:

6 + 12 =

18

And that is our final answer!

Hope this helps :)

10(c–1)=80 i need help

Answers

Answer:

C =9

Step-by-step explanation:

10(c−1)=80

Step 1: Simplify both sides of the equation.

10(c−1)=80

(10)(c)+(10)(−1)=80(Distribute)

10c+−10=80

10c−10=80

Step 2: Add 10 to both sides.

10c−10+10=80+10

10c=90

Step 3: Divide both sides by 10.

10c

10

=

90

10

c=9

oliver sewed a quilt 3 2/3 feet long and 2 1/4 feet wide. what is the area of her quilt?

Answers

Answer:

8.25 feet

Step-by-step explanation:

3 2/3 times 2 1/4 equals 8.25

You are buying bottles of a sports drink mix for a softball team. Each bottle costs $1.19. What function rule models the total cost of a purchase? Evaluate the function for 15 bottles​

Answers

Answer: f(x) = 1.19x, where f(x) is the total cost, and x is the cost per bottle

Cost of 15 bottles: $17.85

Step-by-step explanation:

This question describes a straightforward relation between cost per bottle, and cost for all the bottles.  As such, simply equate one variable to the value of one bottle, and f(x) as the value of every bottle.

Hope it helps :) and let me know if you want me to elaborate.

P.S. f(x) can simply be substituted for "y"

Cost of each bottle=1.19$

Let

no of bottles be x

.The function is given by

[tex]\\ \sf\longmapsto f(x)=1.19x[/tex]

Now

Bottles=15

Cost:-

[tex]\\ \sf\longmapsto f(15)[/tex]

[tex]\\ \sf\longmapsto 1.19(15)[/tex]

[tex]\\ \sf\longmapsto 17.89[/tex]

Which measurement is equal to 24 kilograms

Answers

Answer:

24000 grams

Hard to explain. Hope this helped! Please give brainliest.

Answer:

yep

Step-by-step explanation:

can you plz help me with 2 & 4

Answers

The first question is yes are parallel and the second one is no thy are not parallel

The graph of f(x) =In x the y axis is the _____ asymptote.
a. vertical
b. horizontal
c. oblique

explain your thinking

Answers

Answer:

a) Vertical.

Step-by-step explanation:

There is no value of ln x <= 0.

The asymptote ix x = 0 (that is the y-axis).

vertical because of a axis

what is the value of y in the triangle?

Answers

Answer:

y = 3[tex]\sqrt{3}[/tex]

Step-by-step explanation:

Since sinθ = opp/hypoteneuse,

sin60 = y/6

y = sin60° * 6

= [tex]\frac{\sqrt{3} }{2}[/tex] * 6

≈ 3[tex]\sqrt{3}[/tex]

Hence, y = 3[tex]\sqrt{3}[/tex]

Hope this helps and be sure to have a wonderful time ahead at Brainly! :D

please please please help PLEASE PLEASE

Answers

Step-by-step explanation:

refer to the picture.. hope this helps :)

2x - 5y = 10
That is my question help please

Answers

Answer:

answer is 27 trust me. I can't explain step by step so please trust ma ans is27

plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz

Answers

Answer:

Its A

Step-by-step explanation:

took the test a while ago

jamie is 3 years less than three times Andys age. In five years the sum of their ages will be 59.How old are they now​

Answers

Answer:

Andy : 13 years old and

Jamie: 36 years old

Step-by-step explanation:

Andy = x

Jamie = 3x - 3

In 5 years:

(X+5)+(3x-3+5) = 59

4x + 7 = 59

4x = 59 - 7

x = 52/4

x = 13

find the next three term of sequence of 1,3,5,7,9,11,...​

Answers

The answer is 13 you’re adding 2 to each number

Need help asap pls pls pls

Answers

Answer:

why do you want to know

Step-by-step explanation:

hahahahahahahaha

solve the two-step equation. -1/3x-21/4=27/4

Answers

Answer:

x=(-36)

Step-by-step explanation:

Answer:

x = -36.

Step-by-step explanation:

-1/3x-21/4=27/4

-1/3x = 27/4 + 21/4

-1/3x = 48/4 = 12

x = 12* -3

x = -36.

which expression is the additive invers of -5/8
A. 8/5
B.5/8
C. -5/8
D. -8/5

Answers

Answer:

c because it came by its formula

the inverse of negative is positive, so given that
you can see that -5/8 is negative
so the only one which is the opposite is b
5/8

it’s the same thing just in the inverse

how to order you decimals from least to greatest

Answers

The least is the lower number
The greatest is the higher number

NEED ASAP hurry plz

Write a story that would explain the graph below.

Answers

Answer:

A kid leaping happily to home after school

The graph represents the relationship between height and time.

Given that,
A curve has been shown we have to explain the behavior of the curve.

What is a graph?

The graph is a demonstration of curves that gives the relationship between the x and y-axis.

Here,
The curve is shown, where the vertical axis represents the height above the ground and the horizontal axis represents the time. Let's assume a plane of paper is flying, the plane getting a rise and then a certain down and again rise and down as according to the height of the plane.

Thus, the graph represents the relationship between height and time.

Learn more about graphs here:

brainly.com/question/16608196

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can anybody help me with this?

Use this graph of f to find the solutions to f(x) = 0.

Answers

Another way to say f(x) is y, so y=0 at -2 and 10. :)

a tire on a toy car has a diameter of 8 cm. if the toy car travels 12560 cm, approximately how many times does the Tire rotate

Answers

The answer is 1,570 cm
Hope it helps

A swift is a bird that can fly 3 times faster than a wolf can run. A swift can fly 120 miles per hour. Which equation would be used to find how fast w, a wolf can run

120 x w = 3w

W x 3 =120

3 + w = 120

120 + 3 = 3

Answers

Answer:

It would be "W x 3 = 120"

Step-by-step explanation:

Why? Well, since a swift could run 120 miles an hour, that would be a necessity in the problem. It would be needed to find out how fast the wolf ran,  but, it cannot be the answer since we are trying to find out "how fast the wolf ran per hour". Right? No. Basically, you need to divide 120 by 3, which is 40. But which equals 40? None. Yes, none. No, to two answers. Why? Because you need to divide, so, the answer could be multiplication, but the opposite. You know if you know... Anyways, 120 x w = 3w is wrong due to the fact that it has no sign of division and the answer is way too large (I tried). 3 + w = 120 is definitely wrong. Why add? 3 + 40 is not 120. It's 43. Also, 120 + 3 is not 3, it's "123". So, the only answer left is "W x 3 = 120". But, how do we know that it's right? Well, think about it backwards. The swift is 3 times faster, so, the wolf times that 3 times faster is 120. And that is exactly what this problem is. By doing the problem backwards, we could find out that a wolf can run 40 miles per hour. Basically, 120 divided by 3, how much faster it is than a wolf, is 40. So, we could find out that a wolf could run 40 miles per hour.

Final Answer: W x 3 = 120

Answer:

The answer will be w×3=120

Bill and Ben each have three cards, numbered 1, 2 and 3. They each take one of their own cards. Then they multiply together the two numbers on the cards. a) What is the probability that their answer is an even number? b) What is the probability that their answer is a number greater than 5?​

Answers

The probabilities are given as follows:

a) Even number: 5/9.

b) Number greater than five: 1/3.

What are probabilities?

A probability is the division of the number of desired outcomes by the number of total outcomes.

Given that each person draws one card from a set of three, hence the total number of outcomes is given as follows:

3² = 9.

Using the Fundamental Counting Principle,

The nine outcomes are given as follows:

1 x 1 = 1.

1 x 2 = 2.

1 x 3 = 3.

2 x 1 = 2.

2 x 2 = 4.

2 x 3 = 6.

3 x 1 = 3.

3 x 2 = 6.

3 x 3 = 9.

There are five outcomes that end with an even number, hence the probability is of:

p = 5/9.

There are three outcomes ending with a number greater than five, hence the probability is of:

p = 3/9 = 1/3.

More can be learned about probabilities at brainly.com/question/14398287

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If you deposit $400 into an account that offers a 5% interest rate. How much interest will you earn after 1 year?

Answers

20.00

...............

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