Using the unit circle, what is the exact value of tan pi/6?

Answer:

Step-by-step explanation:

Draw a right triangle with the following conditions.

Make one of the acute angles come out to your right.

The adjacent side should be one of the sides that makes up the acute angle you just drew.

The adjacent side is also horizontal.

The other side is vertical at the left end point of the 15 cm side

The right angle is made by the two sides you have already.

Join the vertical end point to the horizontal endpoint not part of the right triangle.

Label the left side of the horizontal line as 25 degrees.

You are looking for the vertical line length.

The vertical line divided by the horizontal line length = tan(25)

vertical / 15 = tan(25)            Multiply both sides by 15

vertical = 15 * tan(25)

vertical = 15 * 0.4663

vertical = 6.995

Answer:

7 cm approximately

Step-by-step explanation:

A right triangle means one of the angles is 90 degrees. It tells one of the other angles is 25 degrees. It doesn't matter which one you call 25 degrees, just don't call the right angle 25 degrees:p.

We are given the adjacent side to 25 degrees. This is the side helping to create the angle whose measurement is 25 degrees. The other side helping to create the angle is the hypotenuse.

We are asked to find the opposite side to the 25 degree angle.

Since we are given the 25 degree angle, the adjacent side measurement=15 cm, and we are asked to find the opposite side measurement=x, we should use tangent ratio.

I like to refer to the acronym to help me remember which trig ratio to use: Soh Cah Toa.

So we need to solve tan(25)=x/15.

We can do this by multiplying both sides by 15 giving us 15tan(25)=x.

Now we punch it into our calculator giving us 6.995 cm approximately.

Answer:

a

Step-by-step explanation:

complementary angles sum to 90° , so

3x + 4 + 6x - 4 = 90

9x = 90 ( divide both sides by 9 )

x = 10

Answer:

(-7,-2)  

Step-by-step explanation:

y = 3x + 19

y = 5x + 33

Substitute in y. Basically set equal to each other.

3x + 19 = 5x + 33

-2x = 14

x = -7

y = 3 (-7) + 19

y = -21 + 19

y = -2

Answer:

y = -2

x = -7

Step-by-step explanation:

Substitute y= 5x + 33

5x + 33 = 3x + 19

Isolate x for 5x + 33 = 3x + 19: x = -7

For y = 5x + 33

Substitute x = -7

y = 5(-7) + 33

y = -2

So the solution is y= -2, x=-7

Answer:

the above answer help you.

i will solve it first i need full form

Answer:

When i tried solving it, there was no GCF except for 1.

However, the GCF of the numerator is 7

Answer

Step-by-step explanation:

y = -2x + 0

Therefore; y = -2x

The property of math they are learning is the distributive property

Answer:

linear i think

Step-by-step explanation:

exponential

Step-by-step explanation:

d, because the plastic has a difference of 2000 with respect to food

Answer:

A. 3.75 pounds

Step-by-step explanation:

16 ounces = 1 pound

converting 60 ounces to pounds

Let x = number of pounds

60 ounces = x pounds

Find the proportion

16 / 1 = 60 / x

Cross product

16 * x = 1 * 60

16x = 60

Divide both sides by 16

x = 60/16

x = 3.75

Therefore,

60 ounces = 3.75 pounds

Answer:

5) 15120

6) 11880

7) 336

Step-by-step explanation:

The formula for permutation where mPn is m!/(m-n)!

Applying this to question 5, we get 9!/4!, which is 15120.

For question 6, we get 12!/8!, which is 11880.

For question 7, we get 8!/5!, which is 336.

Answer:

0.5miles

Step-by-step explanation:

800meters is 0.497097miles

Round 0.497097miles to the nearest hundredth which would be 0.5 miles.

Answer:

10

Step-by-step explanation:

6 + h + 8 = 24

h + 6 + 8 = 24

h + 14 = 24

h = 24 - 14

h = 10

Answer:

13/15

Step-by-step explanation:

P(A∪B) = P(A) + P(B) – P(A∩B)

            = 2/3 + 4/5 - 3/5

 Getting a common denominator

            2/3 *5/5 + 4/5*3/3  - 3/5 *3/3

             10/15 + 12/15 - 9/15

             13/15

Answer:

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

Step-by-step explanation:

We know that,

P(AUB) = P(A) + P(B) - P(A n B)

So,

[tex]P(AUB) = P(A) + P(B) - P(A n B) \\ = \frac{2}{3} + \frac{4}{5} - \frac{3}{5} \\ = \frac{10 + 12 - 9}{15} \\ = \frac{22 - 9}{15} \\ = \frac{13}{15} [/tex]

hope this helps you.

Have a nice day!

Answer:

358

Step-by-step explanation:

the step by step is in the photo so look at it

Step-by-step explanation:

Only 1 number works. 1 will make 819 which is divisible by 9.

Since it is 1 of ten numbers can go in the blank, the answer is 1/10 which is 0.1

The 10 number choices are

0,1,2,3,4,5,6,7,8,9

The only one that works is 1 as I've stated.

Answer:

.324 or 18.9 degrees

Step-by-step explanation:

rule is

sine equals opposite over hypotenuse,

cosine equals adjacent over hypotenuse, and

tangent equals opposite over adjacent

OR

soh cah toa

sine = soh = 12/37 = .324

arcsin(.324) or sin^-1(.324) in DEGREES not radians =

18.9 degrees

Answer:

Step-by-step explanation:

The ages of Raju and Ravi are in the ratio 3:4 .Four years from now the ratio of their ages will be 4:5 . Find their present ages.

Ratio of ages at present = 3:4

Age of Raju = 3x

Age of Ravi = 4x

Age after four years:

Raju's age  = 3x + 4

Ravi's age = 4x + 4

Ratio of ages after four year = 4 : 5

3x +4 : 4x + 4 = 4 : 5

(4x + 4)*4 = (3x + 4)*5

16x + 16 = 15x + 20  

Subtract 16 from both sides

16x  = 15x + 20 - 16

16x = 15x + 4

Subtract 15x from both sides

16x - 15x = 4

 x = 4

Age of Raju = 3x = 3*4 = 12 years

Age of Ravi = 4x = 4*4 = 16 years

Answer:

Following are the solution to the given point:

Step-by-step explanation:

The formulated null hypothesis would be that the reported average do not differ significantly

[tex]H_o : \mu = \$3262\\\\H_a : \mu < \$3262 \ \text{(One tailed test)}[/tex]

Answer:

there would be many diffrent answers

Step-by-step explanation:

provide the full question, i can deduct that there are many ice cream flavors.

Answer:

Never going to give you up.

Step-by-step explanation:

We're no strangers to love

You know the rules and so do I

A full commitment's what I'm thinking of

You wouldn't get this from any other guy

I just wanna tell you how I'm feeling

Gotta make you understand

Never gonna give you up

Never gonna let you down

Never gonna run around and desert you

Never gonna make you cry

Never gonna say goodbye

Never gonna tell a lie and hurt you

We've known each other for so long

Your heart's been aching but you're too shy to say it

Inside we both know what's been going on

We know the game and we're gonna play it

And if you ask me how I'm feeling

Don't tell me you're too blind to see

Never gonna give you up

Never gonna let you down

Never gonna run around and desert you

Never gonna make you cry

Never gonna say goodbye

Answer:

a-1. Using semi-annually compounded interest rates of 4%, or 0.04, we have:

M15 = $2,389.13

M20 = $2,091.10

M25 = $1,929.54

a-2. Using semi-annually compounded interest rates of 5.5%, or 0.055

M15 = $2,841.49

M20 = $2,580.47

M25 = $2,450.28

a-3. Using semi-annually compounded interest rates of 7%, or 0.07

M15 = $3,329.35

M20 = $3,108.80

M25 = $3,009.40

b-1. It can be observed that there is a negative relationship between the month-end payment and the payment period.

b-2. It can be observed that there is a positive relationship between the month-end payment and the semi-annually compounded interest rate.

Step-by-step explanation:

The month-end payment for each period can be calculated using the formula for calculating the present value (PV) of an ordinary annuity as follows:

Mn = PV / ((1 - (1 / (1 + r))^n) / r) …………………………………. (1)

Where;

Mn = month-end payment for a particular year period = ?

PV = Present value or home value = $250,000

r = Monthly interest rate = semiannual interest rate / 6 months

n = number of months = Number of years * 12 months

Using equation (1), we have:

a. Calculate the month-end payment for 15-, 20-, and 25-year periods using semi-annually compounded interest rates of 4%, 5.5%, and 7% for each period.

a-1. Using semi-annually compounded interest rates of 4%, or 0.04

M15 = $250,000 / ((1 - (1 / (1 + (0.04/6)))^(15*12)) / (0.04 / 6)) = $2,389.13

M20 = $250,000 / ((1 - (1 / (1 + (0.04/6)))^(20*12)) / (0.04 / 6)) = $2,091.10

M25 = $250,000 / ((1 - (1 / (1 + (0.04/6)))^(25*12)) / (0.04 / 6)) = $1,929.54

a-2. Using semi-annually compounded interest rates of 5.5%, or 0.055

M15 = $250,000 / ((1 - (1 / (1 + (0.055/6)))^(15*12)) / (0.055 / 6)) = $2,841.49

M20 = $250,000 / ((1 - (1 / (1 + (0.055/6)))^(20*12)) / (0.055 / 6)) = $2,580.47

M25 = $250,000 / ((1 - (1 / (1 + (0.055/6)))^(25*12)) / (0.055 / 6)) = $2,450.28

a-3. Using semi-annually compounded interest rates of 7%, or 0.07

M15 = $250,000 / ((1 - (1 / (1 + (0.07/6)))^(15*12)) / (0.07 / 6)) = $3,329.35

M20 = $250,000 / ((1 - (1 / (1 + (0.07/6)))^(20*12)) / (0.07 / 6)) = $3,108.80

M25 = $250,000 / ((1 - (1 / (1 + (0.07/6)))^(25*12)) / (0.07 / 6)) = $3,009.40

b. What do you observe from your calculations?

Two things can be observed from the calculations:

b-1. At a particular semi-annually compounded interest rate, the month-end payment decreases as the payment period increases. This implies that there is a negative relationship between the month-end payment and the payment period.

b-2. At a particular payment period, the month-end payment increases as the semi-annually compounded interest rate increases. This implies that there is a positive relationship between the month-end payment and the semi-annually compounded interest rate.

Answer:

Yes

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

Point (1, 4)

y = 8x - 4

Step 2: Find

yes.

you just have to check like this: 1 is x and 4 is y.

4 = 8(1) - 4

4 = 8 - 4

4 = 4

hope it helps.

Also, I think that Brainly is an awesome app, but there's an app which is doing great work for me in maths, named Gauthmath. I will suggest it. Video concepts and answers from real tutors.

Answer:

y=-2x+6

Step-by-step explanation:

For this question, you need the slope-intercept form which is y=mx+b, where m is the slope and b is the y-intercept. We should first find the slope of the equation. The slope is the rise-over-run; this means that the slope is equal to the difference in y over x. One way to find the slope is to count the difference between the two coordinates or you can use the formula. Either way, the y decreases by 2, and the x increases by 1. Therefore, the slope is -2.

Then, find the intercept. One way to do this by plugging in one of the coordinates into the equation we have so far, y=-2x+b. So, plug 4 in for y and 1 in for x; 4=-2(1)+b. Next, solve for b. This equals b=6.

Finally, plug in the slope and intercept for the final answer, y=-2+6.