What is the reference angle and cosine of StartFraction 7 pi Over 6 EndFraction ?

Answers

Answer 1

Answer:

[tex]\frac{\pi}{6}[/tex] radians

[tex]cos(\frac{7\pi}{6})=-\frac{\sqrt{3}}{2}[/tex]

Step-by-step explanation:

A reference angle is an acute angle between the terminal arm/terminal side and the x-axis. In this case, the reference angle is [tex]\frac{7\pi}{6}-\pi=\frac{\pi}{6}[/tex].

As for [tex]cos(\frac{7\pi}{6})[/tex], we can identify the value of it using the unit circle as attached below. Recall that points on the unit circle are defined as [tex](cos(\theta),sin(\theta))[/tex], so [tex]cos(\frac{7\pi}{6})=-\frac{\sqrt{3}}{2}[/tex].

What Is The Reference Angle And Cosine Of StartFraction 7 Pi Over 6 EndFraction ?

Related Questions

Determine whether the ratios form a proportion.
16/9, 28/15

Answers

Answer:

No

Step-by-step explanation:

One way of doing this problem is to reduce the given fractions as much as possible.  Unfortunately, neither ratio reduces.  So the fraction 16/9 is NOT equal to the fraction 28/15 and our conclusion must therefore be "the rations do not form a proportion."

Answer:

hope it helps 12 : 9 = 28 : 15

is FALSE

A scientist counted 3,921 total eggs in
49 sea turtle nests. Each nest had about
the same number of eggs. Which is the
best estimate of the number of eggs
she counted in each eggs?

Answers

The answer is 80 eggs:) if you divide 3,921 and 80 you get 49

13. Xander and Kennedy have a bet to see who can get more "friends" on a social media side after 1 month. Kennedy
has 11 more friends than Xander when they start the competition. After much work, Kennedy doubles her amount
of friends and Xander quadruples (4 times) his. In the end they have a total of 232 friends.

Answers

Answer:

Xander has 140 friends

Kennedy has 92 friends

Step-by-step explanation:

Let x represent # of friends Xander has at the start

Let x+11 represent # of friends Kennedy has at the start

Let 2(x+11) rep. the final # of friends Kennedy has

Let 4x rep. the final # of friends Xander has

Total = 232

So we just need to solve for x:

2(x+11) + 4x = 232

2x + 22 + 4x = 232

6x = 210

x = 35             < - This means that xander started with 4 friends.

Sub x to find friends for each:

4x = ?

4(35) = 140 friends

2(x+11) = ?

2(35+11) = 92

how do I write an equation of a line that is parallel to 2x-3y=15

Answers

The line given is -2x + 3y = 15, so we must rearrange:

=> 3y = 2x + 15
=> y = 2/3 x + 5

These two equations are EQUIVALENT, but one is in slope intercept form, the other isn't.

So in this case, gradient is 2/3 (or 2 units up, and 3 units across).

And we know that parallel lines have the same gradient. Hence, the general equation for lines parallel to it will be:

y = 2/3 x + n

where n can be any number (positive/negative, decimal/fraction/integer) except 5, which is original line.

For example, y = 2/3 x + 2

If 1/3 is classified as a rational number, does 10/3 fall on the same classification? Why and why not​

Answers

Answer:

Because it can't be written as a Ratio of two integers

What logarithmic function represents the data in the table?


x f(x)
216 3
1296 4
7776 5

Answers

Answer:

Step-by-step explanation:

216 =6^3

1,296 = 6^4

7,776 = 6^5

x = 6^f(x)

log x = log 6^f(x) = f(x)log 6

f(x) = log x / log 6 =

What is the difference between the yearly wages of the highest paying job and lowest paying job, assuming Araceli will be paid for working 40 hours a week, 52 weeks a year

Answers

Answer:

Is there a picture?? I need a picture

Step-by-step explanation:

-6(-5n+3)+2=-166

PLEASE HELP ;(((((((

Answers

Answer:

n = -5

Step-by-step explanation:

-6(-5n+3)+2=-166

distribute the -6

- 6 * -5n = 30n

-6 * 3 = - 18

30n - 18 + 2 = -166

combine like terms

30n - 16 = -166

add 16 to both sides

30n = -150

divide both sides by 30

30n/30=n

-150/30=-5

we're left with n = -5

you start by subtracting 2 from both sides and distributing the 6 inside the parentheses. this gives you 30n-18=-168. from there you add 18 to both sides to get 30n=-150. you next divide both sides by 30 to get your final answer of n=-5

HELP PLEASE!!
(It’s slope)

Answers

Answer:

Rate of change is correct; it's -3. And when the x-value is 8, the y-value is just a value, not a coordinate point. It's one number. -3 would not be the answer, and i dont know what the answer would be, but it's between greater than -14 and less than -23. Hope this helps!!

Step-by-step explanation:

Im not good at explaining things without it sounding very confusing... sorry.

My friend needs your help

Answers

Answer:

I can't make a graph, but you would start by putting a point at -1 on the Y axis, then plot the rest of the points by going up 4, and over 7 from the original point you plotted

Step-by-step explanation:

I hope you can make sense of that

r÷st r = 180, s = 5, t = 4

Answers

Answer:

[tex]r \div st \\ \\ 180 \div 5 \times 4 \\ \\ 180 \div 20 \\ = 9[/tex]

Step by step solution:

r ÷ st 180 ÷ 5 × 4180 ÷ 209

Express the ratio below in its simplest form.
72
:
36

Answers

Ratio 72 : 36

72/36 divide by 36 = 2/1 = 2:1

Simplest form

[tex]72:36 = \dfrac{72}{36} = \dfrac{36 \times 2}{36} = 2:1[/tex]

If something cost $37.80, how many tens would you give?

Answers

Answer:

4 tens

Step-by-step explanation:

3 tens would get you $30, which is $7.80 short. If you give 4 tens you are giving $40 which is 2.20 more than $37.80, which is okay as you can probably get change and it is the least amount of tens you can give to cover the cost.

the perimeter of a rectangle is 1000m. if the length is given as x , find the width in terms of x

Answers

[tex]\text{Given that,}\\\\\text{Perimeter = 1000 m}\\\\\implies 2(\text{Length} + \text{Width}) = 1000~ \text m\\\\\implies (x+ \text{Width}) = \dfrac{1000}2 =500~ \text m\\\\\implies \text{Width} =(500 -x) ~\text{m}[/tex]

How far dose a kangaroo travel in 2 minutes

Answers

According to my knowledge, kangaroo travelers 1.3 kilometers in 2 minutes

Find the product of (4z2 7z â€"" 8) and (â€""z 3). The product of (4z2 7z â€"" 8) and (â€""z 3) is â€""4z3 z2 z â€"" 24.

Answers

The product of both functions using the distributive law is [tex]-4z^3 + 5z^2 + 29z - 24[/tex]

We are to find the product of (4z^2+7x-8) and (-z+3)

Product  =  (4z^2+7z-8)(-z+3)

Using the distributive law:

[tex]P =4z^2(-z) + 4z^2(3) + 7z(-z) +7z(3)-8(-z) -8(3)\\P = -4z^3 + 12z^2 - 7z^2 + 21z + 8z - 24\\P = -4z^3 + 5z^2 + 29z - 24[/tex]

Hence the product of both functions using the distributive law is [tex]-4z^3 + 5z^2 + 29z - 24[/tex]

Learn more on product of functions here: https://brainly.com/question/25638609

Please help me fill in the blanks :) ​

Answers

Answer:

Absolute value is the distance from numbers on a number line. The absolute value of -7 is 7 b/c it is 7 units from 0. The absolute value of 5 is 5 b/c it is 5 units from 0.

A negative number is a number that is negative. On a horizontal number line negative numbers are to the left.

A positive number is a number that is positive. On a horizontal number line positive numbers are to the right.

I don't understand the last paragraph though. Hope this helped :D

Step-by-step explanation:

Plzzzz help meeee plzzzzzs

Answers

The answer is b because they are both the same length

There were 36 people in a school play. There were three times as many students in the play as teachers. How many students were in the play? How many teachers?

Answers

Answer:108

Step-by-step explanation:

36 times 3, right??

You invest $4,300 in an account that pays you an interest rate of 8.5%, compounded continuously. Calculate the balance of your account after 10 years. Round your answer to the nearest hundredth.

Answers

Answer:

The amount is $8358.7 and the interest is $3858.7.

Explanation:

STEP 1: To find amount we use formula:

A = total amount

P = principal or amount of money deposited,

r = annual interest rate

n = number of times compounded per year

t = time in years

Step-by-step explanation:

60 more boys than girls attended the school picnic. If at most 230 boys attended the picnic, how many girls attended?

Answers

Answer:

!70 girls

Step-by-step explanation:

230 - 60 = 170

hope this helps

What is the slope of the line?

Answers

Answer:

looks like 3/4

Step-by-step explanation:

$14,038 is invested, part at 14% and the rest at 12%. If the interest earned from the amount invested at 14% exceeds the interest earned from the amount invested at 12% by $984.34, how much is invested at each rate? (Round to two decimal places if necessary.)

Answers

Answer:

492.99

Step-by-step explanation: x = amount invested at 12%

y = amount invested at 9%

---

x + y = 20287

0.12x = 0.09y + 492.99

---

put the system of linear equations into standard form

---

x + y = 20287

0.12x - 0.09y = 492.99

The amount invested at 14% is $4144 and the amount invested at 12% is $9894.

What is simple interest?

Simple interest is a method of calculating the interest charge. Simple interest can be calculated as the product of principal amount, rate and time period.

Simple Interest = (Principal × Rate × Time) / 100

We are given that;

Investment at 14%= $14,038

Investment at 12%= $984.34

Now,

Let x be the amount invested at 14% and y be the amount invested at 12%. Then we have:

x + y = 14038 (total amount invested)

0.14x - 0.12y = 984.34 (difference in interest)

We can solve this system of equations by substitution or elimination. For example, by elimination, we can multiply the first equation by 0.12 and subtract it from the second equation to get:

0.02x = 82.88

x = 4144

Then we can plug x into the first equation and get:

y = 14038 - 4144

y = 9894

Therefore, the simple interest will be $4144 and $9894.

Learn more about simple interest here;

https://brainly.com/question/1548909

#SPJ2

An inground swimming pool contains 2.3 times 10 Superscript 4 units of water. Which unit of measure was used?
teaspoons
cubic centimeters
fluid ounces
gallonsCassie is measuring the volume of her fish tank to find the amount of water needed to fill it. Which unit of measurement should she use to eliminate the need to write the value in scientific notation? teaspoons inches gallons pounds

Answers

Answer:

  a) gallons

  b) gallons

Step-by-step explanation:

a)

1 fluid ounce is about 6 teaspoons or 30 cubic centimeters or 1.8 cubic inches. 2.3×10^4 fluid ounces is less than 1 cubic yard. We suspect the pool is much larger than that, so its volume is probably measured in gallons.

__

b)

Of the units listed, only teaspoons and gallons are units of volume. As we saw in the previous problem, a teaspoon is a pretty small volume in relation to the size of most fish tanks. The appropriate unit of measure would be gallons.

For 1-3 write an equivalent expression
1.) -3(7+5g)
2.) (x+7)+3y
3.) 2/9-1/5*x

Answers

[tex]\huge \bf༆ Answer ༄[/tex]

The equivalent expressions are ~

Question : 1

[tex] \sf \: - 3(7 + 5g)[/tex]

[tex] \sf - 21 - 15g[/tex]

[tex] \sf- 15g - 21[/tex]Question : 2

[tex] \sf \:( x + 7) + 3y[/tex]

[tex] \sf \: x + 7 + 3y[/tex]

[tex] \sf \: x + 3y + 7[/tex]Question : 3

[tex] \sf \dfrac{2}{9} - \dfrac{1}{5x} [/tex]

[tex] \sf \dfrac{10x - 9}{45x} [/tex]

Question : 1- 3(7 + 5g)−3(7+5g)

- 21 - 15g−21−15g

- 15g - 21−15g−21Question : 2( x + 7) + 3y(x+7)+3y

x + 7 + 3yx+7+3y

x + 3y + 7x+3y+7Question : 3 2 - 1

9 5×

10× - 9

45×

what is the domain of f? khan academy

Answers

Answer:

x cannot = -2

Step-by-step explanation:

if x = -2 then the denominator is 0 and a fraction with 0 as a denominator is undefined.

Answer:

A

Step-by-step explanation:

f(x) = [tex]\frac{x-3}{x+2}[/tex]

The denominator cannot be zero as this would make f(x) undefined.

Equating the denominator to zero and solving gives the value that x cannot be.

x + 2 = 0 ⇒ x = - 2 ← excluded value in the domain

The domain of f(x) is all real values of x such that x ≠ - 2

Sara earned 100 points in the first round of a game. She earned 20 points in each of the following rounds of the game. She ended the game with 400 points. Write and solve an equation to find the number of rounds Sara played.​

Answers

20x=400-100

20x=300

x= 300/20

15 rounds she played

Help plzzz!! Find the slope through these pairs of points
(5,-15),(12,2)
(-18,-20),(6,-5)
(-18,-19),(-17,-19)
(-1,3),(-11,-17)

Answers

We can use the formula y2-y1/x2-x1 to find the slope.

1. 2-(-15)/12-5 gives us 17/7. The slope is 17/7.

2. -5-(-20)/6-(-18) gives us 15/24. We can simplify this to 5/8. The slope is 5/8.

3. -19-(-19)/-17-(-18) is 0/1. The slope is 0.

4. -17-3/-11-(-1) is -20/-10. The slope is 2.

Which list is in order from least to greatest?

Answers

Answer:

6/10 , 5/8 , 2/3

Step-by-step explanation:

The 3rd one

6/10 , 5/8 , 2/3

if you simplify them into fraction it will be :

0.6 , 0.625 , 0.666

Maths Question:
Transformations

Answers

Step-by-step explanation:

I don't know what is the answer I can explain it

Answer:

(-2, 2) (-4, 2) (-4, 5)

Step-by-step explanation:

The coordinate for A are (2, 2) (4, 2) and (4, 5).

When you reflect across the x=axis the y coordinates become negative.

(2, -2) (4, -2) (4, -5)

y = x is a diagonal line through the origin, and all of the points change signs.

(-2, 2) (-4, 2) (-4, 5)

Plot the 3 points for the triangle.

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