Find an exact value.


sine of negative eleven pi divided by twelve.


A. square root of six plus square root of two divided by four.

B. negative square root of six minus square root of two divided by four.

C. square root of two minus square root of six divided by four.

D. square root of six minus square root of two divided by four.

Answers

Answer 1

Answer:

(√2 - √6) / 4

C. square root of two minus square root of six divided by four.

Step-by-step explanation:

sine of negative eleven pi divided by twelve.

We have :

sin(-11π/12)

sin((4 - 15)π / 12) = sin(4π/12 - 15π/12)

sin(4π/12 - 15π/12) = sin(π/3 - 5π/4)

Recall:

Angle difference formula:

sin(A - B) = sinAcosB - sinBcosA

Hence,

sin(π/3 - 5π/4) = sin(π/3) cos(5π/4) − sin(5π/4) cos(π/3)

From trigonometry:

sinπ/3 = √3/2

cos5π/4 = -√2/2

sin5π/4 = -√2/2

cos π/3 = 1/2

(√3/2) (-√2/2) − (-√2/2) (1/2)

-√6/4 - -√2/4

-√6/4 + √2/4

√2/4 - √6/4

(√2 - √6) / 4


Related Questions

Let v be a vector with initial point (-5, -11) and terminal point (6,2). What is v?

Answers

Answer:

It’s B

Step-by-step explanation:

Answer: It's B

Step-by-step explanation: i js took the test

I will give brainiest to whoever answers correctly !!
Please do not steal my points I'm tired of it put a legit answer or leave!! I will give brainiest to whoever answers correctly!!

Answers

Answer:

1.30182 for A

Step-by-step explanation:

26*0.05007

−9 ≤ −4; Add 13 to both sides

The resulting inequality is ____

Answers

4less then or equal to 9

can I have some help with this please?

Answers

Answer:

Is this Trig? If so I recommend using SOHCAHTOA, if not i have No way of helying you sorry

Step-by-step explanation:

The cost in dollars of making x items is given by the function C(x)=10x+800.

a. The fixed cost is determined when zero items are produced. Find the fixed cost for this item.

b. What is the cost of making 25 items?

c. Suppose the maximum cost allowed is $3300. What are the domain and range of the cost function, C(x)? (In interval Notation)

Answers

C(x) = 10x+500

A. C(O)=A 10.0+500. = 500.e

B. C(25) = 10.25+500 =750

C.c(x)=1500=10x+500

I really need help with this Triangle problem. ​

Answers

Answer:

x = 10

y = 20

Step-by-step explanation:

[tex] \tan \: 30 \degree = \frac{x}{10 \sqrt{3} } \\ \\ \frac{1}{ \sqrt{3} } = \frac{x}{10 \sqrt{3} } \\ \\ \sqrt{3} x = 10 \sqrt{3} \\ \\ x = \frac{10 \sqrt{3} }{ \sqrt{3} } \\ \\ x = 10 \\ \\ \cos 30 \degree = \frac{10 \sqrt{3} }{y} \\ \\ \frac{ \sqrt{3} }{2} = \frac{10 \sqrt{3} }{y} \\ \\ y = 10 \sqrt{3} \times \frac{2}{ \sqrt{3} } \\ \\ y = 10 \times 2 \\ \\ y = 20[/tex]

please help :(
i will mark your answer as a brainiest !!

Answers

Answer:

[tex]12a^{7}b^{9}[/tex]

Step-by-step explanation:

The laws of exponents state that when multiplying exponents of the same base, you can add the exponents. Therefore, [tex]a^{3}*a^{6}=a^{3+6}[/tex], or [tex]a^{9}[/tex]. Same with the b's. [tex]b^{2}*b^{5}=b^{7}[/tex]. Multiplying 4*3 is easy; 12. Multiply all together and you get [tex]12a^{9}b^{7}[/tex].

how many time does 80 fit into 415

Answers

Answer:

5 times

Step-by-step explanation:

have a good day/night :)

Answer:

5.19 times

Step-by-step explanation:

just divided 145 by 180

Marco took a math quiz last week. He got 17 out of 67 problems correct. What percentage did Marco get correct

Answers

Answer:

25.37%

Step-by-step explanation:

fillerfillerfillerfiller

5.3.PS-/
Simplify the expression.
-
-2.8f + 0.8f – 16 - 9

Answers

=-2f-25 is your answer

i need help plzzzzzzz

Answers

isn’t it 12?

25-13

If it’s multiplication, do 25/13

Answer:

12

Step-by-step explanation:

25-13= 12

Dude I need a Moderator
My points are stuckkk.

Answers

i’m confused on what you mean
Oh that has happened to people I know they just delete the app and log back in

There are 16 tablespoons in one cup. Which table correctly relates the number of cups to the number of tablespoons?

Answers

Answer:  The first table

Step-by-step explanation:

1:16

2:32

4:64

8:128

Answer:

The first one that goes 1-8 under the cups.

Step-by-step explanation:

Since theres 16 tablespoons in 1 cup, it goes up by 16 per cup. So, for 2 cups, it's 2 x 16, for 3 cups, its 3 x 16, and so on. If you were to do that the first table is the only one that matches.

The slope is m=2...y-intercept, b=5.
What would be the equation?

Answers

5=2x+b will be the equation because y=mx+b

What is the measure of x

Answers

Answer:

35°

Step-by-step explanation:

A mathematics professor created a test that was supposed to be mostly easy except for two challenging problems. The scores of the students are shown in the dot plot below. What was the most common score?

Answers

Can you show the graph? I will do my best to answer

Answer:

Depends how many questions there is.

Step-by-step explanation:

Draw stars and pentagons in the ratio 4 : 2.

Answers

☆☆☆☆☆☆☆

Your stars

⬠⬠⬠⬠⬠⬠⬠⬠⬠⬠

And pentagons

( i cant put them at a ratio though sorry :< )

From the age of person.if two fifth of his age is subtracted the result becomes 24 years. Find his age

Answers

Answer:

60

Step-by-step explanation:

24:2 /5=24*5/2=60

please explain how to do this system of equations 2y=6x+10 y=2x+4

Answers

Answer:

x=-1, y=2

Step-by-step explanation:

Given:

2y=6x+10

y=2x+4

Substitution for y into first equation:

2(2x+4)=6x+10

4x+8=6x+10

0=2x+2

2x=-2

x=-1

y=2(-1)+4

y=2

What is 4 to the -2 power divided by 4 to the 4th power

Answers

Answer:

4 to the -2 power divided by 4 to the 4th power

[tex] \frac{ {4}^{ - 2} }{ {4}^{4} } = \frac{1}{( {4}^{2} \times {4}^{4} ) } = \frac{1}{ {4}^{(2 + 4)} } = \frac{1}{ {4}^{6} } = \frac{1}{4096}\\ [/tex]

(1/4096) is the right answer.

Simplify
6^7 /6^5
leaving your answer in index form.

Answers

Answer:

36

Step-by-step explanation:

Which of the following is a rational number?
V80
А
10
B
V225
С
7184
D
T

Answers

10 and 7184 because they are the ones with actual numbers
the answer is 10 and 7184 because out of all the other answer choices they are the only number without a variable.

Find the simple interest payable on a deposit of ₹20,000 at 12% per annum over a period of 4 years.​

Answers

Answer:

The simple interest accumulated  on a principal of ₹20,000  at a rate of 12% per year  for 4 years is ₹9600.

Step-by-step explanation:

Given

Principle P = ₹20,000

Rate r = 12% per annum = 0.12 per annum

Time period t = 4 years

To determine

Simple Interest I = ?

Using the simple interest formula equation

I = Prt

substituting P = 20000, r = 0.12, t = 4

I = 20000 × 0.12 × 4

I = ₹9600

Therefore, the simple interest accumulated  on a principal of ₹20,000  at a rate of 12% per year  for 4 years is ₹9600.

PLEASE HELP will give brainliest.

Answers

Answer:

1. C

2. D

3.C

4.A

i think thats the answer.!

Select the correct answer. Which equation represents the vertical line passing through (14,-16)? A. X = -16 B.y=-16 C.x=-16 D.y= 14​

Answers

Answer:

c.x=-16

Step-by-step explanation:

i think so...........ggggfewaaaaaa

Answer: x = 14

Step-by-step explanation:

After the point B(2, 3) is translated along the vector <5, 7> the image will be located at ?

Answers

Answer:

(7, 10)

Step-by-step explanation:

The vector has an x component of 5 and a y component of 7, so we can add each of these components to the coordinates of B to get its image:

B(2,3)

B'(2 + 5, 3 + 7) = B'(7, 10)

The image will be located at (7, 10).

What is vector?

Vectors, in Maths, exist as objects which have both, magnitude and direction. Magnitude determines the size of the vector. It exists described by a line with an arrow, where the length of the line exists the magnitude of the vector and the arrow displays the direction.

The vector has an x component of 5 and a y component of 7, so we can add each of these components to the coordinates of B to get its image:

B(2,3)

B'(2 + 5, 3 + 7) = B'(7, 10)

To learn more about vector refer to:

https://brainly.com/question/17388579

#SPJ2

1.) The soccer field at Trey's school is 110 --- long
a) millimeter
b) centimeter
c) meter
d) Kilometer

Answers

Answer:

c) meter

Step-by-step explanation:

Millimeters and Centimeters are too short of units for a soccer field, and kilometers are too big.

Answer:

meter

Step-by-step explanation:

centimeters are way to small and millimeter is also way to small kilometer Is to big so it has to be a meter

it takes 1 minute to bake 6 cookies how many cookies could you bake in 2 minutes

Answers

U could bake 12 cookies I think

Solve the quadratic equation below :
2x^2 + 12x =66

Answers

Answer:

-3 + sqrt 42

-3 - sqrt42

Step-by-step explanation:

assuming you want me to factor it and then find the roots:

2x^2 +12x-66

2(x^2 + 6x-33)

2
Which of the following is true when ordering the following numbers on a horizontal number line?
-1, -, -1.2
OA. -1.2 is to the right of -1, and -1 is to the right of -
ОВ.
-1.2 is to the right of -1, and -1 is to the left of -
OC. -1.2 is to the left of -1, and -1 is to the right of
OD. -1.2 is to the left of -1, and -1 is to the left of
Reset
Submit

Answers

Answer:

-1.2 is the right of -1, and -1 is to the left of - OC .

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