What is the exact value of sin(345°)? 30 PTS, WILL DO BRAINLIEST
A) (sqrt3 + sqrt2)/2
B) (sqrt6 + sqrt2)/4
C) (-sqrt3 + sqrt2)/2
D) (-sqrt6 + sqrt2)/4
-Edge 2020

Answers

Answer 1

The value of  sin (345)=  (-sqrt6 + sqrt2)/4=  -0.2588

What is Trigonometry?

Trigonometry, the area of mathematics that deals with particular angles' functions and how to use those functions in calculations. There are six popular trigonometric functions for an angle. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant are their respective names and acronyms (csc).

Given:

sin (345)

Now, using Trigonometric identity

sin(a+ b)=sin a x cos b+ sin b x cos a

Now, expand 345= 300+ 45

sin(300 + 45)=sin 300 x cos 45+ sin 45 x cos 300

sin(300 + 45)= -√3/2 x √2/2 + √2/2 x  1/2

                     = -√6/4 + √2/4

                    =  -0.2588

Hence, sin (345)=  -0.2588

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Related Questions

Which best describes the clusters in the data set?

Number of Ripe Tomatoes on Each Plant in the Nursery
A dot plot going from 10 to 15. 10 has 1 dot, 11 has 1 dot, 12 has 4 dots, 13 has 5 dots, 14 has 4 dots, 15 has 6 dots.
There is no cluster in the data set.
There is one cluster at 13, 14, and 15.
There is one cluster at 12, 13, 14, and 15.
There are two clusters at 13 and at 15.

Answers

Answer:

its c

Step-by-step explanation:

i promise you

Answer:

Its c

Step-by-step explanation:

what number when added to 1 1/3 gives 2?​

Answers

Answer:

2/3

Step-by-step explanation:

The answer is 2/3 because 1/3 + 2/3 = 1. So when you take the 1 you already had and add the new 1 you get 2.

The number that can be added to 1 1/3 gives 2 is 2/3

Solution:

Subtract 1 1/3 from 2 to get the number

2 - 1 1/3

= 2 - 4/3

= (6-4) / 3

= 2/3

check:

1 1/3 + 2/3

= 4/3 + 2/3

= (4 + 2) / 3

= 6/3

= 2

Therefore, the number that can be added to 1 1/3 gives 2 is 2/3

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Jo Bob’s gyro truck sold 114 gyros for lunch on Wednesday. The driver sold 98 gyros at the first stop. At the next stop, the Jones family and the Brown family bought the remaining gyros, divided equally between the two families. Each gyro cost $2.24. How much did the Jones family pay for their gyros?

Answers

Answer:

they pay $17.92

Step-by-step explanation:

114-98=16

16÷2=8

8×2.24=17.92

Graph the line x=-1.

Answers

Answer:

The function x=−1 means that for all values of y , the value of x=−1 . This is represented by a vertical line at x=−1

Step-by-step explanation:

Answer:

Theres an mnemonic device: HOY/VUX

H - horizontal  

O - 0 slope

Y-axis

-

V-vertical

U- undefined slope

X-axis

So in this question, x=-1 would be a vertical line at x=-1

HELP ILL MARK BRAINLIEST
Please just do questions 4. And 5.

Answers

Answer:

1/8 will be 0.125 as a decimal so that is greater than 0.12! so it will be this [tex]1.8 \geq 0.12[/tex]

Answer:

Step-by-step explanation:

4. 1/8   > 0.12

5. -6/7  < -5/6

6. 3/10 + (-7/10) = -4/10= -2/5

7. -4/9 - 1/9 = -5/9

Need help ASAP!?

Which equation represents h?
A)
h = 20(sin35)
B)
B
h = 19.5(sin359)
C
h =
19.5
(sin35)
20
D)
20
h =
(sin35)
19.5

Answers

Answer: The correct answer is B) 19.5(sin35)

Step-by-step explanation:

I took the practice

PLEASE HELP ME! & FIND Y

Answers

Answer:

Y ≈ 59.0°

Step-by-step explanation:

Using the Cosine Rule in Δ XYZ

cosY = [tex]\frac{x^2+z^2-y^2}{2xz}[/tex]

Here x = 22, y = 20, z = 22, then

cosY = [tex]\frac{22^2+18^2-20^2}{2(22)(18)}[/tex]

         = [tex]\frac{484+324-400}{792}[/tex]

        = [tex]\frac{408}{792}[/tex] , thus

Y = [tex]cos^{-1}[/tex] ( [tex]\frac{408}{792}[/tex] ) ≈ 59.0° ( to the nearest tenth )

Each week, Stephanie is paid a $180 base salary and a 3% commission on her total sales generated for the week. Which expression represents her weekly income when Stephanie generates w dollars in total sales? 180 + 0.03 w 180 + 0.03 + w 180 (0.03) w 180 (0.03) + w i actually have one more

Answers

Answer:

180(.03)

Step-by-step explanation:

always multiply the percent

HOW DO YOU SOLVE THIS!!!:/

Answers

1.5 should be the number in the blank space. The x numbers are being multiplied by 1/2
It is 1.5 because all those other proportions are divided by 1/2. :)

HELP!! :{
Will crown you only real answers plz!!

Answers

i am going to be honest i kinda need puts to ask something myself if i could help you i would but i am not good in math

Pls help ASAP will give brainlist

Answers

Answer:

h,f,g I think I'm not sure maybe wait for the next person to make sure

F) F,G,H is your answer! :)

Step-by-step explanation:

Hope this helps

I figured this out because 90% of the time angles go clockwise so the smallest would be 8 inches, then it would got to the second smallest 9 inches, then it would go to the largest 11 inches

Tell me if i am correct or not! :)

Jamie spent $25 for a new Puma flip flop for her father as a Christmas gift. If tax is 8 percent, how much did she spend including tax?

Answers

Answer:

$27

Step-by-step explanation:

25 * 0.08 = 2

25 + 2 = 27

amount Jamie spent on shoes= $25
additional tax = 25 x .08
25+(25x.08)= $27
So, Jamie spent a total of $27

If y = 12 when x = 6, determine y when x = 18.

Answers

when x=18, y will be 36

Need help! Similarity of triangles

Answers

Answer:

x = 12

Step-by-step explanation:

Comparing corresponding sides of the 2 similar Δ 's inside the larger, then

[tex]\frac{x}{6}[/tex] = [tex]\frac{6}{3}[/tex] ( cross- multiply )

3x = 36 ( divide both sides by 3 )

x = 12

Johnny and Cage are working together to mold figurines for a craft fair. They already have 8 figurines which were left from the last craft fair. Johnny and Cage can mold 3 figurines every hour. Explain the reasons why this situation is linear.

Answers

Answer:

See Explanation

Step-by-step explanation:

Given

[tex]Initial = 8[/tex]

[tex]Increment = 3[/tex] (every hour)

Required

Explain why it is linear

First, we need to determine the equation that represents the scenario

Let x be the number of hours worked and y be the number of figurines at x hours.

The equation is determined as follows:

[tex]y = Initial\ Figurines + Increment * x[/tex]

This gives:

[tex]y = 8 + 3 * x[/tex]

[tex]y = 8 + 3x[/tex]

Reorder

[tex]y = 3x + 8[/tex]

A linear equation is of the form

[tex]y = mx + b[/tex]

By comparison,

[tex]y = mx + b[/tex] is equivalent to [tex]y = 3x + 8[/tex]

Hence, we can conclude that the situation is linear

Answer:

The situation can be described using the equation y = 3x + 8

The rate of change is not constant.

Step-by-step explanation:

Find the slope for me no?ill give more point for right answer​

Answers

Answer: 3/4

Step-by-step explanation:

Slope=rise/run

In this case: we rise 3 and run 4

The bakers at Healthy Bakery can make 240 bagels in 10 hours.

How many bagels can they make in one hour?

Answers

Answer is 24, 240 bagels devided by the hours, is 24 bagels

Answer:

30

Step-by-step explanation:

Minus 240 by 200

240 - 200 = 40

Then, minus 10

40 - 10 = 30

30/hour

Hope this helps :)

Daniel works no more than 16 hours a week while attending college. He wants to spend at least 2 hours but no more than 10 hours a week parking cars. He is paid $8 (x) and $7 per hour working at the Haul-mart store (y). What are Daniels maximum earnings?

Answers

Answer:

The maximum earning is $122

Step-by-step explanation:

The computation of the Daniel maximum earnings is as follows;

Since there is total of 16 hours

so 10 hours would be for parking cars and the remainig hours i.e.

= 16 hours - 10 hours

= 6 hours

This above hours for working at store

So,

= 10 hours × $8 + 6 hours × $7

= $80 + $42

= $122

Hence, the maximum earning is $122

2. 3m - 9n = 24 solve for m

Answers

Answer:

m=8+3n

Step-by-step explanation:

Move all terms that don't contain m to the right side and solve.

Hope this helps <3

how do you find the area of a square​

Answers

Multiply the two sides

to find the area of a square, take length x width.

example:

length= 2

width= 7

2 x 7= 14

A department store buys 300 shirts at a cost of 1,800 and sells them for $10 each. FInd the percent markup rounded to the nearet percent.

Answers

Answer:

167%

Step-by-step explanation:

1800/300=$6 apiece

6x = 10

10/6 = x

x = 1.67, or 167%

Jada was training for a race. She ran 1⅓ miles on Monday. On Tuesday, she only ran of ⅚ a mile. She decided to take the day off on Wednesday. Jada ran 2¾ miles on Thursday and ended the week with a 1½ mile run on Friday. How far did Jada run this week?

Answers

Answer: 5 5/12 miles

Step-by-step explanation:

The following are the distance covered by Jada for the week.

Monday = 1 1/3 miles

Tuesday = 5/6 miles

Wednesday = 0

Thursday = 2 3/4 miles

Friday = 1 1/2 miles

Total distance for the week will be:

= 1 1/3 + 5/6 + 2 3/4 + 1 1/2

The lowest common multiple of 3,6,4 and 2 is 12. The fractions will then be

1 4/12 + 10/12 + 2 9/12 + 6/12

= 3 29/12

= 3 + 2 5/12

= 5 5/12

Jada ran 5 5/12 miles this week

Need help please! I'll give you BRAINLESIT!​

Answers

Answer:try answer C

Step-by-step explanation:

That’s what I got when I did the math I could be wrong but I double checked.

Answer: most likely the second one

Step-by-step explanation:

how to find slope in a non proportional table

Answers

Answer:

Put the equation in the form y = mx + b.

Plot the y-intercept, (0,b).

Use the slope to find another point on the line.

Connect the two points in a straight line.

Step-by-step explanation:

Put the equation in the form y = mx + b.
Plot the y-intercept, (0,b).
Use the slope to find another point on the line.
Connect the two points in a straight line.

can someone help me​

Answers

Answer:

KN = LN

Step-by-step explanation:

JN and MN are equal to each other so the other lines KN and LN are also equal to each other

A line has a slope of 10 and passes through the point (0, 7). What is its equation in slope intercept form?

Answers

Answer:

slope is 10x

Y - intercept is 7

Step-by-step explanation:

The equation of the line whose slope is 10 and passes through the point (0, 7) is y = 10x + 7

What is the general equation of a Straight line?

The general equation of a straight line is -

[y] = [m]x + [c]

where -

[m] is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] is the y - intercept i.e. the point where the graph cuts the [y] axis.

The equation of a straight line can be also written as -

Ax + By + C = 0

By = - Ax - C

y = (- A/B)x - (C/A)

We have a line that has a slope of 10 and passes through the point (0, 7).

Assume the equation of the line to be -

y = 10x + c            {since m = 10}

For the point (0, 7), we can write -

7 = 10 x 0 + c

c = 7

So, the equation of the line will be -

y = 10x + 7

Therefore, the equation of the line whose slope is 10 and passes through the point (0, 7) is y = 10x + 7

To solve more questions on straight lines, visit the link below-

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if m=-2,then what is n in this equation ​

Answers

Answer:

n=-1

Step-by-step explanation:

Plug in m=-2 into the given equation and solve

5(-2 - n) =5n

Distribute the 5 to the -2 and -n

-10-5n=5n

Isolate the variable to one side by adding 5n to the right side of the equation.

-10=10n

Isolate the variable by dividing by 10 on both sides.

-1 = n

This is extremely hard for me please help

Answers

Answer:

dang that is hard

Step-by-step explanation:

Answer:

c. y=-3x+4

Step-by-step explanation:

to find slope

m= y2-y1

     -------

      x2-x1

I'm gonna use coordinates (-2,10) and (-1,7)

m=  10-7

      ----

      -1-2

m= -3

I'm gonna use coordinate (-2,10)

Now substitute into y=-3x+b to find the y value

10=-3(-2)+b

10 =6+b

minus 6 on both sides and y=4

An account grows at an annual interest rate of r, so it grow by a factor of x=1+r each year. The function gives the amount in the account after 4 years when the growth factor is x. What is the total amount in the account if the interest rate for the account is 3% each year?

Answers

Complete question :

An account grows at an annual interest rate of r , so it grows by a factor of x = 1+ r each year. The function A(x)= 800x^4 + 350x^3 + 500x^2 + 600x gives the amount in the account after 4 years when the growth factor is x.

1) What is the total amount in the account if the interest rate for the account is 3% each year?

Answer:

2,431.311498

Step-by-step explanation:

Given that:

Growth factor (x) = (1 + r) per year

If rate (r) = 3% = 0.03

x = 1 + 0.03 = 1.03

Amount in account after 4 years is given by the function :

A(x)= 800x^4 + 350x^3 + 500x^2 + 600x

Put x = 1.03 to obtain the total amount ;

A(1.03) = 800(1.03)^4 + 350(1.03)^3 + 500(1.03)^2 + 600(1.03)

= 2431.311498

Hence, total amount in account after 4 years = 2,431.311498

-5(-x – 3) - x + 2 = 1

Answers

I think that x equals -4
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