Please help!! Why is sin(20) = sin(160) = -sin(200) = -sin(340)?

Answers

Answer 1

These relations all follow from the identity,

sin(x - y) = sin(x) cos(y) - cos(x) sin(y)

Notice that 160° = 180° - 20°, so if x = 180° and y = 20° above, we get

sin(160°) = sin(180°) cos(20°) - cos(180°) sin(20°)

We know sin(180°) = 0 and cos(180°) = -1, so we end up with

sin(160°) = sin(20°)

For the other, notice that 200° = 360° - 160°, and 340° = 360° - 20°.

Answer 2

Answer:

Step-by-step explanation:

sin 20 is the same as sin 60 because 180-60=20. sin 20 is the same as -sin200 because 200-180=20

sin 340 is the same as sin 20 because 360-340=20. So all four of these connect and they all equal 20. Also, they all equal .3420 (rounded)


Related Questions

the difference between 4 times more than 40 and 20

Answers

40 by 4 = 160
20 by 4 =80
160-80=80

select the correct solution for 6x = 30
(A) x = 24
(B) x = 1/5
(C) x = 5
(D) x = 36

Answers

Answer:

answer is (C) x = 5

I hope it helps you

:-))

There are two ways to solve this u can divide the 30 by 6 (30/6=5) or you can ask yourself what numbers times 6 is equal to 30? 6 time ? =30 which is also equal to 5.
So that would make (c) x=5 the correct answer

Please please please help!!!!!

Answers

Answer:

12 sheets

Step-by-step explanation:

Answer:

12 sheets

Step-by-step explanation:

A jar contains 25 coins of only dimes and quarters. The value of the jar is $4.45. Write the equation that represent the money value in the jar. Let d = dimes and q = quarters. Do not put any spaces in your answer.

Answers

Answer:

12

Step-by-step explanation:

What is the ratio of the length of one leg to the length of the other leg?

Answers

9514 1404 393

Answer:

  D.  1 : 1

Step-by-step explanation:

The ratio of the two legs in any isosceles triangle is 1 : 1. That is also true of this isosceles right triangle. (You can tell it is isosceles because the acute angles are identical in size.)

4. A man bought a clock for $6 000 and sold it to make a profit of 15%. What was his
selling price?​

Answers

Answer:

Step-by-step explanation:

he sold it for 900 dollars

hope it helps

Answer:

900

Step-by-step explanation:

If he got 15% of the profit so you would have to divide 15 divided by 2000 and your answer would be 900

Which is an example of a statistical question?

Questions
Question 1 What percent did Matti score on his English test?
Question 2 What letter grade did each person score on their English test?
Question 3 Who scored the best on their English test?
Question 4 Who scored the worst on their English test?
question 1
question 2
question 3
question 4

Answers

Answer: it’s 2!

Step-by-step explanation:

i got it right on edge 2021! good luck!

Answer:

the answer is 2

Step-by-step explanation:

A 12-foot ladder is placed 4 feet away from a house as shown.

A 12 foot ladder is leaning against a house to form angle x. The distance between the house and the bottom of the ladder is 4 feet. The angle between the house and the ground is 90 degrees.

What is the value of x, rounded to the nearest degree?

x ≈
°

According to the manufacturer, if the angle the ladder forms with the ground, x, is between 70° and 75°, then it meets safety standards.

Is this ladder being used safely?

Answers

Answer:

Answer:  x = 71 degrees. Yes, the ladder meets safety standards

Discussion:

The problem describes a right triangle with hypotenuse 12, the side against the ground is 4, and the angle between those two sides is "x".  For this triangle,

cosx = (side adjacent to angle) / hypotenuse

      =  4                                      / 12

      =   1/3

To find "x" take the inverse cosine of each side to find that :

x  is approximately 70.52 degrees. That's 71 degrees rounded to the nearest degree.

Step-by-step explanation:

HOPE THIS HELPED!

-

Answer: x = 71

yes

Step-by-step explanation:

How many solutions exist for the system of equations graphed below?

Answers

i canr see the graph

Part A :
Draw arrows on the graph below for RISE and RUN. *Remember to start at the left point.*

Part B :
Find the slope of the line from the graph above. *Don't forget to simplify!*

Answers

B don’t know 2 one:;;:::;;

I NEED HELP RIGHT NOW!!! please help me! i don understand this! :(

Answers

I agree with you BOOHOO

pleaseeeeeee help me this is a test for geometry, please read carefully before answering.

Answers

Answer:

1. A

2. A

3. C

4. C

5. A

Step-by-step explanation:

A movie theater has n rows and m seats in each row. If each ticket costs $5.60, how much do all tickets to one movie cost?

Answers

Hi there. Your name is Shruti right? I am guessing you are indian right? Because I am as well!

PLEASE HELP


Complete the square x² + 16.0

Answers

Answer:

x^2 + 16x + 32

Step-by-step explanation:

I am going to guess this is from factoring.

In which you need to x's multiplied together to get x^2. So you have:

(x+?) (x+?)

to get 16x you need two 8x's in your factoring square. so it would be

(x+8) (x+8)

Now you found out what you were mulitpling together, then you solve. The final part is multiplying 8 by 8, which is 32.

The field of study concerned with numbers, quantity, shapes and the relationships among them describes which of the following terms?

A.Division

B.Mathematics

C.Cooking

D.Measuring

Answers

Answer:

B: Mathematics

Step-by-step explanation:

rewrite the algebric expression using disstributive property

5(2x+7)

Answers

Answer: 10x +35 :) explanation: I did a test

Select all expressions equivalent to

6x - 24

• 6(x - 4)

• 2(3x - 24)

• 3(2x - 8)

• 3(3x - 21)

Answers

Answer:

6(x-4) and 3(2x-8)

tell me if i did it right

How do you write the fraction 5/8 as a decimal ?

Answers

Answer:

0.625

Step-by-step explanation:

Answer:

0.625

Step-by-step explanation:

Square ABCD has diagonals AC¯¯¯¯¯

and BD¯¯¯¯¯

. What is m∠ABD

A

180º

B

90º

C

45º

D

360º

Answers

Answer:

option (c)

Step-by-step explanation:

Given,

ABCD is a square.

AC and BD are diagonals

We know that,

Sides of the square make 90 degrees with each other.

And Diagonals bisect the opposite angles of the square.

Now,

[tex]\angle ABD = \dfrac{\angle ABC}{2}[/tex]

[tex]\angle ABC = 90^\circ[/tex]

[tex]\angle ABD = \dfrac{\angle ABC}{2}[/tex]

[tex]\angle ABD = \dfrac{90^\circ}{2}[/tex]

[tex]\angle ABD = 45^\circ[/tex]

Hence, option (c) is correct.

Consider the system
y= 4x-3
y= x+3

Answers

because she may be.sto probably ok so yeah

joseph is planting a garden. he plants 2 tomato plants for every 5 peppers. If joseph plants 14 tomato plants how many pepper plants does he plant?

Answers

Answer:

Ratio of tomato plant to that of pepper plant = 2:5

Let x be the number of pepper plants for 14 tomato plants.

Now, according to the question,

2:5 = 14:x

14×5 = 2x

x = 70/2 = 35 plants.

Step-by-step explanation:

So he/she would have 35 pepper plants to plant

PLEASE HURRY!!!!!!!
I PROMISE TO VOTE BRAINLIEST!!!!!!

Answers

it’s the last one. hjsksios
it is the last one ^^^^

Is this "N2 + 3H2 → 2NH3" balanced or no?

Answers

Yes, the equation “N2 + 3H2 = 2NH3” is balanced.

If you travel at 20km/h, how long does it
take to go 40km?

Answers

Answer:

2 hr

Step-by-step explanation:

Answer:

2 hrs

Step-by-step explanation:

If you travel 20 km in 1 hour, then whats 20 x 2? 40.


Select the correct answer.
What is V192 in simplest form?
OA. 32/3
OB. 3V
Ос.
OD
2748

Answers

Answer:

should be C 8v3

Step-by-step explanation:

hope this helps you

Answer:

8V3

Step-by-step explanation:

HELP PLEASEEE!! URGENT

Answers

Answer:

try socratic

Step-by-step explanation:

u need a phone for it to take the pics. are u can copy it and paste it to socratic on the computer. its an app

Helpppppppppppppppppp ILL MARK YOU BRAINLIST PLZ

Answers

Answer:

Through pythogoras theorem

a^2+b^2=c^2

20^2+16^2=c^2

c^2=400+256

c^2= 656

c= square root of 656

c=25.6 inches or 30 inches

Missing side 25.6 inches or 30 inches

c^2 = a^2 + b^2

c^2 = 16^2 + 20^2

c^2 = 256 + 400

c^2 = 656

Now, square root both sides to find the missing length of c or the hypontenuse.

Answer: c = 25.6 inches

what can go in the missing boxes?

Answers

Um I said

5 = 16

10 = 32

15 = 48

20 = 64

Answer:

20 boys can eat 64 slices of pizza.

Step-by-step explanation:

Boys        Pizza

  5             16  

 10             32

 15             48

 20           64

Write the sum, and then write an equivalent expression by collecting like terms and removing parentheses whenever possible.

d. The opposite of - 10t and t - 10t

Answers

Answer:

The sum is [tex]t[/tex].

Step-by-step explanation:

Consider the provided information.

The given expression are - 10t and t - 10t

We need to find the sum of the opposite of -10 t and t - 10t.

The opposite of -10 t is 10 t.

[tex]10t+(t-10t)[/tex]

Remove the parenthesis.

[tex]10t+t-10t[/tex]

Simplify the number

[tex]10t-10t+t[/tex]

Use Additive inverse.

[tex]t[/tex]

Hence, the sum is [tex]t[/tex].

What is the lcm of 6/8 and 4/32?

Answers

Answer:

Step-by-step explanation:

The LCM is 416. What is the least common multiple of 4 6 and 8? 4, 6 and 8 are small numbers and their LCM can be found out by writing their multiples:4: 4, 8, 12, 16, 20, 24, 28, 32,...6: 6, 12,...

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