What is the value of sin(80%)cos(20°) - cos(80°)sin(20°)?

Answers

Answer 1

Answer:

[tex]\frac{\sqrt{3} }{2}[/tex]

Step-by-step explanation:

edge 2020

Answer 2

The value of sin(80) cos(20°) - cos(80°) sin(20°)= √3/2

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 common trigonometric functions for an angle. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant are their respective names and abbreviations.

Given:

sin(80) cos(20°) - cos(80°) sin(20°)

Using Trigonometric identity

sin ( A- B) = sin A cos B - cos A sin B

So, sin(80) cos(20°) - cos(80°) sin(20°)

= sin (80 - 20)

= sin 60

= √3/2

Hence,  sin(80) cos(20°) - cos(80°) sin(20°)= √3/2

Learn more about trigonometry here:

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Related Questions

Please help I’m struggling on this one

Answers

Answer:

2.2 use the cosine rule then substitute all the information

Answer:

Step-by-step explanation:

Use the law of cosines

a² = 3²+4²-2*3*4 cos 32°

a = √9 +16 -24 cos32°

a =√4.64684

a ≈ 2.2

Write three ratios equivalent to each ratio. Use tables to show your work. a) 3:4 b) 14:4

Answers

Answer:

3/4 is equal to 9/12 and 14/4 is equal to 56/12

Step-by-step explanation:

multiply both sides by 3

Answer:

a) 6:8, 9:12, 12:16

b) 28:8, 42:12, 56:16

Step-by-step explanation:

Help me plzzzzz mathhh

Answers

Answer:

yes

Step-by-step explanation:

Angle-Angle-Side (AAS) congruence

HTH :)

d=17 f=3 0.9d-2.7f
pls answer

Answers

Answer:

= 7.2

Step-by-step explanation:

0.9(17) -2.7(3) =

15.3 - 8.1=

=7.2

Which of the following expressions are equivalent to(x + 5)^2?

Check all the apply.

x^2 + 5x + 5x + 25

(x + 5)(x + 5)

x^2 + 25

x^2 + 5x + 10x

x^2 + 10x + 25

Answers

Answer:

[tex]x^{2} +5x+5x+25\\x^{2} +10x+25[/tex]

Step-by-step explanation:

[tex](x+5)^{2} =x^{2} +10x+25[/tex]

Anybody Know This. ?

Answers

Answer: 4 feet

Step-by-step explanation:

In order to determine the length of side, we need to use what is called the Pythagorean theorem, which states: a² + b² = c² The a and b in this equation are both of the sides of the triangle that we call legs. (I have attached a picture for reference if you do not know what sides I am referring to). The c in this equation refers to the hypotenuse of the triangle. (Again, please refer to the attached photo).

So now, we need to plug in the information we already know into this equation. The height of the ramp will be our a and the distance from the box will be our b. We can see that the hypotenuse (c) is labeled as 5, so we can fill in that information in our equation.

a²+b²=5² (simplify by squaring the 5)

a²+b²=25

Next, we know that the height of the box is 3 feet, which let's us know that our a is 3. Let's plug this new information in.

3²+b²=25 (simplify by squaring the 3)

9+b²=25 (simplify by substracting the 9 from both sides)

25 - 9 = 16

b²=16

Hey! Now our equation looks much simpler! Now, all we need to do it square root both of the sides in order to get b by its self.

b²=16

√b² = b

√16 = 4

Final answer: b = 4

I truly hoped this explanation helped! If you feel you still need a bit of help, David May explains the Pythagorean theorem very well in his video titled, "Find The Hypotenuse Using Pythagorean Theorem | Dave May Teaches" if you would like to check it out. Take care! :)

A basketball player averages 22.5 points scored per game with a standard deviation of 6.2 points. In one game, the number of points the athlete scored was 1.2 standard deviations below the mean. Which of the following is the z-score for the number of points scored?

–7.4
–1.2
1.2
7.4

Answers

Answer: -1.2 because I know

Step-by-step explanation:

Answer:

The person above me is right.

-1.2 is correct

ED2021

(all my homies hate stats, i do too)

please help me, when saying the answer please say why it is and show your work

Answers

Answer:

Step-by-step explanation:

The answer is 76 because:


8+9+10+11+18+20=76


All you have to do is add it all together

ron scored 20 out of 25 in english, 30 out of 40 in Science, and 43 out of 50 in mathematics. In which subject was his percentage the best? Must be a writing. Hurry PLS!!!!

Answers

Answer:

mathematics has highest %

Step-by-step explanation:

english %= (20/25)*100%

                =80%

science%=(30/40)*100%

              =75%

mathematics %=(43/50)*100%

                          =86%

As shown in the illustration, a starfish has the shape of a pentagon. Look at the illustration of the fruit. How many sides does this polygon have?

Answers

Answer:

Step-by-step explanation:

2

The sides this polygon have is 5 sides.

What is a polygon?

A polygon is a closed figure made up of three or more line segments connected end to end.

Any closed figure made by 4 line segments joined end to end in series is called a quadrilateral.

We are given  shown in the illustration, starfish that has the shape of a pentagon.

Since a pentagon is a polygon that has 5 sides.

Therefore, the sides this polygon have is 5 sides.

Learn more about vertex and apex;

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A construction company ordered 65 wood beams for a new project. Each beam was 27.3 ft long. What was the total length of all the beams put together? Write your answer in yards

Answers

1774.5 yards would be the answer:)

Answer:

591.5 yards because 27.3 multiplied by 65= 1774.5. there are 3 feet in a yard so 1774.5/3= 591.5 yds

Hello! Can anyone please tell me the measurement of t and v ? Any help is gladly appreciated.​

Answers

Answer:

Step-by-step explanation:

is this 8th grade math?

PLEASE HELP BEST ANSWER GETS BRAINLIEST:

Give detailed and step by step answer, show your work.

Find the value of x in each case:

Answers

Answer:

x = 17

Step-by-step explanation:

We are going to call the missing angle in triangle EDC, "y"

x+y+100=4x+49+y

Eliminate the "y" on both sides

x+100=4x+49

move the x by subtracting the x on the left from the right

100= 3x +49

Move the numbers by subtracting 49 from 100

51 = 3x

Divide both sides by 3

17=x

Answer:

x=17

Step-by-step explanation:

Hello! There are a few important pieces of information you need to keep in mind before trying to solve this problem:

The angles in a triangle ALWAYS add up to 180 degrees.All vertical angles are congruent (I have attached a photo incase you aren't away of what vertical angles are)

Now that we know these two pieces of information, we can begin to set up our problem. Because the angles in a triangle always add up to 180, we can set up the problem as follows:

x + 100° + ∠DCE = 4x + 49° + ∠ACB

Now this is where the vertical angles come in. Angles ∠DCE and ∠ACB are vertical, which makes them congruent. Since they are the same value, we can subtract them from either side of the equation. (NOTE: We can only do this because they are the same value. Subtracting angles of different values will mess up your answer!!!)

Now, we have the same problem in much simpler terms. We can now simplify it in order to get x.

4x + 49 = x + 100 (subtract 49 from both sides)

4x = x + 51 (subtract x from both sides)

3x = 51 (divide both sides by 3)

x = 17 (FINAL ANSWER)

I really hope this helped! Take care! :)

1
abc14
determine whether each expression is a monomial

Answers

Answer:

15

Step-by-step explanation:

abcdefghijknobeughriuwekhjtwu4igrjsnbei

i’ve looked everywhere for the answer, so please help a pimp out

Answers

Answer:

b

Step-by-step explanation:

10x - 8y =4

-5x + 3y = -9

Please solve with elimination i really need the help!!
please show work

Answers

Answer:

x = 6

y = 7

Step-by-step explanation:

Here, (10x - 8y = 4) and (- 5x + 3y = - 9) are two given equation

Now, Name the equation

10x - 8y = 4

take 2 as common we get

2(5x - 4y = 2)

5x - 4y = 2 ...(1)

- 5x + 3y = - 9 ...(2)

Now, Subtract (1) from (2)

5x - 4y = 2

- 5x + 3y = - 9

————————

- y = - 7

y = 7

Now, Put the value of y in equation (1) we get

5x - 4y = 2

5x - 4(7) = 2

5x - 28 = 2

5x = 28 + 2

5x = 30

x = 30÷5

x = 6

Thus, The value of x is 6 and y is 7

FOR VERIFICATION ONLY:

5x - 4y = 2

5(6) - 4(7) = 2

30 - 28 = 2

2 = 2

- 5x + 3y = - 9

- 5(6) + 3(7) = - 9

- 30 + 21 = - 9

- 9 = - 9

Hence, L.H.S = R.H.S

-TheUnknownScientist

If m∠ABD =64°, and m∠CBD = 30°, then m∠ABC =?

Answers

Answer:

34°

Step-by-step explanation:

angle ABC

= 64°-30°

= 34°

In the winter, a town has a low of -5⁰F. In the summer, the same town has a high of 98⁰F. what is the difference between the temperature?​

Answers

103 is your answer and i gotta put 20 words so dont mind the rest HAKAKALLALAMANANAKALSKDUIWIW

find m<1 and m<2

help ​

Answers

Answer:

m‹1 = 125°

m‹2 = 55°

Step-by-step explanation:

Corresponding angles, a linear pair, and a vertical angle.

This applies because there is a transversal (because it forms angles between the two lines) which cuts between two parallel lines (indicated by the red mark).

Can someone answer 7-11 for me by 12:00AM

Answers

Answer:

Step-by-step explanation:

7). x + y = 4 ⇒ y = 4 - x -----> xy = - 96

x(4 - x) = - 96 ⇔ x² - 4x - 96 = 0

D = ( - 4)² - 4(1)(- 96) = 400 = (20)²

[tex]x_{1}[/tex] = (- ( - 4) - 20) ÷ 2(1) = - 8

[tex]x_{2}[/tex] = ( - ( - 4) + 20) ÷ 2 = 12

Numbers are - 8 and 12

8). It's your turn now. You can do it

9). x² - 5x + 3 = 0

0 < [tex]x_{1}[/tex] < 1

4 < [tex]x_{2}[/tex] < 5

10). - x² + 3x + 1 = 0

-1 < [tex]x_{1}[/tex] < 0

3 < [tex]x_{2}[/tex] < 4

11). x² + 2x - 2 = 0

- 3 < [tex]x_{1}[/tex] < - 2

0 < [tex]x_{2}[/tex] < 1

Question 16 (1 point) (04.05 MC) The graph shows a journey in a car. Which of the statements most likely describes the start of the journey at the portion of the graph labeled I? (1 point) M M Distance (mi) N к Time (hr) a Ob The car travels the same distance per unit of time because the portion shows a linear, increasing function The car travels different distances per unit of time because the portion shows a linear, increasing function. The car travels the same distance per unit of time because the portion shows a nonlinear, increasing function Od The car travels different distances per unit of time because the portion shows a nonlinear, increasing function.​

Answers

Answer:

honestly i think it might be (C)

Step-by-step explanation:

write an equation in standard form that has an x-intercept of (2,0) and a y-intercept of (0,-4)

Answers

Answer:

Input work is the work done on a machine as the input force acts through the input distance. This is in contrast to output work which is a force that is applied by the body or system to something else. Output work is the work done by a machine as the output force acts through the output distance.Jan 15, 2020shd dhdbxhd shx xhd dhddhdxbxbd hx shs shs xhd dhd zud hx dhd ddbd

fdnhd dbsbs shsbdhd rurbf

dvdgdhmr.d

hdrbe

fbsv dbxusged

xbshr

fbdvd

3 3
What is the sign of +
?
5 5
cals
Choose 1 answer:
А
Positive
B
Negative
Neither positive nor negative-the sum is zero.

Answers

Answer:

I would help you but that's cheating cause your doing a test.

Step-by-step explanation:

If 7 toothpaste tubes cost $40.50 how much does one tubes cost?​

Answers

Answer:

According to my calculations, it should be 5.78

Step-by-step explanation:

I just used a calculator for this :b

Answer:$5.78

Step-by-step explanation:

Just divide 7 by 40.50

round 5035 to the nearest thousand. Enter your answer in the box below.​

Answers

Answer:

5000

Step-by-step explanation:

is 18/30 and 3/5 equivalant

Answers

Answer: Yes 18/30 is equivalent to 3/5 heres the picture

Sora paid $26.46 for 8.4 gallons of gasoline how much was each gasoline?

Answers

26.46/8.4 = $3.15 per gasoline
Money total divided by the gallons and you get the money value of each which was $3.15

What is the value of arccos⁡ (sin(pi/2))

Answers

Answer:

0

Step-by-step explanation:

the domain of the sine function is:

Answers

the domain of a sine function is from negative to positive infinity. The domain is written as (-∞,∞) in interval notion. It it the same thing as the domain is all real numbers.

hope this helped <3

Answer:

the domain of the function y=sin(x) ) is all real numbers (sine is defined for any angle measure), the range is −1≤y≤1 .

Step-by-step explanation:

Mr. Wilson has 30 students in his class. This is 12 more
students than Mr. Star has

How many students does Mr Star have

O A. ++30= 12
x=42 students
O B. **12=30
x= 72 students
O C. X+12=30
x=42 students
O D. x+12=30
x=18 students

Answers

Answer:

students of mr.wilson :30

students of Mr.star : 12 less than Mr.wilson

then, 30-12=18

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