Find the value of sin20 × sin30 × sin40 × sin80.


Please I need answers...​

Answers

Answer 1

Answer:

3/16

Step-by-step explanation:

Prove that sin 20 ×sin40 × sin60 × sin80 = 3/16.

We have to prove sin 20 × sin40 × sin60 × sin80 = 3/16.

Consider LHS

sin 20 × sin 40 × sin60 × sin80

Sin Values

In trigonometry, the sine function can be defined as the ratio of the length of the opposite side to that of the hypotenuse in a right-angled triangle. The sine function is used to find the unknown angle or sides of a right triangle.

We know the trigonometric values of sin function

Proof

Consider LHS

sin 20 × sin 40 × sin60 × sin80

= sin60 [sin20 × sin40 × sin80]

= √3/2[sin20 × sin(60 – 20) × sin(60 + 20)]

= √3/2[sin 3(20)/4]

= √3/2[sin 60/4]

= √3/2[√3/2 × 4]

= √3/2 × √3/8 =  3/16

∴ LHS = RHS

Hence proved

Find The Value Of Sin20 Sin30 Sin40 Sin80. Please I Need Answers...

Related Questions

Help!!! Which of the following situations dose not have the same unit rate as the graph shown

Answers

Answer:

the answer is F

Step-by-step explanation:

one of the point is 2,10 and the costant would be 5 so g would be 30/6 which is 5 h would be 45/9 which is 5 and j would be 10/2 which is 5 so f is the correct answer because it foesnt have the same unit ratr

Equivalent ratio for 3:7 is

Answers

given:

3 : 7

to find:

equivalent ratios for 3 : 7.

solution:

6 : 14

9 : 21

12 : 28

15 : 35

18 : 42

( to find equivalent ratios just multiply or divide both the sides by the same number. )

Answer:

The answer is 6:14, 9:21,  12:28, 15: 35, and 18:42

Step-by-step explanation:

What you need to do is take the ratio and you can turn it into a fraction!so take 3:7 and turn it into 3/7now from there you just need to multiply the numerator and the denominator by the same number and it will always equal the ratio of 3:7

EXAMPLE-- 3/7 and multiply the numerator and denominator by 5 to get 15:35 THIS IS TRUE

Need help DONT understand can someone answer

Answers

Here you go :)) have a good day/night

Find the surface area of the prism. Write your answer as a fraction or mixed number
2/3ft
2/3ft
2/3ft

Answers

12.94 is the total surface area lateral surface area 8.94 bottom surface area is 4

Fill in the blanks to complete the equation that describes the diagram.

Answers

Answer:

-3+-3=-6

Step-by-step explanation:

start from the right go to the left.

+- = a negative gain

Find f(x) and g(x) such that h(x) = (fog)(x). Let g(x) = 7x + 2.

h(x) =6/square root of (7x+2)

Answers

Answer:

f(x) = 6√7

Step-by-step explanation:

f{g(x)}=h(x)

f(7x+2)=6√7x+2

let y = 7x+2

x= (y-2)/7

f(x)= 6 √7(y-2)/7+2

Thus, f(x) =6√7

80, 85 ,53 , 68 , 99, 87 73, 88, 75, 76, 78, 79, 91 , 95 compute mean of the data

Answers

The computer what of the mens of the data would have to to be 87

Answer:

80.5

Step-by-step explanation:

80 + 85 + 53 + 68 + 99 + 87 + 73 + 88 + 75 + 76 + 78 + 79 + 91 + 95 = 1,127

 mean = total sum / numbers of numbers

  mean = 1,127 / 14

    = 80.5

A tent is in the form of a right circular cylinder surmounted by a cone. The volume of the tent can be modeled by the function V(r) = 8πr2 + πr3, where r is the radius in feet. For what value of r does the tent have a volume of 311 ft3?

Answers

Answer:

Check this explaination below

Step-by-step explanation:

Check the attached picture

Find the inner diameter of the washer.

Answers

The inner diameter of the washer is 7/10 inch, this value is gotten by multiplying the path by 2 and subtracting the result from the outer diameter

Mensuration of Shapes

Given Data

Outer Diameter = 1 inchPath Distance = 3/20 inch

The inner diameter

= Outer Diameter - 2*Path Distance

= 1 - 2*3/20

= 1- 6/20

= 1- 3/10

= 1/1 - 3/10

Find the LCM we have 10

= 10-3/10

= 7/10 inch

Learn more about shapes here:

https://brainly.com/question/25965491

After a product recall, a company solicits feedback from a random sample of 100 customers regarding their opinion about the company since the recall. Customers were asked, "Do you approve, disapprove, or have no opinion about the company?” The public relations department is concerned that the opinions may be equally distributed across these three options. The survey reveals that 38 customers approve, 45 disapprove, and 17 have no opinion. They decide to carry out a test of significance to determine if there is convincing evidence that the distribution of opinion in the population is equally distributed across the three options. What is the value of the chi-square test statistic and the P-value of this test?

Find the chi-square table here.

χ2 = 7.77, P-value is between 0.02 and 0.025
χ2 = 7.77, P-value is between 0.05 and 0.10
χ2 = 8.54, P-value is between 0.01 and 0.02
χ2 = 8.54, P-value is between 0.025 and 0.05

Answers

The value of the chi-square test statistic and the P-value of this hypothesis test is χ2 = 7.77, P-value is between 0.02 and 0.025.

How to depict the hypothesis?

It should be noted that hypothesis testing is done in order to get more information about a particular issue.

In this case, the value of the chi-square test statistic and the P-value of this hypothesis test is χ2 = 7.77, P-value is between 0.02 and 0.025.

This illustrates that there's convincing evidence that the distribution of common opinion is note equally distributed across the three options.

Learn more about hypothesis on:

https://brainly.com/question/15980493

If the sum of a number and four is tripled the result is eight less than twice the number

Answers

Answer:

The number is -20.

Step-by-step explanation:

If x is the number, then 3(x+4)=2x-8.

3x+12=2x-8

x=-20

Answer:

- 20

Step-by-step explanation:

if the number if x then 3(X+y 4= 2X-8: 3X+12= 2x-8

x = -20

Joshua spends 25 minutes of each day reading. He reads d days a week. Let m represent the number total minutes of reading a week. Write an equation to represent the situation. help I didn't study for math class and I have a test

Answers

Answer:

25 x D = Y

Step-by-step explanation:

Example: Say he reads for three days a week.

25 x 3 = 75

or 6 days

25 x 6 = 150

or 4

25 x 4 = 100

solve for x ~
[tex]46x - 23x = 2[/tex]


thankyou ~​

Answers

Answer: x = 2/23

Step-by-step explanation:

[tex]46x-23x=2[/tex]

[tex]\mathrm{Add\:like\:terms:}\:46x-23x=23x[/tex]

[tex]23x=2[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}23[/tex]

[tex]\frac{23x}{23}=\frac{2}{23}[/tex]

[tex]$$Simplify[/tex]

[tex]\bold{x=\frac{2}{23}}[/tex]

Answer:

x = 2/23

Step-by-step explanation:

Inthis question we are given with one equation that is 46x - 23x = 2 and we have asked to find the value of x or solve for x .

So , from here we are solving :

[tex] \longmapsto \: 46x - 23x = 2[/tex]

Step 1 : Taking 23x common at left hand side :

[tex] \longmapsto \: 23x(2 - 1) = 2[/tex]

Step 2 : Subtracting 1 with 2 :

[tex] \longmapsto \:23x = 2[/tex]

Step 3 : Transposing 23 to right hand side :

[tex] \longmapsto \: \red{ \boxed{x = \frac{2}{23} }}[/tex]

Therefore, value of x is 2/23

Verifying the answer :

We are verifying our answer by substituting the value of x in the given equation .

[tex] \longmapsto \: 46(\frac{2}{23}) - 23( \frac{2}{23} ) = 2[/tex]

Now , calculating :

[tex] \longmapsto \: \cancel{46}(\frac{2}{ \cancel{23}}) - \cancel{23}( \frac{2}{ \cancel{23}} ) = 2[/tex]

[tex] \longmapsto \: 4 - 2 = 2[/tex]

[tex] \longmapsto \: 2 = 2[/tex]

[tex] \longmapsto \: L.H.S = R.H.S[/tex]

[tex] \longmapsto \: Hence, \: Verified . \: [/tex]

Therefore , our value for x is correct .

#Keep Learning

Use the information below to complete the problem: and Perform the operation and show that it results in another rational expression. p(x) * q(x)

Answers

Can you please give me more explanation

Find the volume it’s homework I need help with

Answers

The answer is 1. 4x4x3 = 48 the whole volume 2. 48-4x2= 40.

Find the probability of the following event

You roll a prime number

Answers

Answer:

4/6

Step-by-step explanation:

A die can roll out six numbers from 1 to 6.

Prime numbers from 1 to 6 are: 1,2,3,5

4 out of 6 are prime

There are 1,000 millimeters in 1 meter. How many millimeters are in
118 meters? Circle the letter of the correct answer.
A 0.0118 millimeter
B. 0.118 millimeter
C118,000 millimeters
D 1,780.000 millimeters
Emily chose B as the correct answer. How did she get that answer?

Answers

Emily must have thought that she needed to divide 1000 by 118 which would have given her 0.118 millimeters. But her answer is wrong because you need to multiply 1,000 millimeters by 118 meters to find how many millimeters are in 118. the correct answer would have been C: 118,000 millimeters

Find SU, TU, and ST.

Answers

Answer:

SU=6

TU=6

ST=12

Step-by-step explanation:

SU and TU are equal because their hypotenuses are equal (10).

With this knowledge, you know that 2x+2=3x.

Subtracting 2x from both sides shows that x=2, so you can substitute that into the original line segment values in order to get 6 for both SU and TU. Double this to find the value of ST (12).

PLEASE HELP WILL MARK BRAINLIEST!!

Answers

A because a ray is a set of straight lines that pass through a point so I think it’s A

Examine the following wavelength.
2 functions on a coordinate plane. One has 7 wavelengths and the other has 3.5 wavelengths.
What is the ratio of the wavelengths of these two notes?
a.
5 to 4
b.
3 to 2
c.
6 to 5
d.
2 to 1



Please select the best answer from the choices provided

Answers

Answer:

  d.  2 to 1

Step-by-step explanation:

The ratio of wavelengths will be inversely proportional to the number of them that are found in any given distance.

__

If the same distance shows 3.5 wavelenths of one function and 7 wavelengths of another, the ratio of wavelengths is ...

  7 : 3.5 = 2 : 1

Please help me if it is correct I will mark you as brainliest.
ANSWER AS QUICKLY AS POSSIBLE!!!!!!!!

Answers

Answer:

I think X = 35 but I'm not sure if it's not right let me know

High school students across the nation compete in a financial capability challenge each year by taking a National Financial Capability Challenge Exam. Students who score in the top 14 percent are recognized publicly for their achievement by the Department of the Treasury. Assuming a normal distribution, how many standard deviations above the mean does a student have to score to be publicly recognized?

Answers

Using the normal distribution, it is found that a student has to score 1.08 standard deviations above the mean to be publicly recognized.

Normal Probability Distribution

In a normal distribution with mean [tex]\mu[/tex]standard deviation [tex]\sigma[/tex]z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.

The top 14% of the scores are given by scores above the 86th percentile, which corresponds to Z = 1.08, hence, a student has to score 1.08 standard deviations above the mean to be publicly recognized.

More can be learned about the normal distribution at https://brainly.com/question/24663213

To choose the three players fairly, Coach Bennet decides to set up a free throw contest. The three players who make the most consecutive free throws will get to go to the summer basketball clinic.

Part A
Question
How many different orders of top-three finishers are possible?

Drag the tiles to the correct locations on the equation. Not all tiles will be used.

Answers

Using the arrangements formula, it is found that 6 different orders of top-three finishers are possible.

What is the arrangements formula?

The number of possible arrangements of n elements is given by the factorial of n, that is:

[tex]A_n = n![/tex]

In this problem, the possible orders are arrangements of 3 elements, hence, the number of orders is given by:

[tex]A_3 = 3! = 6[/tex]

More can be learned about the arrangements formula at https://brainly.com/question/25925367

#SPJ1

The graph shows two lines, A and
How many solutions are there for the pair of equations for lines A and B? Explain your answer. (5 points)

Answers

Answer:

there muse be at least 2 solution because we need it to draw lines at exact direction

Answer:

1 solution

Step-by-step explanation:

A solution to a system of lines in a graph is their intersection point. On the graph shown, there is only 1 point at which the lines intersect, therefore, 1 solution.

At lunch a waiter had seven customers and two of them didn’t leave a tip.If he got seven each from the ones who did tip how much money did he earn?

Answers

Answer:

$35

Step-by-step explanation:

7 customers - 2 who didn't tip =  5 who did tip

$7 from those who did tip * 5 ppl who tipped = $35 earned

id
11. A chessboard has diagonals of length
40 cm. What is the length of each side of the
board, to the nearest tenth of a centimetre?
Explain your reasoning.

Answers

Answer:

√800 = 28 cm

Step-by-step explanation:

Your c value is 40cm beacause c=length of the hypotenuse, or in this case the diagonal of the chess board.

You now have 2a2=402.

Start solving it:

2a2=402

2a2=1600

(2a2)/2=1600/2

a2=800

√(a2)=√800

a=√800 cm

You can plug this back in to check your answer, and also be sure that a=b is true.

a2+b2=c2

(√800)2+(√800)2=c2

800+800=c2

1600=c2

√1600=√c²

40=c

Betty earned $35000 in the base year of 1992. In 2004, the consumer price index stood at 124.6. Today Betty earns $55000. Find the value of her current salary of $55000 in terms of 1992 dollars.

Answers

The value of Betty's earnings of $55,000 in 1992 dolars is $44,141.25.

What is the value of earnings in 1992 dollars?

The consumer price index measures the changes in price of a basket of good.

CPI = (cost of basket of goods in current period / cost of basket of goods in base period) x 100

Value of the current earnings in 1992 dollars = $55,000 / 1.246 = $44,141.25

To learn more about, consumer price index, please check: https://brainly.com/question/26382640

(WORTH 100 POINTS I WILL GIVE BRAINLY)

Answers

Answer:

To create a line plot with a cluster around 6-8, you basically just group a lot of dots around the area (such as putting 4 dots over the dashes labelled 6-8). And for a gap between 4-5, just put one dot over 0-3.

Answer:

To create a line plot with a cluster around 6-8, you basically just group a lot of dots around the area (such as putting 4 dots over the dashes labelled 6-8). And for a gap between 4-5, just put one dot over 0-3.

Step-by-step explanation:

You want to buy a new computer that costs $2250. You check your savings-account balance and realize that to buy the computer, you will need $125 more than what you have in your savings account (s). How much money do you have in your savings account?

Answers

Answer:

$2,125

Step-by-step explanation:

Subtract: 2250-125=2125

Hope this helps! :)

PLEASE MARK ME AS BRAINLIEST I REALLY WANT TO LEVEL UP


A random sample of 864 births in a state included 426 boys. Construct a 95% confidence interval estimate of the proportion of boys in all births. It is believed that among all births, the proportion of boys is 0506 Do these sample results provide strong evidence against that belief?

Construct a 95% confidence interval estimate of the proportion of boys in all births.

Answers

Using the z-distribution, it is found that the 95% confidence interval is (0.46, 0.526), and it does not provide strong evidence against that belief.

What is a confidence interval of proportions?

A confidence interval of proportions is given by:

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which:

[tex]\pi[/tex] is the sample proportion.z is the critical value.n is the sample size.

In this problem, we have a 95% confidence level, hence[tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so the critical value is z = 1.96.

We have that a random sample of 864 births in a state included 426 boys, hence the parameters are given by:

[tex]n = 864, \pi = \frac{426}{864} = 0.493[/tex]

Then, the bounds of the interval are given by:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.493 - 1.96\sqrt{\frac{0.493(0.507)}{864}} = 0.46[/tex]

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.493 + 1.96\sqrt{\frac{0.493(0.507)}{864}} = 0.526[/tex]

The 95% confidence interval estimate of the proportion of boys in all births is (0.46, 0.526). Since the interval contains 0.506, it does not provide strong evidence against that belief.

More can be learned about the z-distribution at https://brainly.com/question/25890103

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