If Sine (x) = two-fifths and tan(x) > 0, what is sin(2x)?


StartFraction 2 StartRoot 21 EndRoot Over 25 EndFraction

StartFraction 4 StartRoot 21 EndRoot Over 25 EndFraction

StartFraction 2 StartRoot 21 EndRoot Over 5 EndFraction

StartFraction 4 StartRoot 21 EndRoot Over 5 EndFraction

Answers

Answer 1

The value of Sin 2x if, Sin x = 2 / 5  and tan(x) > 0, is 4 √21 / 25 so, option B is correct.

What is trigonometry?

Trigonometry is the branch 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, cosine, and tangents are their names and acronyms (tan).

Given:

Sinx = 2 / 5  and  tan(x) > 0,

Calculate the value of tan x as shown below,

B² = 5² - 2²  (Using Pythagoras theorem)

B² = 25 - 4

B = √21

Hence, Tan x = 2 / √21

Calculate the value of Sin 2x as shown below,

Sin2x = 2 Tan x / (1 + tan² x)

Sin2x = 2 × 2 / √21 / (1 + (2 / √21)²)

Sin2x = 4 / √21 / (1 + 4 / 21)

Sin2x = 4 / √ 21 / (25 / 21)

Sin2x = 4 √21 / 25

Thus, the value of Sin2x  is 4 √21 / 25.

To know more about Trigonometry:

https://brainly.com/question/17081568

#SPJ5

Answer 2

Answer:

B

Step-by-step explanation:

just took it


Related Questions

A tracksuit costs £25. The price goes up by 5%. What is the new price?

Answers

Answer: £26.25

Step-by-step explanation:

10% of £25 = £2.50

Half of £2.50 = £1.25

therefore if you add £1.25 to £25 it equals £26.25

An international company has 22,700 employees in one country. If this represents 23.1 of the company's employees,how many employees does it have in total?

Answers

Answer: 98268

Step-by-step explanation:

Given: In an international company,

Employees in one country = 22,700

If this is 23.1% of the total number of company's employees,

[[tex]1\%=\dfrac1{100}[/tex] , replace 'of' by '×']

i.e. 23.1% of (total employees) = 22700

[tex]\Rightarrow\ \dfrac{23.1}{100}\times\text{(total employees)}=22700\\\\\Rightarrow\ \text{Total employees}=\dfrac{22700\times100}{23.1}\\\\\Rightarrow\ \text{Total employees}=98268.4\approx98268[/tex]

Hence, there are 98268 employees in total.

pls helpppppppppp!!!!!!

Answers

Answer:

-100

Step-by-step explanation:

-4 * 5 * 5

Answer:

-100

Step-by-step explanation:

What is the factored form of this expression? 7- 12x+36 А. (x-12)(x-3) B. (x-6)(x+6) c. (x+6) 2 D. (x-62​

Answers

Answer:

Step-by-step explanation:

factored form of x^2 - 12x + 36

(x - 6)(x - 6) or (x - 6)^2

answer is D

Solve x + 1 > 10, x + 11 > 20, and x + 21 > 30. Describe a pattern. Then use the pattern to predict the solution of x + 9,991 > 10,000.

Answers

Answer:

Step-by-step explanation:

A plant's height is 1 meter 10 centimeters. How tall
is the plant in millimeters?

Answers

Answer:

1100

Step-by-step explanation:

Answer:

1100 millimeters

Step-by-step explanation:

kya earned$630 per week . if she worked for 30 hourswhat is her hourly rate

Answers

Answer:

$21

Step-by-step explanation:

630 ÷ 30 = 21

think it's right

I need help with this!! A good explanation is HIGHLY appreciated! <3

Answers

Answer:

Step-by-step explanation:

1.3-y/0.2=1.8

-y/0.2=0.5

y=-0.1

Answer:

y = -0.1

Step-by-step explanation:

1. subtract 1.3 from both sides 1.3 - y/0.2 - 1.3 = 1.8 - 1.3

2. simplify -y/0.2 = 0.5

3. multiply both sides by 0.2 0.2(-y/0.2) = 0.5 x 0.2

4. simplify -y = 0.1

5. divide both sides by -1 -y/-1 = 0.1/-1

and you’re done! c:

The size of a smart TV is measured along the diagonal length.
What is the approximate size, measured to the nearest inch,
of a 30.9 inch by 48.5 inch smart TV screen?
A. 58 inches
B. 64 inches
C. 1,654 inches
D. 3,307 inches

Answers

B. 64 inches! hope this helps :)
64 inches i believe

What is the product of one half and two thirds?

Answers

Answer:

Step-by-step explanation:

0.33333333333

Answer: 2/6 or 1/3 as simplest form hope his helps

Need help with this pls!!

Answers

Answer:

In my looks its c!

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

The  arrow pointing up is longer than the others.

What is the value of the square root of 72 to the nearest tenth?

Answers

Answer:

8.5

Step-by-step explanation:

Because I used a calculator

The square root of 72 is 8.48528137424 ...

The hundredths digit (8) rounds up.

So the square root of 72 rounded to the nearest tenth is 8.5.

Now you can multiply this to see if the product is near 72.

8.5 times 8.5 is 72.25.

Simplify the expression by using the distributive property.
-2(4x - 10)

Answers

Answer:

-8x+20

Step-by-step explanation:

multiply using the distributive property:)

Answer:

[tex]\huge\boxed{\boxed{-8x+20}}[/tex]

Step-by-step explanation:

Hello.

Please remember that the Distributive Property states that

a(b+c)=ab+ac

Now, simplify:

-2(4x-10)

multiply -2 times 4x and -10:

-8x+20 (a negative times a negative equals a positive only)

And we're done!

I hope it helps & have an outstanding day!

~ST2710 :)

Round 25,000 to the nearest thousand

Answers

The answer would be 2.5

Answer:

25,000

Step-by-step explanation:

Since there are no other numbers before the thousands place, it can be determined that the current thousands place will remain the same.

fadil sells televisions. He earns $15 a fixed amount for each television and an additional if the buyer gets an extended warranty. If sells 12 televisions with extended​ warranties, he earns 1140
. How much is the fixed amount earns for each​ television?

Answers

剪水門鐺活成菇函驗啊卜蠍蠍蠍蠍數蠍中金白白白白白白白白白自

Sean prepared 44 kilograms of dough after working 11 hours. How many hours did Sean work if he prepared 48 kilograms of dough? Assume the relationship is directly proportional.

Answers

This is an example of direct variation.

So,      44    48            

           11       x

For this, you have to use the formula, 44x = 48 × 11

= (48 × 11) ÷ 44 = 12

Hence, your answer is 12 hours

Once upon a time, on an island in the middle of an ocean, several tribes lived and fought with each other. A time came when all the tribes agreed to everlasting peace. So, they decided to build a giant monument to celebrate this Peace Treaty. The monument required a certain number of logs, and the tribes had to agree on the number of logs that each tribe was to provide. Had there been two fewer tribes on the island, this number of logs would have been 6. Had there been one more tribe on the island, this number would have been 5. Unfortunately, the tribes could not agree on what number of logs would be fair for the actual number of tribes. So the tribes announced an eternal war - and were not heard from ever again. How many tribes were on the island?

Answers

Answer:

4 tribes. I don't even know how to do this question at all since it's way too difficult for me but this is an attempt.

Step-by-step explanation:

Let's use negative terms.

-2 = 6

-1 = 5

0 = 4

1 = 3

2 = 2

3 = 1

4 = 0

1 Camelita nuns the track at her school that is of a milelong. If she runs 4. 3 miles, how many laps did she run?​

Answers

Answer:

3 laps.

Step-by-step explanation:

Hi! I can see how this is tricky, but I was a bit confused by the 4 in "If she runs 4." It says in the problem that the track is a mile long... So if you run the track 3 times, 3 x 1 = 3.

Solve the equation by factoring.
c2 - 2c + 1 = 0

Answers

Answer:

The only solution is c=1

Step-by-step explanation:

c^2 - 2c + 1 = 0

What 2 numbers multiply to 1 and add to -2

-1 * -1 =1

-1 + -1 =-2

( c-1) (c-1)=0

Using the zero product property

c-1 =0  c-1 =0

c=1   c=1

The only solution is c=1

Math
Skip count by tens and fill in the missing numbers.
550, 660 570, 580, 590,
610,

Answers

Answer:

560, 600, 620, 630, 640, 650

Step-by-step explanation:

Just counted from 10, I guess.

WILL GIVE BRAINLIEST!!!!!!
Your grandfather would like you to invest in his company. He guarantees that if you invest in the stock of his company you will earn 15% on you r money every year. If you invest $100 and your grandfather is right, how much money will you have after 20 years? Round to the nearest cent.

Answers

Answer:

i=0.099

PMT (annual payment needed) $11,309

PV of perpetuity

PV=11309/0.099

=$114,232.32

hope that helps

pls mark brainliest <3

Answer:

ok so i think it is i=0.099

Step-by-step explanation:

i took the test. the test said it was that answer so yea

Identify the model that shows 4 items being divided equally among 3 people. How much will each person have

Answers

Answer:

1 1/3 items

Step-by-step explanation:

Total number of items = 4 items

Total number of people = 3 people

4 items = 3 people

To know the number of items each person will get, we can write;

x items = 1 person

Divide both expressions

4/x = 3/1

3x = 4

x = 4/3

Express as mixed fraction;

4/3 = 1 1/3

Hence each person will receive 1 1/3 items

7. Solve the proportion w/36 = 5/18 . (1 point)

a. W = 5

b. W = 10

c. W = 15

d. W = 20

Answers

Answer:

B, 10

Step-by-step explanation:

W/36=5/18

W/36=5/18 cress cross

18w=5x36

18w=180

18w/18=180/18

W=10

PLEASE EXPLAIN (Arithmetic Sequences )

If u59 = 1/10 and u100 = 1 19/20 for an arithmetic sequence, find the first term and the common difference

Answers

You have to subtract to get the inverse operation

The tire has a diameter of 33 inches. If the tire rotates one time, about how many inches will the tire travel?

Answers

Answer: 103.62

Step-by-step explanation: 3.14 times 33 is equal to 103.62

Image is a triangle with one side labeled as the 3 point 6 feet diameter of a semi-circle. The vertex opposite the semi-circle side is bi-sected by a horizontal line labeled 4 point 8 feet between the semi-circle diameter side and the opposing triangle.
Find the area of the irregular figure (use 3.14 for pi). Show your work. Round to the nearest tenth.

Answers

Answer:

13.7 ft²

Step-by-step explanation:

The figure is made up of two regular shapes.

1. A semi-circle of 3.6 ft

radius = 3.6/2 = 1.8 ft

Area = 1/2 × 3.14 × 1.8²

        = 5.0868 ft²

2. A triangle

Area = 1/2 × base length × height

        = 1/2 × 3.6 × 4.8

        = 8.64 ft²

Area of the irregular shape = 5.0868 + 8.64

                                             = 13.7268 ft²

To the nearest tenth = 13.7 ft²

The area of the irregular figure is 13.7 ft² to the nearest tenth.

What is the area of the triangle?

The area of the triangle is defined as the product of half the base and the height of the triangle.

The area of the triangle = 1/2 x b x h

Given that vertex opposite the semi-circle side is bi-sected by a horizontal line labeled 4 point 8 feet between the semi-circle diameter side and the opposing triangle.

A semi-circle of 3.6 ft

The radius = 3.6/2 = 1.8 ft

Then Area = 1/2 × 3.14 × 1.8²

       = 5.0868 ft²

Now triangle area is

Area = 1/2 × base length × height

       = 1/2 × 3.6 × 4.8

       = 8.64 ft²

Area of the irregular shape = 5.0868 + 8.64

                                            = 13.7268 ft²

To the nearest tenth 13.7 ft²

Learn more about the area;

https://brainly.com/question/1658516

#SPJ2

PLEASE HELP. WILL GIVE BRAINLIEST AND WORTH 60 POINTS.

Solve each equation using substitution. Answers are on the right and questions are on the left.

Answers

Answer:

Q1. No solutionQ2. (5, 6)Q3. Infinitely many solutionsQ4. No solutionQ5. (2, 3)

Step-by-step explanation:

Q1.

y = -1/3x - 1x + 3y = -12

Solution

x + 3(-1/3x - 1) = -12x - x - 3 = -12-3 = -12

No solution

Q2

y = 2x - 4y = x + 1

Solution

2x - 4 = x + 1x = 5y = 6

(5, 6)

Q3

y = -3x + 36x + 2y = 6

Solution

6x + 2(-3x + 3) = 66x - 6x + 6 = 66 = 6

Infinitely many solutions

Q4

- 5x + y = 1- 10x + 2y = -2 ⇒ -5x + y = -1

Solution

1 = -1

No solution

Q5

y = 1/2x + 2y = x + 1

Solution

1/2x + 2 = x + 11/2x = 1x = 2y = 3

(2, 3)

(PLEASE HELP ME I BEG OF YOU)
Kevin and cannot eat on $135 a month salary there any commission for each sale they make and the ratio of Kevin and Kenneth commission is 3:4 if they sell Products worth $610 each in March and Kevin Owens at 12% commission how much did each of them??

A. Kenneth makes $232.60

B. Kevin makes $208.20

C. Kevin makes $73.20

D. They both make $440.00

E. Kenneth makes $219.60

Answers

Answer:

I think the asnwer A or B !!

Step-by-step explanation:

I think it’s A or B if u look at it

consider the two functions which statement is true?

Answers

Answer:

A

Step-by-step explanation:

The answer is the rate of change for function A and Function B are the same!

Please help me with this one ☝️

Answers

Answer:

D

Step-by-step explanation:

add them together

Other Questions
Here are some numbers 2 9 14 36 40 which number is a multiple of 12 A tracksuit costs 25. The price goes up by 5%. What is the new price? Marcos goes to a bank and opens a new account.He deposits $6,500.The bank pays 1.4% interest compounded annually on this account.Marcos makes no additional deposits or withdrawals.Which amount is the closest to the account balance at the end of 3 years?$6,591.00$6,683.27$6,773.00$6,776.83 What is one role of the American Heart Association? Sean prepared 44 kilograms of dough after working 11 hours. How many hours did Sean work if he prepared 48 kilograms of dough? Assume the relationship is directly proportional. The size of a smart TV is measured along the diagonal length.What is the approximate size, measured to the nearest inch,of a 30.9 inch by 48.5 inch smart TV screen?A. 58 inchesB. 64 inchesC. 1,654 inchesD. 3,307 inches how many months are in y years and m months? An international company has 22,700 employees in one country. If this represents 23.1 of the company's employees,how many employees does it have in total? fire services are the responsibility of _____ government A stateB federalC local What ocean borders Australia to the west if the toaster switch is _it is kinetic energy Automaker Henry Ford famously paid high wages to his workers. In 1914, he offered $5 a day (about $107 today) for assembly line work. The offer resulted in long lines for Ford jobs, little worker turnover, and high-quality workers. Paying above-market wages may improve profits better than piece rate incentives if:________a. supported by intrinsic motivation.b. product quality is not a concern.c. environmental risks are not a factor.d. worker effort is easily observable. __+ (-4) = -1 what is the missing number Which statement is most accurate about the Great Wall of China?The wall was entirely built during the rule of the Ming DynastyThe Great Wall is a continuous structure that could be seen from as far away as the moonThe wall completely protected China from being invaded by enemies living in the frontier lands bordering them.The wall symbolizes the desire of the Ming Dynasty to be self-sufficient and to keep out outside influences Calculate the amount of money you'll have at the end of the indicated time period.You invest $3000 in an account that pays a simple interest of 3% for 10 years.The amount of money you'll have at the end of 10 years is $nothing. Majorof geography include physical geography and human geography.A. subfieldsB. regionsC. themesD. places The tire has a diameter of 33 inches. If the tire rotates one time, about how many inches will the tire travel? Need help ASAP Thanks+ BRAINLIST only for correct answers 4. Which of the following sets of EM radiation can harm your body cells?a. Gamma ray, microwaves, infraredb. Light, ultraviolet, x-rayc. Microwaves, ultraviolet, infraredd. Ultraviolet, x-ray, gamma ray 7. Solve the proportion w/36 = 5/18 . (1 point)a. W = 5b. W = 10c. W = 15d. W = 20 How could global warming impact agriculture? A) The best climates for agriculture could shift to locations further north. B) Global warming could cause an increase in water loss from soil by evaporation. C) Global warming could cause an increase in water loss from plant transpiration. D) Sources of irrigations could be harder to find and utilize. E) All of the above