What is the answer?

What Is The Answer?

Answers

Answer 1

[tex]\text{Given that,}\\\\\tan x = \dfrac 3{10}\\\\\text{Now,}\\\\\sin 2x = \dfrac{2\tan x}{1+ \tan^2 x}\\\\\\~~~~~~~~=\dfrac{2 \cdot \tfrac 3{10}}{1+ \left(\tfrac 3{10} \right)^2}\\\\\\~~~~~~~~=\dfrac{\tfrac 35}{1+ \tfrac 9{100}}\\\\\\~~~~~~~~=\dfrac{ \tfrac 35}{\tfrac{109}{100}}\\\\\\~~~~~~~~=\dfrac 35 \times \dfrac{100}{109}\\\\\\~~~~~~~~=\dfrac{60}{109}\\\\\\~~~~~~~~=0.5505[/tex]


Related Questions

what number correctly completes the following probability distribution for the number of boys in a family of 3 children?
3 boys = 0.125
2 boys = 0.375
1 boy = 0.375
0 boys = ?

Answers

Answer: 0.125

Step-by-step explanation:

Add up the probabilities in the other ones and subtract that sum by 1, since 0 boys is out remaining answer

Use the distributive property to write an expression that is equivalent to the expression below. 5(2x+7)

Answers

Answer:

[tex]10x+35[/tex]

Solution:Use the distributive property to simplify.The distributive property states the following:x(y+z)=xy+xz (x times y plus x times z)Now, simplify:[tex]5(2x+7)[/tex][tex]10x+35[/tex]I multiplied 5 times 2x and 5 times 35.Is [tex]10x+35[/tex] the final answer? Yes, we cannot simplify it anymore, because 10x and 35 are not like terms.

Hope it helps.

Do comment if you have any query.

Evaluate e^-1.6 round your answer to five decimal places

Answers

Put it in a calculator
0.201897 => round it to 5 decimal places
=> 0.20190

Which angles are supplementary to each other?
PLS HELP!

Answers

Answer: Angles 6 and 7

Step-by-step explanation:

These angles form a linear pair, and angles that form a linear pair are supplementary.

$117 per week is proportional to $234 per 2 weeks.
The proportion is____?

Answers

Writing Proportions

A proportion is a comparison between two ratios.

A ratio is a proportion between two numbers.

To write a proportion, create two comparisons with two numbers and set them equal to each other.

Solving the Question

We're given:

$117 per week$234 per 2 weeksThese ratios are proportional to each other

Write two ratios:

[tex]\dfrac{117\hspace{3}dollars}{1\hspace{3}week}[/tex]

[tex]\dfrac{234\hspace{3}dollars}{2\hspace{3}weeks}[/tex]

Set them equal to each other:

[tex]\dfrac{117\hspace{3}dollars}{1\hspace{3}week}= \dfrac{234\hspace{3}dollars}{2\hspace{3}weeks}[/tex]

Answer

[tex]\dfrac{117\hspace{3}dollars}{1\hspace{3}week}= \dfrac{234\hspace{3}dollars}{2\hspace{3}weeks}[/tex]

What is the y intercept of the equation-16x^2+64x+80?

Answers

Answer:

  (0, 80)

Step-by-step explanation:

The y-intercept is the value of the function when x=0. For a polynomial in x, setting x=0 effectively eliminates all of the variable terms, leaving only the constant term.

__

The y-intercept is the constant: 80. The coordinates of the y-intercept point reflect the fact that x=0 there: (0, 80).

Solve 21 & 22 give explanation

Answers

Step-by-step explanation:

question no. 21 answer

8 units

[tex] \qquad \qquad \bf \huge\star \: \: \large{ \underline{Answer} } \huge \: \: \star[/tex]

Distance = 13 units

[tex]\textsf{ \underline{\underline{Steps to solve the problem} }:}[/tex]

By using Distance formula ~

[tex]\qquad❖ \: \sf \: \sqrt{(x2 - x1) {}^{2} + (y2 - y1) {}^{2} } [/tex]

[tex]\qquad❖ \: \sf \: \sqrt{ ( - 8 - ( - 8)) {}^{2} + ( - 8 - 5) {}^{2} } [/tex]

[tex]\qquad❖ \: \sf \: \sqrt{0 + ( - 13) {}^{2} } [/tex]

[tex]\qquad❖ \: \sf \: \sqrt{169} [/tex]

[tex]\qquad❖ \: \sf \:13 \: \: units[/tex]

[tex] \qquad \large \sf {Conclusion} : [/tex]

The distance between the points is 13 units

Write an exponential expression with 5 as the base and 8 as the exponent?

Answers

Answer:

y=[tex]5^{8}[/tex]

Step-by-step explanation:

An exponential equation is in the form y=[tex]a^{x}[/tex] where a is the base and x is the exponent.

If 5 is the base then it would replace a, and if it 8 was the exponent it will replace x.

Super easy 7th grade math worth a lot of points

Answers

Answer:

you can find the answer in the given attachment

Step-by-step explanation:

1-P

2-G

3-T

4-O

5-S

6-E

7-D

8-C

9-A

Which expression does sine of the quantity pi plus theta end quantity plus cosine of the quantity pi over 2 minus theta end quantity simplify to?

sin θ + cos θ
2cos θ
0
1

(Equation in photo below)

Answers

Answer:

  (c)  0

Step-by-step explanation:

Each of the terms in the expression represents a different transformation of a different trig function. Expressing those as the same trig function can make it easier to find the sum.

__

We can start with the identity ...

  cos(x) = sin(x +π/2)

Substituting the argument of the cosine function in the given expression, we have ...

  cos(π/2 -θ) = sin((π/2 -θ) +π/2) = sin(π -θ) = -sin(θ -π)

__

The first term, sin(π +θ), is a left-shift of the sine function by 1/2 cycle, so can be written ...

  sin(π +θ) = -sin(θ)

The second term is the opposite of a right-shift of the sine function by 1/2 cycle, so can be written ...

  cos(π/2 -θ) = -sin(θ -π) = sin(θ)

Then the sum of terms is ...

  sin(π +θ) +cos(π/2 -θ) = -sin(θ) +sin(θ) = 0

The sum of the two terms is identically zero.

An employee wants to invest ​$50,000 in a pension plan. One investment offers 4​% compounded quarterly. Another offers 3.75​% compounded continuously.
​(a) Which investment will earn more interest in 4 ​yr?
​(b) How much more will the better plan​ earn?

Answers

Using compound interest and continuous compouding, it is found that:

a) The investment at 4% compounded quarterly will earn more interest in 4 years.

b) The better plan will earn $537 more.

What is compound interest?

The amount of money earned, in compound interest, after t years, is given by:

[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]

In which:

A(t) is the amount of money after t years. P is the principal(the initial sum of money). r is the interest rate(as a decimal value). n is the number of times that interest is compounded per year.

In this problem, the parameters are: P = 50000, r = 0.04, n = 4, t = 4, hence the amount will be of:

[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]

[tex]A(4) = 50000\left(1 + \frac{0.04}{4}\right)^{4 \times 4}[/tex]

A(4) = $58,629.

What is the continuous compounding formula?

It is given by:

[tex]A(t) = Pe^{rt}[/tex]

In this problem, this option has r = 0.0375, hence:

[tex]A(4) = 50000e^{0.0375 \times 4} = 58092[/tex]

Then:

Item a:

The investment at 4% compounded quarterly will earn more interest in 4 years.

Item b:

58629 - 58092 = $537.

The better plan will earn $537 more.

More can be learned about compound interest at https://brainly.com/question/25781328

John is going to plant spinach in a rectangular area of his garden. The rectangle is 11 feet long and 7 feet wide. What is the area of this rectangle?
77 sq ft
75 sq ft
18 ft
36 ft

Answers

Answer:

The area of rectangle is 77 sq ft.

Answer: 77 sq ft

Step-by-step explanation:

Jace owns a small business selling bagels. He knows that in the last week 37 customers paid cash, 6 customers used a debit card, and 11 customers used a credit card. If next week, he is expecting 900 customers, about how many would you expect to pay with a credit card? Round your answer to the nearest whole number.

Answers

Answer:

268

Step-by-step explanation:

11/37=credit card

11/37=x/900

900 divided by 37=24.3

24.3 times 11=267.56

round it to 268

Is 3x + 4 a factor
of f(x) = 3x2 + 13x2 + 18x + 8?

Answers

Answer:

Yes

Step-by-step explanation:

Yes, because the remainder of f(x) is 0

Answer:

4/3

Step-by-step explanation:

correct this answer

Would appreciate some help

Answers

Answer:

e) 36x² - 32y³ = (4)(9x² - 8y³)

f) 45a⁴ - 54a³ = (9a³)(5a - 6)

Step-by-step explanation:

e) 36x² - 32y³ = (4)(9x² - 8y³) becuase 4*9 = 36 and 4*8 = 32

f) 45a⁴ - 54a³ = (9a³)(5a - 6) becuase 9*5 = 45 and 9*6 = 54 and when a is multiplied by a³ you get a⁴

(the exponent are added)

PLEASE RATE!! I hope this helps!!
If you have any questions comment below

solve: answer is x is greater than or equal to 3.​

Answers

Answer:

x ≥ 5

Step-by-step explanation:

[tex]\sf 4x+3\ge \:23[/tex]

subtract 3 from both sides

[tex]\sf 4x+3-3\ge \:23-3[/tex]

simplify

[tex]\sf 4x\ge \:20[/tex]

divide both sides by 5

[tex]\sf \dfrac{4x}{4}\ge \dfrac{20}{4}[/tex]

simplify

[tex]\sf x\ge \:5[/tex]

Answer:

x ≥ 5

Step-by-step explanation:

To simplify the given inequality, we need to isolate the variable "x".

≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡

Step-1: Subtract 3 both sides

4x + 3 ≥ 23

⇒ 4x + 3 - 3 ≥ 23 - 3

⇒ 4x ≥ 23 - 3

⇒ 4x ≥ 20

Step-2: Divide 4 both sides

⇒ 4x ≥ 20

⇒ 4x/4 ≥ 20/4

x ≥ 5

≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡

(Note: The solution of the book you provided in your question is incorrect. Seek below for proof)

*answer is x is greater than or equal to 3.​*

Substituting 3 in the inequality:

4x + 3 ≥ 23

4(3) + 3 ≥ 23

12 + 3 ≥ 23

15 ≥ 23  (False)

9. The area of a rectangle is 12x + 15. The
length of the rectangle is 6. What is the
width of the rectangle?

Answers

Answer:

oh that's hard lol just go to the lowest number and times it on a piece of paper

i need help fast i will mark brainliest

Answers

Answer:

50.24

Step-by-step explanation:

Area=R^2*PI

OR
Area-R*R*PI

So, Area=4*4*3.41

=50.24

Answer:

1,661.1

Step-by-step explanation:

A= 3.14 x (23 x 23)

3.14 x 529= 1,661.06

1,661.1

Sam is climbing 9000 m every 30 minutes. How many meters will he climb in 1 hour

Answers

Answer:

18000 m

Step-by-step explanation:

Hey there!

In order to solve this problem, we need to first know how many minutes are in an hour

As you know, there are 60 minutes in an hour so this means in 1 hour, he will climb 9000 meters two times

So 9000 two times is 18000,

Meaning, in 1 hour, Sam will climb 18000 m

Answer:

18,000m in an hour

Step-by-step explanation:

We know this because if its 9000 m in 30 minutes, we can do 9000 x 2 and get 18,000m for an hour.

please answer


Tomato seed packets are sold in packs of 6 for $2.88. Watermelon seed packets are sold in packs of 4 for $3.04. How much more do the watermelon seeds cost per packet? a) 0.26 b) 0.20 c) 0.28 d) 0.48​

Answers

Answer:

C) $0.28 per packet

Step-by-step explanation:

I divided them to find how much each packet costs

Each pack of watermelon costs $0.76
Each pack of tomato seed packet costs 0.48

Subtract and you have your answer!

0.76 - 0.48 = 0.28

PLS PLS PLS PLS HELP ME I HAVE BEEN STUCK FOREVER!!!!

The sum of 3 consecutive integers is 96. Find the 3 integers. Show all work and label answer.

Answers

31+32+33 :) steps

add 31+32+33 to get 96
let x be the lowest integer
x + 1 is the second number
x + 2 is the last number

so, the equation would be:
x + x + 1 + x + 2=96

add together the x’s and numbers to get:
3x + 3 = 96

minus 3 from both sides:
3x=93

divide both sides by 3:

x=31


so, the first number is 31, then 32, and 33

hope this helped!!

Question 6 (8 points)
Please enter the binary IP address equivalent for the following decimal IP address (use the "dorted" format as shown and use 8 bits for each
Octet)
192.168.1.5 -
Blank 1:
Blank 2:
Blank 3:
Blank 4:

Answers

Answer:

blank1: 00110001 00111001 00110010

blank 2: 00110001 00110110 00111000

blank 3:00110001

blank 4:00110101

Help picture below problem 16

Answers

Answer:

5

Step-by-step explanation:

a²+b²=c²

In this case c is 13 and b is 12

a²+12²=13³

a²+144=169

Subtract 169 and 144 to find a

169-144=25

The square root of 25 is 5

Find the area of the Rhombus below.

Answers

Answer:

90m^2

Step-by-step explanation:

1/2 d1*d2

1/2 12*15

1/2*180

90 Square meter

If these two shapes are
similar, find X

Answers

Answer:

4

Step-by-step explanation:

If the shapes are similar we can use the side length proportion to find the value of x:

7/91 = x/52 cross multiply expressions

91x = 364 divide both sides by 91

x = 4

HELP ASAP FIRST GET BRAINIEST

!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

C

Step-by-step explanation:

just imagine that they are folding and what they would fold into.

this kind of question is a memory test.

Hope this helps!

Brainliest please!

Please fully rate!

Have a great day!

I also need this one thank you

Answers

Answer: C. f(0)= g(-2)
When the y-value of the f like is zero the y-value of the g line is -2

HELP RN PLEASE I NEED THE ANSWER RIGHT NOW IM BEING TIMED

Answers

Answer:

1. 3.33

2. 8.75

3. 4.8

4. 2.5

Step-by-step explanation:

divide the numbers.

How would I be able to solve all of these?

Answers

Answer:

I'm suggesting that you should read your books!!!

You should be more thoughtful...

Answer:

Part A) x = 6, 13, 22, 33

Part B)

Part A

Some examples of perfect squares are 9, 16, 25, and 36. They are the squares of 3, 4, 5, and 6. To generate these values, add x to 3 and plug these numbers into an equation:

√(x + 3) = 3

√(6 + 3) = √9

x = 6

√(x + 3) = 4

√(13 + 3) = √16

x = 13

√(x + 3) = 5

√(22 + 3) = √25

x = 22

√(x + 3) = 6

√(33 + 3) = √36

x = 33

Part B

1. (6, 3)

2. (13, 4)

3. (22, 5)

4. (33, 6)

I hope this helps!

Find 1 2/5 divided 2 1/3

Answers

Answer:

3/5

Step-by-step explanation:

7/5 / 7/3 = 3/5

Answer:

3/5

Step-by-step explanation:

First we make both fractions into improper fractions/top-heavy fractions:

1 2/5 = 7/5

2 1/3 = 7/3

Now we use the rule of KFC (keep flip change):

Keep the first fraction:

7/5

Change the sign to opposite:

÷ → ×

Flip the second fraction:

7/3 → 3/7

Now we multiply the fractions:

7/5× 3/7 = 7×3/5×7 =

21/35

Now we simplify this fraction to simplest terms:

Both the numerator and denominator can be divided by 7 :

3/5

So this is our final answer

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