Help please!!!!
What is the absolute value of the number indicated on the number line below?

A. -2/3
B. -3/5
C. 3/5
D. 2/3

Answer:C

1/1+cos(x)

Step-by-step explanation:

Simplifird form of the given trigonometric expression will be,

         [sinx / (1 - cos²x)] × tan(x/2) = 1 /(1 + cosx)

Given expression in the question,

[tex]\frac{\text{sinx}}{1-\text{cos}^2x}\times \text{tan}(\frac{x}{2})[/tex]

= [tex]\frac{\text{sinx}}{\text{sin}^2x}\times \text{tan}(\frac{x}{2} )[/tex]

= [tex]\frac{1}{\text{sin}x}\times \frac{\text{sin}(\frac{x}{2})}{\text{cos}(\frac{x}{2} )}[/tex]

= [tex]\frac{1}{\text{2sin}\frac{x}{2}\text{cos}(\frac{x}{2} ) }\times \frac{\text{sin}(\frac{x}{2})}{\text{cos}(\frac{x}{2} )}[/tex]

= [tex]\frac{1}{\text{2cos}^2{\frac{x}{2} }}[/tex]

Use the identity → ([tex]2\text{cos}^2x=1+\text{cosx}[/tex])

= [tex]\frac{1}{1+\text{cos}x}[/tex]        

          Hence, [tex]\frac{\text{sinx}}{1-\text{cos}^2x}\times \text{tan}(\frac{x}{2})=\frac{1}{1+\text{cosx}}[/tex] will be the answer.

Learn more to simplify the trigonometric expressions here,

https://brainly.com/question/17043514?referrer=searchResults

Answer:

Step-by-step explanation:

huh??

Answer:

Let the price of one book be Rs. x

price of next book is = 1040 - X

C.P of 1st book is Rs. x

Loss = 15%

S.P of 1st book = 85x / 100

C.P of 2nd book = 1040 - X

Profit = 36%

S.P of 2nd book = (1040 - x × 136)/100

(85x)/ 100 - (1040 - x × 136) / 100

85 x= 1040 x 136 - 136 x

85 x + 136 x= 1040 × 136

221 x = 1040 x 136

X = (1040 x 136) / 221

X = 640

So, Cost price for 1st book is 640 Rs. and 2nd book is 1040 - 640 = 400 Rs.

Answer:

9x-3

Step-by-step explanation:

2x2=4

4+4x-3

4x-1

5x-2

Add them together

4x-1+5x-2= 9x-3

Answer:

subtracting 5 from both sides

Step-by-step explanation:

please mark brainliest lol :)

Answer:

p>-18

Step-by-step explanation:

The most efficient way to find the solution of p+5>-13 is to subtract 5 from both sides, getting p>-18

largest 4 digit number : 9999

smallest 4 digit numbers : 1000

Difference = 9999 - 1000 = 8999

Answer:

Step-by-step explanation:

Distributive property, subtraction, division

4(2x + 3) = 10x

8x + 12 = 10x

12 = 2x

6 = x

Answer:

I believe its $250.80

Step-by-step explanation:

Because 20% of 1254 is 250.8

Answer:

-.1

Step-by-step explanation:

Answer:

$0.06

Step-by-step explanation:

First, find how many inches are in 8 feet.

Since 1 foot is 12 inches, multiply 8 by 12:

8(12)

= 96

Then, to find the price per inch, divide the price by the number of inches:

5.76/96

= 0.06

So, the price per inch is $0.06

Answer:

$0.06

Step-by-step explanation:

There are 12 inches in a foot, and there are 8 feet all together, meaning there is 96 inches for $5.76.

Divided the cost y the number of inches to get the cost per inch,

5.76 divided by 96 = 0.06.

Answer:

$2734

Step-by-step explanation:

$98,424 / 36 = $2734

Answer:

6 + 10v – 8w = 62

Step-by-step explanation:

Given the expression

6 + 10v – 8w

as

substituting the values in the expression

6 + 10v – 8w = 6 + 10(4) - 8(-2)

                      = 6 + 40 + 16

                      = 62

===================================================

Explanation:

Choice B is one answer because -2 and 2 are additive inverses that add to -2+2 = 0

Choice D is a similar story. We have -5+5 = 0

In general, if x is some number then -x is its additive inverse. So we can say x+(-x) = 0 or -x+x = 0. In short, additive inverses add to 0.

Answer:

B and D

Step-by-step explanation:

Answer:

δw/δr = 4π

δw/δθ = -8π

Step-by-step explanation:

Given the following functions

w = xy + yz + zx, x = r cosθ y = r sinθ, z = rθ where r = 4 and θ = π/2

We are to find δw/δr and δw/δθ

δw/δr = δw/δx•δx/δr + δw/δy•δy/δr + δw/δz•δz/δr

δw/δx = y+z

δx/δr = cosθ

δw/δy = x+z

δy/δr = sinθ

δw/δz = y+x

δz/δr = θ

Substitute the given values into the formula

δw/δr = (y+z)cosθ+(x+z)sinθ+(y+x)θ

Substitute the value of x, y and z in terms of theta into the resulting function

δw/δr = (y+z)cosθ+(x+z)sinθ+(y+x)θ

δw/δr = (rsinθ+rθ)cosθ+(rcosθ+rθ)sinθ+(rsinθ+rcosθ)θ

Substitute r = 4 and θ = π/2

δw/δr = (4sinπ/2+4π/2)cosπ/2+(4cosπ/2+4π/2)sinπ/2+(4sinπ/2+4cosπ/2)π/2

Note that cos π/2 = 0 and sinπ/2 = 1

δw/δr = (4+2π)(0)+(0+2π)(1)+(4(1)+4(0))π/2

δw/δr = 0+2π+4π/2

δw/δr = 2π+2π

δw/δr = 4π

For δw/δθ

δw/δθ = δw/δx•δx/δθ + δw/δy•δy/δθ + δw/δz•δz/δθ

δw/δx = y+z

δx/δθ = -rsinθ

δw/δy = x+z

δy/δθ =rcosθ

δw/δz = y+x

δz/δθ = r

Substitute the given values into the formula

δw/δθ = (y+z)-rsinθ+(x+z)rcosθ+(y+x)r

Substitute the value of x, y and z in terms of theta into the resulting function

δw/δθ = (y+z)-rsinθ+(x+z)rcosθ+(y+x)r

δw/δθ = (rsinθ+rθ)-rsinθ+(rcosθ+rθ)rcosθ+(rsinθ+rcosθ)r

Substitute r = 4 and θ = π/2

δw/δθ = (4sinπ/2+4π/2)-4sinπ/2+(4cosπ/2+4π/2)4cosπ/2+(4sinπ/2+4cosπ/2)(4)

Note that cos π/2 = 0 and sinπ/2 = 1

δw/δθ = (4+2π)(-4)+(0+2π)(0)+(4(1)+4(0))(4)

δw/δθ = -16-8π+0+4(4)

δw/δθ = -16+16-8π

δw/δθ = -8π

Answer:56/100

Step-by-step explanation:

The fraction equivalent to decimal number 0.56 is, 14/25

Fraction is a mathematical term, which represents the portion or sub-parts of the whole thing. Basically, It has two parts: numerator and denominator.

Numerator is a number which lies on the top side, it indicates the number of equal parts taken and denominator is on the bottom side, it indicates the equal parts of the whole number.

Given that,

The decimal number 0.56

The equivalent fraction number = ?

For converting it into fraction,

We have to multiply and divide given number by 100

Now,

⇒  0.56 x(100/100)

⇒  56/100

Further, it can be solved

⇒  28/50

⇒   14/25

Thus, the equivalent fraction is 14/25

To know more about Fraction check:

https://brainly.com/question/8482939

#SPJ1

Answer:

130

Step-by-step explanation:

Ratio is 2:5:3. Colin get 2/10 of the sweets so 26/x=2/10. Use the butterfly method to get 260=2x. Divide both sides by 2 and get x=130/

Answer:

He has been saving for 41 weeks.

Step-by-step explanation:

492 is the total, we need to divide 492 by 12 to get how many weeks, 41 is the answer

Answer:

A)

534 rounds to 500

395 rounds to 400

B) 100

Step-by-step explanation:

A)

534 rounds to 500 because the next digit 3 is less than 5 which means that you round down.

395 rounds to 400 because the next digit 9 is greater than 5 which means that you round up.

B)

500-400=100

Hope this helps! :)

Answer:

1082.99

Step-by-step explanation:

2927 - 100%;

x - 37%;

=> x = (37*2927)/100 = 1082.99

Answer:

y= 4 x  

Step-by-step explanation:

y =4x − 7

Choose a point that the parallel line will pass through.

(0 , 0 )

Use the slope-intercept form to find the slope.

Tap for fewer steps...

The slope-intercept form is  

y = m x+ b , where  m  is the slope and b  is the y-intercept. y = m x + b

Using the slope-intercept form, the slope is  

4 . m = 4

To find an equation that is parallel to  y = 4 x − 7 , the slopes must be equal. Using the slope of the equation, find the parallel line using the point-slope formula.

( 0 , 0 ) m = 4

Using the point-slope form  

y − y 1 = m ( x −x 1 ) , plug in  m = 4 ,  x 1 = 0 , and  y 1 = 0 .

y − ( 0 ) = ( 4 )( x − ( 0 ) )

Solve for  y.

Subtract  0  from  y .

y = ( 4 ) ( x − ( 0 ) )

Subtract  0  from  x .

y= 4 x  

HOPE THIS HELPS!

pLEASE MARK bRAINLIEST! :)

Answer:

domain (-∞, ∞)

range [-3,∞)

Step-by-step explanation:

domain is the x value and range is the y value. Since its an absolute value the y value rises from both sides of the x value in a 45° angle.

Answer:

C

Step-by-step explanation:

neither.

linear equations have constant slope. They  take on the form of something like y= mx + b

exponential equations have a variable in the exponent. An example of this y= 3^x.

This is a polynomial equation - specifically a quadratic.  

(13−0)

           = 10/13

(10−0)

​13,10

Slope of the given line is [tex]\frac{10}{13}[/tex] and the equation of the line is [tex]10x - 13y = 0[/tex].

The slope of a line(m) that passes through points (x, y) and (x, y) is

[tex]m = \frac{y_{2} - x_{1}}{x_{2} - x_{1}}[/tex]

The given line passes through points (0, 1.3) and (0, 1).

Therefore, slope of the line is

[tex]m = \frac{y_{2} - x_{1}}{x_{2} - x_{1}} = \frac{1 - 0}{1.3 - 0} = \frac{10}{13}[/tex]

Now, the line passes through the point (2.6, 2).

Putting this equation in slope-intercept form, we get:

[tex]2 = \frac{10}{13}(2.6) + c\\c = 2 - 2\\c = 0[/tex]

The equation of the line will be:

[tex]y = \frac{10}{13}x\\10x - 13y = 0[/tex]

Learn more about slope of a line here: https://brainly.com/question/21504186

#SPJ3