Hi I need help with this

The value of cos(x/2) is -(1/5)√5/2 and tan(x/2) is  -3 when  x lies third quadrant.

The given that tan(x) = 3/4, and x lies in the third quadrant, we are to find sin(x/2), cos(x/2) and tan(x/2).

Given that tan(x) = 3/4 and x lies in the third quadrant. In third quadrant, the values of sin(x), cos(x) and tan(x) are negative, since the angle is in third quadrant, which lies on x axis.

Tan x is given as 3/4 which can be written as:

tan x = Perpendicular/Base = Opposite/Adjacent

Let the opposite side be 3, and adjacent side be 4. So, we get hypotenuse, by using Pythagorean theorem as below:Hypotenuse = √(Opposite² + Adjacent²)= √(3² + 4²) = √(9 + 16) = √25 = 5

Now, we can find the value of sin(x) and cos(x) using the formulae:

sin x = Opposite/Hypotenuse = -3/5cos x = Adjacent/Hypotenuse = -4/5

Using half angle formulae, we can find sin(x/2), cos(x/2) and tan(x/2).sin(x/2) = ±√(1 - cos(x))/2= ±√(1 - (-4/5))/2= ±√(9/5)/2= ±(3/5)√5/2

Since, x lies in third quadrant, the angle between pi and 3pi/2.

So, we need to take a negative sign.

Therefore, the value of sin(x/2) = - (3/5)√5/2.cos(x/2) = ±√(1 + cos(x))/2= ±√(1 + (-4/5))/2= ±√(1/5)/2= ±(1/5)√5/2Since, x lies in third quadrant, the angle between pi and 3pi/2. So, we need to take a negative sign.

Therefore, the value of cos(x/2) = -(1/5)√5/2.tan(x/2) = sin(x)/(1 + cos(x))= (-3/5)/(1 + (-4/5))= -3/1= -3

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The value of cos(x/2) is -(1/5)√5/2 and tan(x/2) is  -3 when  x lies third quadrant.

The given that tan(x) = 3/4, and x lies in the third quadrant, we are to find sin(x/2), cos(x/2) and tan(x/2).

Given that tan(x) = 3/4 and x lies in the third quadrant. In third quadrant, the values of sin(x), cos(x) and tan(x) are negative, since the angle is in third quadrant, which lies on x axis.

Tan x is given as 3/4 which can be written as:

tan x = Perpendicular/Base = Opposite/Adjacent

Let the opposite side be 3, and adjacent side be 4. So, we get hypotenuse, by using Pythagorean theorem as below:

Hypotenuse = √(Opposite² + Adjacent²)= √(3² + 4²) = √(9 + 16) = √25 = 5

Now, we can find the value of sin(x) and cos(x) using the formulae:

sin x = Opposite/Hypotenuse = -3/5cos x = Adjacent/Hypotenuse = -4/5

Using half angle formulae, we can find sin(x/2), cos(x/2) and tan(x/2).sin(x/2) = ±√(1 - cos(x))/2= ±√(1 - (-4/5))/2= ±√(9/5)/2= ±(3/5)√5/2

Since, x lies in third quadrant, the angle between pi and 3pi/2.

So, we need to take a negative sign.

Therefore, the value of sin(x/2) = - (3/5)√5/2.cos(x/2) = ±√(1 + cos(x))/2= ±√(1 + (-4/5))/2= ±√(1/5)/2= ±(1/5)√5/2Since, x lies in third quadrant, the angle between pi and 3pi/2. So, we need to take a negative sign.

Therefore, the value of cos(x/2) = -(1/5)√5/2.tan(x/2) = sin(x)/(1 + cos(x))= (-3/5)/(1 + (-4/5))= -3/1= -3

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Step-by-step explanation:

x is the radius.....y is the diameter ...which is two times  'x'

find 'x' via the Pythagorean theorem

x^2 = 3.6^2 + 4^2

x = 5.38

y = 2x = 10.76  units

On solving the provided question, we can say that the equation we have here is\(X_(n+1)= (x-n)^{3} - \frac{2}{10}\) at \(x_1 = -1\) n = 0 , \(x_1 = \frac{-3}{10}\)

Two assertions in a mathematical equation are joined by the equal sign (=), which stands for equality.

A mathematical statement that establishes the equality of two mathematical expressions is known as an equation in algebra. For instance, in the equation 3x + 5 = 14, the equal sign places a space between the variables 3x + 5 and 14.

The connection between the two sentences on either side of a letter is explained by a mathematical formula. Typically, there is only one variable, which also serves as the symbol.

A simple equation is a mathematical formula that, on both sides of the "equal to" sign, expresses the relationship between two expressions. Equations in this category include a variable, which is typically expressed as x or y. Simple equations often need to be rearranged in order to be solved.

the equation we have here is

\(X_(n+1)= (x-n)^{3} - \frac{2}{10}\) , at \(x_1 = -1\)

n = 0

\(x_1 = \frac{-3}{10}\)

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Answer:

y = -11

Step-by-step explanation:

23 + 18y = -21 + 14y

Combine like terms

18y - 14y = -21 -23

Do the math

4y = -44

Divide both sides by 4

y = -11

The Laplace Transform of f(t) isL{f(t)} = L{t} + L{t + π}u(t − π) − L{t − 2π}u(t − 2π) + ...

                            = (1/s^2) + e^{−πs}(1/s^2) − e^{-2πs}(1/s^2) + ...= (1/s^2)[1 + e^{−πs} − e^{−2πs} + ...]

Given function is,f(t) ={ t, 0 < t < π π < t < 2π}

where f(t + 2 π) = f(t)

Let's take Laplace Transform of f(t)

                     L{f(t)} = L{t} + L{t + π}u(t − π) − L{t − 2π}u(t − 2π) + ...f(t + 2π) = f(t)

∴ L{f(t + 2 π)} = L{f(t)}⇒ e^{2πs}L{f(t)} = L{f(t)}

     ⇒ [e^{2πs} − 1]L{f(t)} = 0L{f(t)} = 0

when e^{2πs} ≠ 1 ⇒ s ≠ 0

∴ The Laplace Transform of f(t) is

                       L{f(t)} = L{t} + L{t + π}u(t − π) − L{t − 2π}u(t − 2π) + ...

                               = (1/s^2) + e^{−πs}(1/s^2) − e^{-2πs}(1/s^2) + ...

                              = (1/s^2)[1 + e^{−πs} − e^{−2πs} + ...]

The Laplace Transform of f(t) isL{f(t)} = L{t} + L{t + π}u(t − π) − L{t − 2π}u(t − 2π) + ...

                            = (1/s^2) + e^{−πs}(1/s^2) − e^{-2πs}(1/s^2) + ...= (1/s^2)[1 + e^{−πs} − e^{−2πs} + ...]

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Answer:

1 : 5

Step-by-step explanation:

The ratio of PQ ; XY = 5 : 25 = 1 : 5 ← in simplest form

A line segment has two endpoints and you can measure them, as shown in the picture with endpoints A and B.

Whereas, A ray is a part of a line that has one endpoint and goes on infinitely in only one direction. You cannot measure the length of a ray. (second picture with the arrow)

Answer:

3/6 or 1/2.........................

Answer:

The probability is

5

6

.

Explanation:

Probability is

d

e

s

i

r

e

d

a

l

l

Let's find the possible outcomes of rolling odd.

1,3,5 are all odd. We have 3 outcomes.

Now find the possible outcome of a power of 2.

2 is

2

1

, 4 is

2

2

. We have 2 DIFFERENT outcomes.

(If these outcomes overlapped, we would have to subtract to get unique outcomes. In this case, these outcomes are different)

Now, we find the total number of possible outcomes.

A dice has 6 different outcomes.

Now add up the desired outcomes,

3

+

2

=

5

and so the probability is

5

6

Answer: R , y>6

Step-by-step explanation:

\(a^x\)  : domain is R

Range : y > 6

Answer:

Step-by-step explanation:

Now substitute the values and find the length of EC:

Given p = 1

Answer:

8x+8???

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

24

Answer:

1.5

Step-by-step explanation:

16 x 1.5 =24

24 is greater than 16 and less than 32

Answer:

its 12

Step-by-step explanation:

Your answer is the image below.

To graph this inequality, Rearrange the Y so everything right is now left, and then plot Y on a number line. Lastly, shade or leave the circle open or closed.

Greater than or less to = OPEN circle (Not shaded)

Greater and/or less than or equal to = CLOSED circle (Shaded)

Answer:

its C. 8 :) please give me brainlist

1 gallon of 15% sulfacetamide suspension can be diluted to make 5.68 liters of 10% sulfacetamide suspension.

To calculate the amount of 10% sulfacetamide suspension that can be made from 1 gallon of 15% sulfacetamide suspension, we can use the following equation:

(1 gallon * 15%) / (10%) = 5.68 liters

This equation tells us that we need to dilute 1 gallon of 15% sulfacetamide suspension by a factor of 1.5 to get 5.68 liters of 10% sulfacetamide suspension.

To dilute the suspension, we can add 0.5 gallon of water to 1 gallon of 15% sulfacetamide suspension. This will give us 1.5 gallons of 10% sulfacetamide suspension.

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Answer:

Alex will pay $48.75 after the discount.

Step-by-step explanation:

With the information provided, in order to find the amount Alex will pay after the discount, first, you have to find the amount of the discount by calculating 25% of the price and then, you have to subtract that discount from the price:

$65*25%=$16.25

$65-$16.25=$48.75

According to this, the answer is that Alex will pay $48.75 after the discount.

Answer:

200

Step-by-step explanation:

Answer:

<GHI =

Step-by-step explanation:

135°

The proportion of the variation in the values of a response y that is explained by the least-squares regression of y on x is: square of correlation coefficient.

What is square of correlation coefficient?

A helpful number in linear regression is the square of the correlation coefficient, or r2.

The percentage of the variance in one variable that can be partially explained by another variable is represented by this value.

The summary table in the Regression output contains the "R" value, which is the coefficient of correlation.

Coefficient of determination is another name for R square. To calculate R squared, multiply R by R.

The square of the correlation coefficient is what is meant by the term "coefficient of determination."

Hence, the proportion of the variation in the values of a response y that is explained by the least-squares regression of y on x is: square of correlation coefficient.

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Answer:

Step-by-step explanation:

Let us first make the denominators equal, so

600 x 700 = 420000

\(\frac{480}{600} * \frac{700}{700} \\\\= \frac{336000}{420000}\)

Similarly,

\(\frac{560}{700} * \frac{600}{600} = \frac{336000}{420000}\)

By comparison, both of them are equal.

Hope It Helps!

Answer: 24 inches.

Step-by-step explanation:

You can find the perimeter of the polygon by adding the side lengths.

First, find the missing side lengths.

There is a short space between the right side of the square above the triangle. The triangle is 3 inches tall, and the square is 4 inches tall, so that space is 1 inch long.

We can then add the sides to find the perimeter:

4 + 9 + 5 + 1 + 5 = 24 inches long.

Keep in mind that the three inches of the triangle is not included in the sum because it is not on the outside of the polygon. The perimeter only includes the lengths of the exterior sides.

Finding a solution of an equation means determining the value(s) that make the equation true. This is achieved by manipulating the equation to isolate the variable and solve for its value(s). The methods for finding solutions may vary depending on the type of equation.

Finding a solution of an equation means finding a value or values that make the equation true. An equation is a mathematical statement that contains an equals sign (=), and it states that two expressions are equal. The solution(s) of an equation are the value(s) that satisfy the equation and make it true.

To find a solution of an equation, we need to manipulate the equation to isolate the variable on one side of the equals sign. This involves performing the same operation to both sides of the equation in order to maintain equality. By simplifying the equation, we can solve for the variable and determine its value(s).

There are different types of equations, such as linear equations, quadratic equations, and exponential equations. The methods for finding solutions may vary depending on the type of equation.

For linear equations, we often use techniques like addition, subtraction, multiplication, and division to isolate the variable. Quadratic equations involve solving for the variable using techniques like factoring, completing the square, or using the quadratic formula. Exponential equations involve taking logarithms or using exponential properties to find the variable.

It's important to note that an equation may have one solution, multiple solutions, or no solutions at all. The solution(s) can be a specific value, a range of values, or even an expression.

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The distance bewteen the points (-3,5) and (3,1) in a simple radical form is 2√13.

The distance formula used in finding the distance between two points is expressed as;

d = √( ( x₂ - x₁ )² + ( y₂ - y₁ )² )

From the graph;

Point A: (-3,5)

x₁ = -3

y₁ = 5

Point B: (3,1)

x₂ = 3

y₂ = 1

Plug the given values into the distance formula and simplify.

\(d = \sqrt{( x_2 - x_1)^2 + (y_2 -y_1 )^2} \\\\d = \sqrt{( 3-(-3))^2 + (1 -5)^2} \\\\d = \sqrt{( 3+ 3)^2 + (1 -5)^2} \\\\d = \sqrt{( 6)^2 + (-4)^2} \\\\d = \sqrt{36 + 16} \\\\d = \sqrt{52}\\\\d = 2\sqrt{13}\)

Therefore, the distance between the points is 2√13.

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Answer:

reflection across the y- axis

Step-by-step explanation:

Under a reflection in the y- axis

a point (x, y ) → (- x, y )

Thus

The given transformation rule (x, y ) → ( - x, y )

Represents a reflection in the y - axis

Answer:

1:165

Step-by-step explanation:

I tr8ed my best if its not r8ght sorry

Answer:

100 : 165 or 1 : 1.65

Step-by-step explanation:

1 meter is equal to 100 centimeters (cm), knowing this the ratio between her and her teacher would be 100 to 165 (100:165)

165 centimeters is equal to 1 meter 65 centimers (165/100)

this yields the ratio of 1:1.65

The absolute value function for this problem is given as follows:

g(x) = |x - 1| - 2.

An absolute value function of vertex (h,k) is defined as follows:

y = a|x - h| + k.

In which a is the leading coefficient.

The coordinates of the vertex for this problem are given as follows:

(1, -2).

As the slope of the line is of 1, the leading coefficient is given as follows:

a = 1.

Hence the absolute value function for this problem is given as follows:

g(x) = |x - 1| - 2.

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The equation that represents the cost of the hamburger with additional topping will be c = 0.295t + 3.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

A burger consistently cost $6.00 each extra fixing cost $0.59.

Let 'c' be the cost and 't' be the cost of topping. Then the equation is given as,

c = 0.59t + 6

On Monday the expense of the burger just is half off. Then the equation is given as,

c = 0.50(0.59t + 6)

c = 0.295t + 3

The equation that represents the cost of the hamburger with additional topping will be c = 0.295t + 3.

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If the radius of sphere B is five times the radius of sphere A, then the ratio of the volume of sphere B to the volume of sphere A is 125. So, Option C is correct.

The volume of a sphere is given by the formula V = (4/3)πr^3, where r is the radius of the sphere and π is a mathematical constant approximately equal to 3.14159.

If the radius of sphere B is five times the radius of sphere A, then we can express this relationship mathematically as r₂ = 5r₁, where r₁ is the radius of sphere A.

Using the formula for the volume of a sphere, we can then calculate the ratio of the volume of sphere B to the volume of sphere A as follows:

V₂/V₁ = [(4/3)πr₂^3] / [(4/3)πr₁^3]

= (r₂/r₁)^3

= (5r₁/r₁)^3

= 5^3

= 125

Therefore, the ratio of the volume of sphere B to the volume of sphere A is 125. This means that sphere B has a volume that is 125 times larger than the volume of sphere A, because the relationship between the volumes of spheres is proportional to the cube of their radii. Therefore, option C is correct.

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Complete question is:

If the radius of sphere B is five times the radius of sphere A, then the ratio of the volume of sphere B to the volume of sphere A is

Select one:

A. 0.008

B. 25

C. 125

D. 5

E. 0.2.

Answer:

Step-by-step explanation:

gradient = 5 = [k-(-1)]/[6-2]

[k+1]/4 = 5

k+1=20

k=19

The value of k in the line that passes through the points A(2, -1) and (6, k) with a gradient of 5 is found to be 19 by using the formula for gradient and solving the resulting equation for k.

To find the value of k in the line that passes through the points A(2, -1) and (6, k) with a gradient of 5, we'll use the formula for gradient, which is (y2 - y1) / (x2 - x1).

The given points can be substituted into the formula as follows: The gradient (m) is 5. The point A(2, -1) will be x1 and y1, and point B(6, k) will be x2 and y2. Now, we set up the formula as follows: 5 = (k - (-1)) / (6 - 2).

By simplifying, the equation becomes 5 = (k + 1) / 4. To find the value of k, we just need to solve this equation for k, which is done by multiplying both sides of the equation by 4 (to get rid of the denominator on the right side) and then subtracting 1 from both sides to isolate k. So, the equation becomes: k = 5 * 4 - 1. After carrying out the multiplication and subtraction, we find that k = 20 - 1 = 19.

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