consiconsider the inequality -5 (x + 7) <- 10 write an inequality responding the solution for x ​

To determine the exact values of sine, cosine, and tangent of an angle using the half angle formulas, we need the specific angle for which we want to calculate these values.

The half angle formulas allow us to find the values of trigonometric functions for an angle that is half the measure of a known angle. These formulas are derived from the double angle formulas and can be used to find exact values.

Identify the specific angle

To apply the half angle formulas, we need to know the measure or ratio of the specific angle for which we want to calculate the trigonometric values. Without this information, we cannot provide the exact values using the half angle formulas.

Apply the half angle formulas

Once we have the specific angle, we can use the appropriate half angle formula for the trigonometric function we want to calculate. The half angle formulas for sine, cosine, and tangent are as follows:

sine (θ/2) = ±√[(1 - cos θ) / 2]

cosine (θ/2) = ±√[(1 + cos θ) / 2]

tangent (θ/2) = ±√[(1 - cos θ) / (1 + cos θ)]

By substituting the known values or ratios of the angle into these formulas, we can determine the exact values of sine, cosine, and tangent for the given angle.

Calculate the exact values

Using the specific angle, we apply the appropriate half angle formula and perform the necessary calculations to obtain the exact values of sine, cosine, and tangent.

Learn more about half angle formulas

brainly.com/question/30400810

#SPJ11

Answer:

Y=13

Step-by-step explanation:

X is 45 so

45+5y+5=9y-2 solve and y=13

Answer:

y = 13

Step-by-step explanation:

x  + 135 = 180                   {linear pair}

         x = 180 - 135

          x = 45

 9y - 2 = 5y + 5 + x    {Exterior angle property of triangle}

 9y - 2 = 5y + 5 + 45

9y - 2 = 5y + 50       {Subtract 5y from both sides}

9y -5y  -2 = 50

  4y - 2 = 50              {Add 2 to both sides}

         4y = 50 + 2

         4y = 52             {Divide both sides by 4}

            y = 52/4

      y = 13

(a) The graph of the linear functions is as attached.

(b) The equation of the linear function in slope-intercept form is; y = x

(c) The equation of the transformed function in slope-intercept form is;

y = x + 2 and y = x - 3

Functions are defined as the relationship between sets of values. For example, in the function; y = f(x), for every value of x there exists a set of y values.

x is the independent variable.

y is the dependent variable.

If the linear function is; y = x,

The equation of the transformation in slope-intercept form is given as;

For translation of 2 units up, we have;

y = x + 2

For a translation of 3 units down, we have;

y = x - 3

Thus, the required graph has been attached and the solution is determined.

Read more about Linear Function at; https://brainly.com/question/4025726

#SPJ1

Therefore, we can conclude that the state of Alabama sold 1,110,000 packs of playing cards, since the tax of 5 cents per pack generated a total revenue of $55500

Based on the given information, we can calculate the total number of packs of cards sold in the state of Alabama.

To find the number of packs of cards sold, we need to use the formula:

Revenue = Tax per pack x Number of packs sold

We are given that the tax per pack is 5 cents, and the revenue generated is $55500. So, we can rewrite the formula as:

$55500 = 0.05 x Number of packs sold

To solve for the number of packs sold, we can divide both sides of the equation by 0.05:

Number of packs sold = $55500 / 0.05
Number of packs sold = 1,110,000

Therefore, the state of Alabama sold 1,110,000 packs of playing cards, since the tax of 5 cents per pack generated a total revenue of $55500.


The given question asks us to find the number of packs of playing cards sold in the state of Alabama, assuming that the state placed a tax of 5 cents per pack and generated a revenue of $55500. To solve this problem, we need to use the formula that relates the tax per pack, the number of packs sold, and the revenue generated.

The formula for calculating the revenue generated from a tax on playing cards is:

Revenue = Tax per pack x Number of packs sold

In this case, we are given that the tax per pack is 5 cents, and the revenue generated is $55500. We need to find the number of packs sold.

To do this, we can rearrange the formula to solve for the number of packs sold:

Number of packs sold = Revenue / Tax per pack

Substituting the given values, we get:

Number of packs sold = $55500 / 0.05
Number of packs sold = 1,110,000

Therefore, we can conclude that the state of Alabama sold 1,110,000 packs of playing cards, since the tax of 5 cents per pack generated a total revenue of $55500. It is important to note that this calculation assumes that the tax rate and revenue are directly proportional to the number of packs sold, and that there are no other factors affecting the market for playing cards in Alabama.

To know more about Revenue visit:

brainly.com/question/19584479

#SPJ11

today is December 1

Answer:

happy December first to you to, Christmas is just down the road

Step-by-step explanation:

hope it helps, have a great rest of your day, mark brainliest please

Answer:

\(3x^{2} -9x-30\)

Step-by-step explanation:

(x - 5)(3x + 6)

\(3x^{2} +6x-15x-30\\3x^{2} -9x-30\)

Answer:

3x² - 9x - 30

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

Step 1: Define

(x - 5)(3x + 6)

Step 2: Expand

The lines of symmetry for all the figures have been determined.

A symmetry in which one half of the object is symmetrical to thew other half

A square has 4 lines of reflection symmetry , 2 along its sides and 2 along its diagonals

A regular hexagon has 6 reflection symmetry , three along the midpoints of the sides and three along the daigonals

A Trapezium can have 0  or 1 lines of symmetry depending upon the length of the non parallel sides.

An equilateral Triangle has 3 lines of reflection symmetry , an isosceles has 2 lines of symmetry and a scalene triangle has no lines of symmetry.

To know more about Reflection Symmetry

https://brainly.com/question/1531736

#SPJ1

Answer:

Step-by-step explanation:

got it right

Answer:

226.2

Im pretty sure.

Answer:

Use desmos graphing calculator

C. The two quantities are equal.  We can see that both Quantity A and Quantity B have the same value of 1. Hence, the two quantities are equal.

Since we know that the length of each side of triangle T is 6 times the length of each side of triangle X, we can set up the following equations:
Length of side of T = 6 * Length of side of X
To compare the ratios of the sides, we can use the following formula:
Ratio of one side to another = Length of one side / Length of another side
For Quantity A, we can choose any two sides of triangle T and find their ratio. Let's choose the two adjacent sides:

To further explain the concept, let's consider the properties of equilateral triangles.
An equilateral triangle is a special type of triangle where all three sides are equal in length. Hence, if we know the length of one side, we automatically know the length of all three sides.
Now, coming back to the given question, we are told that the length of each side of triangle T is 6 times the length of each side of triangle X. This means that if the length of one side of triangle X is 'a', then the length of one side of triangle T is 6 times 'a', which is '6a'.
Hence, we can write:
Length of side of T = 6a
Length of side of X = a
Now, let's compare the ratios of the sides.
For Quantity A, we need to find the ratio of one side of triangle T to another side of T. Let's choose the two adjacent sides:
Ratio of adjacent sides of T = Length of side of T / Length of adjacent side of T
Since all three sides of an equilateral triangle are equal, the adjacent side of T is also 6a. Hence, we get:
Ratio of adjacent sides of T = (6a) / (6a) = 1
For Quantity B, we need to find the ratio of one side of triangle X to another side of X. Let's again choose the two adjacent sides:
Ratio of adjacent sides of X = Length of side of X / Length of adjacent side of X
Since all three sides of an equilateral triangle are equal, the adjacent side of X is also 'a'.

To know more about quantities visit :-

https://brainly.com/question/14581760

#SPJ11

The table with the scale measurements is given by the image shown at the end of the answer.

The measurements are obtained applying the proportion given for each table.

The symbols are given as follows:

For the first table, we have that every inch on the table represents one feet in real life, hence:

For the second table, we have that every inch on the paper represents two feet in real life, hence the measurements are given as follows:

More can be learned about scale measurements at https://brainly.com/question/29229124

#SPJ1

Answer: x-y= -3.... I'm just here to help so I don't know if its the right answer but if it is let me know.

Step-by-step explanation:

Answer:

9 small boxes and 15 large boxes

Step-by-step explanation:

x = small box

y = large box

x + y = 24

9x + 24y = 441

-9x - 9y = -216

15y = 225

y = 15

x + 15 = 24

x = 9

Answer:

Let x be the small boxes

Let y be the large boxes

x+y=24

9x+24y=441

Step-by-step explanation:

Based on the given parameters, we can calculate the maximum values of the construction site. The gross floor area is 9,800m², with 1,800m² allocated for lift lobby and corridor, and 200m² for lift machine room and water tank. The construction cost is $8,000/m².

The design and tendering period is 6 months, and the construction period is 16 months. The expected usage is rental at $200/m² per month, with a letting void of 2 months. The interest rate for short-term finance is 12% per annum, and the initial yield is 5%.

To calculate the maximum values of the construction site, we need to consider various factors. The gross floor area, floor area allocation, and construction cost determine the overall cost of construction. The design and tendering period and construction period provide information on the timeline of the project.

The expected usage and rental rate help estimate the potential income from renting out the space. The letting void represents the period when the space may remain unoccupied, impacting the potential income.

The interest rate for short-term finance is relevant for determining the financing costs associated with the construction project. The initial yield indicates the expected return on investment based on the rental income.

To obtain the maximum values, a comprehensive analysis considering all these factors is required. This analysis would involve calculating the total construction cost, estimating the potential rental income, factoring in the letting void and financing costs, and assessing the initial yield.

Without specific values or formulas provided, it is not possible to provide the exact maximum values based on the given parameters. A detailed financial analysis would be necessary to determine the precise figures.

To learn more about construction site: -brainly.com/question/32669840

#SPJ11

Answer: C

Step-by-step explanation:

See attached image.

For a normal distribution of the money spent on food per visitor at the san diego zoo, probability that a randomly selected par visitor will spend less than 20 is equals to 0.3488.

There is the money spent on food per visitor at the san diego zoo.

Mean of money = $27.50

Standard deviations= 8

We have to determine the probability that a randomly selected par visitor will spend less than 20, P( X < 20), where X is random variable for spending money. Using the Z-Score formula for normal distribution, \(Z = \frac{X - \mu}{\sigma } \)

where, X --> observed value

μ --> mean

σ --> standard deviations

Substitutes the known values in above formula, \(Z = \frac{20 - 27.50}{8 } \)

\(= \frac{7.50 }{8 } \)

= 0.937

The probability that a randomly selected par visitor will spend less than 20, P( X < 20) = \(P ( \frac{ X - \mu }{\sigma} < \frac {20 - 27.50}{8})\)

= P ( z < 0.937)

Using the Z-distribution table the value of P( z< 0.937) is equals to the 0.3488. So, P( X < 20) = P( z< 0.937) = 0.3488.

Hence, required probability value is 0.3488.

For more information about normal distribution, visit:

https://brainly.com/question/4079902

#SPJ4

Since the provided equation is inconsistent, it cannot intersect.

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign. A mathematical statement known as an equation is made up of two expressions joined together by the equal sign. A formula would be 3x - 5 = 16, for instance. When this equation is solved, we discover that the value of the variable x is 7.

Here,

we can see that the second set of equation,

4x+2y=12

20x+10y=30

4/20=2/10≠12/30

1/5=1/5≠2/5

The given equation is inconsistent so it does not intersect.

To know more about equation,

https://brainly.com/question/2228446

#SPJ1

By Solving the solution of the system of equations y=-x+17/2 y=4x-25 is (6.9, 1.6).

To address the arrangement of conditions y = - x + 17/2 and y = 4x - 25, we initially set the two conditions equivalent to one another since the two of them equivalent y. Then, at that point, we streamlined and addressed for x. In the wake of viewing as x = 6.9, we subbed this worth back into one of the first conditions to track down y. The answer for the arrangement of conditions is (6.9, 1.6), implying that x = 6.9 and y = 1.6 fulfill the two conditions. Here the two lines addressed by the situations converge.

To learn more about equations, refer:

https://brainly.com/question/13881211

#SPJ4

Answer: The slope is 0

Step-by-step explanation:

Answer:

The quotient will be around 7

Step-by-step explanation:

Compatible numbers in division, refers to numbers that can be divided mentally.

27 + 2/3 ÷ 3 + 9/10

27 + 0.67 ÷ 3 + 0.9

27.67 ÷ 3.9

Approximately

28 ÷ 4

=7

Answer:

the sample response is-

The first fraction is between 27 and 28, closer to 28. The second fraction is between 3 and 4, closer to 4. Compatible numbers in division are numbers that can be divided mentally. 28 divided by 4 is 7. The quotient will be around 7.

Step-by-step explanation:

Range: All real numbers greater than or equal to 3. The Option C.

To find the range of the function, we need to determine the set of all possible y-values that the function takes.

Since the line crosses the y-axis at (0, 2), we know that the function's range includes the value 2. Also, since the line turns at (-1, 3), the function takes values greater than or equal to 3.

Therefore, the range of the function is all real numbers greater than or equal to 3.

Read more about Range

brainly.com/question/14209611

#SPJ1

Answer:

7

Step-by-step explanation:

heres a model

A ----------R---------D

A ----?-----R----8---D

A----------15----------D

15 - 8 = 7

AR = 7

Answer: 14.31

Step-by-step explanation:

Using Law of Sines, we know that

\(\frac{16}{sin(72)} =\frac{PR}{sin(90)}\)

Thus, \(PR=16.8233955878\)

Then, using \(\frac{\alpha }{sin(\alpha)} =2R\),

we know that \(\frac{16.8233955878}{sin(s)} =\frac{16.8233955878}{sin(36)} =28.621670112 = 2R\)

Therefore, \(R = 14.310735056\)

Bar graph. This type of graph is ideal for comparing the number of sneakers sold by brand, as it clearly displays the numerical differences between them. It is also easy to interpret and visually appealing.

A bar graph is the best choice for displaying the number of sneakers sold by brand for the month. Bar graphs are used to compare data and show the differences between them. Each brand would be represented by its own bar, and the length of each bar would be determined by the number of sneakers sold. The bars can be labeled with the brand's name, and a numerical scale would be used at the bottom of the graph to indicate the number of sneakers sold. The data can be organized by either the number of sneakers sold (descending) or by the brand name (alphabetically). The bar graph would be easy to interpret and visually appealing. It is also a great way to compare the performance of different brands in a given period.

Learn more about bar graph here

https://brainly.com/question/10666484

#SPJ4

Answer:

3/8, 6/8, 5/8

Step-by-step explanation:

that is the right answer

Answer:3

Step-by-step explanation:

Answer:

Tyler. Because the temperature dropped at a faster °/hr rate then Mai's did

Step-by-step explanation:

                \(\frac{temp.drop}{hours}\)

Tyler

from 4-6 it dropped 8° in a course of 2 hours. averaging a 4°/Hr drop

\(\frac{8}{2hrs}\)= 4°/hr

Mai

from 6-10 it dropped 9° in a course of 4 hours. averaging a 2.25°/hr drop

\(\frac{9}{4hrs}\)= 2.25°/hr

Therefore Tyler is correct

Answer: -2.6 , - 0.4, 0, 0.8 , 1.2

Step-by-step explanation:

ascending is smallest to largest

From the extrem left of a.number line to the right

Answer:

-2.6, -0.4, 0, 0.8, 1.2

Step-by-step explanation:

Ascending order is simply the smallest number to the largest number. The smallest numbers in this set are the negative ones, and -2.6 is a smaller value than -0.4.

So far our set looks like the following:

-2.6, -0.4

Next is 0, since 0.8 and 1.2 both come after 0. After 0 would be 0.8, and 1.2 would be the largest number.

Here is the set of numbers in ascending order:

-2.6, -0.4, 0, 0.8, 1.2

The Swiss mathematician who is credited with being the first to use the pi symbol was Johann Lambert

The Swiss mathematician who is credited with being the first to use the pi symbol (π) to represent the mathematical constant that relates the circumference of a circle to its diameter was Johann Lambert (1728-1777).

The symbol caught on among mathematicians and soon became the standard notation for pi. Today, it is widely used in mathematical formulas and equations, and is recognized by people around the world as the symbol for pi.

It's worth noting, however, that the concept of pi has been known and used by mathematicians for thousands of years before Lambert's time, and the value of pi has been calculated to increasingly greater precision over the centuries. The symbol π simply provided a convenient shorthand for representing this important mathematical constant.

Learn more about Pi here

brainly.com/question/16277677

#SPJ4