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With the angle of elevation being 5 degrees,
and the height of the pyramid being 481 feet,
what length must the ramp be?
Include a picture below with your work and the solution.

The length of the unknown side or, the length of AC = 22.62.

To calculate the length of the unknown side in a right triangle, we can use the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides or, in familiar algebraic notation, a2 + b2 = c2.

In this Question, side AC is the hypotenuse, so we can use the Pythagorean theorem to find the length of side AC:

AC^2 = AB^2 + BC^2

We know that AB = 12 and BC = 19, so we can substitute these values into the equation:

AC^2 = 12^2 + 19^2

AC^2 = 144 + 361

AC^2 = 505

To find the length of AC, we can take the square root of 505:

AC = √505

Rounded to two decimal places, the length of AC = 22.62.

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The equation that represents the second step of solution process is 12x-3+27=-24. Thus, option A is correct.

The simplex method is a widely used linear programming methodology for addressing optimization problems. These problems typically involve a function and a number of constraints that are stated as inequalities.

Step 1: 3(4x-1)+27=-24

Step 2: 12x-3+27=-24

Step 3: 12x+24=-24

Step 4: 12x=-48

Step 5: x=-4

A. 12x-3+27=-24.

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By assuming that the taxpayer has $100,000 as his income on the completed Form 1040, the total tax that the employee is responsible for paying will be: $17,836.

A tax bracket is a range of incomes that are taxed at a specific rate. Tax brackets are part of a progressive tax system, which means that tax rates increase progressively as an individual's income increases. Low-income taxpayers pay relatively low tax rates, while higher-income taxpayers pay higher rates.

In 2022, for example, a single filer with taxable income of $100,000 will pay $17,836 in taxes, representing an average tax rate of 18%. However, your marginal tax rate or tax bracket is 24%. As a result, the total tax that the employee is responsible for is $17,836.

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By concept of linear equations, The number of birds is 14 and number of lions is 17.

What is a linear equation ?

A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation. The standard form of a linear equation in one variable is of the form

Ax + B = 0

e.g. x-10=0. Here, x is a variable, A is a coefficient and B is constant.

The standard form of a linear equation in two variables is of the form

Ax + By = C

e.g. 2x-4y=10. Here, x and y are variables, A and B are coefficients and C is a constant.

Now,

Let no. of birds=x and no. of lions=y

Given heads=31

and feet=96

Therefore, the equations will be

             x+y=31 and 2x+4y=96

from given equations x=14 and y=17.

Hence,

           The number of birds is 14 and number of lions is 17.

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Six categories of integers based on their ones digit are:

The cases when sum or difference of the pair is divisible by 10:

Therefore, no matter which seven integers we choose, there is always a pair that meets the condition.

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The area of the rectangular garden can be calculated as follows: 57 m * 42 m = 2406 m^2.

The ornamental fence with a width of 60 cm has a width of 0.6 m. If the fence is planted inside the perimeter of the garden, the length of the garden will decrease by 2 * 0.6 m = 1.2 m and the width of the garden will decrease by 2 * 0.6 m = 1.2 m.

So, the new length and width of the garden will be 57 m - 1.2 m = 55.8 m and 42 m - 1.2 m = 40.8 m, respectively.

The new area of the garden can be calculated as follows: 55.8 m * 40.8 m = 2270.784 m^2.

Finally, the decrease in area can be calculated as follows: 2406 m^2 - 2270.784 m^2 = 35.216 m^2.

Therefore, the area of the garden will decrease by 35.216 m^2.

Answer:

The width of the ornamental fence is 60 cm, which is equal to 60/100 = 0.6 meters.

The total length of the ornamental fence that will be planted inside the perimeter of the rectangular garden is 2 * (57 m + 42 m) = 2 * 99 m = 198 m.

The decrease in the area of the garden due to the ornamental fence is 0.6 m * 198 m = 118.8 m^2.

Answer:

let the two numbers be x and y.

Given ,

[tex] \underline{\underline{\frac{x}{y} = \frac{3}{5}}} \\ [/tex]

To find - ratio of squares of the two numbers.

[tex]\longrightarrow \: \frac{ {x}^{2} }{ {y}^{2} } = ( \frac{ {3}^{2} }{ {5}^{2} } ) \\ \\ \longrightarrow \: \boxed{\frac{ {x}^{2} }{ {y}^{2} } = \frac{9}{25} }[/tex]

Therefore ,

[tex] \underline{\underline{ratio \: of \: the \: squares \: of \: two \: numbers \: = \: 9 \: : \: 25}} [/tex]

hope helpful! :)

A ∪ B ∪ C is the set of all items in sets A, B, or C.

Region V: Items in A, B, and C

In set theory, the union of two or more sets is a new set that contains all the elements from each of the original sets. For example, if A = {1, 2, 3} and B = {2, 3, 4}, then A ∪ B = {1, 2, 3, 4}.

In this case, A ∪ B ∪ C represents the set of all elements that belong to at least one of the sets A, B, or C.

Therefore, A ∪ B ∪ C represents the set of all items in sets A, B, or C.

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A population includes all elements or objects of interest in a study, whereas a sample is a subset of the population used to gain insights into the characteristics of the population.

The following statement is True.

A variable is a trait that can be measured and has several values. Variables include height, age, income, province or country of birth, school grades, and kind of dwelling. Variables can be divided into two types: category and numeric.

A "sampling frame" is a list of all population items to be researched. Probability and nonprobability are the two primary types of sampling methodologies. A simple random sample is a sample drawn from the population in which every member has an equal probability of being chosen.

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[tex](\stackrel{x_1}{8}~,~\stackrel{y_1}{-16})\qquad (\stackrel{x_2}{1}~,~\stackrel{y_2}{5}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{5}-\stackrel{y1}{(-16)}}}{\underset{\textit{\large run}} {\underset{x_2}{1}-\underset{x_1}{8}}} \implies \cfrac{5 +16}{-7} \implies \cfrac{ 21 }{ -7 } \implies - 3[/tex]

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-16)}=\stackrel{m}{- 3}(x-\stackrel{x_1}{8}) \implies y +16 = - 3 ( x -8) \\\\\\ y+16=-3x+24\implies {\Large \begin{array}{llll} y=-3x+8 \end{array}}[/tex]

The variable cost per unit produced and sold is, $11.50

In mathematics, Average is a value which we calculate by dividing the sum of values of all the data-set by the number of data-sets.

Average = sum of values of all the data-set/number of data-sets

The variable cost per unit produced and sold can be calculated by summing up the costs that vary with changes in production volume, and dividing the total by the number of units produced and sold.

For Martinez Company, the variable costs per unit are:

Direct materials = $ 6.00

Direct labor = $ 3.50

Variable manufacturing overhead  = $ 1.50

Variable administrative expense = $ 0.50

Total variable cost per unit = $6.00 + $3.50 + $1.50 + $0.50

                                             = $11.50

So, if 8,000 units are produced and sold, the variable cost per unit produced and sold would be $11.50.

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Answer:

im sorry bro i

Step-by-step explanation:

i just need points

Answer:

A

Step-by-step explanation:

[tex]4\leq x < 4[/tex]

Focusing on the left end of the graph, the x value corresponding to the graph is -4. The circle present at this end of the graph is coloured in, which indicates that -4 is included in the domain.

Focusing on the right end of the graph, the x value corresponding to the graph is 4. The circle present at this end of the graph is NOT coloured in, which indicates that 4 is NOT included in the domain.

Mercury, gallium, and caesium often have low melting points, except gold. The only liquid metal with a 38 °C melting temperature is mercury.

They have high melting and boiling points because melting and boiling require a lot of energy to break through the strong metallic connections present in a metal's massive structure.

Brass: 930 °C (1710 °F) Aluminium Bronze*: 1027-1038 °C (1881-1900 °F) Chromium: 1860 °C (3380 °F) Copper: 1084 °C (1983 °F).

In general, aluminium is an easy metal to melt, and it is easy to get your hands on.  To make aluminum metal shapes, many people melt discarded soda cans made of aluminum. The aluminum should be heated until it melts completely.

Therefore, the melting or boiling point will be higher the more energy is required. Varying metals have different melting and boiling points because the force of attraction between the metal ions differs between them.

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The number of girls in the next 200 girls surveyed that would choose their favorite sport as bowling are 8 girls.

We must divide the value by the entire value to find the percentage, and then multiply the resulting number by 100.

Given that 300 girls were asked to name their favorite sport. 12 of the girls named bowling as their favorite.

The percentage of girls that selected the sport is thus:

12/ 300 (100) = 4%

For the next 200 girls, calculate the 4% of the number to get the number of girls who like bowling:

200 (4%) = N

N = (200)(4/100)

N = 8

Hence, the number of girls in the next 200 girls surveyed that would choose their favorite sport as bowling are 8 girls.

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The graph that shows the solution to the system of linear equations is the coordinate plane with the lines that pass through the points (0, 0), and (2, 1) and another line (0, 4), and (-1, 1).

What is the system of linear equations?

A system of linear equations is a set of two or more linear equations involving the same variables. Here, linear equations can be defined as the equations of the first order, i.e., the highest power of the variable is 1. Linear equations can have one variable, two variables, or three variables.

The graph that shows the solution to the system of linear equations is the coordinate plane with one line that passes through the points 0, 0, and 2, 1 and another line that passes through the points 0, 4, and -1, 1.

When two lines intersect, their point of intersection is the solution to the system of linear equations.

In this case, the point of intersection is (2, 1) which means x = 2 and y = 1.

Hence, The graph that shows the solution to the system of linear equations is the coordinate plane with the lines that pass through the points (0, 0), and (2, 1) and another line (0, 4), and (-1, 1).

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Answer:

Dentist counted to few days.

Step-by-step explanation:

The value of given expression 7 raised to the power 2 divided by 7 raised to the power 3 is 1 / 7

What is Algebraic expression ?

Algebraic expression can be defined as combination of variables and constants.

Given expression,

7 raised to the power 2 divided by 7 raised to the power 3

7 ^ 2 / 7 ^ 3

The value of a ^ m / a ^ n  = a ^ m-n

= 7 ^ (2-3)

= 7 ^ ( -1)

= 1 / 7 .

Therefore, The value of given expression 7 raised to the power 2 divided by 7 raised to the power 3 is 1 / 7

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When the center angle is 60 degrees, the arc length is measured in 1.047 units.

An arc is any smooth curve that connects two locations. The length of an arc is referred to as its arc length. A graph arc is an ordered pair of neighboring vertices in a graph. An arc is defined as any segment (other than the complete curve) of a circle's circumference. An "arc" is a smooth curve that connects two points in mathematics. In general, an arc is a section of a circle. It is essentially a portion of a circle's circumference. An arc is a kind of curve.

Here,

angle=60°

in triangle BCD,

cos 60=CB/DB

DB= 2 units

radius=1 unit

arc length=2πr*(θ/360)

=2*3.14*1*60/360

=1.047 units

The measure of arc length when central angle is 60 degree is given by 1.047 units.

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The value of y is 1446.38.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

y = 601 [tex](1.05)^{18}[/tex]

Now,

y = 601 x 2.4066192336911

y = 1446.3781

y = 1446.38

Thus,

y = 1446.38

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The equation for the population after x years can be represented using  P(x) = 158,260 * (1 + 0.06)^x

From the question, we have the following parameters that can be used in our computation:

Initial, a = 158260

Rate, r = 6%

The function is represented as

P(x) = a(1 + r)^x

This means that

P(x) = 158,260 * (1 + 0.06)^x

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Answer:

92

Step-by-step explanation:

We first do 12x7 which equals to 84

Then we add 8 which equals to 92

The unit cost for Cinema A is $5.50 per pass and the unit cost for Cinema B is $5.80 per pass.

To find the unit cost of each movie pack, we need to divide the total cost by the number of passes in each pack.

The unit cost for Cinema A's twelve-pack can be calculated as follows:

unit cost for Cinema A = $66 / 12 passes = $5.50 per pass

The unit cost for Cinema B's five-pack can be calculated as follows:

unit cost for Cinema B = $29 / 5 passes = $5.80 per pass

So, the unit cost for Cinema A is $5.50 per pass and the unit cost for Cinema B is $5.80 per pass.

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Answer: x = 8 and YZ = 19

Step-by-step explanation:

mb i focused on the x between a and y and i forgot the x they were talking about was the x in the equations..

since its a bisector, we know that az = yz therefore 2x + 3 = 3x - 5

2x + 3 = 3x - 5

2x + 8 = 3x

8 = x

now we know the value of x, we can plug it into the equation for yz

3(8) - 5

24 - 5

19

therefore, x = 8 and yz = 19

Answer:

7 child tickets

14   adult tickets

Step-by-step explanation:

Let a = the number of adult tickets

Let c = the number of child tickets

16a + 16c + 672

2c = a  Substitute 2c for a

15a + 16c = 672

16(2a) + 16c = 672

32a + 16c = 672  Combine like terms

48a = 672  Divide both sides by 48

a = 14

2c = a

2c = 14  Divide both sides by 2

c = 7                                                                                                  

Tyler's current Slugging Percentage is 546 and  current Batting Average is 192.

Slugging percentage is a statistic used in baseball and softball to measure a batter's total number of bases per at bat. It is calculated by dividing the total number of bases earned by the number of at-bats. This statistic is often used to compare batters since it takes into account the number of bases earned in addition to the number of hits. Slugging percentage is an important statistic to consider when evaluating batters since it provides an overall picture of how well a batter is performing. Slugging percentage is usually expressed as a decimal or a percentage, with a higher percentage indicating better performance.

Tyler's current Slugging Percentage is .546. This is calculated by adding the total number of bases earned (74 + 2*13 + 3*11 + 4*4 = 194) and dividing that by the total number of at-bats (383).

Tyler's current Batting Average is .192. This is calculated by dividing the total number of hits (74 + 13 + 11 + 4 = 102) by the total number of at-bats (383).

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Probability that the system works is approximately 0.9841.

Probability is simply the possibility of getting an event. Or in other words, we are predicting the chance of getting an event.

The value of probability will be always in the range from 0 to 1.

Let the three events be C₁, C₂ and C₃.

Probability that computer 1 works = P(C₁) = 0.65

Probability that computer 1 does not work = P(C₁') = 1 - 0.65 = 0.35

Probability that computer 2 works = P(C₂) = 0.65

Probability that computer 2 does not work = P(C₂') = 1 - 0.65 = 0.35

Probability that computer 3 works = P(C₃) = 0.87

Probability that computer 3 does not work = P(C₃') = 1 - 0.87 = 0.13

Let the event that at least one of the computer is working is S.

P(S) = 1 - P(no computer is working)

P(no computer is working) = P(C₁' ∩ C₂' ∩ C₃')

We have the operations of the computers are independent of each other.

P(C₁' ∩ C₂' ∩ C₃') = P(C₁') × P(C₂') × P(C₃')

                            = 0.35 × 0.35 × 0.13

                            = 0.015925

P(no computer is working) = 0.015925

P(S) = 1 - 0.015925

      = 0.984075 ≈ 0.9841

Hence the required probability is 0.9841.

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Answer:

[tex]y \: = 2cos \: ( \frac{\pi}{5} x) - 3[/tex]

The solution of the equation can be obtained as x = 1.

We have to note that the exponential equation can be solved in the form of a quadratic equation and then we can be able to obtain the values that can be able to sort out the equation.

We know that;

e^2x + e^x - 12= 0

Let p represent e^x we would then have

p^2 + p - 12 = 0

If we solve the quadratic we would have;

p = 3 or p = -4

If we discard the negative answer;

e^x = 3^1

x = 1

The solution of the equation x = 1.

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