Help pls. Given l || m || n, find the value of x.

The wire used for the triangular pendant can have a cost more than 664.65 USD and less than 791.25 USD.

In this problem we find the case of a triangle, in which the length of two sides are known and we need to determine the range of costs associated to the set of all possible triangles. This can be derived by the geometric system described in the image attached below. The minimum and the maximum costs of the pendant:

θ = 0°

l = 10.5 cm - 2.5 cm

l = 8 cm

s = 10.5 cm + 8 cm + 2.5 cm

s = 21 cm

C = (31.65 USD / cm) · (21 cm)

C = 664.65 USD

θ = 180°

l = 10.5 cm + 2.5 cm

l = 13 cm

s = 10.5 cm + 2.5 cm + 12.5 cm

s = 25 cm

C = (31.65 USD / cm) · (25 cm)

C = 791.25 USD

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Answer:

the minimum sample size n = 11.03

Step-by-step explanation:

Given that:

approximate value of the population standard deviation \(\sigma\) = 49

level of significance ∝ = 0.01

population mean = 38

the minimum sample size n = ?

The minimum sample size required can be determined by calculating the margin of error which can be re[resented by the equation ;

Margin of error = \(Z_{ \alpha /2}} \times \dfrac{\sigma}{\sqrt{n}}\)

\(38 = \dfrac{2.576 \times 49}{\sqrt{n}}\)

\(\sqrt{n} = \dfrac{2.576 \times 49}{38}\)

\(\sqrt{n} = \dfrac{126.224}{38}\)

\(\sqrt{n} = 3.321684211\)

\(n= (3.321684211)^2\)

n ≅ 11.03

Thus; the minimum sample size n = 11.03

To prove that there are only these five regular polyhedra, we can consider Euler's polyhedron formula, which states that for any convex polyhedron, the number of vertices (V), edges (E), and faces (F) satisfy the equation V - E + F = 2.

The five regular polyhedra, also known as the Platonic solids, are the only convex polyhedra where all faces are congruent regular polygons, and the same number of polygons meet at each vertex.

The five regular polyhedra are:

1. Tetrahedron: It has four triangular faces, and three triangles meet at each vertex.

2. Cube: It has six square faces, and three squares meet at each vertex.

3. Octahedron: It has eight triangular faces, and four triangles meet at each vertex.

4. Dodecahedron: It has twelve pentagonal faces, and three pentagons meet at each vertex.

5. Icosahedron: It has twenty triangular faces, and five triangles meet at each vertex.

To prove that there are only these five regular polyhedra, we can consider Euler's polyhedron formula, which states that:

"for any convex polyhedron, the number of vertices (V), edges (E), and faces (F) satisfy the equation V - E + F = 2".

For regular polyhedra, each face has the same number of sides (n) and each vertex is the meeting point of the same number of edges (k). Therefore, we can rewrite Euler's formula for regular polyhedra as:

V - E + F = 2  

=>  kV/2 - kE/2 + F = 2  

=>  k(V/2 - E/2) + F = 2

Since each face has n sides, the total number of edges can be calculated as E = (nF)/2, as each edge is shared by two faces. Substituting this into the equation:

k(V/2 - (nF)/2) + F = 2  

=>  (kV - knF + 2F)/2 = 2  

=>  kV - knF + 2F = 4

Now, we need to consider the conditions for a valid polyhedron:

1. The number of faces (F), edges (E), and vertices (V) must be positive integers.

2. The number of sides on each face (n) and the number of edges meeting at each vertex (k) must be positive integers.

Given these conditions, we can analyze the possibilities for different values of n and k. By exploring various combinations, it can be proven that the only valid solutions satisfying the conditions are:

(n, k) pairs:

(3, 3) - Tetrahedron

(4, 3) - Cube

(3, 4) - Octahedron

(5, 3) - Dodecahedron

(3, 5) - Icosahedron

Therefore, there exist only five regular polyhedra.

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Answer: One root

Reason:

The term "root" refers to the x intercept.

We plug in y = 0 and solve for x to get the x intercept

y = 2x-12

0 = 2x-12

2x = 12

x = 12/2

x = 6

The root is 6.

The single x intercept is located at (6,0).

The dimensions of the rectangular box are given as follows:

All the dimensions.

The volume of a rectangular prism, with dimensions length, width and height, is given by the multiplication of these dimensions, according to the equation presented as follows:

Volume = length x width x height.

The box's volume is obtained as follows:

54 x 1³ = 128 x (3/4)³ = 54 cubic inches. (the volume of a cube is the side length cubed)

Hence all the options can be the dimensions of the box, as all the options have a multiplication resulting in 54.

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The First mistake she made is simplifying 4(x+5) - 3x to be 4x+5-3x.

The mistake here is that she did not expand the 4(x+5) correctly. She forgot to multiply 4 by 5 to correctly expand the bracket. The correct expansion of "4(x+5)" is "4x + 20" and not "4x + 5"

The second mistake is that she simplified 4x+5-3x to be equal to 6. This is wrong.

"4x+5-3x" gives "x + 5" and not 6.

The correct simplification of the problem is as follows:

4(x+5) - 3x = 4x + 20 -3x

Collect like terms

=4x - 3x + 20

=x + 20

The correct answer should be x + 20

Answer:

1.25

Step-by-step explanation:

you have to take the 9 pages and divide by 7 and then divide that by 60 and u get 1.25

To estimate 56.75 - 46.9:

To solve this,

First step: Add zero to 46.90 to make it 2 decimal places

Second step: Start your subtraction from the right hand side

ANSWER:

9.85

Answer:

C. Simulation

Step-by-step explanation:

The answer is Simulation the modeling events using random numbers is known as a simulation option (C) Simulation is correct.

A survey is a means of gathering information from a sample of people using pertinent questions with the goal of understanding populations as a whole.

It is given that:

Modeling events using random numbers is known:

As we know, a simulation recreates random occurrences by specifying event outcomes with relative frequencies that match the real-world relative frequencies we're aiming to simulate using random numbers.

It's called a simulation when you use random numbers to model an event.

Modeling events using random numbers is known as a simulation.

Thus, the answer is Simulation the modeling events using random numbers is known as a simulation option (C) Simulation is correct.

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The csc(theta) = 1/sin(theta) = 1/(-2/√13) = -√13/2. So, the cosecant of theta is -√13/2.

To find the cosecant (csc) of theta when a point (-3, -2) lies on its terminal side, we need to determine the hypotenuse (r) of the right triangle formed by this point.

Using the Pythagorean theorem, r^2 = (-3)^2 + (-2)^2. So, r^2 = 9 + 4 = 13, and r = √13.

The csc(theta) is the reciprocal of sin(theta). Sin(theta) is calculated as the ratio of the opposite side (y-coordinate) to the hypotenuse, or sin(theta) = -2/√13.

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To calculate the circumference of a circle using its radius you have to calculate twice its radius multiplied by pi, following the formula:

The given radius has a radius of r=9m, you can calculate the circumference as:

The circumference of the circle is 18π m or aproximatelly 56.55m

Yes Kazuko's reasoning is  correct the expressions 5x and 6 - x are equivalent expressions

When two expressions can be reduced to a single third expression or when one of the expressions can be expressed in the same way as the other, they are said to be equivalent. When values are replaced for the variable and both expressions yield the same result, you may also tell if two expressions are equal.

X-terms and constants should be combined with any other like terms on either side of the equation. Put the terms in the same sequence, with the x-term generally coming before the constants. The two phrases are equal if and only if each of their terms is the same.

5x and 6 - x

5x +  6 - x

2 (2 x + 3)

4 x + 6

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Answer:

361 ft²

Step-by-step explanation:

Each side of the square pool,

→ 19 ft

Formula we use,

→ side²

The area of the square pool will be,

→ side²

→ (19)²

→ 361 ft²

Hence, area of the pool is 361 ft².

Answer:

Area = 361 ft²

Step-by-step explanation:

Area of a square = \(x^2\)  (where \(x\) is the side length)

Given:

\(\begin{aligned}\implies \textsf{Area of the pool}&=\sf 19^2\\& = \sf 19 \times 19\\& = \sf 361\:ft^2\end{aligned}\)

Answer:

10x +30

Step-by-step explanation:

2(3 + 5x) + 24

Distribute

2*3 + 2*5x+24

6+10x+24

Combine like terms

10x +30

Answer:

14.97

Step-by-step explanation:

The approximate height of the cylindrical barrel is 23 inches.

What is volume of cylinder ?
The volume of a cylinder is the amount of space inside the cylinder. It is given by the formula:

\(V = \pi r^2h\)

where V is the volume, r is the radius of the circular base of the cylinder, and h is the height of the cylinder.

The formula tells us that the volume of a cylinder is proportional to the square of the radius and the height. This means that if we double the radius or the height, the volume of the cylinder will be multiplied by a factor of 4.

According to the question:

Let's start with the formula for the volume of a cylinder:

\(V = \pi r^2h\)

where V is the volume, r is the radius, and h is the height.

We know that the barrel holds 10,164 cubic inches of oil, which is equal to 44 gallons. Since 1 gallon is equal to 231 cubic inches, we can convert the volume to cubic inches:

10,164 cubic inches = 44 * 231 cubic inches/gallon = 10,164 cubic inches.

So, we have:

V = 10,164 cubic inches

r = unknown

h = 23 inches

We can solve for the radius by rearranging the formula:

r = sqrt(V / (πh))

Substituting the values we have:

r = sqrt(10,164 / (π * 23))

r ≈ 8.25 inches

Therefore, the approximate height of the barrel is 23 inches.

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Answer:

you can make 12 cans of them

Answer:

1) 11 + 5x = 10 + -3x

11 + 5x = 10 + -3x

11 + 5x + 3x = 10 + -3x + 3x

5x + 3x = 8x

5x + 3x = 8x11 + 8x = 10 + -3x + 3x

-3x + 3x = 0

-3x + 3x = 011 + 8x = 10 + 0

-3x + 3x = 011 + 8x = 10 + 011 + 8x = 10

11 + -11 + 8x = 10 + -11

11 + -11 = 0

11 + -11 = 00 + 8x = 10 + -11

11 + -11 = 00 + 8x = 10 + -118x = 10 + -11

10 + -11 = -1

10 + -11 = -18x = -1

x = -0.125

x = -0.125

3) 22−3x=13−8x

x=−95=−1.800

x=−95=−1.800

x=−95=−1.800

x=−95=−1.80

x=−95=−1.800

x=−95=−1.800

x=−95=−1.800

22-3*x-(13-8*x)=0

Solve : 5x+9 = 0

Solve : 5x+9 = 0 Subtract 9 from both sides of the equation :

Solve : 5x+9 = 0 Subtract 9 from both sides of the equation : 5x = -9

Solve : 5x+9 = 0 Subtract 9 from both sides of the equation : 5x = -9Divide both sides of the equation by 5:

Solve : 5x+9 = 0 Subtract 9 from both sides of the equation : 5x = -9Divide both sides of the equation by 5: x = -9/5 = -1.800

Solve : 5x+9 = 0 Subtract 9 from both sides of the equation : 5x = -9Divide both sides of the equation by 5: x = -9/5 = -1.800

Solve : 5x+9 = 0 Subtract x = -9/5 = und 5x+9 = 0

5x -9=0

x = -9/5 = -1.800

x = -9/5 = -1.800

5x+9 = 1.800

5x =-9

x = -9/5 = -1.800

The exponential function that models a 15% decay is: y = (0.85)^t^(1/2)

To find the base that could be written in the blank to make the exponential function model a 15% decay, we can start by understanding the nature of exponential decay.

The general formula for exponential decay is given by:

y = A(1 - r)^t

Where:

y represents the final amount or value after time t.

A is the initial amount or value.

r is the decay rate (expressed as a decimal).

t is the time.

In this case, we want to find the decay rate (r) that corresponds to a 15% decay. A 15% decay means that the final amount is 85% of the initial amount. So, we can write the equation as:

y = A(1 - 0.15)^t

Simplifying further:

y = A(0.85)^t

Comparing this equation to the given form y = (_)t^(1/2), we see that the base in the blank must be 0.85.

Therefore, the exponential function that models a 15% decay is:

y = (0.85)^t^(1/2)

This equation represents a scenario where the initial value or amount (A) is being reduced by 15% over time (t), with the exponent of 1/2 indicating that the decay occurs at a square root rate.

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The first step to find the equation of the line is to find its slope. To do it, we need to use the following formula:

Where y2 and y1 are the y coordinates of 2 given points on the line, and x2 and x1 are the x coordinates of the same points. m is the slope.

Replace for the given values and find the slope:

Now, use one of the given points and the slope in the point slope formula:

Replace for the known values:

The equation of the line is y=15x-30

Answer:

m = 10x + 2

Step-by-step explanation:

Based on the maximum taxable amount for social security in 2009, and the social security tax rate, the social security tax that Larry paid was $7,347.

The total amount paid by Larry as Social security tax can be found as;

= Maximum amount allowable for social security tax x Social security tax rate

The social security tax rate was 6.2% not 62.2%.

The social security tax was therefore:

= 118,500 x 6.2%

= $7,347

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Answer:

what you are looking? if you need a answer I think it is 24t^7 but tell me what are you looking

The answer is the last statement.

The x axis is the only axis of symmetry

Answer:

when the question is rearranged so that y is by itself, any of the options that say - 2.5x will be parallel.

Step-by-step explanation:

5x + 2y = 1

to get y by itself, simple algebra rules must be applied.

1. subtract 5x from both sides.

5x - 5x + 2y = 1 - 5x

2y = 1 - 5x

divide both sides by 2

2y / 2 = 1 / 2 - 5x / 2

therefore the new equation is:

y = 0.5 - 2.5x

this is very close to standard form for a line which is y = mx + b

rearrange the right side of the equals sign:

y = -2.5x + 0.5

in a standard linear equation, the x value determines the gradient of the line. therefore, anything with the same gradient (in this case -2.5x) will be parallel to the given equation.

Hope this makes sense :)

The percentile of 6.2 in the given data set is 40%.

To determine the percentile of 6.2 in the given data set, we can use the following steps:

Arrange the data set in ascending order:

4.2, 4.6, 5.1, 6.2, 6.3, 6.6, 6.7, 6.8, 7.1, 7.2

Count the number of data points that are less than or equal to 6.2. In this case, there are 4 data points that satisfy this condition: 4.2, 4.6, 5.1, and 6.2.

Calculate the percentile using the formula:

Percentile = (Number of data points less than or equal to the given value / Total number of data points) × 100

In this case, the percentile of 6.2 can be calculated as:

Percentile = (4 / 10) × 100 = 40%

The percentile of 6.2 in the sample data set is therefore 40%.

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Answer:

Perpendicular

Step-by-step explanation:

Intersect over each other