Prove △ABC≅△CDA.
Please give me the next reasonable answers to prove △ABC≅△CDA.

Answer: 113.56235 Liters

Step-by-step explanation:

we will need at least 96 bags of sand to cover the base of the circular pool.

what is circle?

A circle is a two-dimensional geometric shape consisting of all the points that are equidistant from a given point, called the center.

The area of a circular pool with a diameter of 22 feet can be calculated using the formula:

A = πr^2

where A is the area of the circle, π is a constant (approximately equal to 3.14), and r is the radius of the circle (which is half the diameter).

In this case, the diameter is 22 feet, so the radius is:

r = d/2 = 22/2 = 11 feet

Now we can calculate the area of the circle:

A = πr^2 = 3.14 x 11^2 = 379.94 square feet (rounded to 2 decimal places)

To cover this area with sand, we need to know how many bags of sand are required. We are told that one bag of sand covers about 4 square feet, so we can calculate the number of bags of sand required as follows:

Number of bags = Area of pool / Area covered by one bag

Number of bags = 379.94 square feet / 4 square feet per bag

Number of bags ≈ 95 bags

Since we need to round up to a whole number of bags, we will need at least 96 bags of sand to cover the base of the circular pool.

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Answer:

the frequency of someone interru

Step-by-step explanation:

The correct answer is (d) noise. Unwanted sound that is regarded loud, unpleasant, or disruptive to hearing is called noise.

Even if the label "unwanted" is arbitrary, some sounds are frequently regarded as noise. A sound pressure level, expressed in decibels, is used to measure or anticipate noise (dB).

here, we have,

The measurements and noise meter used depend on the application; different noise metrics can account for magnitude, frequency, and time in different ways.

and, we have,

Another illustration is workplace noise, where the effect of noise on hearing loss is of utmost importance.

To offer a degree of exposure that can be associated to the possibility of hearing loss in employees exposed to the sound during the course of exposure, both the intensity and duration of sound are combined.

Hence, The correct answer is (d) noise. Unwanted sound that is regarded loud, unpleasant, or disruptive to hearing is called noise.

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Complete question:

ivan is trying to understand the concern of an angry customer, but several employees keep interrupting the conversion. these interruptions are an example of

Answer:

Shirt = $20
Sweater = 30

Step-by-step explanation:

3sh + 2sw = 120

2sh + 4sw = 160

Multiply (3sh + 2sw = 120) by -2
-6sh + -4sw = -240  -> -6sh -4sw = -240
Add the two equations -6sh -4sw = -240 and 2sh + 4sw = 160 together. -4sh = -80
Shirt = 20
Substitude in 20
3 x 20 = 60 120 - 60 = 60 60/2=30

The concentration οf hydrοgen ions in a sοlution with pH 2.44 is [tex]2.754\times 10-12 M[/tex]

The pH value is a measure οf the acidity or basicity of a solution. It is defined as the negative lοgarithm (base 10) of the concentration of hydrogen ions (H+) in moles per liter (mol/L) of solutiοn. The pH scale ranges from 0 to 14, where a pH of 7 is considered neutral. Solutions with a pH less than 7 are acidic, while solutiοns with a pH greater than 7 are basic οr alkaline.

a) Given pH = 2.44

We knοw  pH + pOH = 14,

pOH = 14 - 2.44 = 11.56

[tex][H+] = 10^{-pH} = 10^{-2.44} = 3.63\times 10 ^{-3} M[/tex]

[tex][OH-] = 10-pOH = 10-11.56 = 2.754\times 10-12 M[/tex]

b) Given ,pOH = 10.85

and it is knοwn that pH + pOH = 14, thus pH = 14 - 10.85= 3.15

[tex][H+] = 10^{-pH} = 10^{-3.15} = 7.07\times10^{-4 M}[/tex]

[tex][OH-] = 10^{-pOH} = 10^{-10.85} = 1.41\times10^{-11} M[/tex]

c) Given pH = -0.65

and it is knοwn that pH + pOH = 14, thus pOH = 14 +0.65 = 14.65

[tex][H+] = 10^{-pH} = 10^{0.65} = 4.466 M[/tex]

[tex][OH-] = 10^{-pOH} = 10^{-14.65} = 2.23 \times10^{15} M[/tex]

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Complete question:

Calculate the [H+] and [OH-] concentrations for the fοllowing solutions with: (a) pH = 2.44 (b) pOH = 10.85 (c) pH = -0.65

We can write the expression for {P} as -

P = a + b + 4ab - 2y

In mathematics, an inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. It is used most often to compare two numbers on the number line by their size

Given are the expressions as -

P = a + b + 2c

y = 2ab - C

We can write -

C = 2ab - y

Putting the values in the equation -

P = a + b + 2c

P = a + b + 2(2ab - y)

P = a + b + 4ab - 2y

Therefore, we can write the expression for {P} as -

P = a + b + 4ab - 2y

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The function has domain = {2, , 5, - 4, - 5} and rangle = {1, 4, 5, 3, - 6} and it is not a function.

Suppose we have an ordered pair (x, y) then the domain of the function is the set of values of x and the range is the set of values of y for which x  is defined.

From the given coordinate plots the ordered pairs are,

(2, 1), (2, 4), (5, 5), (- 4, 3), and (- 5, - 6).

We know a relation is not a function when two distinct ordered pairs have the same x-coordinate.

In this case (2, 1) and (2, 4) have the same x-coordinate and hence it is not a function.

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Answer:

the radius is 1

Step-by-step explanation:

Answer:

-1/2

Step-by-step explanation:

We know

The dilation of K(-2,4) equals K'(1,-2)

To get from -2 to 1, we time -1/2

To get from 4 to -2, we time -1/2

So, the scale factor used for the dilation is -1/2

Answer:40

140/7=20

20x2=40

40 is the same as two-sevenths of 140

Answer:

  x = -1 (multiplicity 2)

Step-by-step explanation:

Given the cubic f(x) = x³ -x² -5x -3 has x=3 as a root, you want the other roots.

You can find the quadratic factor of the polynomial using synthetic division. That tells you ...

  f(x) = (x -3)(x² +2x +1)

You recognize the quadratic factor as the perfect square trinomial ...

  x² +2x +1 = (x +1)²

The remaining roots will be the values of x that make these factors zero:

  x +1 = 0   ⇒   x = -1 . . . . . and the other is the same: multiplicity 2

The remaining roots are x=-1 and x=-1.

__

Additional comment

We find a graphing calculator to be a quick and easy way to find the real roots of higher-degree polynomials. They are shown in the second attachment.

Answer:

96 because 60 plus 36 equals 96 and value means add but if your multiplying the answer would be 2160

Step-by-step explanation:

The variable y is directly proportional to x, which is the definition of direct variation.

The intersection of two perpendicular lines, the x-axis and the y-axis, results in a 2D plane known as a coordinate plane. In geometry, a coordinate system is a method for calculating the positions of the points using one or more integers or coordinates.

The graph that represents a function with direct variation is a coordinate plane with a line passing through (0, 0) and some other point that is not the origin.

Out of the given options, the graph that represents a function with direct variation is the coordinate plane with a line passing through (negative 4, 0) and (0, negative 2).

This is because the equation of this line can be written in the form y = mx, where m is the slope of the line. In this case, the slope is:

m = (0 - (-2)) / (-4 - 0) = 1/2

So the equation of the line is y = (1/2)x - 2, which is in the form of y = kx, where k = 1/2. This means that y is directly proportional to x, which is the definition of direct variation.

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The total cost to paint the room is, $102.375.

We know the perimeter of any 2D figure is the sum of the lengths of all the sides except the circle and the area of a rectangle is the product of its length and width.

Given, A room that is 18 feet long, 14 feet wide, and 8 feet high.

Therefore, The surface area of the room is,

= 18×14×8 aq feet.

= 2016 sq feet.

Now, Paint costs $6.50 a gallon and each gallon covers 128 square feet.

Therefore, The number of gallons of paint required is,

= (2016/128) gallons.

= 15.75 gallons.

So, The total cost of painting is,

= $15.75×6.50.

= $102.375.

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The set {A, B, C} is a subset of the set of letters of the alphabet.

A subset is a set that contains only elements that are also in another set, called the superset. In other words, all of the elements in the subset are also contained in the superset.

For example, suppose we have a superset S = {1, 2, 3, 4, 5}. Then, the following sets are subsets of S:

{1, 2, 3}, {2, 4, 5}, {1}, and {} etc.

Here we have

{A, B, C} a subset  

As we know, the set of the alphabet = { A, B, C, D,...  Z }  

which also includes the elements A, B, and C

Hence,

The set {A, B, C} is a subset of the set of letters of the alphabet.

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The total surface area of the prism is equal to 74 m².

In Mathematics, the total surface area of a triangular prism can be calculated by using this mathematical expression:

Total surface area of triangular prism = (Perimeter of the base × Length of the prism) + (2 × Base area)

Total surface area of triangular prism = (S₁ + S₂ + S₃)L + bh

where:

By substituting the given parameters, we have:

Total surface area of triangular prism = 4 + (5 × 4)3.5

Total surface area of triangular prism = 4 + (20)3.5

Total surface area of triangular prism = 74 m².

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Answer: The correct answer is yes, he brought enough money to get into the park.

Step-by-step explanation:

Well, let's analyze the information provided:

Admission to the amusement park for 8 students is $ 100. If each student agreed to share of cost equally, it means that we must divide those 100, for each of those students.

Therefore it will remain 100/8 = 12.5

If each student must pay 12.5, and Noah brought $ 13, that means he will have enough money to enter the park, and he will even have $ 0.50 left over.

The true statement is the median age of the attendees in the yoga class is greater than the median age of the attendees in the dance class. (option A).

Median is the number that occurs in the middle of a set of numbers that are arranged either in ascending or descending order.

Ages of Yoga students arranged in ascending order: 18, 17, 20, 31, 33, 36, 44

Median = 31

Ages of Dance students arranged in ascending order: 20, 23, 26, 30, 38, 42, 47

Median = 30

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a) The family's best deal is with Smokey's BBG which charges $780 for 60 guests.

b) Choosing Smokey's BBG over Bennie's BBQ will save (difference) the family $40.

The total cost for each company's catering services is worked out using their cost functions.

Smokey's BBG does not charge a fixed cost, unlike Bennie's BBG.

The difference between the total costs of the companies is obtained by subtraction.

The number of guests = 60

                                  Smokey's BBQ       Bennie's BBQ

Catering Fees                       $0                        $100

Charge per person              $13                          $12

The total charge for 60    $780 ($13 x 60)     $820 ($100 + $12 x 60)

Difference between the charges = $40 ($820 - $780)

However, using a system of equations we can determine the number of guests that makes the total cost the same for each company as 100.

Thus, comparing the total costs for the two companies shows the difference or cost savings to be gained by the family.

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Smokey's BBQ charges $13 per person while Bennie's BBG charges a $100 catering fee and $12 per person.

The two numbers that multiply to 375 and add to -10 are -25 and 15.

To find two numbers that multiply to 375 but add to -10, we can use a system of equations.

Let's call the two numbers we're looking for x and y. Then we have:

xy = 375 (since they multiply to 375)

x + y = -10 (since they add to -10)

We can use the second equation to solve for one variable in terms of the other. For example, if we solve for y, we get:

y = -x - 10

Now we can substitute this expression for y into the first equation:

x(-x - 10) = 375

Expanding the left side gives:

-x^2 - 10x = 375

Bringing everything to one side gives:

x^2 + 10x - 375 = 0

We can factor this quadratic equation as:

(x + 25)(x - 15) = 0

This gives us two possible values for x: x = -25 or x = 15.

If x = -25, then y = -10 - (-25) = 15.

If x = 15, then y = -10 - 15 = -25.

So, The two numbers that multiply to 375 and add to -10 are -25 and 15.

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The eighth term of 4000, 800, 160, 32... will be 0.0512.

What is geometric progression?

A geometric progression is also known as the geometric sequence which is a sequence of numbers where each term after the first is found by multiplying the previous one by a fixed, non-zero number called the common ratio.

We are given, 4000, 800, 160, 32, ....

a is the first term = 4000

The terms are in reducing order of 1/5 at each stage.

So, 5th term = 32/5 = 6.4

6th term =   6.4/5 = 1.28

7th term =  1.28/5 = 0.256

And 8th term = 0.256/5 = 0.0512

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Answer: 24

Step-by-step explanation: 6*4=24
i did 6*4 because there are 4 fourths in each pound

d ≥ 4, The family must travel at least four days.

Inequalities are mathematical formulas in which neither side is equal. Unlike equations, we compare two values in inequality. In between, the equal sign is replaced by less than (or less than or equal to), more than (or greater than or equal to), or not.

Given:

The family drives 350 miles per day.

they need to travel at least 1400 miles

let the number of day taken to travel 1400 miles.

So, the Inequality of the Situation as

350d ≥ 1400

d≥ 1400/350

d≥ 140/ 35

d ≥ 4

So, the family must travel at least four days.

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The total area of the rectangle with the provided figures will be equal to 280 inches.

Note that the area of a rectangle is length * width.

So, given this formula:

The  area of the smallest rectangle will be: 4 * 7 = 28

The area of the next rectangle will be: (4 + 2) * (7 + 2)

= 6 * 9

= 54

The area of the next rectangle will be: (6 + 2) * (9 + 2)

= 8 * 11

= 88

The area of the fourth and largest rectangle will be: (8 + 2) * (11 + 2)

10 * 11

= 110

The total area of the angles will be: 28 + 54 + 88 + 110

= 280.

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The required solutions of the equation |3x| = 9 are x = 3 and x = -3.

Simplification involves applying rules of arithmetic and algebra to remove unnecessary terms, factors, or operations from an expression. The goal is to obtain an expression that is easier to work with, manipulate, or solve.

Here,

We can solve the given equation by isolating the absolute value on one side and simplifying it.

|3x| = 9
| x | = 3

Now, we need to solve two separate equations for x:

When x is positive:
|x| = 3
=> x = 3 (since x is positive)

When x is negative:
|x| = 3
-x = 3 (since x is negative)
x = -3

Therefore, the solutions of the equation |3x| = 9 are x = 3 and x = -3.

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The blanks when completes are:

The value of 6x - x² increases from 0 at x = 0 to 9 at x = 3, then decrease back at x = 6. Also, the values are 0 for x = 0...

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

The table of values

From the table of values, we can see that

This means that the values that complete the blanks are increase, decrease and 0

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The equation of a rational function that has been translated left 2 units and shifted up 1 unit is; f(x) = (a(x - 2) + b + 1) / (c(x - 2) + d)

A relation is defined as a function in the event that it possesses only One y-value with a corresponding x-value.

A general form of how a rational function is represented is:

f(x) = (ax + b) / (cx + d)

To translate this function left 2 units, we need to replace x with x + 2. This gives us:

f(x + 2) = (a(x + 2) + b) / (c(x + 2) + d)

To shift this function up 1 unit, we need to add 1 to the numerator. This gives us:

f(x + 2) = (a(x + 2) + b + 1) / (c(x + 2) + d)

Therefore, the equation of a rational function that has been translated left 2 units and shifted up 1 unit is: f(x) = (a(x - 2) + b + 1) / (c(x - 2) + d)

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Answer:

alot

Step-by-step explanation:

Answer:

One solution, x = -10

Step-by-step explanation:

16 (3x − 6) = 18 (4x + 8)

48x - 96 = 72x + 144

-24x = 240

x = - 10

Because of the common difference of 5, this series is math because it has a common difference of 5.

An arithmetic series is one in which each term grows by adding or removing a certain number, k. In a geometric series, each term grows by dividing by or increasing by a certain constant k. For instance, a1 = 25 and a(n) Equals a(n-1) Plus 5.

This is a list of numbers.

Each term in an arithmetic series is created by adding a fixed difference to the term before it. The distance between successive words in this order is 5:

10 - 5 = 5

15 - 10 = 5

20 - 15 = 5

25 - 20 = 5

Therefore, this sequence has a common difference of 5, which means it is an arithmetic sequence.

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