This problem refers to right triangle ABC with C = 90°. Solve for all the missing parts using the given information. (Round your answers to three decimal places. )
A = 9° 36', b = 5. 812 cm

Each of the triangles can be proved congruent based on the following postulates;

In Mathematics and Geometry, two triangles are said to be similar when the ratio of their corresponding side lengths are equal and their corresponding angles are congruent.

Furthermore, the lengths of three (3) pairs of corresponding sides or corresponding side lengths are proportional to the lengths of corresponding altitudes when two (2) triangles are similar.

Based on the congruence similarity theorem listed above, we can logically deduce that the triangles are both congruent.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Paulina is most likely assessing "Test-retest reliability", while Montrose is most likely assessing "Parallel forms reliability."

The consistency with which a method attempts to measure something is indicated by its reliability. The same method applied to the same sample in the same conditions should yield the same results. If not, the measurement method may be unreliable.

Some key points related to the reliability are-

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Answer:

Answe is D

Step-by-step explanation:

The zero doesn't mean any sense when it comes to decimal..

Answer:

i think its D

Step-by-step explanation:

27.42000 > 27.42000 is wrong because they're equal.

correct answer:

27.42000 = 27.42000

hope this helps!

Answer:

\(\frac{3}{7}\)

Step-by-step explanation:

Start by finding how many integers there are from 10-30...

30-10+1=20+1=21

Note we have to add 1 since it is inclusive.

Now, let's find how many multiples of 4 or 5 there are from 10-30...

4*3=12

4*4=16

4*5=20

4*6=24

4*7=28

5*2=10

5*3=15

5*4=20

5*5=25

5*6=30

5+5-1=9

Note we have to subtract 1 since 20 is counted twice.

The probability would be...

\(\frac{Multiples\ of\ four\ and\ five\ from\ 10-30}{Amount\ of\ integers\ between\ 10-30}=\frac{9}{21}=\frac{3}{7}\)

Answer:

29. See table below

30. See attached graph

31. The slope is m= 0.10

The slope represent the cost for every additional call minute.

Step-by-step explanation:

The cost is $0.5  first minute and $0.10 for any additional minutes

If c is the total cost of a call that last t minutes then;

c= 0.10t + 0.5-----where t is the time the call lasted

29. Use the equation above to create the table as;

t {x}            c{y}

1                  0.6

2                 0.7

3                 0.8

4                 0.9

5                 1.0

6                 1.1

The graph of this plot is as attached , where the coordinates are

{1,0.6} , {2,0.7} ,{3,0.8} ,{4,0.9} ,{5,1.0}, {6,1.1}

The slope can be found using the formula;

m=Δy/Δx

m= 1.1 - 0.6 / 6-1

m= 0.5 / 5 = 0.10

The slope represent the cost for every additional call minute.

When arranging indistinguishable objects in such a way that no two objects are in the same row or column, the number of possible arrangements depends on the dimensions of the grid.

The number of ways to arrange indistinguishable objects without any repetitions in a grid, such that no two objects are in the same row or column, depends on the dimensions of the grid. Let's assume the grid has M rows and N columns. In this case, the number of possible arrangements can be determined using combinatorics.

To find the total number of arrangements, we start with the first column. There are M choices for the first object in this column. Moving to the second column, there are M-1 choices since we need to avoid repetition within the same row. Continuing this process, the number of choices decreases by 1 for each subsequent column.

Therefore, the total number of arrangements can be calculated as M x (M-1) x (M-2) x ... x (M-N+1), where N is the number of columns. This can be further simplified as M! / (M-N)!, where "!" represents the factorial operation.

In conclusion, when arranging indistinguishable objects in a grid such that no two objects are in the same row or column, the number of possible arrangements depends on the dimensions of the grid. By applying combinatorial principles, the total number of arrangements can be calculated using the formula M! / (M-N)!.

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A formula for calculating the area of a triangle is A=1/2(b*h), where b is the length of the base and h is the height  of or length of the altitude, of the triangle.

Identify the base and sketch in the height on each type of triangle.

right triangle - One of the sides that touches the 90-degree angle constitutes the foundation of a right triangle.

The height of a triangle is measured from its base to its highest point, and in a right triangle, that height can be determined from the side that forms a right angle to the base.

acute triangle - Three sides and three vertices make up the fundamental polygon known as the triangle. It has three sides, which results in three interior angles. An acute angle is one that is between 0° and 90° in length. When all three of the triangle's internal angles are acute, the triangle is said to be acute.

obtuse triangle - In an obtuse triangle, the height or altitude from the acute angles is outside the triangle. To find the height of the obtuse triangle, we extend the base as illustrated.

what is a triangle?

Three edges and three vertices make up a triangle, which is a polygon. It is among the fundamental shapes in geometry. Triangle ABC refers to a triangle with vertices A, B, and C. In Euclidean geometry, any three points that are not collinear identify a distinct triangle and a distinct plane at the same time.

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1824 drove a car

2256 take a bus

672 ride the subway

48 ride a bicycle

Answer:

7 - 2m can be translated to "7 minus two times m" or "the difference between 7 and twice m".

3(m + 2) = 15 can be translated to "three times the sum of m and 2 is equal to 15" or "the product of 3 and the sum of m and 2 is 15".

To solve the equation, we can start by distributing the 3 on the left side:

3(m + 2) = 15

3m + 6 = 15

Then, we can subtract 6 from both sides:

3m + 6 - 6 = 15 - 6

3m = 9

Finally, we can divide both sides by 3:

3m/3 = 9/3

m = 3

Therefore, the solution to the equation 3(m + 2) = 15 is m = 3.

5m - m(2 - m) can be translated to "5m minus the product of m and the difference between 2 and m" or "the difference between 5m and m times the quantity 2 minus m".

To simplify the expression, we can use the distributive property to expand the second term:

5m - m(2 - m) = 5m - 2m + m^2 = m^2 + 3m

Therefore, the simplified expression is m^2 + 3m.

Transformation involves changing the position of a shape

The transformations performed are (c) translation, rotation

From the question, we understand that she shifts the triangle, and then spins it

Shifting implies translation, while spinning implies rotation

Hence, the transformations performed are (c) translation, rotation

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Answer:

The answer is D I think :)))

Answer: The width of each flag = 12 cm

The average amount of time it takes Sandra to make each flag =  20 minutes.

Step-by-step explanation:

Given: The ratio of the length to the width the official german flag is 5:3.

Let length = 5x, width = 3x

Length of each flag = 20 cm

i.e. \(5x=20\Rightarrow\ x=\dfrac{20}{5}=4\text{ cm}\)

Then width of each flag = 3 x 4 = 12 cm

i.e. width of each flag = 12 cm

Total time to make 12 flags = 4 hours

Time taken to make 1 flag = \(\dfrac{4}{12}\) hour

Time taken to make 1 flag = \(\dfrac{1}{3}\) hour

1 hour = 60 minutes

Time taken to make 1 flag = \(\dfrac{1}{3}\times60\) minutes = 20 minutes.

Hence, the average amount of time it takes Sandra to make each flag =  20 minutes.

The statement "the two main methods used in inferential statistics is estimation and hypothesis testing." is True.

The two main methods used in inferential statistics are estimation and hypothesis testing.

Estimation involves using sample data to estimate the value of an unknown population parameter, such as the mean or standard deviation. The goal of estimation is to make inferences about a population based on a sample of data.

Hypothesis testing is a method used to make decisions about population parameters based on sample data. The goal of hypothesis testing is to determine whether a hypothesis about a population parameter is supported by the sample data, or whether there is enough evidence to reject the hypothesis.

In hypothesis testing, a null hypothesis is tested against an alternative hypothesis using a set of statistical tests and criteria. Both estimation and hypothesis testing play a crucial role in inferential statistics and are widely used in many fields, such as economics, psychology, biology, and others.

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The correct statement is: A. P(E) = 0.3. The probability of event E, denoted as P(E), is equal to 0.3.

To determine the correct answer, let's analyze the given information.

We know that events D and E are independent, which means that the occurrence of one event does not affect the probability of the other event happening.

Given:

P(D) = 0.6

P(D and E) = 0.18

Since events D and E are independent, the probability of both events occurring (P(D and E)) can be calculated as the product of their individual probabilities:

P(D and E) = P(D) * P(E)

Substituting the given values:

0.18 = 0.6 * P(E)

To find the value of P(E), we can rearrange the equation:

P(E) = 0.18 / 0.6

P(E) = 0.3

Therefore, the correct answer is A. P(E) = 0.3.

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Answer:

-300

Step-by-step explanation:

Step 1:  Find the amount Elmer's funds decreased after purchasing the rabbits:

Let x represent Elmer's funds.

Since Elmer bought five rabbits for $10 each, he lost $10 5 times.

x - (10 * 5)

x - 50

Thus, Elmer lost (spent) $50 for the 5 rabbits.

Step 2:  Find the amount Elmer's funds decreased after purchasing the  cupboards:

Since Elmer bought four cupboards for $70 each, he lost $70 4 times:

x - (50 + (70 * 4))

x - (50 + 280)

x - 330

Thus, after purchasing the rabbits and cupboards, Elmer lost $330.

Step 3:  Find the amount Elmer's funds increased after finding the twenty-dollar bill:

Since Elmer found a twenty-dollar bill, he gained $20

x - (330 + 20)

x - 310

Step 4:  Find the amount Elmer's funds increased after returning one rabbit:

Since Elmer returned one rabbit, he gained $10:

x - (310 + 10)

x - 300

Thus, Elmer's funds changed totally by -$300.

Putting all the information together, we have:

x - 10 - 10 - 10 - 10 - 10 - 70 - 70 - 70 - 70 + 20 + 10

x - 50 - 280 + 30

x - 330 + 30

x - $300

A square piece of cardboard with side length of 34 inches is needed to make the box.

Let the side of the square piece of cardboard be x inches.

After cutting out 7 inch squares from each corner, the dimensions of the base of the box will be (x-14) inches by (x-14) inches, and the height of the box will be 7 inches.

The volume of the box can be expressed as:

V = (x-14\()^2\)\(\times\)7

We know that the box is to hold 2800 in3, so we can set up an equation:

(x-14\()^2\)\(\times\) 7 = 2800

Simplifying and solving for x, we get:

(x-14\()^2\) = 400

x-14 = ±20

x = 34 or x = 6

Since the cardboard cannot have a side length of less than 7+7=14 inches, the only valid solution is x=34 inches.

Therefore, a square piece of cardboard with side length of 34 inches is needed to make the box.

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Rounding is a way of approximating a number to a specified number of digits. Rounding is used to make it easier to work with figures. The following are the ways to round off numbers:

To round off a decimal number, we must first determine which digit we need to round. The number to the right of that digit is examined to see if it is greater than or equal to 5. If that is the case, the digit being rounded is increased by one. If it is less than 5, the digit being rounded is not changed.

The following are the solutions to the problems provided above:

Round 1.644853626 to the nearest 6th decimal digit: 1.644854

Round 1.644853626 DOWN to 8 decimal places: 1.64485362

Round 1.644853626 UP to 2 decimal places: 1.64

Round 1.959963986 to the nearest 4th decimal digit: 1.9599

Round 1.959963986 DOWN to 4 decimal places: 1.9599

Round 1.959963986 UP to 5 decimal places: 1.95996

Round −2.575829303 to the nearest 8th decimal digit: -2.5758293

Round −2.575829303 DOWN to 5 decimal places: -2.57583

Round −2.575829303 UP to 7 decimal places: -2.5758293

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Answer:

2.5 or 0.4

Step-by-step explanation:

Because if you do

10 divided by 4 then it would be 2.5

4 divided by 10 then it would be 0.4

So it could be either one.

Answer:

t=36°

Step-by-step explanation:

90-54=36

opposite angles are equal so t=36°

Component 3 must be started on day 197 to meet the delivery date of day 200.

To illustrate the backward schedule, we need to start from the delivery date (day 200) and work our way backward, taking into account the lead times and dependencies of each operation.

(a) Backward schedule:

Operation    |  Work Center  |  Time (hours)  |  Start Day

--------------------------------------------------------

Final Assembly |   Work Center 1  |        1       |     200

Sub-assembly 1 |   Work Center 2  |        2       |     199

Component 4     |   Work Center 3  |        3       |     197

Component 2     |   Work Center 4  |        4       |     196

Component 3     |   Work Center 5  |        3       |     ????

(b) To identify when component 3 must be started to meet the delivery date, we need to consider its dependencies and lead times.

From the backward schedule, we see that component 3 is required for sub-assembly 1, which is scheduled to start on day 199. The time required for sub-assembly 1 is 2 hours, which means it should be completed by the end of day 199.

Since component 3 is needed for sub-assembly 1, we can conclude that component 3 must be started at least 2 hours before the start of sub-assembly 1. Therefore, component 3 should be started on day 199 - 2 = 197 to ensure it is completed and ready for sub-assembly 1.

Hence, component 3 must be started on day 197 to meet the delivery date of day 200.

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Answer:A perfect square is a number which is generated by multiplying two equal integers by each other. For example, number 9 is a perfect square because it can be expressed as a product two equal integers being: 9 = 3 x 3.

Step-by-step explanation:

The solution to the system of equations y = 1.5x - 4 and y = -x  is (1.6,-1.6)

The equations are given as: y = 1.5x - 4 & y = -x

The system of linear equations is the 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. Thus, we can write linear equations with n number of variables

Substitute y = -x in the first equation

-x = 1.5x - 4

Collect like terms

-1.5x - x = -4

Any set of values of x1, x2, x2,…xn which simultaneously satisfies the system of linear equations given above is called a solution of the system. If the system of equations has one or more solutions, the equations are called consistent. Also, if the system of equations does not admit any solution, then the equations are called inconsistent.

This gives

-2.5x = -4

Divide both sides by -2.5

x = 1.6

Substitute x = 1.6 in y = -x

y = -1.6

Hence, the solution to the system of equations is (1.6,-1.6).

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The final factorized form of the expression (a - b) (x²-7) - (a - b) (4x + 5) is:(a - b) (x - 6) (x + 2)

Given expression is (a - b) (x²-7) - (a - b) (4x + 5).Here, (a - b) is a common factor in the given expression. We can factor out (a - b) as follows:(a - b) (x²-7) - (a - b) (4x + 5) = (a - b) [(x² - 7) - (4x + 5)] = (a - b) (x² - 4x - 12)Next, we can further factorize the expression x² - 4x - 12 as follows:x² - 4x - 12 = (x - 6) (x + 2)

Therefore, the final factorized form of the expression (a - b) (x²-7) - (a - b) (4x + 5) is:(a - b) (x - 6) (x + 2) - this is the answer.

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Answer:8

Step-by-step explanation:

Answer:

(x + 2)² + (y - 1)² = 25

General Formulas and Concepts:

Algebra I

Pre-Calc

Circle Center Formula: (x - h)² + (y - k)² = r²

Step-by-step explanation:

Step 1: Define

Identify variables

(h, k) = (-2, 1)

r = 5

Step 2: Find Equation

Topic: Pre-Calculus

Unit: Conics

Book: Pre-Calculus (McGraw Hill)

The total surface area of the triangular prism is 3 in².

A prism is a solid form that is enclosed by plane faces on all of its sides. A prism has two different kinds of faces. Bases refer to the identical top and bottom faces. The name "prism" refers to the form of these bases. For instance, a prism is referred to be a triangular prism if its base is triangular. The faces of a prism that are not the top and bottom are referred to as its lateral faces.

The class of parallelograms also includes all the lateral faces, all of which are identical to one another. Due to the parallel alignment of their opposite sides, all of the lateral faces can be either parallelograms, rectangles, or even squares. A cuboid is among the most prevalent examples of a prism. It is known as a rectangular prism and has a rectangular basis.

Given,

Lateral area = 2/6th of 2 square inches

                                  = \(\frac{2}{6 } \times 2\)

                                  = \(\frac{4}{6}\)

                                  = \(\frac{2}{3}\)

There are 3 Lateral area , therefore

= \(\frac{2}{3} \times 3\)

= \(\frac{6}{3}\)

= 2 in²

Then, surface area is 1/4th of 2 square inches, i.e.

= \(\frac{1}{4 } \times 2\)

= \(\frac{2}{4 }\)

= \(\frac{1}{2}\)

There are 2 surface area, therefore

= \(\frac{1}{2} \times 2\)

= \(\frac{2}{2}\)

= 1 in²

Adding later area and surface area we will have total surface area,

2 in² + 1 in²

= 3 in²

Thus, The total surface area of the triangular prism is 3 in².

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Question:

The lateral area of the triangular prism is 2/6th of 2 square inches and the surface area is 1/4th of 2 square inches. What is the total surface area?

Answer:

The second one the amount of monthly sales

Step-by-step explanation:

The 2000 is the total

Answer:

X=28

Step-by-step explanation: