ABC is similar to APQ. Find x and y.

Answer:

d=45t

Step-by-step explanation:

to find speed you divide the distance by the time. 67.5/1 1/2 = 45

Answer:d=45t

Step-by-step explanation:

I took the i-Ready

a) The Total area of figure is 128.5 in²

b) Total area of the figure is 36.54 m

A triangle is a three-sided, triangular geometric shape. The sum of the angles in a triangle is always 180 degrees.

a). Two rectangles are present,

Area of Rectangle 1 = 12 in × 8 in = 96 in²

Area of Rectangle 2 = 6.5 in × 5 in = 32.5 in²

Total area of figure = 96 + 32.5 = 128.5 in²

b). One triangle and one rectangle are present.

Area of Rectangle = 7.8 m × 4.2 m = 32.76 m²

Area of triangle = 1/2 × base × height

Area of triangle = 1/2 × 4.2m × 1.8 m = 3.78 m²

Total area of the (figure (b) = Area of Rectangle + Area of triangle

Total area of the figure = 32.76 m² + 3.78 m²

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Answer:

  (c) It has exactly four faces that are triangles

  (d) It has 4 vertices

  (f) It has 6 edges

Step-by-step explanation:

You want to identify 3 true statements about a triangular pyramid.

An image of a triangular pyramid is attached.

The base is one triangular face. Each of its three edges is the base of a lateral triangular face, so there are a total of 1+3 = 4 triangular faces.

The base triangle has 3 vertices. The lateral triangular faces meet at another vertex, for a total of 3+1 = 4 vertices.

The base triangle has 3 edges. Each of the 3 base vertices joins the fourth vertex with an additional edge, for a total of 3+3 = 6 edges.

A triangular pyramid has 4 faces, 4 vertices and 6 edges.

Damien has more than enough juice to fulfill his requirement of 5 pints. The statement that is true is that Damien has bought more than the required amount of juice in pints.

If Damien needs to find 5 pints of juice, he can buy 3 quarts of juice. One quart contains 2 pints, so 3 quarts would contain 6 pints.  He has bought a total of 6 pints, which is 1 pint more than what he needed.

This means that Damien can use the extra pint of juice for other purposes or store it for later use. It is important to note that when converting measurements,

it is crucial to understand the equivalent values to avoid over or underbuying. In this case, knowing that 1 quart contains 2 pints helped Damien make an informed decision while shopping.

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To bring the 2,000 kg wagon to rest, the buffer stop needs enough springs to absorb its kinetic energy. The number of springs and their stiffness can be calculated using given parameters and formulas.



To calculate the number of springs required in the buffer stop, we need to find the energy of motion that needs to be absorbed. The kinetic energy (KE) of the wagon is given by KE = (1/2)mv^2, where m is the mass (2,000 kg) and v is the velocity (0.69 m/s). The KE is 477.9 J.Next, we calculate the potential energy stored in the compressed springs. The compression distance is 15 cm, which is 0.15 m. The potential energy (PE) stored in each spring is given by PE = (1/2)kx^2, where k is the stiffness of the spring and x is the compression distance.

The total energy absorbed by all the springs is equal to the kinetic energy of the wagon. Therefore, the number of springs required is given by N = KE / PE, where N is the number of springs.To determine the stiffness of the spring, we use the formula k = (Gd^4) / (8nD^3), where G is the shear modulus (0.8 x 10^5 N/mm^2), d is the wire diameter (2 cm), n is the number of coils (15), and D is the mean diameter of the coils (20 cm).

By substituting the values into the equations, we can find the number of springs and the stiffness of each spring.

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The function rule that represents the total number of y miles a truck will have on the odometer after x weeks y = 5x + 3

A truck has 3 miles on its odometer

accumulates an average of 5 more each week

This represents a linear function that can be modeled follows

A linear function consists of functions where the variables has exponents of 1. The graph of linear functions is a straight line graph and the relationship is expressed in the form.

y = 5x + 3

Definition of variables to suit the problem to be solved

y = Total mileage covered = the output

5 = mileage covered per week = slope of the line

x = number of weeks = the input variable

3 = mileage already the odometer = the y intercept

The equation is represented as

y = mx + c

y = 5x + 3

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Answer:

$250+$2(x) = Total amount paid

Step-by-step explanation:

$250 is the initial amount. They earn $2 per person. The $250 is a flat amount that doesn't change. $2 is paid per person, so you multiply $2 by the amount of tickets sold.

$250 + $2(x) = Total amount paid

The average value fave of the function f(x) = x on the interval [0, 16] is 8. This means that if we were to draw the graph of f(x) on this interval, the line y = 8 would be the horizontal line .

To find the average value fave of the function f on the given interval [0, 16], we need to use the formula:

fave = (1/(b-a)) * ∫(a to b) f(x) dx

Here, a = 0 and b = 16, and f(x) = x. So, we have:

fave = (1/(16-0)) * ∫(0 to 16) x dx

= (1/16) * [x^2/2] (from 0 to 16)

= (1/16) * [(16^2)/2 - (0^2)/2]

= (1/16) * [128]

= 8

Therefore, the average value fave of the function f(x) = x on the interval [0, 16] is 8. This means that if we were to draw the graph of f(x) on this interval, the line y = 8 would be the horizontal line that divides the area above the graph from the area below the graph into two equal parts.

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# output: hello1 hello22 hello333print(increasing_blocks(5, "world")) # output: world1 world22 world333 world4444 world55555``` for codehs in case of blocks

To find the answer to 18.4

Increasing Blocks on CodeHS, follow these steps:First, read and understand the problem statement and make sure you have all the information needed.18.4 Increasing Blocks on CodeHS is a problem from CodeHS programming course in which you are asked to program a function that takes in an integer and a string and returns a string. The returned string should have the following block pattern for codehs:

**bbb1bbb22bbb333...bbbnnn** where **bbb** represents the string input and **nnn** represents the increasing number of blocks depending on the input integer.For example, if the input integer is 3 and the string is "hello", the returned string should be "hello1hello22hello333".

Now, you can write your solution to the problem. Here's one way to solve this problem:```pythondef increasing_blocks(n, s): res = ""for i in range(1, n+1): res += (s*i) + str(i)if i != n: res += " "return res```The `increasing_blocks()` function takes in two parameters, an integer `n` and a string `s`. It returns a string `res` that satisfies the block pattern condition as described in the problem statement.The function works by iterating over the range of integers from 1 to `n+1` using a `for` loop.

At each iteration, the function concatenates the input string `s` repeated by the current integer `i` and appends the string representation of the integer `i`. Finally, the function adds a space character between each block except for the last block that doesn't have a space.

You can test the function by calling it with different input values:```pythonprint(increasing_blocks(3, "hello")) # output: hello1 hello22 hello333print(increasing_blocks(5, "world")) # output: world1 world22 world333 world4444 world55555```

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Answer:

The base is 12.5 cm.​

Explanation:

From the diagram, the perpendicular height of the triangle = 32cm

Area = 400 square cm.

Substitute the given values into the formula:

The base is 12.5 cm.​

Aaron is 4 years and Maria is 14 years old.

A = Aaron's age today

M = Maria's age today.

a. The equation based on the statement given will be:

M = A + 10

b. Maria's age based on the statement in 6 years will be:

= (A + 10) + 6

= A + 16

c. Based on the information above, the equation to solve their ages will be:

A + 16 = 2(A + 6)

A + 16 = 2A + 12

Collect like terms

2A - A = 16 - 12

A = 4

Therefore, Aaron is 4 and Maria is 14 years.

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Answer:

Step-by-step explanation:

The solution of each question is self-explanatory.

Used properties

Answer:

38°; 142°; 308°

Step-by-step explanation:

belive me

The percentage of shaded square is 45%

Percentage is a way of expressing a proportion or a fraction as a portion of 100. It is often denoted by the symbol "%". Percentages are commonly used to represent parts of a whole or to compare quantities.

Percentages are used in various contexts, such as calculating discounts, expressing proportions, analyzing data, presenting statistics, and comparing values. They provide a convenient way to understand and communicate relative quantities or ratios.

In this case, we can find the percentage of shaded squares by;

1. count the total number of square boxes present

Total number of square boxes present = 80

2. Count the number of shaded squares

The number of shaded squares = 36

The percentage of shaded squares = (36 / 80) * 100 = (9/20) * 100 = 45%

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Answer:

170.52 in

Step-by-step explanation:

Answer:

19.3%

Step-by-step explanation:

There were 10% * 60 = 6 more boys, and 25% * 100 = 25 more girls, so in total 31 more students got on the honor roll. From 160 to 191, the percentage is 31/160 = 0.19375  

0.19375 = 19.3%

Answer:

i think it would be 2 because its in the middle of the slope and it would make scence

Step-by-step explanation:

Answer:

A. g(x) = (2x)²

Step-by-step explanation:

From the diagram of the two functions graph f(x) is the parent function and g(x) is the transformed function. you can see that the graph of g(x) is stretched vertically compared to the graph of g(x). The Parent function has y =1 corresponding to x =1 while for the transformed function when x = 1, y = 4 the graph is vertically stretched by a factor of 4, and horizontally The Parent function has y =1 corresponding to x =1. while for the transformed function when x = 0.5, y = 1, it is stretched  horizontally by 2 (√4), i.e

This means that g(x) = 4x² = (2x)²

Answer:

Please refer to the attachment

Hope it helps

Please mark me as the brainliest

Thank you

After answering the given query, we can state that the function slope changes at a rate of 3 between x=5 and x=8.

The inclination of a line determines how sharp it is. A gradient gradient is gradient overflow is an algebraic formula for the gradient. The vertical change (run) between two spots is divided by the height change (rise) between the same two locations to determine the slope.

The equation for a straight line, written as y = mx plus b, is represented using the curve form of a formula. The slope is m, b is b, and the line's y-intercept is located at these points. (0, b). As an example, consider the y-intercept and slope of the equation y = 3x - 7. (0, 7). The y-intercept is situated where the inclination of the path is m, b is b, and (0, b).

the coordinates (5, 2) and (8, 11) to determine the function's rate of change. We'll apply the slope formula:

slope equals (y2 + y1)/. (x2 - x1)

Inserting the values:

slope = (11 - 2) / (8 - 5)

slope = 9 / 3

slope = 3

Consequently, the function changes at a rate of 3 between x=5 and x=8.

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Complete Question:

Find the rate of change of the function by using two points from the table. Write in the simplest form.

x 2, 4, 6, 8

y 5, 8, 11, 14

Answer:

What is the question?! I don't understand, sry?!

Step-by-step explanation:

Answer:

27

Step-by-step explanation:

These shapes are mathematically similar as line BR and QC are parallel.

To find the scale factor:

First we find the length of BD by adding 26 and 39:

26+39 = 65

So to get from BD to BQ :

We multiply by :

26/65 = 0.4

So to get from RD to CD:

We do

18÷0.4 = 45

Then we subtract 18 from 45 to get x:

45-18 = 27

Therefore the value of x is 27

Answer:

Length of new rectangle = (x + 7) inches

Width of new rectangle = (x + 4) inches

Step-by-step explanation:

A rectangle is a quadrilateral that has opposite sides to be parallel and equal. While a square has all its sides to be equal.

Given that: the square has unknown side length x inches.

Increasing one of its length by 4 inches = (x + 4) inches

Increasing the other by 7 inches = (x + 7) inches.

The new lengths results to a rectangle with length (x + 7) inches, and a width of (x + 4) inches.

the label diagram to represent the new rectangle is shown in the diagram attached to this answer.

The standard deviation of the sample proportions (i.e., the standard error of the proportion) is 10.5.

The sample proportion is a random variable that can't be predicted with certainty because it fluctuates from sample to sample.

n = 525

Population Proportion(p) = 0.3

q = 1 - 0.3

q = 0.7

σ = √npq

σ = √(525 × 0.3 × 0.7)

σ = √110.25

σ = 10.5

So The standard deviation of the sample proportions = σ/n

The standard deviation of the sample proportions = 10.5/525

The standard deviation of the sample proportions = 0.02

The standard deviation of the sample proportions = 2%

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The complete question is:

Random samples of size 525 are taken from an infinite population whose population proportion is 0.3. The standard deviation of the sample proportions (i.e., the standard error of the proportion) is

a.0.0004

b.0.2100

c.0.3000

d.0.0200

Goodwill acquired and associated legal fees: In the question, XYZ Ltd acquired 100% of Red-X Ltd on 1 July 2021. For this acquisition, XYZ Ltd paid the shareholders of Red-X Ltd a combination of cash, plant and equipment, and land. There are also legal fees of $249,267 involved in acquiring Red-X Ltd. Red-X Ltd’s statement of financial position shows total assets of $393,579 and liabilities of $393,575 on 1 July 2021.In order to determine whether goodwill has been acquired as a result of the acquisition, we first need to calculate the fair value of the consideration transferred.

The fair value of the consideration transferred is as follows: Cash consideration paid: $91,835Fair value of plant and equipment transferred: $327,983Fair value of land transferred: $393,579Total fair value of the consideration transferred: $813,397As we can see, the fair value of the consideration transferred exceeds the fair value of the net assets acquired ($1,049,544 - $393,575 = $655,969). Therefore, goodwill has been acquired as a result of the acquisition. The amount of goodwill acquired can be calculated as follows:Goodwill = Fair value of the consideration transferred - Fair value of the net assets acquiredGoodwill = $813,397 - $655,969Goodwill = $157,428Therefore, goodwill of $157,428 has been acquired as a result of the acquisition.Regarding the potential for including associated legal fees into the cost of acquiring Red-X, the IFRS 3 Business Combinations standard provides guidance on this matter. According to this standard, the costs of acquiring a business should be included in the cost of the acquisition. These costs include professional fees, such as legal and accounting fees, that are directly attributable to the acquisition. Therefore, the legal fees of $249,267 involved in acquiring Red-X Ltd should be included in the cost of acquiring Red-X Ltd.

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If XYZ Ltd were following ASPE, they could capitalize the legal fees and include them in the cost of acquiring Red-X Ltd and include them in the cost of acquiring Red-X Ltd.

Part 1: Calculation of Goodwill

Goodwill is calculated as the difference between the fair value of consideration paid and fair value of net assets acquired.

Let us calculate the fair value of consideration paid to the shareholders of Red-X Ltd.

Cash 91 835 Plant and equipment fair value $327 983; carrying amount in the books of ABC Ltd $222 912

Land fair value $393 579; carrying amount in the books of ABC Ltd $262 386

Fair value of consideration paid = $91,835 + $327,983 + $393,579 = $813,397

Fair value of net assets acquired = Total assets - Total liabilities

Fair value of net assets acquired = $1,049,544 - $393,575

= $655,969

Goodwill = Fair value of consideration paid - Fair value of net assets acquired

= $813,397 - $655,969

= $157,428

Therefore, the amount of goodwill acquired by XYZ Ltd is $157,428.

Part 2: Accounting Treatment of Legal Fees

According to the International Financial Reporting Standards (IFRS), the legal fees associated with the acquisition of a company are recognized as an expense in the statement of profit or loss and are not included in the cost of the acquisition.

Therefore, XYZ Ltd cannot include the legal fees of $249,267 in the cost of acquiring Red-X Ltd.

However, the Accounting Standards for Private Enterprises (ASPE) allow the capitalization of legal fees incurred during the acquisition process.

These legal fees are included in the cost of the acquisition.

If XYZ Ltd were following ASPE, they could capitalize the legal fees and include them in the cost of acquiring Red-X Ltd.

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a) Equation for length and width of the rectangular rug be \(x^{2}\) + 8x - 42 = 0

b) Width of the rectangular rug be 3.5 feet

c) Diagonal of the rectangle is 12.5 feet

What is the area of the rectangle?

The area of ​​a rectangle is the area occupied by the rectangle within its four sides or boundaries.

The area of ​​a rectangle depends on its sides. Basically, the formula for area is equal to the product of the length and width of a rectangle. The perimeter of a rectangle is equal to the sum of all its four sides

It is given that area of a rectangular rug id 42 square feet. The rug is 8 feet longer than its wide

a) Let the width of the rectangular rug be x feet

Length of the rectangular rug = (x+8) feet

area of rectangular rug = Length × width = x × (x + 8) = \(x^{2}\) + 8x

area of rectangular rug = 42

\(x^{2}\) + 8x = 42

\(x^{2}\) + 8x - 42 = 0

Therefore, equation for length and width of the rectangular rug be \(x^{2}\) + 8x - 42 = 0

b) If the length of the rectangle is 12 feet

Area of rectangle = 42 square feet

length × width = 42 square feet

12 × width = 42 square feet

width = 42/12 = 3.5

Therefore, width of the rectangular rug be 3.5 feet

c) Length of the diagonal of the rectangle = \(\sqrt{length^2+width^2}\)

= \(\sqrt{12^2+3.5^2}=\sqrt{144+12.25}=\sqrt{156.25}= 12.5\)

Therefore, diagonal of the rectangle is 12.5 feet

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Answer:

it will just. e (a/b)^7

Step-by-step explanation:

since its divide, according to the rule of indices, it will just be to the power of 9-2 =7

could you give me brainliest thanks!

Answer:

163.8

Step-by-step explanation: