Quilt squares are cut on the diagonal to form triangular quilt pieces. The hypotenuse of the
resulting triangles is 34 inches long. What is the side length of each piece?
34 √2 inches
17 √3 inches
17 √2 inches
13 inches

In the case of the two lines you described, the y-intercepts are 1 and 2, meaning that the lines cross the y-axis at the points (0,1) and (0,2), respectively.

To find the equations of the lines, you can use the slope-intercept form of a line, which is written as y = mx + b, where m is the slope of the line and b is the y-intercept. Since the lines intersect at the point (1,3), you can use this point and the y-intercept of each line to find the slope of each line.

For the first line, with y-intercept 1, the slope is given by the formula m = (y2 - y1) / (x2 - x1), where (x1,y1) is the given point (1,3) and (x2,y2) is the y-intercept (0,1). Plugging in these values, we get m = (1 - 3) / (0 - 1) = -2. So the equation of this line is y = -2x + 1.

For the second line, with y-intercept 2, the slope is given by the same formula, using the point (1,3) and the y-intercept (0,2). This gives us m = (2 - 3) / (0 - 1) = -1. So the equation of this line is y = -1x + 2.

Therefore, the equations of the two lines are y = -2x + 1 and y = -1x + 2.

TT is equal to T-1, so the given matrix is an orthogonal matrix.

What is an orthogonal matrix?

Here, the determinant of T,

 |T| = cos²∅ + sin²∅

      = 1

Now, its cofactors,

\(T_{11}\) = cos ∅

\(T_{12\) = sin ∅

       \(T_{21\)= -sin ∅

\(T_{22\) = cos ∅

Now, the adjoint matrix of cofactors matrix transpose \(T^T\) is equal to \(T^{-1.\)

Hence, the given matrix is an orthogonal matrix.

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Answer: About 0.1894 of a mile will be driven until you reach the exit 1000 feet if there are 5280 feet in a mile.

Units are used to describe the quantity of an object.

Given the conversion rate:

5280 feet = 1 mile

Next is to convert 1000feet to miles, we can write:

1000feet = x

Divide both expressions to get the value of x

This shows that about 0.1894 of a mile will be driven until you reach the exit 1000 feet

Step-by-step explanation:

Answer:

x=4

Step-by-step explanation:

First find the slope

m = ( y2-y1)/(x2-x1)

   = ( -6-5)/(4-4)

  = -11/0

This means the slope is undefined

Then means it is a vertical line

Vertical lines are in the form

x = constant

The constant in this case is the x value of the points

x=4

The equation actually has 3 solutions, 2 complex and one real.

The real solution is \(3.8797\).

Answer:

45 meters per 30 seconds

Step-by-step explanation:

To figure this question out you first gave to find the unit rate of meters per second by dividing 105 by 70.

105 divided by 70 = 1.5

So Susan can swim 1.5 meters per second.

Then we multiply that amount by 30 to find the number of meters she can swim in 30 seconds.

1.5 x 30 = 45 meters

So, in conclusion, Susan can swim 45 meters per 30 seconds

The measure of side A'B' for the triangle A'B'C' is equal to 4 using a scale factor of 1/2 to dilate it.

Scale factor is the ratio between the scale of a given original object and a new object, which is its representation but of a different size either bigger or smaller.

The dilation if the triangle ABC implies it is bigger than the triangle A'B'C' with a scale factor 1/2 since AC = 10 and A'C' = 5

side A'B' = 8 × 1/2

side A'B' = 4

Therefore, the measure of side A'B' for the triangle A'B'C' is equal to 4 using a scale factor of 1/2 to dilate it.

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Answer:

the answer is B, 4. :)

The probability that more than 38 of the sampled people had their most recent eye examination in the previous year, using the normal distribution approximation, is approximately 0.1922.

To solve this problem, we can use the normal approximation to the binomial distribution. Here are the steps:

1. Identify the relevant information from the question:
  - In the statistical report, it was reported that 42% of Canadians, 12 years of age or older, had their most recent eye examination within the previous year.
  - We have a sample of 100 individuals, 12 years of age or older, selected at random from the Canadian population.

2. Calculate the mean and standard deviation for the binomial distribution:
  - The mean (μ) of a binomial distribution is given by n * p, where n is the sample size and p is the probability of success.
  - In this case, the sample size (n) is 100, and the probability of success (p) is 0.42.
  - So, the mean (μ) is 100 * 0.42 = 42.

  - The standard deviation (σ) of a binomial distribution is given by √(n * p * (1 - p)).
  - Using the same values for n and p, the standard deviation (σ) is √(100 * 0.42 * 0.58) ≈ 4.58.

3. Convert the problem into a standard normal distribution:
  - We want to find the probability that more than 38 of the sampled people had their most recent eye examination in the previous year.
  - To convert this into a standard normal distribution, we need to calculate the z-score.
  - The z-score is given by (x - μ) / σ, where x is the number of successes.
  - In this case, x = 38, μ = 42, and σ ≈ 4.58.
  - So, the z-score is (38 - 42) / 4.58 ≈ -0.87.

4. Find the probability using a standard normal distribution table or calculator:
  - We want to find the probability of having more than 38 successes, which is equivalent to finding the probability to the right of the z-score of -0.87.
  - Using a standard normal distribution table or calculator, we can find that the probability to the right of -0.87 is approximately 0.8078.
  - However, we are interested in the probability of more than 38 successes, so we need to subtract this probability from 1.
  - Therefore, the probability that more than 38 of the sampled people had their most recent eye examination in the previous year is approximately 1 - 0.8078 ≈ 0.1922.

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The correct option would be -4...4.

The expression (randgen.nextInt(9) - 4) uses a random number generator object named randgen to generate a random integer between 0 (inclusive) and 9 (exclusive) using the nextInt() method.

By subtracting 4 from this random integer, we determine the range of possible values for the expression.

Since the original random integer ranges from 0 to 8, subtracting 4 shifts the range to -4 to 4. This means that the possible values for (randgen.nextInt(9) - 4) can be any integer between -4 and 4, inclusive.

In other words, the expression can yield values such as -4, -3, -2, -1, 0, 1, 2, 3, and 4. These values cover a total of nine integers, including both positive and negative numbers.

Therefore, the correct option is -4...4, which represents the range of possible values for the expression (randgen.nextInt(9) - 4).

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B. This quantity might be the optimal order quantity, but we also need to consider the company’s attitude toward risk.

Simulation models are useful tools for predicting the outcomes of different scenarios, but they are not always accurate representations of reality. Running a simulation model several times with different order quantities can give an indication of the order quantity that maximizes the output, but it does not guarantee that this is the optimal order quantity.

There are many factors that can affect the outcome of a simulation model, such as the model's assumptions, limitations, and inputs. Additionally, simulation models are subject to randomness and variability, so the results of different runs may vary.

For this reason, it is important to consider other factors, such as the company's attitude toward risk, when making decisions based on the results of a simulation model. The company's attitude toward risk can influence the choice of order quantity and affect the overall outcome of the simulation.

Therefore, while the order quantity that maximizes the output in a simulation model might be a good starting point, it is not necessarily the optimal order quantity. Further analysis and consideration of other factors is necessary to determine the best order quantity for the company.

A ratio is a mathematical expression that compares the relative size of two or more values. It is a way of expressing the relationship between two or more quantities in terms of their relative size.

A ratio can be expressed in different ways, such as a fraction, decimal, or percentage. For example, the ratio of 2 to 4 can be expressed as 2/4, 0.5, or 50%.

Ratios are used in many areas of mathematics and science, such as finance, economics, engineering, and physics, to describe and analyze relationships between quantities. For example, in finance, ratios are used to measure a company's financial performance, such as its profitability, liquidity, and debt-to-equity ratios. In engineering, ratios are used to describe the relationship between the size and power of a machine, such as the gear ratio in a car's transmission.

In general, ratios are useful for comparing quantities and understanding the relationships between them, and they play a key role in many aspects of mathematics and science.

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Answer:

Step-by-step explanation:

area formula is

π\(r^{2}\)

plug in values:

9π

which equals

28.2743339

or you can write 9π im not sure what your teacher prefers

circumference formula is

2πr

which equals

6π

or

18.8495559

Answer: 2908.92435 inches.

Step-by-step explanation for shape 1: A = 2(wl + hl + hw) = 2 · (30 · 13 + 13 · 13 + 13 · 30) = 1,898 inches.

Step-by-step explanation for shape 2:

Using the formulas:

A=2AB+(a+b+c)h

AB=s(s﹣a)(s﹣b)(s﹣c)

s=a+b+c

2

Solving for A:

A=ah+bh+ch+1

2﹣a4+2(ab)2+2(ac)2﹣b4+2(bc)2﹣c4=9·30+13·30+9·30+1

2·﹣94+2·(9·13)2+2·(9·9)2﹣134+2·(13·9)2﹣94≈1010.92435

Step-by-step explanation for total volume: 2908.92435 inches.

Answer: 6825 in^3

Step-by-step explanation:

First divided the whole shape into two shapes.

The first shape will be a rectangular prism and the second shape will be a triangular prism.

The rectangular prism will have a length of 13, a width of 30 and the height of 13.

Now find the volume of the rectangular prism by multiplying the length by the width then by the height.

V= 13 * 30 * 13

V = 5070

This means the volume of the rectangular prism is 5070 cubic inches.

Now will will need to find the volume of the triangular prism.

The triangular prism has a triangle at the base, with a base of 9 and a height of 13. If you multiply the the area of the base by the whole height of the triangular prism which is 30 then you will get the volume.

Find the area of the base.

The area  is base time height times 1/2.

A = 9 * 13 * 1/2

A =  58.5  

Now multiply the area by 30.

58.5 * 30 = 1775

Finally, add both volumes to find the full volume of the figure.

5070 + 1775 = 6825

Answer:

11/7, you just turn or flip the fraction.

Step-by-step explanation:

In order to use the t distribution, one will need to determine the degrees of freedom (df) for α. Degrees of freedom refer to the number of independent pieces of information that are available to estimate a statistical parameter such as a population mean or a population variance.

The formula used to calculate the degrees of freedom (df) for the t-distribution is:

df = n - 1

Where "n" is the sample size.

The t-distribution is used to estimate the population mean when the population standard deviation is not known. The distribution has a bell-shaped curve that is similar in shape to the normal distribution. However, the t-distribution has heavier tails than the normal distribution.

This means that it has more probability in the tails of the distribution than the normal distribution does.

The t-distribution has a parameter called the degrees of freedom (df). The degrees of freedom is the number of independent pieces of information that are available to estimate the population mean.

The formula used to calculate the degrees of freedom is:

df = n - 1

Where "n" is the sample size.

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To argue why the liberal arts are so important in education and leisure, one must discuss its Greek origin and how it is received today.

The term "liberal arts" comes from the Latin word "liberalis," which means free. It was used in the Middle Ages to refer to topics that should be studied by free people. Liberal arts refers to courses of study that provide a general education rather than specialized training. It encompasses a wide range of topics, including literature, philosophy, history, language, art, and science.The liberal arts curriculum is based on the idea that a broad education is necessary for individuals to become productive members of society. In ancient Greece, education was focused on developing the mind, body, and spirit.  

The study of the liberal arts is necessary to create well-rounded individuals who can contribute to society in meaningful ways. While the importance of the liberal arts has been debated, it is clear that they are more important now than ever before. The study of the liberal arts is necessary to develop the skills that are required in a rapidly advancing technological world.

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Answer:

14 is +1

15 is -9

Step-by-step explanation:

Answer:

Step-by-step explanation:

x³y² = x * x * x * y * y

x²y³ = x * x     * y  *y * y

GCF = x * x * y * y = x²y²

x³y² - x²y³ = x²y² ( x - y)

The most appropriate statement is that C. The shaded area represent both 2/3 and 6/9 of the whole shape.

Fractions are numbers which are of the form a/b where a and b are real numbers. This implies that a parts of a number b.

Given a square.

This square is divided in to 9 equal sized squares, with 3 rows and 3 columns.

Out of the 9 equal sized squares, 6 squares are shaded.

We can write the fraction of shaded squares to total number of squares as 6/9.

In the same way, we have in the question that, 6 squares which are shaded is the squares in the first two columns, where each column has three squares.

So we can say that, out of 3 equal sized columns, two columns are shaded.

Fraction of shaded columns to total columns is 2/3.

So 2/3 = 6/9.

Hence shaded area represent both 2/3 and 6/9 of the whole shape.

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If Olive Construction Company won the job, there is a 0.4615 (or 46.15%) probability that Base Construction Company would not have submitted a proposal.

Probability is a branch of mathematics that deals with numerical representations of the likelihood of an event occurring or of a proposition being true.

The probability of an event is a number between 0 and 1, with 0 approximately denoting impossibility and 1 denoting certainty.

So, the probability that the base construction company did not bid:

\(\begin{aligned}& P(A \mid B)=\frac{P(B \mid A) P(A)}{P(B \mid A) P(A)+P\left(B \mid A^{\prime}\right) P\left(A^{\prime}\right)} \\& P\left(B^{\prime} \mid O\right)=\frac{P\left(O \mid B^{\prime}\right) P\left(B^{\prime}\right)}{P\left(O \mid B^{\prime}\right) P\left(B^{\prime}\right)+P(O \mid B) P(B)} \\& P\left(B^{\prime} \mid O\right)=\frac{(0.5)(0.3)}{(0.5)(0.3)+(0.25)(0.7)} \\& P\left(B^{\prime} \mid O\right)=\frac{0.15}{0.15+0.175} \\& P\left(B^{\prime} \mid O\right)=0.4615\end{aligned}\)

Therefore, if Olive Construction Company won the job, there is a 0.4615 (or 46.15%) probability that Base Construction Company would not have submitted a proposal.

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It is less appropriate to express the area of the property cultivated by the agricultural cooperative in m² because this unit of measurement is too small for such a large area.

The area of a property cultivated by an agricultural cooperative is typically very large, often spanning several hectares or even square kilometers. Expressing the area in m² would result in a very large number that is difficult to comprehend and work with. It is more appropriate to use a larger unit of measurement, such as hectares or square kilometers, to express the area of the property cultivated by the agricultural cooperative. This allows for a more concise and understandable representation of the area.

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I think that you have to add the percentage and decimals:

0.26+40%+0.04 = 0.404

Answer:

70%

Step-by-step explanation:

hope that is helpful to you

50% οr less οf qualifying incοme, at least twο credit references fοr each bοrrοwer withοut a credit scοre.

The number οf nοn-traditiοnal credit references required fοr a bοrrοwer with nο credit scοre can vary depending οn the lender and their specific requirements. Generally, lenders may ask fοr alternative credit references tο assess the bοrrοwer's creditwοrthiness in the absence οf a traditiοnal credit scοre. These alternative references cοuld include:

Rental payment histοry: Prοviding evidence οf οn-time rental payments and a gοοd rental histοry can serve as a pοsitive credit reference.

Utility bills: Shοwing cοnsistent and timely payment οf utility bills such as electricity, water, οr gas can demοnstrate respοnsible financial behaviοr.

Cell phοne bills: Submitting prοοf οf regular and timely payments fοr cell phοne bills can be cοnsidered as a credit reference.

Bank statements: Prοviding bank statements that shοw regular depοsits, savings, and respοnsible mοney management can be used as a credit reference.

Emplοyment histοry: Demοnstrating a stable emplοyment histοry and prοviding emplοyment verificatiοn can be cοnsidered as a nοn-traditiοnal credit reference.

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Complete question:

How many non traditional credit references are required for a borrower with no credit score?

The measure of the angle of elevation is 58°( nearest degree)

The angle of elevation is an angle that is formed between the horizontal line and the line of sight. If the line of sight is upward from the horizontal line, then the angle formed is an angle of elevation.

The height of the pole will represent the opposite to the angle of elevation and the length of the shade will be the adjascent to the angle of elevation.

Represent the angle of elevation by x

Tan x = opp/adj

Tan x = 8/5

Tan x = 1.6

x = tan^-1(1.6)

x = 58° ( nearest degree)

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Answer:

the midpoint of -2,1 is 0 or -1 i think  and the midpoint of 6,-3 is 0

Answer: are y^(1/5) so than this mean 5 index radical of y

Step-by-step explanation: :) hope I helped!

Answer:

but it is correct

Step-by-step explanation:

please mark me as brainliest

To find the largest subset of real numbers for which the function f(x) = √(1 - |x|) is defined, we need to determine the values of x that make the expression inside the square root non-negative. Remember that the square root of a negative number is undefined in the real number system.

Let's break it down into cases:

Case 1: 1 - |x| ≥ 0

If 1 - |x| ≥ 0, it means that 1 ≥ |x|. This implies -1 ≤ x ≤ 1.

Case 2: 1 - |x| < 0

If 1 - |x| < 0, then |x| > 1. In this case, there is no real number x that satisfies this condition, as the absolute value of x cannot be greater than 1.

Therefore, the largest subset of real numbers for which the function f(x) = √(1 - |x|) is defined is the interval [-1, 1].

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Answer:

Experimental study

Step-by-step explanation:

Answer:

each trip travelled 3106 km

Step-by-step explanation:

The computation of the each ship travelled is shown below:

= Distance travelled ÷ number of ships

= 6212 km ÷ 2 ships

= 3106 km

Hence, each trip travelled 3106 km

We simply applied the above formula