Find the missing sides using special right triangles

Answer:

Nope no help. :d

Step-by-step explanation:

On solving the provided question, we can say that we excluded example 2 above, a maximum of 3 triangles can be created with those rods.

A triangle is a polygon since it has three sides and three vertices. It is one of the basic geometric shapes. The name given to a triangle containing the vertices A, B, and C is Triangle ABC. A unique plane and triangle in Euclidean geometry are discovered when the three points are not collinear.

\(2-inch, 3 inch, 4-inch\)

triangle, because 2+3 > 4, 2+4 > 3, and 3+4 > 2

\(2-inch, 3 inch, 5-inch\)

This is doesn't make  a triangle as  \(2+5 > 3, and 3+5 > 2,\)

2+3 is not more  than 5,, they cannot make triangle.

\(2-inch, 4 inch, 5-inch\)

triangle, because 2+4 > 5, 2+5 > 4, and 4+5 > 2

\(3-inch, 4 inch, 5-inch\)

a triangle, because 3+4 > 5, 3+5 > 4, and 4+5 > 3

Therefore, since we excluded example 2 above, a maximum of 3 triangles can be created with those rods.

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The camera with the square hole of the same area as the round hole in the first camera may produce a slightly different image with sharper edges and corners, but potentially with some distortion or unevenness compared to the image produced by the camera with the round hole.

The pinhole cameras you describe are basic examples of camera obscuras, where a small hole in a light-tight enclosure allows light to pass through and project an inverted image of the outside world onto a surface inside the enclosure. The size and shape of the hole can affect the quality and characteristics of the projected image.

In general, a smaller hole (i.e., a smaller aperture) will produce a sharper image with greater depth of field, but will require a longer exposure time and result in a dimmer image. A larger hole will produce a brighter image with shorter exposure times, but will have a shallower depth of field and potentially more distortion.

As for the shape of the hole, a round hole tends to produce a more uniform and symmetrical image, while a square hole can produce sharper edges and corners, but may introduce some distortion or unevenness in the image.

Therefore, the camera with the square hole of the same area as the round hole in the first camera may produce a slightly different image with sharper edges and corners, but potentially with some distortion or unevenness compared to the image produced by the camera with the round hole. However, the overall quality and characteristics of the image will depend on many factors beyond just the shape of the aperture, such as the size of the enclosure, the distance between the hole and the projection surface, and the properties of the projection surface and lighting conditions.

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The z-score for which the area under the standard normal curve to its left is 0.96 is approximately 1.75.

What is a normal distribution?

A normal distribution is a type of probability distribution that is often used in statistical analysis. It is a continuous probability distribution that is symmetric around its mean and bell-shaped, with the majority of the data points falling close to the mean and fewer data points farther away from the mean.

We can use a standard normal distribution table or a calculator to find the z-score that corresponds to a left-tail area of 0.96.

Using a standard normal distribution table, we look for the row corresponding to 0.9 in the left-hand column and the column corresponding to 0.06 in the top row. The intersection of these rows and columns gives us a value of 1.75. This means that the area to the left of z = 1.75 under the standard normal curve is approximately 0.96.

Alternatively, we can use a calculator that has a built-in function to calculate the inverse cumulative distribution function (also called the inverse normal function) to find the z-score. For example, using the qnorm() function in R, we can compute:

qnorm(0.96)

which gives us a value of approximately 1.75.

Therefore, the z-score for which the area under the standard normal curve to its left is 0.96 is approximately 1.75.

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Answer:

49

Step-by-step explanation:

5×2(5)+1_2

5×10+1_2

50+1_2

51_2

49

Answer:

~64 meters

Step-by-step explanation:

depending on how you go at this, you can get a variant of what i have, but it should not go over 70 meters. nor under 60 meters.

If a function is given that h(t) = 2t^2 - t; t = 4, t = 8, then the net change between the given values of the variable is 92 and the average rate of change between the given values of the variable is 23.

Explanation:

Given that: Based on the provided function h(t) = 2t^2 - t and the given values of t = 4 and t = 8.

To determine the net change and average rate of change, follow these steps:

(a) The difference between the two h(x) values is the net change.

To find the net change, we need to evaluate the function at both values of t and then subtract the results:

Net change = h(8) - h(4)
Net change = (2(8)^2 - 8) - (2(4)^2 - 4)
Net change = (128 - 8) - (32 - 4)
Net change = 120 - 28
Net change = 92

(b) The ratio between the net change and the change between the two input values is used to calculate average net change or average rate of change. The average rate of change can be calculated using the same two points and the formula: f(b)-f(a) / b-a .

To determine the average rate of change, we need to divide the net change by the difference in the t values:

Average rate of change = Net change / (t2 - t1)
Average rate of change = 92 / (8 - 4)
Average rate of change = 92 / 4
Average rate of change = 23

So, the net change is 92 and the average rate of change is 23 between the given values of the variable.

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To find the average, one adds up all the scores and then divides by the total number of scores.

Joan had to find the average of the scores of her friends. To find the average, one adds up all the scores and then divides by the total number of scores. In this case, Joan had to find the sum of 10 different scores of her friends and then divide by 10. This will give her the average of the scores of her friends, which is a single value representing the central tendency of the scores. The average is a commonly used statistical measure that provides an overall idea of the data. In this case, the average of the scores of Joan's friends will give her an idea of the overall performance of her friends in the test she is preparing for.

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Answer:

x = 10.931 or round to x = 11

Step-by-step explanation:

In this case, the variance of the distribution of means is 3, indicating that the sample means are relatively close to the population mean.

To find the variance of the distribution of means, we can use the formula for the variance of a sampling distribution.

The formula is given as:
variance of the distribution of means = population variance / sample size

In this case, the population variance is given as 36 and the sample size is 12.

So, we can substitute these values into the formula:
variance of the distribution of means = 36 / 12

Simplifying the equation, we get:
variance of the distribution of means = 3

Therefore, the variance of the distribution of means is 3.

The variance of the distribution of means represents how spread out the sample means are from the population mean. It measures the variability in the sample means when compared to the population mean.

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Answer:

19/15 is the answer

The first four terms of the sequence are:

a1 = 2

a2 = 2 - 3 = -1

a3 = -1 - 3 = -4

a4 = -4 - 3 = -7

The sequence defined by the rule an = 2, if n = 1; an-1-3, if n > 1, starts with the first term being 2. For all subsequent terms, the value of the previous term is subtracted by 3. Therefore, the second term of the sequence is -1 (2-3), the third term is -4 (-1-3) and fourth term is -7 (-4-3). This pattern of subtracting 3 from the previous term will continue for all subsequent terms in the sequence. The sequence can be represented by the function an = 2 - 3(n-1) for any natural number n.

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Answer:

the price with the offer is going to be 1.59$

Step-by-step explanation:

\( \frac{x}{5.30} = \frac{70}{100} \)

\(100(x) = 70(5.30)\)

\(100(x) = 371\)

\( \frac{100(x)}{100} = \frac{371}{100} \)

\(x = 3.71\)

\(70\% \: \: \: of \: \: \: 5.30 \: \: \: is \: \: \: 3.71\)

\(5.30 - 3.71 = 1.59\)

From $1786 Bill Dupp’s Lumber Yard delivered 620 cubic feet of sand.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, Bill Dupp’s Lumber Yard charges $2.80 for each cubic foot of sand delivered, plus $50 to deliver the sand.

Let, 'x' be the number of cubic foot of sand delivered.

Therefore,

2.80x = 50 + 1786

2.80x = 1786 - 50.

2.80x = 1736.

x = 1736/2.80.

x = 620 cubic foot of sand.

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The relation R is transitive even if it is neither reflexive nor symmetric.

(a) If A=[5,6,7], then define a relation R on A as R=(5,6),(6,5).

The reflexivity of Relation R differs from that of (5,5),(6,6),(7,7)/R).

As a result of (5, 6)R and (6, 5)R, R is now symmetric.

On the other hand, (5,5)/R/R is not transitive.

R is hence symmetric but neither reflexive nor transitive: "(5,6), "(6,5)".

(b) Consider the relation R in the statement R, which is written as R=(a,b):ab.

We have (a,a) / R for any a because a cannot be strictly less than an itself. In reality, a=a.

R has no reflex.

Right now, (1,2)R(as12)

But two is not one less than one.

There is no symmetry in the ratio (2,1)/R.

Now, let (a,b),(b,c)R.

"A,B, and C" is a transitive verb.

As a result, relation R is transitive even if it is neither reflexive nor symmetric.

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To find the area of the trapezoid with a longer base of 6 units, a shorter base of 2 units, and a height of 4 units, we will form a parallelogram.

Step 1: Extend the shorter base of the trapezoid (2 units) by 4 units, which is the same as the height of the trapezoid, to form a parallelogram.    

Step 2: Now, the parallelogram has a base of 6 units (the same as the longer base of the trapezoid) and a height of 4 units (the same as the height of the trapezoid).

Step 3: Find the area of the parallelogram using the formula: Area = base × height.
Area = 6 units × 4 units = 24 square units.

Step 4: Since the area of the parallelogram is double the area of the trapezoid, divide the area of the parallelogram by 2 to find the area of the trapezoid.
Area of trapezoid = 24 square units ÷ 2 = 12 square units.

So, the area of the trapezoid is 12 square units.      

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The equation of Basanta's walking route is: y = -2x + 10

We can find the equation of Basanta's walking route by using the slope-intercept form of a linear equation:

y = mx + b

where m is the slope of the line and

b is the y-intercept.

To find the slope of Basanta's walking route, we can use the coordinates of two points on the line, namely B(6, -2) and K(4, 2):

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

= (2 - (-2)) / (4 - 6)

= 4 / (-2)

= -2

To find the y-intercept, we can use the coordinates of one of the points on the line, for example, B(6, -2):

y = mx + b

-2 = (-2)(6) + b

-2 = -12 + b

b = 10

Therefore, the equation of Basanta's walking route is: y = -2x + 10

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We will simply subtract 3 3/8 from 6 1/2

That is;

6 1/2 - 3 3/8

= 3 4-3/8

=3 1/8

The amount of berry left is more than 3 cups, hence Ryan have enough very stuff to also make a pie

Given a system of two equations in two variables, solve using the substitution method.

Word problems that require us to write systems of linear equations have two unknown quantities and two different ways to relate them.

This means we need to write two linear equations, and each contains the two unknowns as variables. The Understanding linear relationships lesson details how to translate verbal descriptions into equations.

After we write the equations, we can solve the system using our preferred method(s) for solving systems of linear equations covered in the Solving systems of linear equations lesson.

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To compare the means of three independent sections, three separate independent sample t-tests were conducted. The p-values for each pairwise comparison are as follows: the p-value for comparing sections 1 and 2 is 0.2458, the p-value for comparing sections 1 and 3 is 0.0267, and the p-value for comparing sections 2 and 3 is 0.3667. Based on a significance level of α = 0.05, the pairwise comparison of sections 1 and 3 indicates a statistically significant difference in means.

In the first pairwise comparison between sections 1 and 2, the p-value of 0.2458 is greater than the significance level of α = 0.05. Therefore, we do not have sufficient evidence to conclude that there is a statistically significant difference in means between sections 1 and 2.

In the second pairwise comparison between sections 1 and 3, the p-value of 0.0267 is less than the significance level of α = 0.05. This indicates that there is a statistically significant difference in means between sections 1 and 3.

In the final pairwise comparison between sections 2 and 3, the p-value of 0.3667 is greater than α = 0.05. Hence, we do not have enough evidence to conclude that there is a statistically significant difference in means between sections 2 and 3.

Therefore, based on the conducted t-tests, the only pair of groups that have statistically significantly different means at the 0.05 significance level is sections 1 and 3.

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Answer:

A

Step-by-step explanation:

X can be referred to as a number here because it can be anything.

and X is being divided by three there.

also according to the

B brackets

O order or power

D division

M multiplication

A addition

S subtraction

BODMAS rule division would be done before you subtract the 15

I hope you do well in the future!!! Believe in yourself!

Two possible questions are:

The appropriate questions are questions that can be solved using  either statistics or mathematical operation.

For example, In order to determine the total cost of the donation, the total shoes donated would have to multiplied by the cost per shoe.

Here is the complete question?
Directions: Read and analyze the situation below and write 2 possible

questions problems which you think can be solved using statistics.

1. A private company wanted to donate black shoes for the students for

the upcoming school year.

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Answer:

12 percent

Step-by-step explanation:

Technically its 11.7647 but I'm pretty sure you would round that to 12 percent, if not 12 percent 11.8 percent. Hope this helps!

Answer:

option 1

Step-by-step explanation:

cube root of 125 = 5

cube root of 27 = 3

5+3 = 8

now take x^10 =cube root of x^(3+3+3+1)

cube root of x^10 = x^(1+1+1)+*cube root of x

cube root of y^13 = cube root of y^(3+3+3+3+1)

= y^4*cube root of y

so answer is opt 1

Answer:

=−28

Step-by-step explanation:

According to the given points on the graph the instructor's initial charge is $20.00.

A group of two or more equations that are solved concurrently to get the values of the variables that satisfy each of the equations is known as a system of equations. Systems of equations are used to represent and solve issues in mathematics that involve several variables and their interactions. Several techniques, such as substitution, elimination, and graphing, can be used to resolve a system of equations.

Let us suppose the number of hours = x.

Let us suppose the total cost = y.

Thus,

y = mx + b

Substituting the given point:

52 = 4m + b

Given the hourly rate is 8.

52 = 4(8) + b

52 = 32 + b

b = 20

Hence, according to the given points on the graph the instructor's initial charge is $20.00.

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The complete question is:

y = 6 sin [(π/10)t] + 8; equation gives us the depth of the water at the dock as a function of time elapsed since the wave started passing the dock.

A sinusoidal function is a mathematical function that oscillates or fluctuates in a periodic manner, following a sine or cosine curve.

If the wave approaches a dock in Carmel where the normal depth is 8 meters and varies sinusoidal with time, then we can use the equation for a sinusoidal function:

y = A sin (ωt + φ) + C

where: A is the amplitude of the wave, which is given as 12 meters

ω is the angular frequency, which can be calculated as 2π / T, where T is the period of the wave (20 minutes in this case)

t is the time elapsed since the wave started passing the dock

φ is the phase angle, which we can assume to be 0 since we are not given any information about it

C is the vertical displacement of the wave from the normal depth, which is 8 meters in this case

putting the given values into the equation,

y = 12 sin [(2π/20)t] + 8

Simplifying this equation,

y = 6 sin [(π/10)t] + 8

This equation gives us the depth of the water at the dock as a function of time elapsed since the wave started passing the dock.

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Answer:

  y = -x -1

Step-by-step explanation:

You want an equation of the line parallel to y=-x+8 through point (3, -4).

The parallel line will have the same slope as the given line. That slope is the coefficient of x: -1.

The point-slope form of the equation of a line with slope m through point (h, k) is ...

  y -k = m(x -h)

You have m=-1, (h, k) = (3, -4), so the desired line has equation ...

  y -(-4) = -1(x -3)

  y +4 = -x +3 . . . . . . point-slope form

Add -4 to get this to slope-intercept form.

  y = -x -1 . . . . . . . . . slope-intercept form