Calculate the measure of central angle XYZ. Write the number only.

3/10ths if im not wrong

The Area of Trapezium is 50, 267 mm².

We have,

base 1 = 224 mm

base 2 = 77 mm

Height = 334 mm

Now, Area of Trapezium

= 1/2 (Sum of parallel side) x height

= 1/2 (224 + 77) x 334

= 1/2 x 301 x 334

= 50, 267 mm²

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Step-by-step explanation:

4√2+ 7√2 - 3√2 = (4 + 7 - 3)√2 = 8√2

Topic: Indices and Surds

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Answer:

56

Step-by-step explanation:

Because w and 124 make a straight line. So you would need to subtract 180 from 124

Answer:

A )56

Step-by-step explanation:

Answer:

Factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24 and 48.

Factors of 62 : 1, 2, 31, and 62.

All Factors of 95: 1, 5, 19 and 95

Step-by-step explanation:

The slope of the new road is zero.

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

Given:

Take points from the Graph (5, 0) and (5, 4).

Slope of a line = m = tanθ

where θ is the angle made by the line with the x−axis.

For a line parallel to y−axis ,θ= π/2.

​

∴m = tan π/2 = undefined

The new road will therefore have 0° of inclination if it is perpendicular to D street because if they are perpendicular and D street is vertical, the new road is level and has 0° of inclination.

An horizontal line now has zero slope.

The new road has a zero slope as a result.

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The labeled points are (-2, 1), values into the Point-slope form  y - 1 = -2(x + 2).

The equation of the line in point-slope form, we need to use the slope-intercept form of a line, which is given by:

y - y₁ = m(x - x₁)

Where (x₁, y₁) represents the coordinates of a point on the line, and m is the slope of the line.

In this case, the given slope is -2, and the labeled point is (-2, 1). Substituting these values into the point-slope form, we have:

y - 1 = -2(x - (-2))

Simplifying further:

y - 1 = -2(x + 2)

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The pair of lines perpendicular to RS are EA and FG.

A flat surface on which a straight line joining any two points on it would wholly lie is known as a plane.

What is plane?

A plane is a point, a line, and three-dimensional space's equivalent in two dimensions.

Main Body:

Given

E,F and G are on plane X. R and S are in both planes X and Y. EA and FG are parallel. AE and FG are vertical lines and are present on plane X. RS is present at the intersection of the 2 planes.

Explanation:

The lines which together could be perpendicular to RS are EA and FG.

We have to first draw both the planes according to the given information in question.

X is a vertical plane so draw a plane vertical on the horizontal plane that is Y plane. Now plot A and F And G in X plane and R,S in such a way that they  are in both plane so they will be at the intersection of both the planes. Now draw lines from A and F to form lines EA and FG.

Hence we can observe that lines EA and FD are perpendicular on line RS.

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The probability that there are exactly two power failures on a particular day is roughly 0.0459 or 0.046 (adjusted to three decimal places).

Let X be the number of control disappointments on a specific day. Since the mean number of control disappointments per day is 0.210, the Poisson parameter lambda additionally rises to 0.210.

Hence, we need to discover the likelihood that X = 2, given lambda = 0.210.

Utilizing the Poisson likelihood mass work, we have:

P(X = 2) = \((e^(-lambda) * lambda^x) / x!\)

P(X = 2) = (\(e^\)(-0.210) * 0.210²) / 2!

P(X = 2) = 0.04586

Hence, the likelihood that there are precisely two control disappointments in a specific day is roughly 0.0459 or 0.046 adjusted to three decimal places. 

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The teacher's comment is almost correct because Joseph's expansion was incorrect, but his answer was almost the same as the true coefficient of the fourth term, which was -27.

Let's first write the expansion of (2 - 3x) up to the fourth term in ascending powers of x:{2 - 3x + (3x)² - (3x)³ + (3x)⁴}

Notice that the coefficients of each term are: 1, -3, 9, -27, and 81.

The coefficient of the fourth term is -27, not 15120 as Joseph claimed.

However, it is possible that Joseph made a mistake in his calculation.

Let's check what the coefficient of the fourth term would be if Joseph had made a common mistake.

Joseph's coefficient of the fourth term = 15120

True coefficient of the fourth term = -27

Let the coefficient of the first term be a.

Then, we have:Coefficient of the fourth term = a*(nCk)*(b)^(n-k)

For the fourth term, n = 4 and k = 3.

Substituting the values, we get:-

27 = a*(4C3)*(3x)³

-27 = 12a(27)x³

a = -1/4

The coefficient of the first term is -1/4.

Therefore, the expansion of (2 - 3x) up to the fourth term in ascending powers of x is:{-1/4 + 2 - 3x + (3x)² - (3x)³  + (3x)^4}

The teacher's comment is almost correct because Joseph's expansion was incorrect, but his answer was almost the same as the true coefficient of the fourth term, which was -27.

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The solution to the equation log_6 x + log_6 3 = log_6 (x+1) is x = 1/2.

Explain:

We can reduce the complexity of the left side of the equation by using the logarithmic identity log a + log b = log (ab):

Log6 x plus Log6 3 equals Log6 (3x)

When we add this to the initial equation, we obtain:

Log6 (3x) equals Log6 (x+1).

Because logarithms have the one-to-one property, we can drop the logarithm on both sides to get the following results:

3x = x + 1

When we simplify this equation, we obtain:

2x = 1

x = 1/2

As a result, x = 1/2 is the answer to the equation log 6 x + log 6 3 = log 6 (x+1).

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1. xy-plane: 11 units 2. yz-plane: 5 units 3. xz-plane: 4 units 4. x-axis: √137 units 5. y-axis: √146 units 6. z-axis: √41 units

To find the distance from the point (-5, 4, -11) to each of the given planes and axes, we can use the distance formula. The distance formula between two points (x1, y1, z1) and (x2, y2, z2) is given by:

d = √((x2 - x1)^2 + (y2 - y1)^2 + (z2 - z1)^2)

1. The xy-plane:

The xy-plane has a z-coordinate of 0. So, the point (-5, 4, -11) is projected onto the xy-plane as (-5, 4, 0). The distance to the xy-plane can be found by calculating the difference in z-coordinates:

d1 = |-11 - 0| = 11 units.

2. The yz-plane:

The yz-plane has an x-coordinate of 0. So, the point (-5, 4, -11) is projected onto the yz-plane as (0, 4, -11). The distance to the yz-plane can be found by calculating the difference in x-coordinates:

d2 = |-5 - 0| = 5 units.

3. The xz-plane:

The xz-plane has a y-coordinate of 0. So, the point (-5, 4, -11) is projected onto the xz-plane as (-5, 0, -11). The distance to the xz-plane can be found by calculating the difference in y-coordinates:

d3 = |4 - 0| = 4 units.

4. The x-axis:

The x-axis has a y-coordinate and z-coordinate of 0. So, the point (-5, 4, -11) is projected onto the x-axis as (-5, 0, 0). The distance to the x-axis can be found by calculating the difference in y-coordinates and z-coordinates:

d4 = √((4 - 0)^2 + (-11 - 0)^2) = √(16 + 121) = √137 units.

5. The y-axis:

The y-axis has an x-coordinate and z-coordinate of 0. So, the point (-5, 4, -11) is projected onto the y-axis as (0, 4, 0). The distance to the y-axis can be found by calculating the difference in x-coordinates and z-coordinates:

d5 = √((-5 - 0)^2 + (-11 - 0)^2) = √(25 + 121) = √146 units.

6. The z-axis:

The z-axis has an x-coordinate and y-coordinate of 0. So, the point (-5, 4, -11) is projected onto the z-axis as (0, 0, -11). The distance to the z-axis can be found by calculating the difference in x-coordinates and y-coordinates:

d6 = √((-5 - 0)^2 + (4 - 0)^2) = √(25 + 16) = √41 units.

Summary of distances:

1. Distance to the xy-plane: 11 units.

2. Distance to the yz-plane: 5 units.

3. Distance to the xz-plane: 4 units.

4. Distance to the x-axis: √137 units.

5. Distance to the y-axis: √146 units.

6. Distance to the z-axis: √41 units.

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Solution:

If we choose a usual coordinate axis, an object going down would be traveling a negative distance, so a possible answer would be:

C. skiing 161 ft down a mountain.

On the other hand, An expense of money involves a waste of money, which is negative. So another possible answer would be:

D. spending $spending $161 on vacation.

Then, we can conclude that the correct answer would be:

C. skiing 161 ft down a mountain.

D. spending $spending $161 on vacation.

Answer:

The selling price of the bag is $22.5

Step-by-step explanation:

Buying Price = $25,

Selling Price = ?

Since they sold it at a loss of 10%,

So, they sold it for a price 10% less than the buying price,

or at 90% or 0.9 of the buying price,

so,

Selling Price = (0.9)(25) = $22.5

True. Data Envelopment Analysis (DEA) is best used in an environment of low diverges and high complexity. In such situations, DEA can effectively analyze and compare the efficiency of decision-making units, even when dealing with multiple inputs and outputs.

Data Envelopment Analysis (DEA) is a method used to measure the efficiency of decision-making units. It works by analyzing a set of inputs and outputs to determine the relative efficiency of each unit. DEA is best suited for situations where there is low diverges among the units being analyzed, meaning they are all operating under similar conditions. Additionally, DEA is most effective in situations of high complexity, where there are multiple inputs and outputs that need to be considered. Therefore, the statement that DEA is best used in an environment of low divergence and high complexity is true.

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The solution is: 1) rate = 80 km/h and, 2.) rate = 15 km/h.

Here, we have,

given that,

1.) distance = 280 km

   time = 3.5 hours.

2.) distance = 7.5 km

   time = 30 mints.

now, we have to find the rate i.e. speed.

we know that,

Speed = Distance/ Time.

so, we get,

1.) distance = 280 km

   time = 3.5 hours.

so, rate = 280/3.5 = 80 km/h

2.) distance = 7.5 km

   time = 30 mints. = 1/2 hours

so, rate = 7.5/ 1/2 = 15 km/h

Hence, The solution is: 1) rate = 80 km/h and, 2.) rate = 15 km/h.

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The new coordinates of the point (5, 2) after rotating counterclockwise about the origin through an angle of 5 degrees are approximately (4.993, 2.048).

To find the new coordinates of the point (5, 2) after rotating counterclockwise about the origin through an angle of 5 degrees, we can use the rotation formula:

x' = x * cos(theta) - y * sin(theta)

y' = x * sin(theta) + y * cos(theta)

Where (x, y) are the original coordinates, (x', y') are the new coordinates after rotation, and theta is the angle of rotation in radians.

Converting the angle of rotation from degrees to radians:

theta = 5 degrees * (pi/180) ≈ 0.08727 radians

Plugging in the values into the rotation formula:

x' = 5 * cos(0.08727) - 2 * sin(0.08727)

y' = 5 * sin(0.08727) + 2 * cos(0.08727)

Evaluating the trigonometric functions and simplifying:

x' ≈ 4.993

y' ≈ 2.048

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Answer:

m=\(\frac{23}{3}\) simplest form if you need it as a decimal its m=7.6

Step-by-step explanation:

Answer:

-x²-2

Step-by-step explanation:

x² = the curve faces upwards

but

-x² the curve faces downwards.

also

the downward curve touches -2 on the y axis.

therefore gx = -x²-2

The probability that a test revealed that Jared is a carrier but Lucia is not is 1/4

Mendel discovered that genes are inherited as separate, paired units, one from each parent. Its application of mathematics to illuminate observations of natural phenomena.

Given that lucia and jared each have a sibling with cystic fibrosis, but neither lucia nor jared nor their parents have the disease

Mendel theory is a technique used to estimate the probability of getting specific characteristics.

Lucia and Jared have a probability of both carrier and non carrier

If both of them are non carrier then the children born to their family have no chances of getting disease.

If any one of them is carier, then there is a chance of getting one child as a carrier. That is ¼ or the ratio is 1:4

If both of them are carriers then the ratio will be 1:2:1

If Jared is carrier then the probability will be ¼

Therefore the probability if a test revealed that jared is a carrier but lucia is not is ¼

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Answer:

4. -1/2 and 2

5. N and R

Step-by-step explanation:

Well if you want me too do 5 I’ll do 4 too.

So for #4 it’s actually pretty simple we just have to seperate y that’s it.

So first we have to get y by itself by subtracting 3x to the other side so the equation looks like this now \(6y=-3x+12\).

Now we have to take away the 6 and to do that we divide it to all the numbers and variables. Which gets us \(y=-1/2x+2\).

So m and b are -1/2 and 2.

So we have to graph y = -1/2x + 2 so look at the image below.

So looking at the image we can see it passes through the points N and R.

Answer:

The line passes through points N and R.

Step-by-step explanation:

I graphed the equation on the graph below.

Answer: I don’t see your question about your problem in mathematics.

Step-by-step explanation:

Answer:

The information that suits the display on a double-line graph is:Option: B and Option: C

B. number of Democrats and Republicans in the Senate during the past decade.

C. monthly sales of two different types of cars during a one-year period.

Step-by-step explanation:

A double-line graph consist of two axes.

It shows the occurrence and the categories  which are being compared over the time. i.e. it is used to compare two sets of the data.

Hence, the correct option is:

B. number of Democrats and Republicans in the Senate during the past decade.

C. Monthly sales of two different types of cars during a one-year period.

( C. Since the x-axis represent the number of months and the y-axis represent the number of cars sold.

B. Since, the decade are represented by the x-axis and the number of people are represented by y-axis )

whereas in option A the height and weight are represented by a different units.

Step-by-step explanation:

By identifying and minimizing these uncertainties, it is possible to improve the accuracy of the data and obtain more reliable results.

Experimental uncertainties refer to the errors or variations that may occur in the process of conducting an experiment. There are several sources of experimental uncertainties that can affect the accuracy of the data, specifically:

1. Instrument uncertainties: These uncertainties arise from the limitations of the instruments used in the experiment. For example, if a measuring device has a limited resolution or if it is not properly calibrated, it can lead to inaccuracies in the measurements.

2. Operator uncertainties: These uncertainties arise from the variations in the way different people conduct the experiment. For example, if different people are measuring the same quantity, they may have different techniques, which can lead to variations in the measurements.

3. Environmental uncertainties: These uncertainties arise from the variations in the environment in which the experiment is conducted. For example, if the temperature or pressure of the environment changes during the experiment, it can affect the measurements.

Each of these sources of experimental uncertainties can affect the accuracy of the data by introducing errors or variations in the measurements. By identifying and minimizing these uncertainties, it is possible to improve the accuracy of the data and obtain more reliable results.

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Answer:

Step-by-step explanation:

100 goes into the numerator and (22 + 3) into the denominator:

100

----------- is an expression.

(22 + 3)

This expression can be simplified as follows:

100

------- = 4

 25

Given:-

Solution:-

\(: \implies \sf\dfrac{100}{(22 + 3)} \\ \\ \\ : \implies \sf\dfrac{100}{25} \\ \\ \\ : \implies \sf \: 4 \: is \: the \: answer\)

Answer:

7 per minute

Step-by-step explanation:

This is because if you divide 630 by 90 it would give you 7, and if you times 7 by 90 it would give you 630,

. For example one minute is 7 miles so 90 minutes is 630 miles. Your welcome.

Answer: 7 per minutes

Step-by-step explanation:

Answer:

Sorry I can't help with2.08

Hope the remaining helped

PLS mark BRAINLIEST

Answer:

6

Step-by-step explanation:

4 + 2i

4 + 2 = 6

hope its helpful

Answer:

2048

Step-by-step explanation:

the sequence of the pattern is times 4 each time. 512 times 4=2048