4. Figure I shows a logo comprised of a rhombus surrounded by two arcs.
Arc BAD has centre and arc BCD has centre 4. Some of the
dimensions of the logo are shown in the diagram.
Figure 1
4
+
Prove that the shaded area of the logo is (163-24,5)
8 marks

Experimental and quasi-experimental designs share similarities in terms of their focus on investigating cause-and-effect relationships. These designs both involve manipulating variables and observing their effects on an outcome of interest.

However, they differ in terms of the level of control the researcher has over the assignment of participants to groups. Experimental designs are characterized by the random assignment of participants to different groups or conditions. This randomization helps ensure that any observed differences between groups can be attributed to the manipulation of the independent variable. The researcher has control over the assignment process, allowing for stronger causal inferences. Quasi-experimental designs, on the other hand, lack the random assignment of participants to groups. This may be due to practical or ethical reasons. Instead, participants are assigned to groups based on pre-existing characteristics, such as age or location. While quasi-experimental designs still allow for the examination of cause-and-effect relationships, they are considered less rigorous than experimental designs due to the potential for confounding variables. In summary, experimental and quasi-experimental designs both aim to investigate cause-and-effect relationships. They differ primarily in the level of control the researcher has over participant assignment. Experimental designs use random assignment for greater control, while quasi-experimental designs rely on pre-existing characteristics.

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Answer:

Step-by-step explanation:

p \(\geq\) 6 (The arrow points to the right and it is thickened at the center)

p > 6 ( The arrow points to the right and it is not thickened at the center )

p < 6 ( The arrow points to the left, and it is not thickened at the center)

p \(\leq\) 6 ( The arrow points to the left, and it is thickened at the center)

p  \(\geq\) 7 ( The arrow points to the right and it is thickened at the center)

p < 5 ( The arrow points to the left and it is not thickened at the center)

\((\stackrel{x_1}{6}~,~\stackrel{y_1}{8})\qquad (\stackrel{x_2}{-2}~,~\stackrel{y_2}{4}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{4}-\stackrel{y1}{8}}}{\underset{run} {\underset{x_2}{-2}-\underset{x_1}{6}}} \implies \cfrac{ -4 }{ -8 } \implies \cfrac{ 1 }{ 2 }\)

\(\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{8}=\stackrel{m}{ \cfrac{ 1 }{ 2 }}(x-\stackrel{x_1}{6}) \\\\\\ y-8=\cfrac{ 1 }{ 2 }x-3\implies {\Large \begin{array}{llll} y=\cfrac{ 1 }{ 2 }x+5 \end{array}}\)

Answer:

x≈64.3

Step-by-step explanation:

since we already know the measures of 2 of the 3 angles in the triangle, we can find the 3rd angle:

180°-90°-25°=65°

now, we can use the law of sines to find the missing side:

sin25°/30=sin65°/x

x sin25°=30sin65°

x=(30sin65°/sin25°)

x≈64.33520762

rounded to the nearest 10th:

x≈64.3

Answer:

It should be (6, -3) If I am correct- sorry if it isn't

The cost of the utility pole is approximately $593.96.

Volume is a measure of the amount of space occupied by a three-dimensional object. It is usually measured in cubic units such as cubic meters (m³), cubic centimeters (cm³), or cubic feet (ft³). The volume of an object can be found by measuring its length, width, and height and using a formula that relates these dimensions to the amount of space the object occupies. In geometry, the most common shapes for which volume is calculated include cubes, spheres, cylinders, pyramids, and cones.

The volume of a right cylinder is given by the formula V = πr²h, where r is the radius of the base and h is the height.

In this case, the diameter of the utility pole is 1.5 ft, so the radius is 0.75 ft. The height is 45 ft. Therefore, the volume of the utility pole is:

V = π(0.75 ft)²(45 ft) = 23.3826... cubic feet

Rounding to the nearest hundredth, we get:

V ≈ 23.38 cubic feet

The cost of wood per cubic foot is $25.37. Therefore, the cost of the utility pole is:

$25.37/cubic foot × 23.38 cubic feet ≈ $593.96

So the cost of the utility pole is approximately $593.96.

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To represent how much more Company X charges than Company Y for n minutes, we can subtract the total cost of Company Y from the total cost of Company X. The expression that represents this is (35 + 5n) - (20 + 4n) cents. Simplifying this expression yields 15 + n cents.

To find how much more Company X charges than Company Y for n minutes, we need to calculate the difference in their total costs. For Company X, it costs 35 cents to connect and an additional 5 cents for each minute, resulting in a total cost of (35 + 5n) cents for n minutes. For Company Y, it costs 20 cents to connect and an additional 4 cents for each minute, giving a total cost of (20 + 4n) cents for n minutes.

To find the difference, we subtract the total cost of Company Y from the total cost of Company X: (35 + 5n) - (20 + 4n) cents. Simplifying this expression, we combine like terms and get 15 + n cents. Therefore, the expression (15 + n) represents how much more Company X charges than Company Y for n minutes.

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Answer: 30

Step-by-step explanation:

40 + 8x = 280

-40 -40

8x = 240

___ ____

8 8

X = 30

6.63324958071 is the mean of 2 and

Answer:

2 sqrt(11)

Step-by-step explanation:

To find the geometric mean of two numbers, take the square root

sqrt( 2*22)

sqrt(44)

sqrt(4*11)

2 sqrt(11)

Answer:

yes

Step-by-step explanation:

Answer:

yes y= 3 -2 is linear.

The next three letters in the sequence J F M A M J J A are S, O, N.

To find the next three letters in the sequence J F M A M J J A, we need to identify the pattern or rule that governs the sequence. In this case, the sequence follows the pattern of the first letter of each month in the year.

The sequence starts with 'J' for January, followed by 'F' for February, 'M' for March, 'A' for April, 'M' for May, 'J' for June, 'J' for July, and 'A' for August. The pattern repeats itself every 12 months.

Therefore, the next three letters in the sequence would be 'S' for September, 'O' for October, and 'N' for November.

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The next three letters in the sequence "J F M A M J J A" are "S O N", indicating the months of September, October, and November.

The given sequence "J F M A M J J A" represents the first letters of the months in a year, starting from January (J) and ending with August (A). To find the next three letters in the sequence, we need to continue the pattern by considering the remaining months.

The next month after August is September, so the next letter in the sequence is "S". After September comes October, represented by the letter "O". Finally, the month following October is November, which can be represented by the letter "N".

Therefore, the next three letters in the sequence "J F M A M J J A" are "S O N", indicating the months of September, October, and November.

It is important to note that the given sequence follows the pattern of the months in the Gregorian calendar. However, different cultures and calendars may have different sequences or names for the months.

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Answer:  8.94 is the length of GI

Step-by-step explanation: The two triangles are similar, so the ratios of the sides to each other will be the same.

the unknown length of GI in triangle FIG corresponds to the known length 20 of IH in Triangle GIH, and the known length 4 of side FI in triangle FIG corresponds to GI in Triangle GIH. So the ratio looks like 4:x as x:20

4/x = x/20  multiply both sides by x and 20 to "cancel" the denominators.

20x(4/x) = 20x(x/20)

80 = x²    Calculate the square roots  

√x² = x . √80 = 8.94

Answer:

1 over 4,989,600 That's the answer yw btw

Answer:

∆QRS is an obtuse triangle

Step-by-step explanation:

\(x + 2x + 8x - 40 = 180 \\ 11x = 220 \\ x = 20\)

\( < q = 20 \\ < r = 8(20) - 40 = 120 \\ < s = 2(20) = 40\)

<R = 120° > 90° which makes this an obtuse triangle

The x value for the point located 2/3 the distance from A to B is 2.67. This can be found by calculating the midpoint between A and B, which is (2, 1.5), and then taking 2/3 of the x component (2).

1. Calculate the midpoint between A and B: (0 + 4) / 2 = 2 and (0 + 3) / 2 = 1.5

2. Take 2/3 of the x component of the midpoint: 2/3 * 2 = 2.67

The  value x for the point located 2/3 the distance from A to B can be found using a few simple steps. First, we need to calculate the midpoint between A and B. This can be done by adding the x and y components of the two points and then dividing by 2. For our points A and B, this gives us the midpoint (2, 1.5). Now, we need to take 2/3 of the x component of the midpoint (2). This gives us 2/3 * 2 = 2.67. This means that the x value for the point located 2/3 the distance from A to B is 2.67. This process can also be used to determine the y value for the point, which is 1.

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Answer:

5% of 40 = 20

Step-by-step explanation:

To find 5% of 40, you can turn the 5% to 0.5, and the "of" means multiplication.

So, in turn you would have:

0.5 x 40 = 20

Hey there!

Answer:

There isn't any options to choose from, however an equivalent expression to the given expression above would be \(13h\).

Hope this helps! If not, comment below and lmk what else I can do to better assist you.

Using Percentage concept, Kareem had $7939 at the end of last year

Percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate percent of a number, divide the number by the whole and multiply by 100. Hence, the percentage means, a part per hundred. The word per cent means per 100. It is represented by the symbol “%”.

In this problem, we could attempt to use reverse of simple interest formula, however, we can directly find 6.6% of 8500 and subtract it from the principal.

This is calculated as;

6.6/100 = x / 8500

0.066 = x / 8500

x = 8500 * 0.06

x = 561

The investment decreased by $561

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Answer:

She will give 78 students to the sixth student.

Step-by-step explanation:

The pattern is adding 6 each time.

Scales on a wall, change of units conversion

1 inch = 4 1/2 feets

7 1/8 inches = ?

First convert to fractions

(4 + 1/2) • ( 7 + 1/8) =

apply distributive law ( a+b)•(c+d)= ac + ad + bc + bd

then length of wall= 4•7 + 4/8 + 7/2 + 1/16

= 28 + 8/16 + 56/16 + 1/16

= 28 + 64/16 + 1/16

= 28 + 4 + 1/16

= 32 + 1/16

lenght is 32 and 1/16 feet

Answer:

C

Step-by-step explanation:

it says thousandths and a number group with a th at the end is on the right of the decimal.

Answer:

C: 0.342

Step-by-step explanation:

Here's how it works:

.(tenth)(hundredth)(thousandth)

Therefore,

"Three hundred forty-two thousandths" is 0.342.

The most direct way to measure how dispersed a set of scores is, is by using the range. The range is calculated by subtracting the lowest score from the highest score in the dataset, which gives a quick and easy measure of the spread of the scores.

However, the range can be influenced by extreme scores and may not provide a complete picture of the variability. Other measures of variability, such as the standard deviation and variance, take into account the variability of all scores in the dataset and provide a more robust measure of variability.

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When we're working with quantitative data, we use a histogram to show the distribution of the data. A histogram is a graph that shows the number of times that a certain value, or range of values, appears in a dataset.

A histogram is a type of graph that displays the distribution of data. The graph is made up of a series of rectangles (bars) of equal width. The height of each bar corresponds to the frequency of the data that falls within the class interval associated with that bar. It's important to note that histogram bars are contiguous.A histogram is used to display the distribution of continuous data. A histogram is a graph that shows the distribution of a continuous variable using a bar graph with bars representing the frequency of a range of values. It's suitable for data that is continuous, meaning it can take any value between the minimum and maximum values.When we're working with a random sample of 60 students from our school about their birth months, a histogram should be used to display the data. We will be looking for a pattern in the distribution of birth months, which will be easy to spot with a histogram.To sum up, a histogram should be used to display the distribution of birth months of a random sample of 60 students from our school.

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Della was crying because she doesn't have enough money to brought the present for her husband Jim.

Basically, the O Henry's story of "The gift of Magi" has the central them as Love. In this story, he sets up a contrasted picture in life- love among the ruins- the acute poverty in the family and the sacrifice of the greatest possessions of the family.

In this stage he defines how their possession has helped Jim and Della, that's the hero and heroine to conquer poverty they were in.

Now, the reason behind Della's cry was she had only one dollar and eighty seven cents and with this small amount she could not buy a good present for her dear husband.

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Answer:

240cm³

Step-by-step explanation:

To find our answer we will multiply the volume, width, and height.

4 · 20 · 3 = 240.  Therefore, 240cm³ is our answer.  

Have a good day!

\(\qquad\qquad\huge\underline{{\sf Answer}}\)

Let's calculate its volume ~

Volume of a rectangular prism is :

\(\qquad \sf  \dashrightarrow \:v = l \cdot w\cdot h\)

\(\qquad \sf  \dashrightarrow \:v = 20 \cdot 4\cdot 3\)

\(\qquad \sf  \dashrightarrow \:v = 240 \: \: cm {}^{3} \)

The given system of equations do not have a solution since their related line equations have the same slope.

The given system of equations is:

-x + 5y = 3   .......... (1)

2x - 10y = 4   ........(2)

In Equation (1), add both sides by (-5y)

-x + 5y + (-5y) = 3 + (-5y)

-x = -3 - 5y

Multiply by (-1)

x = 3 + 5y

Substitute x = 3 + 5y into equation (2)

2x - 10y = 4

2.(3 + 5y) - 10y = 4

6 + 10y - 10y = 4

6 = 4 (False)

Since the last equation is false, we might suspect that the given system of solution does not have solutions.

We need to check the slope of both equations:

-x + 5y = 3

⇒ 5y = x + 3

⇒ y = 1/5 x + 3/5

2x - 10y = 4

⇒ -10 y = -2x + 4

⇒ y = (2/10) x - 4/10

⇒ y = 1/5 x - 2/5

We can see that both equations have the same slope, i.e. 1/5.

Hence, they do not have solutions since the lines are parallel to each other.

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Answer:

7

Step-by-step explanation:

As we want to find the whole number, and to do so we divide the numerator by the denominator. Since we are only interested in whole numbers, we ignore any numbers to the right of the decimal point.

21/3 = 7