This diagram is a straightedge and compass construction. A is the center of one circle, and B
is the center of the other. Select all the true statements.
a. AC = BC
b. AC = BD
C. CD = AB
d. ABCD is a square
e. ABD is an equilateral triangle
f. CD = AB + AB

This Diagram Is A Straightedge And Compass Construction. A Is The Center Of One Circle, And Bis The Center

Answers

Answer 1

Answer:

Correct choices are a, b, e

Step-by-step explanation:

As per diagram, the circles are equal.

Since the distance AB is the radius of both circles:

AB = AC = BC = BD = AD = r

So the answer choices:

a. AC = BC

Correct, both equal to r

b. AC = BD

Correct, both equal to r

C. CD = AB

Incorrect. Half of CD is the leg of 30-60-90 triangle and is equal to  r√3/2, so CD = AB√3

d. ABCD is a square

Incorrect. ACBD is rhombus

e. ABD is an equilateral triangle

Correct, all three sides are equal to r

f. CD = AB + AB

Incorrect as CD = AB√3
This Diagram Is A Straightedge And Compass Construction. A Is The Center Of One Circle, And Bis The Center

Related Questions

Tekan-Tekan Sdn. Bhd. has order for 200 Model AS-120 calculator for delivery on day 200. The calculator consists of three parts. Components 2 and 3 form subassembly 1 . Sub-assembly 1 and component 4 form the final assembly. Following are the work centers and times of each operation. Table Q3(a) shows routine file of the operation. Assuming: - Only one machine is assigned to each operation - The factory works on 8-hour shift, 5 days a week - All parts move in one lot of 200. (a) Illustrate the backward schedule based on the information given above. (12 marks) (b) Identify when component 3 must be started to meet the delivery date. (2 marks)

Answers

Component 3 must be started on day 197 to meet the delivery date of day 200.

To illustrate the backward schedule, we need to start from the delivery date (day 200) and work our way backward, taking into account the lead times and dependencies of each operation.

(a) Backward schedule:

Operation    |  Work Center  |  Time (hours)  |  Start Day

--------------------------------------------------------

Final Assembly |   Work Center 1  |        1       |     200

Sub-assembly 1 |   Work Center 2  |        2       |     199

Component 4     |   Work Center 3  |        3       |     197

Component 2     |   Work Center 4  |        4       |     196

Component 3     |   Work Center 5  |        3       |     ????

(b) To identify when component 3 must be started to meet the delivery date, we need to consider its dependencies and lead times.

From the backward schedule, we see that component 3 is required for sub-assembly 1, which is scheduled to start on day 199. The time required for sub-assembly 1 is 2 hours, which means it should be completed by the end of day 199.

Since component 3 is needed for sub-assembly 1, we can conclude that component 3 must be started at least 2 hours before the start of sub-assembly 1. Therefore, component 3 should be started on day 199 - 2 = 197 to ensure it is completed and ready for sub-assembly 1.

Hence, component 3 must be started on day 197 to meet the delivery date of day 200.

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A hiker is 15 feet above sea level. A diver is 11 feet below sea level .What is the distance between them?

Answers

Answer:

15-11=4 feet

Step-by-step explanation:

Find the relative rate of change, f'(t) f(t) of the function f(t) = 5e6t f'(t) f(t) =

Answers

The relative rate of change of f(t) at t=0 is 0. This means that at t=0, the function f(t) is not changing with respect to time.


To find the relative rate of change, we first need to find the derivative of the function f(t) = 5e^(6t) with respect to t. The derivative, f'(t), can be found using the chain rule:

f'(t) = 5 * 6 * e^(6t) = 30e^(6t)

Now, we can find the relative rate of change by dividing f'(t) by f(t):

Relative rate of change = f'(t) / f(t) = (30e^(6t)) / (5e^(6t))

Simplifying the expression, we get:

Relative rate of change = 6

So, the relative rate of change of the function f(t) = 5e^(6t) is 6.

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Find the measure of the missing angles.

Find the measure of the missing angles.

Answers

Answer:

x= 29 and y= 90 i hope this helps

what is an equation of the parabola with vertex at the origin and focus (-5 0)

Answers

The parabola is symmetric with respect to the y-axis, and its shape and size are determined by the coefficient of x, which in this case is 20.

The equation of a parabola with its vertex at the origin can be expressed as y² = 4px, where p is the distance from the vertex to the focus. In this case, the focus is located at (-5, 0), which means the distance from the vertex to the focus is 5 units. Substituting the values into the equation, we get:

y² = 4(5)x

Simplifying further:

y² = 20x

Therefore, the equation of the parabola with vertex at the origin and focus (-5, 0) is y² = 20x.

This equation represents a parabola that opens to the right, with the vertex at the origin (0, 0). The focus is situated 5 units to the left of the vertex along the x-axis. The directrix of the parabola is a vertical line 5 units to the right of the vertex, given by the equation x = 5.

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2 times what gives you 16

Answers

Answer:

8

Step-by-step explanation:

2x = 16

2x/2 = 16/2

x = 8

Answer:

2 time 4 gives you 16

plz check

A half dozen cupcakes cost $15 what constant of proportionality relates the number of cupcakes and total cost.

Answers

Answer:

k = 2.5

Step-by-step explanation:

The constant of proportionality k is the unit cost

k = $15 ÷ 6 = 2.5

determine the scalar product of a=6 i 4 j -2 k and b = 5 i – 6 j -3 k.

Answers

The scalar product of vectors a = 6i + 4j - 2k and b = 5i - 6j - 3k is 12.

To determine the scalar product (dot product) of two vectors a and b, which are given as

a = 6i + 4j - 2k and

b = 5i - 6j - 3k, follow these steps:

Write down the vectors a and b, with their corresponding components:

Vector a: 6i + 4j - 2k

Vector b: 5i - 6j - 3k

Multiply the corresponding components of the vectors:

Multiply the i-components: 6 * 5 = 30

Multiply the j-components: 4 * -6 = -24

Multiply the k-components: -2 * -3 = 6

Sum up the results from step 2:

30 + (-24) + 6 = 12

The obtained value is the scalar product of vectors a and b.

Therefore, the scalar product of vectors a = 6i + 4j - 2k and

b = 5i - 6j - 3k is 12. The scalar product represents the product of the magnitudes of the vectors and the cosine of the angle between them. In this case, the scalar product is a numerical value that indicates the degree of alignment or orthogonality between the vectors a and b.

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Find the slant height of a cone that has a lateral area of 320π cm2 and diameter of 20 cm.

Answers

The slant height of a cone that has a lateral area of 320π cm² and diameter of 20 cm is 32 cm.

Lateral area of a cone:

The lateral area of a cone can be described as follows:

Lateral area = πrl

where

r = radius

l = slant height

Therefore,

r = 20 / 2 = 10 cm

l = ?

lateral area = 320π cm²

320π = π × 10 × l

320π = 10πl

divide both sides by 10π

l = 320π / 10π

l = 32 cm

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HELP ASAP!!

the two rectangular prisms shown have bases with the same area. Which statement is true?

HELP ASAP!!the two rectangular prisms shown have bases with the same area. Which statement is true?

Answers

I would say A. The volume of prism z is 4 times the prims y, and they are similar.

4 x6 is 24
They are similar
That’s really all you need to know.
Hope this helps!
- Pam Pam

Answer: It is B

Step-by-step explanation:

imaging that you are comparing the differences in wingspan between male and female bats. what does it mean to have statistical significance? what statistical analysis would you use?

Answers

Statistical significance quantifies whether a result could have come about by chance or if it was caused by the relevant variable.

Define statistics.

As opposed to methods for gathering statistical data, mathematical statistics is the application of probability theory, a subfield of mathematics, to statistics. The study of data gathering, analysis, interpretation, presentation, and organization is known as statistics. In other words, gathering and summarizing data is a mathematical discipline. Additionally, statistics might be considered a subfield of applied mathematics.

Given,

Comparing the differences in wingspan between male and female bats.

Statistical significance quantifies whether a result could have come about by chance or if it was caused by the relevant variable.

Given that the outcomes are grouped into a single categorical variable, it is possible to apply confidence intervals in this situation.

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A region where there’s a large amusement park is experiencing a heat wave. officials at the park created a scatter plot showing the number of visitors in the park requiring first aid during the heat wave. which function best models the given data? a. y = -2x2 20x 60 b. y = -3x2 25x 60 c. y = -5x2 50x − 13 d. y = -x2 20x 60

Answers

The quadratic function that best models the given data is option d: y = -x^2 + 20x + 60 because it is a quadratic function and its graph is a downward-facing parabola.

To determine which function best models the given data, we will analyze the options and evaluate their fit based on the information provided.

\(Option a: y = -x^2 + 20x + 40Option b: y = -2x^2 + 20x + 60Option c: y = x^2 + 20x + 60Option d: y = -x^2 + 20x + 60\)

We will compare the options based on their general form and characteristics to see which one aligns best with the given data.

1. Quadratic form: All the options are quadratic functions in standard form, y = ax^2 + bx + c, which is suitable for modeling a parabolic relationship.

2. Coefficients: Let's compare the coefficients a, b, and c for each option:

  Option a: a = -1, b = 20, c = 40

  Option b: a = -2, b = 20, c = 60

  Option c: a = 1, b = 20, c = 60

  Option d: a = -1, b = 20, c = 60

  Among these options, we notice that options a, b, and d share the same coefficient values for a and b, while option c has a different value for a. Since the coefficients a and b are the same for options a, b, and d, we will focus on those.

3. Vertex and concavity: The vertex of a quadratic function in standard form is given by (-b/2a, f(-b/2a)), where f(x) represents the function. The concavity of the parabola can be determined by the sign of the coefficient a.

  For options a, b, and d, the vertex is (10, f(10)) since b = 20 and a = -1 for these options.

  Option a: Vertex (10, f(10))

  Option b: Vertex (10, f(10))

  Option d: Vertex (10, f(10))

  Since the coefficient a is negative in all three options, the parabolas will have a downward-facing concavity.

4. Evaluation: Based on the above analysis, we can conclude that options a, b, and d have similar characteristics and share the same vertex at (10, f(10)). However, option c differs from the others in terms of its coefficient a and does not match the given data as closely.

Therefore, the quadratic function that best models the given data is option d: y = -x^2 + 20x + 60 because it is a quadratic function and its graph is a downward-facing parabola.

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The best function that models the given data is y = -x^2 + 20x + 60.

The best function that models the given data of the number of visitors in the park requiring first aid during the heat wave is option d. \(y = -x^2 + 20x + 60\).
To determine the best function, we need to consider the characteristics of the scatter plot. The function that models the data should exhibit a downward-opening parabolic shape because the number of visitors requiring first aid decreases as the number of visitors increases.

Looking at the options, we can see that option d is the only one that represents a downward-opening parabola. The negative coefficient of \(x^2\)(-1) ensures that the parabola opens downwards.
The coefficient of x in option d (+20) indicates that the parabola is shifted 20 units to the right. This makes sense because as the number of visitors increases, the number requiring first aid also increases, indicating that the peak of the parabola occurs at a higher number of visitors.
The constant term (+60) represents the y-intercept, which is the value of y when x is 0. In this case, it represents the initial number of visitors requiring first aid.

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write an algebraic expression for the phrase the product of g and 4

Answers

Product is the answer to a multiplication problem so we multiply g and 4.

4xg or 4(g). Or even simpler, you could do 4g.

hope it helps!

Osteoporosis is a degenerative disease that primarily affects women over the age of 60. A research analyst wants to forecast sales of StrongBones, a prescription drug for treating this debilitating disease. She uses the model sales = Bo + B1Population + B2Income + ɛ, where Sales refers to the sales of StrongBones (in $1,000,000s), Population is the number of women over the age of 60 (in millions), and Income is the average income of women over the age of 60 (in $1,000s). She collects data on 25 cities across the United States and obtains the following regression results: Intercept Population Income Coefficients 10.32 8.10 7.55 Standard Error 3.94 2.39 6.45 t Stat 2.62 3.38 1.17 p-Value 0.0256 0.0431 0.3626 a. What is the sample regression equation? (Enter your answers in millions rounded to 2 decimal places.) Sales = + Population + Income b-1. Interpret the coefficient of population.b-2. Interpret the coefficient of income.
c. Predict sales if a city has 1.0 million women over the age of 60 and their average income is $42,000.

Answers

The required answer is the predicted sales in this city would be $335.52 million.

a. The sample regression equation is:
Sales = 10.32 + 8.10(Population) + 7.55(Income)


b-1. The coefficient of population (8.10) represents the change in sales (in $1,000,000s) for every additional one million women over the age of 60. In other words, if the population of women over 60 increases by 1 million, the sales of Strong Bones will increase by $8.10 million.

The regression analysis is a set of statistical processes of the relationship is dependent variable and one or more independent variables .In this find the line and the most closely fits the data. This is widely used for the predication or forecasting.

b-2. The coefficient of income (7.55) represents the change in sales (in $1,000,000s) for every additional $1,000 increase in the average income of women over the age of 60. So, if the average income of women over 60 increases by $1,000, the sales of Strong Bones will increase by $7.55 million.
c. To predict sales if a city has 1.0 million women over the age of 60 and their average income is $42,000, substitute the given values into the regression equation:
Sales = 10.32 + 8.10(1) + 7.55(42)
Sales = 10.32 + 8.10 + 317.10
Sales = 335.52

The predicted sales in this city would be $335.52 million.

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3x-4y=-14 6x+3y=27 don’t understand how to solve

Answers

tama Ang kanyang sagot

. use de morgan’s laws to find the negation of each of the following statementsMei will run or walk to the gym tomorrow.
Propositional logic : Step 1 : r : Mei will run to the gym tomorrow. w : Mei will walk to the gym tomorrow.

Answers

The negation of the given statement is ¬(r ∨ w) which is ¬r ∧ ¬w.

Given statement: Mei will run or walk to the gym tomorrow. Propositional logic:

Step 1: r: Mei will run to the gym tomorrow. w: Mei will walk to the gym tomorrow.

Step 2: The given statement can be rewritten in the form: r ∨ w.

Step 3: The negation of the given statement is ¬(r ∨ w). Using De Morgan's Laws, we can write the negation as ¬r ∧ ¬w.

Main Part: ¬(r ∨ w)

Explanation: We know that the negation of a disjunction is the conjunction of the negations of the disjuncts. So, the negation of the given statement r ∨ w is ¬r ∧ ¬w. The negation of the given statement "Mei will run or walk to the gym tomorrow" is "Mei will not run and will not walk to the gym tomorrow."

Conclusion: Therefore, the negation of the given statement is ¬(r ∨ w) which is ¬r ∧ ¬w.

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identify the figure with the vertices A (3,5) B (3,1) C (0,1)

Answers

Answer:

It makes a right traiangle.

Step-by-step explanation:

Graph the points and you will see that it makes a right triangle.

The figure formed by the vertices A(3,5), B(3,1), and C(0,1) is a right-angled triangle.

In this triangle, side BC is the shortest side with a length of 3 units, side AB is the longest side with a length of 4 units, and side AC has a length of 5 units.

The right angle is formed between side BC and side AC at point C (0,1).

Here, we have to identify the figure with the given vertices A (3,5), B (3,1), and C (0,1), we can plot these points on a coordinate plane.

Let's plot the points A(3,5), B(3,1), and C(0,1) on a Cartesian coordinate plane.

A(3,5): This point is located at x-coordinate 3 and y-coordinate 5.

B(3,1): This point is located at x-coordinate 3 and y-coordinate 1.

C(0,1): This point is located at x-coordinate 0 and y-coordinate 1.

Since point A and point B share the same x-coordinate (x = 3), they lie on a vertical line. Point C has a different x-coordinate, so we need to connect it with the others to complete the figure.

The figure formed by connecting the points A, B, and C is a right-angled triangle.

To calculate the distances between the vertices, we'll use the distance formula:

Distance between two points \((x_1, y_1)\) and \((x_2, y_2)\) is given by:

Distance = √\(((x_2 - x_1)^2 + (y_2 - y_1)^2)\)

Let's calculate the distances:

Distance between A(3,5) and B(3,1):

Distance_AB = √\(((3 - 3)^2 + (1 - 5)^2)\)

Distance_AB = √(0 + 16)

Distance_AB = √16

Distance_AB = 4 units

Distance between A(3,5) and C(0,1):

Distance_AC = √\(((0 - 3)^2 + (1 - 5)^2)\)

Distance_AC = √\(((-3)^2 + (-4)^2)\)

Distance_AC = √(9 + 16)

Distance_AC = √25

Distance_AC = 5 units

Distance between B(3,1) and C(0,1):

Distance_BC = √\(((0 - 3)^2 + (1 - 1)^2)\)

Distance_BC = √\(((-3)^2 + 0^2)\)

Distance_BC = √9

Distance_BC = 3 units

As we calculated, the distances between the vertices of the figure are:

AB = 4 units

AC = 5 units

BC = 3 units

Based on the distances, we can determine that the figure formed by the vertices A(3,5), B(3,1), and C(0,1) is a right-angled triangle.

In this triangle, side BC is the shortest side with a length of 3 units, side AB is the longest side with a length of 4 units, and side AC has a length of 5 units.

The right angle is formed between side BC and side AC at point C (0,1).

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suppose, for some two-sided hypothesis test with a sample size of 25, that the probability of a type ii error is 0.20. how will the probability of a type ii error change if sample size is increased to 35, but nothing else changes about the hypothesis test?

Answers

Increasing the sample size from 25 to 35, while keeping all other factors constant in a two-sided hypothesis test, will decrease the probability of a type II error. However, the extent of the decrease will depend on various factors such as the effect size, significance level, and power of the test.

If nothing else changes about the hypothesis test except the sample size, increasing the sample size from 25 to 35 will generally reduce the probability of a type II error.

This is because as the sample size increases, the standard error of the estimate decreases and the test becomes more powerful, making it more likely to reject the null hypothesis when it is false (i.e., reduce the probability of a type II error).

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Help?? The answer isn't -1026 btw i already guessed :(

Help?? The answer isn't -1026 btw i already guessed :(

Answers

Answer:

153

Step-by-step explanation:

12² - 3 [ 4(\(\frac{1}{4}\) - \(1^{8}\) ) ] ← evaluate the inside part of the bracket

= 144 - 3 [ 4(\(\frac{1}{4}\) - 1) ]

= 144 - 3 [ 1 - 4 ]

= 144 - 3(- 3)

= 144 + 9

= 153  

What is the value of x in the equation –6 + X = -4? ​

Answers

Answer:

um is like x an number if so it woukd be 2

Step-by-step explanation:

analytics is often described as the study of historical data to

Answers

Therefore, analytics is a critical tool for businesses and organizations looking to gain a competitive advantage and improve their operations.

Analytics is often described as the study of historical data to extract insights and make informed decisions. It involves the collection, processing, and analysis of data to discover patterns, identify trends, and gain insights into business operations. By examining data sets, analytics can help businesses identify areas of improvement, optimize performance, and increase efficiency. Analytics tools and techniques can be used across many different fields, including finance, marketing, healthcare, and sports. In finance, analytics can be used to analyze market trends and predict future outcomes. In marketing, analytics can help businesses identify customer behavior patterns and optimize marketing campaigns. In healthcare, analytics can help identify patterns in patient data and improve healthcare outcomes. In sports, analytics can be used to analyze player performance and predict game outcomes.

Therefore, analytics is a critical tool for businesses and organizations looking to gain a competitive advantage and improve their operations.

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Office Supplies: The Office Supplies account started the year with a $4,000 debit balance. During the year, the company purchased supplies for $13,400, which added to the Office Supplies Account. The inventory of supplies available at the end of the year totaled $2,554.1. The beginning balance of Office Supplies: 2. The amount to be adjusted (show your calculation): 3. The ending balance of the account after the adjustment (show your calculation):4. Adjusting Journal Entry (please include description): Date Account Debit Credit

Answers

1.The beginning balance should be $4,000

2.The amount to be adjusted is $2554

3.The ending balance of the account after the adjustment $2554

4. Office Supplies Account is $14846

Adjusting entry:

An adjusting entry is an additional journal entry that is made at the end of the month or year. When any financial transaction is incurred for which the amount is not accrued yet or no financial transaction incurred for the accrued amount and in such case the adjusting entry is made to know the actual amount accrued in the month or year.

The adjustment entries are the additional entries to the recorded journal entries.

"Information available from the question"

The Office Supplies account started the year with a $4,000 debit balance

The company purchased supplies for $13,400,

The inventory of supplies available at the end of the year totaled $2,554.

Now, According to the question:

1. The beginning balance should be $4,000

2.The adjusted amount is

Opening balance = 4000

Add: New purchases = 13400

Balance after Purchase = 17400

Less: Year end balance = 2554

3. The ending balance is $2,554

4. The adjusting journal entry is

Dr. Supplies Expense Account is 14846

Adjustment in the year = Cr. 14846 (subtracted from the balance)

Office Supplies Account is 14846

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PLS HELP ME I WiLL MARK THE BRAINLIEST!!!!!!!

PLS HELP ME I WiLL MARK THE BRAINLIEST!!!!!!!
PLS HELP ME I WiLL MARK THE BRAINLIEST!!!!!!!
PLS HELP ME I WiLL MARK THE BRAINLIEST!!!!!!!
PLS HELP ME I WiLL MARK THE BRAINLIEST!!!!!!!
PLS HELP ME I WiLL MARK THE BRAINLIEST!!!!!!!

Answers

Answer:

For number 3 it going to be

13.3 mm 16 mm 20.5 mm V = mm 3

And S.A. = A mm? %3D

For number 2 it going to be V= 955.04 sq. yd

TOTAL 428.04 sq.yd

Step-by-step explanation:

Sorry i couldnt do the others but hope this helps with some of the answers

i only did No(2) and No(3)

What is the x-coordinate of ( 5,6 )
please answer me

Answers

5 would be your x coordinate because remember coordinates are written in (x,y)

simplify
-3c+5d+3c-d

Answers

Answer:

\(4d\)

-3x+3c+5d-d

=0+4d

=4d

Answer:

4d

Step-by-step explanation:

-3c+5d+3c-d

=-3c+3c+5d-d

=4d

Can someone Help me please!!!!

Can someone Help me please!!!!

Answers

1) undefined

Vertical lines have undefined slope.

2) 2

Isolating y, we get y=2x-6, and thus the slope is 2.

3) 0

Since the y-coordinate is constant, the slope is 0.

4) -3

(-2-7)/(4-1) = -3

What is the solution to the equation? 3(x + 2) - 4 = 2(x - 1) + 5 O A. x = 1 B. X = 2 O C. X = 5 OD. x = 6​

Answers

3x+6-4=2x-2+5
3x+2=2x+3
x=1

Solve for x...........................................................

Solve for x...........................................................

Answers

Answer:

x = 2 or -2

Step-by-step explanation:

This is a regular hexagon

To find the value of x we will have to find the sum of interior angles first and to do that:

(n-2)*180 (n is the number of angles)

(6-2)*180 = 720 is the sum of all six angles

since this is a regular hexagon, all angles has equal measures so

720/6 = 120 now

30x^2 = 120 divide both sides by 30

x^2 = 4 find the root of both sides

x = 2 or -2

How can you decompose the composite figure to determine its area? as a circle, three rectangles, and a triangle as a circle, a trapezoid, and four triangles as a semicircle, three rectangles, and a square as a semicircle, a trapezoid, and two rectangles.

Answers

Answer:

The best way to decompose the composite figure to determine its area is as a semicircle, a trapezoid, and two rectangles. This way, we can use the following formulas to find the area of each part:

Area of a semicircle = 21​πr2, where r is the radius of the circle.

Area of a trapezoid = 21​(b1​+b2​)h, where b1​ and b2​ are the bases and h is the height of the trapezoid.

Area of a rectangle = l×w, where l is the length and w is the width of the rectangle.

Then, we can add up the areas of each part to find the total area of the composite figure. The other options are not as convenient because they either involve more parts or more complicated shapes. For example, option A would require finding the area of a triangle, which involves using trigonometry or the Pythagorean theorem. Option B would require finding the area of four triangles, which is more tedious than finding the area of two rectangles. Option C would require finding the area of a square, which is redundant because a square is a special case of a rectangle.

Step-by-step explanation:

The composite figure can be decomposed into a semicircle, a trapezoid, and two rectangles.

Option D is the correct answer.

What is a trapezium?

It is a quadrilateral that has one pair of parallel sides and a height.

The area is calculated as: 1/2 x sum of the parallel sides x height.

Examples:

Area of a trapezium that has the parallel sides as 3 cm and 4 cm and a heght o 5 cm.

Area = 1/2 x (3 + 4) x 5

Area = 1/2 x 7 x 5

Area = 35/2 = 17.5 cm^2

We have,

The given figure can be decomposed into the following figure.

- Semicircle

- Trapezoid

- Two rectangles

Thus,

A semicircle, a trapezoid, and two rectangles.

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How can you decompose the composite figure to determine its area? as a circle, three rectangles, and

in a time series regression of the excess return of a mutual fund on a constant and the excess return on a market index, which of the following statements should be true for the fund manager to be considered to have beaten the market in a statistical sense? A The estimate for alpha should be positive and statistically significantly greater than the risk-free rate of return The estimate for beta should be positive and statistically significant The estimate for alpha should be negative and statistically significant The estimate for alpha should be positive and statistically significant

Answers

The statements should be true for the fund manager to be considered to have beaten the market in a statistical sense is The estimate for alpha should be positive and statistically significant. The correct answer is D.

The estimate for alpha should be positive and statistically significant for the fund manager to be considered to have beaten the market in a statistical sense.  

Alpha represents the excess return of the mutual fund beyond what can be explained by the market index, and a positive and statistically significant alpha suggests that the fund has outperformed the market.

The other options may not necessarily indicate that the fund has beaten the market in a statistical sense.

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