According to the diagram, which of the following statements about area and perimeter of pentagon ABCDE is true?
A) Area = 25 Perimeter = 20
B) Area = 30 Perimeter = 22.31
C) Area = 33 Perimeter = 12.5
D) Area = 35 Perimeter = 18

According To The Diagram, Which Of The Following Statements About Area And Perimeter Of Pentagon ABCDE

Answers

Answer 1

Answer:

Area = 30 , Perimeter = 22.31 ⇒ Answer (B)

Step-by-step explanation:

* Lets study the figure

- The length of AE = 5

- The length of DC = 3

- The length of BC = 4

- Tho find the length of DE and AB we must use Pythagoras Theorem

∵ The vertical distance of ED = 3 and the horizontal distance = 2

∴ ED = √(3² + 2²) = √13  

- Similar we will find AB

∵ The vertical distance of AB = 6 and the horizontal distance = 3

∴ AB = √(6² + 3²) = √45

* Now we can find its perimeter

- The perimeter = 5 + 4 + 3 + √13 + √45 = 22.31

* to find the area we will divided it into 2 trapezium

- The first one contains E , D , C with point of intersection

 between the vertical axis with side CB

- The lengths of its 2 parallel bases are 3 , 6 and height 2

- The second one contains E , A , B with  point of intersection

 between the vertical axis with side BC

- The lengths of its 2 parallel bases are 2 , 5 and height 6

∵ Area trapezium = (1/2)(b1 + b2) × h

- The area of 1st one = (1/2)(3 + 6) × 2 = 9 units²

- The area of 2nd one = (1/2)(2 + 5) × 6 = 21 units²

∴ The area of the figure = 9 + 21 = 30 units²

* Area = 30 , Perimeter = 22.31


Related Questions

how do you find the area of this

Answers

Answer:

2345 units^2

Step-by-step explanation:

First, you can use Soh Cah Toa to find line c to be 36*sqrt(2). Furthermore, you can use the same equation to find the other sides to be both 65.15. To further solve, you just need to multiply 65.15 by 36 to get a final answer of 2,345.4 units^2

Please Mark Brainliest if this helped!

Show your work, long division only

Answers

Answer:

1.25

Step-by-step explanation:

6x+14x-6x÷4x

10x-8

1.25

what does j divided by 9 is 5 mean

Answers

Answer:

what number divided by 9 is 5? answer is 45

Step-by-step explanation:

Answer:

You must multiply. j = 45

Step-by-step explanation:

If j divided by 9 equals 5 than you must multiply 9 x 5 = j and j = 45

Ratio and Proportion can be used to convert weights between different systems of measurement. True False

Answers

The answer you are looking for is true

Answer:

The answer is true.

Step-by-step explanation:

Ratio and Proportion can be used to convert weights between different systems of measurement. This is true.

When we are given any problem with different measurements, then we should first convert the problem in such a unit that all units are the same.

We can define ratio as a comparison between two numbers.  

Whereas the proportion is a comparison between two ratios.

Julianne and Derek made signs for their school spirit week. Julianne made a sign that is 3 1/2 feet long. Derek made a sign that is 5/6 as long as Julianne’s sign. How long is the sign Derek made?

Answers

Answer:

2 2/3 is what I got

Step-by-step explanation:

subtract 5/6 from 3 1/2

Final answer:

Derek's sign is 2 feet and 11/12 of a foot long, as we multiply 7/2 (Julianne's sign length in improper fraction) by 5/6 (the length ratio of Derek's sign to Julianne's) to get the answer.

Explanation:

To find the length of the sign Derek made, we need to calculate 5/6 of the length of Julianne's sign. Julianne's sign is 3 1/2 feet long. To facilitate the multiplication, we first convert 3 1/2 feet to an improper fraction, which is 7/2 feet.

Now, we multiply 7/2 (the length of Julianne's sign) by 5/6 (the factor by which Derek's sign is shorter).

(7/2) × (5/6) = 35/12 feet

To simplify 35/12, we divide 35 by 12, which equals 2 with a remainder of 11. Therefore, Derek's sign is 2 feet and 11/12 of a foot, or approximately 2.92 feet long.

help I rly need help with me math :)

Answers

Roughly about 25% or 1/4

Which of the following equations is modeled by the graph

Answers

B is the correct answer.

Which of the following tables represents a ratio which is greater than the ratio in the table above?

Answers

Answer:

isk

Step-by-step explanation:

What is the solution to the equation 2/3x+1=1/6x-7?
A. x=-16
B. x=-4
C. x=4
D. =16

Answers

(2/3)x+1=(1/6)x-7

*Isolate the variable by subtracting (1/6)x from both sides*

0.5x+1=-7

*Subtract 1 from both sides*

0.5x=-8

*Divide both sides by 0.5*

A. x=-16

Hope this helps!!

Answer:

A

Step-by-step explanation:

To eliminate the fractions in the equation, multiply all terms by the lowest common multiple of 3 and 6, that is 6

4x + 6 = x - 42 ( subtract x from both sides )

3x + 6 = - 42 ( subtract 6 from both sides )

3x = - 48 ( divide both sides by 3 )

x = - 16

A football team loses 4 yards on one play and 7 yards on another play. Write a sum of negative integers to represent this situation. Find the sum and explain how it is related to the problem.

Answers

Answer:

-11 yards

Step-by-step explanation:

the first loss is represented by -4 and the second loss is represented by -7.

The sum of negative numbers will be:

(-4) + (-7) = -11

The sum of negative integers representing the football team's loss of yards on two plays is -4 + (-7), which equals -11 yards. This represents the total yardage lost by the team.

To represent the football team's loss of yards with a sum of negative integers, we can write -4 (for the loss of 4 yards on one play) and -7 (for the loss of 7 yards on another play). The sum would therefore be -4 + (-7).

When two negative numbers add, the answer has a negative sign. Using this rule, we calculate the sum:

-4 + (-7) = -4 - 7 = -11

The sum of -11 represents the total yardage lost by the football team over the two plays. The team has lost 11 yards in total.

Plz help me !!!!!!!!!!!

Answers

Answer:

Step-by-step explanation:

Only (-3)(-5) = + 15, so the fourth answer is the correct one.

Answer:   [tex]\bold{d.\ \sqrt[3]{-3}\cdot \sqrt[3]{-5} }[/tex]

Step-by-step explanation:

[tex]a)\ \sqrt[3]{-5}\cdot \sqrt[3]{3} =\sqrt[3]{-15}\neq \sqrt[3]{15} \\\\b)\ \sqrt[3]{-15}\cdot \sqrt[3]{1} =\sqrt[3]{-15}\neq \sqrt[3]{15}\\\\c)\ \sqrt[3]{5}\cdot \sqrt[3]{3} =\sqrt[3]{-15}\neq \sqrt[3]{15}\\\\\large{d)\ \sqrt[3]{-3}\cdot \sqrt[3]{-5} =\sqrt[3]{15}= \sqrt[3]{15} }[/tex]

Identify the two solids that create the composite figure shown.
cone
square pyramid
cube
rectangular prism

Answers

if i'm not mistaken, the answer should be square pyramid and rectangular prism.  hope this helps and i apologize if it is incorrect.

What is the simplified form of the following expression?

Answers

Answer:

[tex]\large\boxed{7\sqrt[3]{2x}-3\sqrt[3]{16x}-3\sqrt[3]{8x}=\sqrt[3]{2x}-6\sqrt[3]{x}}[/tex]

Step-by-step explanation:

[tex]7\sqrt[3]{2x}-3\sqrt[3]{16x}-3\sqrt[3]{8x}\\\\=7\sqrt[3]{2x}-3\sqrt[3]{(8)(2x)}-3\sqrt[3]{8x}\qquad\text{use}\ \sqrt[n]{ab}=\sqrt[n]{a}\cdot\sqrt[n]{b}\\\\=7\sqrt[3]{2x}-3\sqrt[3]8\cdot\sqrt[3]{2x}-3\sqrt[3]8\cdot\sqrt[3]{x}\\\\=7\sqrt[3]{2x}-3(2)\sqrt[3]{2x}-3(2)\sqrt[3]{x}\\\\=7\sqrt[3]{2x}-6\sqrt[3]{2x}-6\sqrt[3]{x}\\\\=\sqrt[3]{2x}-6\sqrt[3]{x}[/tex]

suppose you receive a $50 gift certificate to the cityside music and book store. all CDs at the strore cost $9.99, and all books cost $5.99. you want to buy some books and at least one CD.

A. write a system of inequalities for x books and y CDs that describes thia situation

B. graph the system to show all possible solutions

C. what puchase does the ordered pair (2,6) represent? is it a solution to your system? explain.

D. find a solution in which you spend almost all of the gift certificate ​

Answers

A student's question about optimizing spending a $50 gift certificate on books and CDs was addressed by creating a system of inequalities, graphing the possible solutions, explaining why the point (2,6) isn't a solution, and discussing how to almost entirely spend the gift certificate.

Let's address the student's question step by step. Given a $50 gift certificate, a CD costs $9.99 and a book costs $5.99, we need to create a system of inequalities to represent the spending limits with at least one CD purchase (y).

Part A - System of Inequalities

The inequalities can be written as follows:

The total cost of books and CDs must not exceed $50: 5.99x + 9.99y \<= 50

You must buy at least one CD: y \"> or equal to 1

Part B - Graph of the System

Graphing these inequalities will give us a region of possible solutions where any point within that region represents an allowable combination of books (x) and CDs (y).

Part C - Interpretation of the Point (2,6)

The ordered pair (2,6) represents buying 2 books and 6 CDs. To determine if this is a solution, plug the values into the inequalities:

5.99(2) + 9.99(6) = 11.98 + 59.94 = 71.92 which is > 50. So, it's not a solution.

Part D - Maximizing the Gift Certificate

A solution that spends almost all of the gift certificate would be close to the line 5.99x + 9.99y = 50 but does not exceed it. Students would need to find whole number pairs for x and y that satisfy this condition.

Solve step by step
3^(2x+4)=17

Answers

3^(2x+4)=17

We move all terms to the left:

3^(2x+4)-(17)=0

We move all terms containing x to the left, all other terms to the right

3^(2x+4)=17

Which function represents the given graph? f(x) = 100 · ()x f(x) = (100 · )x f(x) = 100 + x f(x) = 100 · ()x

Answers

Answer:

The first one f(x)= 100 · (3/5)^x

Step-by-step ex

Answer:

 A.  f(x)=100 . (3/5)x  

Step-by-step explanation:

Help with this question ??

Answers

Answer:

5

Step-by-step explanation:

The average rate of change of f(x) in the closed interval [ a, b ] is

[tex]\frac{f(b)-f(a)}{b-a}[/tex]

Here [ a, b ] = [ 4, 8 ] and from the graph

f(b) = f(8) = 10

f(a) = f(4) = - 10, hence

average rate of change = [tex]\frac{10-(-10)}{8-4}[/tex] = [tex]\frac{20}{4}[/tex] = 5

a circular native american dwlelling has a diameter of 24 feet. how much are inside the home? use 3.14 for { } (pi)

Answers

Answer :

[tex]A = 452.16 \: {ft}^{2}[/tex]

step-by-step explanation:

From the question,

the diameter:

[tex]d = 24 \: ft[/tex]

The radius :

[tex]r = \frac{diameter}{2}= \frac{24}{2}=12 \: ft[/tex]

[tex]\pi = 3.14[/tex]

Area of a circle is given as

[tex]A = \pi {r}^{2} [/tex]

By substitution,

[tex]A = 3.14( {12}^{2} )[/tex]

[tex]\implies \: A = 3.14 \times 144[/tex]

[tex]\implies \: A = 452.16 \: {ft}^{2} [/tex]

Hence the area of the home is

[tex]A = 452.16 \: {ft}^{2}[/tex]

How much of her long can she mow in 1 hour?

Answers

Answer:

X = 0.5 of her lawn

Step-by-step explanation:

If

1/4  ---> 1/2 hour

X?  ----> 1 hour

Then

X = [1*(1/4)] / 1/2

X = 0.5 of her lawn

Best regards

An airplanes altitude changed -378 feet over 7 minutes. What was the mean change of altitude in feet per minute?

Answers

Answer:

54 feet per minute or -54 feet per minute

Step-by-step explanation:

You can find the mean change of altitude by dividing -378 by 7, which gives you -54.

A couple of college students frustrated with the current class registration process decide to survey 500 random students on campus they find that 84% are also dissatisfied what is the standard deviation of this binomial distribution
a. 8.2
b. 420.0
c. 67.2
d. 0.1

Answers

♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫

Standard deviation = [tex]\sqrt{(n*p)(1 - p)}[/tex]

Substitute the values in:

[tex]\sqrt{(500 *0.84)(1-0.84)}[/tex] = 8.1975...

This can be rounded to give an approximate answer of 8.2

The answer is option A.

Hope This Helps You!

Good Luck (:

Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ

What do you think a fourth root or a fifth root is? Explain your reasoning with an example.

Answers

Answer:

A fourth root is a number when multiplied by itself 4 times is equal to the starting number. x^4=Y The fourth root of Y= x

Step-by-step explanation:

Can the following question be considered a statistical question and why or why not?

Do students at Bryan Middle School exercise?

Yes, it specifies the population
No, it does not specify the population
Yes, it anticipates enough variability in responses
No, it does not anticipate enough variability in responses

I'm giving 25 points for this since the people who answered last question similar to this were not smart enough to ask the bloody question maker to add the answers for the multiple choice.

Answers

No it is not, because although it specifies the population, it does not anticipate variability in responses. It is phrased as if the answer is going to be yes or no (100% or 0%), when in reality some students will exercise and some will not.

Final answer:

The question 'Do students at Bryan Middle School exercise?' is not a statistical question because it is a yes/no question that does not anticipate enough variability in responses. A statistical question would allow gathering of varied data which could be analyzed for patterns and insights.

Explanation:

Whether the question "Do students at Bryan Middle School exercise?" can be considered a statistical question depends on its potential to produce a variety of results that can be analyzed. Statistical questions anticipate variability in responses and usually involve a degree of uncertainty that can be measured and analyzed.

To evaluate the provided question, it does specify a population, which is the students at Bryan Middle School. However, the question, as it stands, is a yes/no question and does not necessarily anticipate enough variability in responses. A richer statistical question would allow us to collect data that varies among individuals and potentially reveals patterns, such as "How many hours per week do students at Bryan Middle School exercise?"

Therefore, the answer is 'No, it does not anticipate enough variability in responses.' It is essential in research methods and methodologies to ask questions that lead to data that can be used for meaningful analysis and inference.

what is 24 + 68 + 1032​

Answers

Answer:1124

Step-by-step explanation:

♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫

➷ 24+68+1032

First:

Add 24 and 68

24+68=92

Next add 92 to 1032

92+1032=1,124

Final answer:

1,124

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

TROLLER

which step should be used to prove that point P is equidistant from points R and Q

Answers

Step-by-step explanation:

1.  If any one side and any one common angle are equal in triangles PQR and PRS, then their corresponding sides are also equal.

2. If two sides and one included angle are equal in triangles PQS and PRS, then their third sides are equal.

3.  In triangles PQR and PQS, if one side and one angle are equal, then their corresponding sides and angles are also equal.

4. In triangles PRS and PQS, all three angles are equal.

what is 550% as a fraction or mixed number

Answers

The answer below are. Fraction: 11/2, Mixed number: 5 1/2, Decimal: 5.5

Answer:

11/2 = 5 1/2

Step-by-step explanation:

With the information which of these conclusions is reasonable

Answers

Answer:

the variability of tempuratures in town A and town B was the same

whats the surface area of the cube ​

Answers

Answer:

93.75 cm²

Step-by-step explanation:

The linear ratio = 1 : 2.5

The area ratio = 1² : 2.5² = 1 : 6.25

surface area = 15 × 6.25 = 93.75 cm²

The answer is 93.75 cm squared.

Which of the following graphs decreases at first until it reaches a minimum, and then increases thereafter?

A. W
B. Y
C. Z
D. X

Answers

the answer is Z. you can see the graph decrease first then increasing

QUICKKKKKK 12 points !!!

Which of the following equations best represents the trend line for the scatter plot shown below

- Y= 1/3x+8
- Y=3x+5
- Y= 3x+8

Answers

Answer:

y = 3x + 5

Step-by-step explanation:

First start  at your y intercept (5) and use the rise to run ratio (rise 3, run 1) and there is a point on every single one.

1/3 wouldn't work because you rise 1 and go right 3 and that does not match any of the points

Using the two points first gives us a slope of 3

(1, 8) (2, 11)

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

m = (11 - 8)/(2 - 1)

m = 3/1

m = 3

We also know that 8 cannot be the intercept being as it is the point at x = 1. Therefore, we know that y = 3x + 5 must be the only possible answer.

Answer:

The answer is B. y = 3x+5

Step-by-step explanation:

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