What is the area of the polygon enter your answer in the box

43.5 units2
45.5 units2
56.5 units2
49.5 units2

What Is The Area Of The Polygon Enter Your Answer In The Box43.5 Units245.5 Units256.5 Units249.5 Units2

Answers

Answer 1

Answer:

Option (1)

Step-by-step explanation:

Area of the polygon = Area of CDE + Area of EFG + Area of ABCF

Area of triangle CDE = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]

                                   = [tex]\frac{1}{2}(3)(2)[/tex]

                                   = 3 units²

Area of ΔCDE = [tex]\frac{1}{2}(5)(1)[/tex]

                       = 2.5 units²

Area of trapezoid ABCF = [tex]\frac{1}{2}(b_1+b_2)h[/tex]

                                        = [tex]\frac{1}{2}(8+11)(4)[/tex]

                                         = 38 units²

Area of the given polygon = 3 + 2.5 + 38

                                            = 43.5 units²

Therefore, Option (1) will be the correct option.

What Is The Area Of The Polygon Enter Your Answer In The Box43.5 Units245.5 Units256.5 Units249.5 Units2

Related Questions

1. Find the value of x and round to the nearest tenth
2. Find the value of y and round to the nearest tenth.

Answers

Answer :

Measure of x :

[tex]\longrightarrow4 \sqrt{5} \: \: units[/tex]

Measure of y :

[tex]\longrightarrow8 \sqrt{5} \: \: units[/tex]

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Need help !!!!!!!!!!!!!!!!! This is a shape that is required to be broken up into multiple parts to find the total volume.
What is the total volume of this shape?

Answers

the total volume is 102!

What scale factor is shown by this graph?
4
1/2
2
1

Answers

Answer:

If it's AL to A'L' then its 1/2

If it's A'L' to AL then its 2

#4. Find the missing angle measures

Answers

Answer:

Step-by-step explanation:

x = 55

x + 55 = 110

x + 20 = 75

x + 65 = 120

Answer:

x°=130°

The sum of two opposite angles in a quadrilateral is 180

⇒x+55°+x+65°=180°

⇒2x+120°=180°

⇒2x=60°

⇒x=30°

Có x+20 °+x°=180°

⇒30°+20°+x°=180°

⇒x°=130°

solve in Multi step equations for x

Answers

[tex]\longrightarrow{\green{ \: x = - 25 }}[/tex] 

[tex]\sf \bf {\boxed {\mathbb {Step-by-step\:explanation:}}}[/tex]

[tex] \frac{ - 2}{5} (x + 10) = 6[/tex]

➺ [tex] \: - 2 \: (x + 10) = 6 \times 5[/tex]

➺ [tex] \: - 2x - 20 = 30[/tex]

➺ [tex] \: - 2x = 30 + 20[/tex]

➺ [tex] \: - 2x = 50[/tex]

➺ [tex] \: x = \frac{50}{ - 2} [/tex]

➺ [tex] \: x = - 25[/tex]

Therefore, the value of [tex]x[/tex] is -25.

[tex]\sf \bf {\boxed {\mathbb {To\:verify:}}}[/tex]

[tex] \frac{ - 2}{5} ( - 25 + 10) = 6[/tex]

➺ [tex] \: \frac{ - 2( - 15)}{5} = 6[/tex]

➺ [tex] \: \frac{30}{5} = 6[/tex]

➺ [tex] \: 6 = 6[/tex]

➺ [tex] \: L.H.S.=R. H. S[/tex]

Hence verified.

[tex]\large\mathfrak{{\pmb{\underline{\red{Mystique35 }}{\red{❦}}}}}[/tex]

In a right triangle, Sin (4x + 10) º = Cos (6x) º. What is the value of x?

Answers

Answer:

x = 8

Step-by-step explanation:

According to trigonometry identity

sin x = Cos (90-x)

Hence if we have;

Sin (4x + 10) º = Cos (6x)

Sin (4x + 10) º = Sin(90- 6x)

4x + 10 = 90 - 6x

4x+6x = 90 - 10

10x = 80

x = 80/10

x = 8

Hence the value of x is 8

What is the value of the expression below? (4/5+3/5)+3.5x5

Answers

Answer:

18.9

Step-by-step explanation:

Start with parentheses.

4/5 + 3/5 = 7/5

Simplify 7/5, 7/5 = 1 2/5

Next numbers.

3.5 x 5 = 17.5

Add.

17.5 + 1 2/5 = 18.9

Who knows the answer

Answers

Answer:

46 is the answer

Step-by-step explanation:

because 154-108=46

james wrote the number 8980000 in scientific notation

Answers

Answer:

here u go

Step-by-step explanation:

8.98 x 10^6

Find the difference. Express the answer in scientific notation.
(5.29x 10^11)-(3.86 x 10^11)
O 1.43 x 10^11
O 9.15 x 10^11
O 1.43 x 10^22
O 9.15 x 10^22

Answers

Answer:

Option 1

Step-by-step explanation:

Take

[tex]10 {}^{11} [/tex]

common out.

[tex](5.29 - 3.86) \times 10 {}^{11 } \\ 1.43 \times 10 {}^{11} [/tex]

Answer: a

Step-by-step explanation: edge 2023

The function f(x)=2.14/55x + 0.31 can be used to determine the cost, in dollars, of a gallon of gas x years since 1960.

Part A - According to the function, what was the cost, in cents, of a gallon of gas in 1960?

Part B - According to the function, how much did the cost increase each year, rounded to the nearest whole cent?

Answers

Answer:

The answer is below

Step-by-step explanation:

The equation for a linear function is given as:

y = mx + b

where m is the slope of the function (that is the rate of change), b is the initial value of y when x is 0.

Given that the function where x represent the number of years since 1960 and y is the cost in dollar as:

[tex]f(x)=\frac{2.14}{55}x+0.31[/tex]

a) In the year 1960, that is x = 0, the cost of a gallon of gas is given as:

[tex]f(0)=\frac{2.14}{55}(0)+0.31\\\\f(0)=\$0.31[/tex]

b) From the function [tex]f(x)=\frac{2.14}{55}x+0.31[/tex], we can see that the rate of change is 2.14/55. Therefore, the cost increase each year by 4 cents per year.

In AFGH, the measure of ZH=90°, HF = 2.9 feet, and GH = 1.5 feet. Find the
measure of ZG to the nearest degree.

Answers

9514 1404 393

Answer:

  63°

Step-by-step explanation:

The relevant trig relation is ...

  Tan = Opposite/Adjacent

  tan(G) = HF/HG

  G = arctan(HF/HG) = arctan(2.9/1.5) ≈ 63°

The diagram shows a pattern using four identical rhombuses.
Diagram NOT
accurately drawn
25
25
25
Work out the size of the angle marked a.
You must show your working,

Answers

Answer:

There isnt a diagram

Step-by-step explanation:

IF THE INTEGERS IS 12,-6,8,-5,7,-4,3 ARE MARKED ON THE NUMBER LINE, THE ONE THAT COMES ON THE EXTREME LEFT

Answers

Answer:

- 6

Step-by-step explanation:

Given the integers : 12,-6,8,-5,7,-4,3

To obtain which one falls on the extreme left, the integers are arranged in ascending order, and the least value is chosen as this is the number which falls to the extreme left of arranged on a number line.

Ordered value in ascendibg order :

-6, -5, -4, 3, 7, 8, 12

The value which will. Fall. On the extreme left is : - 6

determine the equation of the circle graphed below .
( help please )

Answers

Answer:

(x+5)²+(y+7)²=4

Step-by-step explanation:

just count it

mr.harrington drive 164 miles. his car used 8 gallons of gas. how many miles per gallon of gas does the car average

Answers

Answer:

20.5 mpg

Step-by-step explanation:

Here we're looking to calculate the car's fuel economy, expressed in miles per gallon, or mpg:

 164 miles

------------------ = 20.5 mpg

  8 gallons

number 14 and 15 pls

Answers

Step-by-step explanation:

b= 140 ( alternate angle)

k = 130 ( veetically opposite angles)

may it help ub

can somebody help please

Answers

Answer:

B: 12 + 2y

Step-by-step explanation:

9 + y + y + 3

You can rearrange this expression to show:

(9 + 3) + (y + y)

To solve, you add all the like parts together.

(12) + (2y)

12 + 2y

How many solutions exist for the system of equations graphed below? 3 2 54 -3 -2 -1 1 1​

Answers

Answer:

Step-by-step explanation:

One solution if they intersect (which is the case), and zero if they are parallel and apart, and infinite if they are parallel and coincident, two lines piled on top of each other.

Which value of a,b, and c correctly represent the answer in simplest form?

Answers

Answer:

A

Step-by-step explanation:

first, you turn 3 1/2 into 3 2/4'ths and change 3 two fourth's into 14/4 fraction.

next, you change 2 one fourth into 9/4th's fraction

your equation would be 14/4 divided by 9/4th's = a times b/c

when you used divide, you get get flip one of the fractions being divided, and it could turn into 14/4 TIMES 4 over 9 = a times b/c.

wait this area down here could be wrong:

when you get your equation, multiply them together and you get 56 over 36 equals a times b/c.

A times B /C is equal to 56/36 which can simple out to 28/18 which AGAIN simpled out to 14/9

C IS 9 BECAUSE IT IS THE DENOMINATOR

and because of that, A would be the answer.

Jose is trying to calibrate his new fitness watch. The app that come with the watch asks the user to input their average stride. Jose measures this to be approximately 2.5 feet. Using 2.5 feet as his stride how many feet will Jose walk if he takes 6000 steps in a day?

Answers

Answer:

Step-by-step explanation:

Jose is trying to calibrate his new fitness watch. The app that come with the watch asks the user to input their average stride. Jose measures this to be approximately 2.5 feet. Using 2.5 feet as his stride how many feet will Jose walk if he takes 6000 steps in a day?

Need help ASAP ITS DUE Soon???!!!

Answers

Answer:

V=942.5

Step-by-step explanation:

V=(π)(r)^2(h)

V= (π)(10/2)^2(12)

V=942.5

A ship moves through the water at 30 miles/hour at an angle of 30° south of east. The water is moving 5 miles/hour at an angle of 20° east of north. Identify the ship's vector, the water current's vector, and the vector representing the ship's actual motion.

Answers

Answer:

a. 25.98i - 15j mi/h

b. 1.71i + 4.7j mi/h

c. 27.69i -10.3j mi/h

Step-by-step explanation:

a. Identify the ship's vector

Since the ship moves through water at 30 miles per hour at an angle of 30° south of east, which is in the fourth quadrant. So, the x-component of the ship's velocity is v₁ = 30cos30° = 25.98 mi/h and the y-component of the ship's velocity is v₂ = -30sin30° = -15 mi/h

Thus the ship's velocity vector as ship moves through the water v = v₁i + v₂j = 25.98i + (-15)j = 25.98i - 15j mi/h

b. Identify the water current's vector

Also, since the water is moving at 5 miles per hour at an angle of 20° south of east, this implies that it is moving at an angle 90° - 20° = 70° east of north, which is in the first quadrant. So, the x-component of the water's velocity is v₃ = 5cos70° = 1.71 mi/h and the y-component of the water's velocity is v₄ = 5sin70° = 4.7 mi/h

Thus the ship's velocity vector v' = v₃i + v₄j = 1.71i + 4.7j mi/h

c. Identify the vector representing the ship's actual motion.

The velocity vector representing the ship's actual motion is V = velocity vector of ship as ship moves through water + velocity vector of water current.

V = v + v'

= 25.98i - 15j mi/h + 1.71i + 4.7j mi/h

= (25.98i + 1.71i + 4.7j - 15j )mi/h

= 27.68i -10.3j mi/h

1.) Write the probability as a fraction in simplest form. P (D) *

B.
A
С
F
D
E
1/6
4/5
about 50%
6

Answers

Answer:

Hello! answer: 1/6

Step-by-step explanation:

The probability of landing on D is 1/6 because there are 6 spots on the spinner you can land on A, B, C, D, E, and F and there is only 1 section labelled "D" therefore the probability of landing on D is 1/6 hope that helps!

Can someone help me with this please I have to have it done ??

Answers

Given:

The scale factor of the actual sports utility vehicle to the toy model is 50:1.

Actual length = 7 feet

Actual width = 5 feet

To find:

The length and width of the toy model.

Solution:

a. Let l be the length of the toy model, then

[tex]\dfrac{\text{Actual length}}{\text{Length of the toy model}}=\dfrac{50}{1}[/tex]

[tex]\dfrac{7}{l}=\dfrac{50}{1}[/tex]

[tex]7=50l[/tex]

[tex]\dfrac{7}{50}=l[/tex]

[tex]0.14=l[/tex]

Therefore, the length of the toy model is 0.14 feet.

b. Let w be the width of the toy model, then

[tex]\dfrac{\text{Actual width}}{\text{Width of the toy model}}=\dfrac{50}{1}[/tex]

[tex]\dfrac{5}{w}=\dfrac{50}{1}[/tex]

[tex]5=50w[/tex]

[tex]\dfrac{5}{50}=w[/tex]

[tex]0.10=w[/tex]

Therefore, the width of the toy model is 0.10 feet.

Here are the test marks of 6 girls and 4 boys.

Girls: 5 3 10 2 7 3

Boys: 2 5 9 3

(a) Write down the mode of the 10 marks.



(b) Work out the median mark of the

(c) Work out the mean mark of all 10 students.

help quick i really need to know the answer of
A and B​

Answers

Answer:

(a) 3

(b) 3+5÷2 =4

Step-by-step explanation:

(a) you look at which number appears the most on the data in this case it's 3 it appeares three times in the data compared to other numbers.

(b) arrange the data in ascending order divide the data equally to find the number in the middle if the are two numbers you simply add them and divide by 2 to get your median.

Evaluate expression-What is the value of the expression when x=11 and y=7


A.4

B.128

C.49

D.14

Answers

Answer:

C. 49

Step-by-step explanation:

Start by filling in your values.

[tex]7^{2} + 99 / 11 - 9[/tex]

Solve using PEMDAS.

49 + 99 / 11 - 9

49 + 9 - 9

58 - 9

49

Answer:

[tex]c .\: \: 49[/tex]

Step-by-step explanation:

[tex] {y}^{2} + 99 \div x - 9[/tex]

[tex] {7}^{2} + 99 \div 11 - 9[/tex]

[tex] 49 +99÷11-9[/tex]

[tex]49+9-9[/tex]

[tex]58-9[/tex]

[tex]49[/tex]

Hope it is helpful...

Find B
Plzz find the right answer and don’t just guess

Answers

Answer:

Step-by-step explanation:

using pythagoras theorem

a^2 + b^2 = c^2

B^2 + 8^2 = 15^2

B^2 + 64 + 225

B^2 = 225 - 64

B^2 = 161

B = [tex]\sqrt{161}[/tex]    OR  12.7

Cho tam giác ABC có AB =4cm ,AC=5cm,BC=6cm.Trên tia đối của tia AB lấy điểm D sao cho AD=5cm a) chứng minh : tam giác ABC đồng dạng với tam giác CBD b) tính CD

Answers

Answer:

meta beta

Step-by-step explanation:

diem ryugudnhkng.

Does anyone know the answer to this?

Answers

Hope this helps! Answer: (3) 5.4
Other Questions
help? I chose mit but i don't think i'm right lol Read the statement from Martin Luther King Jr.'s "The American Dream" speech.Through our scientific genius we have made of this world a neighborhood . . .This statement is effective because it disproves an opposing claim.repeats important words.appeals to reason.quotes a historical figure. please help me fill the squares find distance between (0,6) and (8,0)with process....... Question 2Find the volume. PLEASE HELP I REALLY NEED THIS ANSWERED, I NEED THE VOLUME OF BOTH CYLINDERS PLZ DONT USE AN ONLINE CALCULATOR THEY GIVE THE WRONG ANSWER Which diagram shows a pair of electrons that have opposite spins?O11 ebsitesJohn has a bag of red and blue marbles. John chooses 2 marbles without replacing the first. Let A be the event where the first marble chosenis red. Let B be the event where the second marble chosen is blue.Which statement explains what the equation P (BA) = 0.6 means for these events?A. The probability of choosing a blue marble after any marble has been removed is 0.6.OB. The probability of choosing a red marble after a blue marble has been removed is 0.6.O O OC. The probability of choosing a blue marble after a red marble has been removed is 0.6.OD. The probability of choosing a blue marble is 0.6, regardless of what else has been chosen. pleaseeee helpp mee!!!!! a rectangle has an area of 36mm^2. all sides are the same length. what is the length of a single side. Every day, every hour, every second one of the most important events in life is going on in your bodycells are dividing. When cells divide, they make new cells. A single cell divides to make two cells and these two cells then divide to make four cells, and so on. We call this process "cell division" and "cell reproduction," because new cells are formed when old cells divide. The ability of cells to divide is unique for living organisms. 3.A) _________ is a type of cell division which results in the formation of gametes. * read passages about animals and answer questions According to a NY Times article on December 13, 2009, The average selling price of a 32-inch LCD TV was $600. Use the annual CPI values from your text to compute the cost of that same TV in 2010 dollars. Express your answer rounded to the nearest cent. Solve logx 1 16 = 4 16.What would happen if DNA and RNA did not operate according to principles ofdirectionality? Give three descriptions by which John was known during his lifetime.1. 2. 3. URGENTChoose the true statement below for the following equation: y = 10x + 2 The equation doesn't represent a function. The equation does represent a function, but it is not one-to-one. The equation represents a one-to-one function. What is the conflict of the play?An Introduction to Shakespeare and Romeo and Juliet, Part 1 A hot metal plate at 150C has been placed in air at room temperature. Which event would most likely take place over the next few minutes? Molecules in both the metal and the surrounding air will start moving at lower speeds. Molecules in both the metal and the surrounding air will start moving at higher speeds. The air molecules that are surrounding the metal will slow down, and the molecules in the metal will speed up. The air molecules that are surrounding the metal will speed up, and the molecules in the metal will slow down. which of the following systems of linear inequalities is represented by the solution graphed below?