the figure is symmetric about the x- and y-axis. what is the area of the figure below

The Figure Is Symmetric About The X- And Y-axis. What Is The Area Of The Figure Below

Answers

Answer 1

Answer:

126 units²

Step-by-step explanation:

Draw 5 vertical lines BR, CQ, EO, GM, HL and we will have 4 trapezoids and 2 rectangles.

Trapezoid ABRS ≅ trapezoid IHLK

Trapezoid DEOP ≅ trapezoid FEON

Rectangle BCQR ≅ rectangle GHLM

Area of trapezoid is [tex]\frac{b_{1} +b_{2} }{2}h[/tex]

Area of rectangle is [tex]lw[/tex]  

The total area of the figure is: ( 2 × [tex]A_{ABRS}[/tex] + 2 × [tex]A_{BCQR}[/tex] + 2 × [tex]A_{DEOP}[/tex] )

In trapezoid ABRS: [tex]b_{1}[/tex] = 6, [tex]b_{2}[/tex] = 8 and h = 3 ⇒

2 × [tex]A_{ABRS}[/tex] = 2 × [3(6 + 8) ÷ 2] = 42 units²

In rectangle BCQR: l = 6 and w = 3 ⇒

2 × [tex]A_{BCQR}[/tex] = 2 × (6 × 3) = 36 units²

In trapezoid DEOP: [tex]b_{1}[/tex] = 6, [tex]b_{2}[/tex] = 10 and h = 3 ⇒

2 × [tex]A_{DEOP}[/tex] = 2 × [3(6 + 10) ÷ 2] = 48 units²  

[tex]A_{total}[/tex] = 42 + 36 + 48 = 126 units²  


Related Questions

solve for x 5(4x-5)+3x-1=20

Answers

Step-by-step explanation:

20x-25+3x-1=20

20x+3x=20+25+1

23x=46

X=2

Answer:

x=2

Step-by-step explanation:

5(4x-5)+3x-1=20 (given)

20x - 25 + 3x -1 = 20 (distribute)

23x -26 = 20 (combine like terms)

23x = 46 (add)

x=2 (division)

Ella is putting her savings into a retirement fund that will compound her $7000 semiannually at 7% interest. How much will her retirement fund be worth after 10 years? *

Answers

Answer:

8099

Step-by-step explanation:

PLEASE I NEED IMMEDIATE HELP I will give brainliest

BD=16 and ÁT is the
perpendicular bisector of BD
BC=

Answers

Answer:

8

Step-by-step explanation:

16/2=8

Answer:

8

Step-by-step explanation:

A bisector bisects a line in HALF. Thus, by dividing 16 in half you will get BC=8.

LaShea would like to invest her $100 in birthday money. Which option will give her the most money at the end of the investment period?

1 year at 8 percent

1.5 years at 7 percent

2 years at 6.5 percent

3 years at 4 percent

Answers

Answer:

1 year at 8 percent

Step-by-step explanation:

i took the test

Please help is this a solution or inequality 5-x<8;x=-3

Answers

Answer:

Its a inequality

Step-by-step explanation:

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This is an inequality. Refer to the char below.

The two expressions we have is ‘5 - x’ and ‘8’. If X is equal to three, then we get ‘5 - 3’ and ‘8’. This comes out to 2 > 8.


Hope this helps :)

7
Which two whole numbers is 20 between?

Answers

Answer:

19 and 21

Step-by-step explanation:

... 17, 18, 19 , 20, 21, 22, 23 ,24, 25

What is a common tip percentage amount that people receive?

Answers

20% is a common tip

Answer:

15-20%

Step-by-step explanation:

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By the square property, if b is a real number , and a2=b, then a=

Answers

Answer:

[tex]a=\sqrt{6},\:a=-\sqrt{6}[/tex]

Step-by-step explanation:

Given

b is a real number[tex]a^2=b[/tex]

as

[tex]\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}[/tex]

so

[tex]a^2=6[/tex]

[tex]a=\sqrt{b},\:a=-\sqrt{b}[/tex]

Therefore,

[tex]a=\sqrt{6},\:a=-\sqrt{6}[/tex]

Answer:

lal

Step-by-step explanation:

ap3x


please help
answer choices are:
a (-2,-8)
b (2,-8)
c (2,-4)
d. (-2,4)

Answers

The answer is c because you add 6 to the x-value and add 2 to the y-value. When reflecting across the x-axis, the y-value flips signs

HELP PLS this is my last question

Answers

Answer:

The solutions to the system of the equations are:

[tex]y=1,\:x=3[/tex]

Step-by-step explanation:

Given the equations

[tex]y=\frac{2}{3}x-1;\:y=-x+4[/tex]

solving the system of equation

[tex]\begin{bmatrix}y=\frac{2}{3}x-1\\ y=-x+4\end{bmatrix}[/tex]

Arrange equation variables for elimination

[tex]\begin{bmatrix}y-\frac{2}{3}x=-1\\ y+x=4\end{bmatrix}[/tex]

[tex]y+x=4[/tex]

[tex]-[/tex]

[tex]\underline{y-\frac{2}{3}x=-1}[/tex]

[tex]\frac{5}{3}x=5[/tex]

[tex]\begin{bmatrix}y-\frac{2}{3}x=-1\\ \frac{5}{3}x=5\end{bmatrix}[/tex]

solving for x

[tex]\frac{5}{3}x=5[/tex]

[tex]5x=15[/tex]

Divide both sides by 15

[tex]\frac{5x}{5}=\frac{15}{5}[/tex]

[tex]x=3[/tex]

[tex]\mathrm{For\:}y-\frac{2}{3}x=-1\mathrm{\:plug\:in\:}x=3[/tex]

[tex]y-\frac{2}{3}\cdot \:3=-1[/tex]

[tex]y-2=-1[/tex]

Add 2 to both sides

[tex]y-2+2=-1+2[/tex]

[tex]y=1[/tex]

Therefore, the solutions to the system of the equations are:

[tex]y=1,\:x=3[/tex]

Factor 14x−24 using the GCF

Please help me! Hurry! Please show your work.

Answers

Answer:

2(7x - 12)

Step-by-step explanation:

Find the GCF of 14 and 24: 2Divide each number by 2 shown in steps 3 and 414x ÷ 2 = 7x24 ÷ 2 = 12Re-write the expression: 2(7x - 12)

I hope this helps!

What is the range of the relation below?

Answers

Answer:

D.

Step-by-step explanation:

because the lowest y is -3 and the highest is 2

Answer is D hope this helps

factor completely, 0.2x + 0.8 a. x b. 0.8(x + 1) c. 0.2(x + 1) d. 0.2(x + 4)

Answers

Answer:

d. 0.2 ( x + 4 )

Step-by-step explanation:

0.2x + 0.8

Both 0.2x and 0.8 have a common factor of 0.2, hence pull 0.2 out.

0.2x + 0.8

0.2 ( x + 4 )

Mole Conversion:
What is the mass of 3.13 x 1023 molecules of carbon dioxide?

Answers

Answer:

The mass of 3.13*10²³ molecules of carbon dioxide is 22.88 g.

Step-by-step explanation:

Avogadro's Number or Avogadro's Constant is the number of particles that make up a substance (usually atoms or molecules) and that can be found in the amount of one mole of said substance. Its value is 6.023*10²³ particles per mole and it applies to any substance.

Then you can apply the following rule of three: if 6.023*10²³ molecules are present in 1 mole, 3.13*10²³ molecules are present in how many moles?

[tex]moles=\frac{3.13*10^{23}molecules*1 mole }{6.023*10^{23}molecules}[/tex]

moles= 0.52

Since the molar mass of carbon dioxide is 44 g / mole, then the following rule of three can be applied: if there are 44 g in 1 mole, how much mass is there in 0.52 moles?

[tex]mass=\frac{0.52 moles*44 g}{1 mole}[/tex]

mass= 22.88 g

The mass of 3.13*10²³ molecules of carbon dioxide is 22.88 g.

Find the square of each imaginary number.
(Get rid of the i)

Answers

Answer:

- 32/21 over 5 is

Step-by-step explanation:

*gets coins and runs to the store to get "milk"

Answer:

-765/25

Step-by-step explanation:

A pre-image arrow pointing east is rotated 135° clockwise. In which direction is the image arrow pointin​

Answers

Given :

A pre-image arrow pointing east is rotated 135° clockwise.

To Find :

In which direction is the image arrow point.

Solution :

90° clockwise shift make it south.

Now, remaining angle for rotation ( 135 - 90 )° = 45°.

So, direction of moving 45° more clockwise makes it 45° west of south or 45° south of west.

Hence, this is the required solution.

Suppose IQ scores were obtained from randomly selected couples. For 20 such pairs of​ people, the linear correlation coefficient is 0.907 and the equation of the regression line is y=9.88+0.9x​, where x represents the IQ score of the husband. What is the best predicted IQ of the wife​, given that the husband has an IQ of 101​?

Answers

Answer:

108.88

Step-by-step explanation:

Given that:

Equation of Regression line obtained for couple's IQ:

y=9.88+0.9x

x represents the IQ score of the husband

The best predicted IQ of wife Given that husband's IQ is 110

y = 9.88 + 0.9(110)

y = 9.88 + 99

y = 108.88

Given that [tex](ax+4)(2x+b)=2x^2+5x-12[/tex], what are the values of a and b?

Answers

Answer:

a = 1, b = - 3

Step-by-step explanation:

Expand the factors on the left side, then compare the coefficients of like terms on both sides.

left side

(ax + 4)(2x + b) ← expand using FOIL

= 2ax² + abx +8x + 4b

= 2ax² + x(ab + 8) + 4b

Compare coefficients of like terms with those on right side.

coefficients of x² terms

2a = 2 ( divide both sides by 2 )

a = 1

comparing constant terms

4b = - 12 ( divide both sides by 4 )

b = - 3

Will give brainlyest Will give brainlyest Will give brainlyest Will give brainlyest Will give brainlyest.idk and if you give me the answer can you tell me if I put it on the far right or left

Answers

Answer:

so i tried to draw it.

Step-by-step explanation:

Answer:

left

Step-by-step explanation:

plz i need 4 more brainlyests to pass

Morag typed 60 words in one minute. Express as a unit rate.

Answers

Answer:

60 words per minute...60/1...this is already in unit rate form

A parking lot that has 520 spaces

was filled with 390 cars. What

percent of the parking lot was full?

Answers

Answer:

75%

Step-by-step explanation:

390/520 = 0.75 =75

hope that helps ;)

Answer:

75%

Step-by-step explanation:

390/520×100%

0.75×100%

75%

PLEASE HELP MEEEEE!!! IT's TIMED

Answers

Answer:

x is less than oe equal to 12

Answer:

x ≤ 15

Step-by-step explanation:

7x - 6 ≤ 3x + 54

Subtract 3x from both sides;

4x - 6 ≤ 54

Add 6 to both sides;

4x ≤ 60

Divide both sides by 4;

x ≤ 15

What is x-2+5x

What is -4x-10+6x

What is 7+10x+4x-8

Answers

Answer:

What is x-2+5x = 6x-2

What is -4x-10+6x = 2x-10

What is 7+10x+4x-8 = -4x+9

Step-by-step explanation:

Quickly XD!
3 friends share 2 pizzas evenly.
About how much pizza will each friend get?
Sorry if you tryna enjoy your weekend I Needa get this done.

Answers

y=2/3 orange for each friend (decimal: 0.6667 rounded to 4d. p)

PREMISES

y=the fraction of 2 oranges that each of 3 friends shares equally

CALCULATIONS

To distribute 2 oranges equally between 3 friends requires that the oranges be sliced proportionately equal to the number of friends which is 3

So, then,

y=

Each friend receives 1/3 of each of 2 oranges making 2/3 orange for each friend.

If y=2/3 orange, then the equations

3*2/3 orange=2 oranges

6/3 oranges=2 oranges and

2 oranges=2 oranges prove the solution y=2/3 orange to the fraction of 2 oranges shared by each of 3 friends

6p = 3p + 2p + p is true for

Answers

Answer:

For any value

Step-by-step explanation:

Answer:

Anything substituted for p should be correct

Step-by-step explanation:

) Solve this equation: − 10 + = 8 + 2 − 18

Answers

Answer:

I think the question is wrong check ur question and I will answer

PLS HELP! DUE TODAY! I WILL GIVE BRAINLIEST!
In the following activity, match each pair of equivalent expressions.
3(x + 5)
9x - 2(3x - 3)
(x + 14) - (8 - 2x)
(7 - 2x) + (3x - 11)
(7 + 5x) + (-4x - 1)
-2x + 9 + 5x + 6
-4(x + 1) + 5x
-7 + 6x - 4x + 3
2(x - 2)
-3x + 6 + 4x

Answers

Answer:

Matches are:

1 and 6

2 and 3

4 and 7

5 and 10

8 and 9

Step-by-step explanation:

First just expand all:

1. 3x + 15

2. 3x + 6

3. 3x +6

4. x - 4

5. x + 6

6. 3x +15

7. x - 4

8. 2x - 4

9. 2x - 4

10. x + 6

Please give brainliest! Thanks, hope this helps!

please yall im crying this is hard

Answers

Answer:

I think ur and is 4140. but I'm not sure, sorry if its incorrect.

y=-4/7x+2 is it Proportional

Constant of proportionality: k=



Not proportional

URGENT

Answers

Answer:

It is  

5/7

Explanation:

The number  

5/7

tells you that when  

x

increases of  

1

then  

y

always increases of  

5/7

.

Graphically:

graph{7/7*x [-10, 10, -5, 5]}

Step-by-step explanation:

what is the common fraction of the decimal 0,76​

Answers

19/25 saesdfggggvvvvbbbnnbbnn

Answer:

76/100

Step-by-step explanation: 76 is in the hundreds place

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