How do i use composition and decomposition to determine the area of a polygon?

Answers

Answer 1

Answer: Decompose means the opposite, to take apart

Step-by-step explanation: In this lesson, the words composition and decomposition are used to describe how irregular figures can be separated into triangles and other polygons. The area of these parts can then be added together to calculate the area of the whole figure.


Related Questions

8. Expo markers cost $4.99 per pack. There is a 20%
discount if 4 or more packs are purchased at Office
Depot. Sales tax is 7%. If Nicole bought 8 packs of
expos, about how much did she pay?

Answers

Answer:

34.17

Step-by-step explanation:

8 packs x 4.99/pack=39.92

39.92x.8(100-20% discount)=31.94

31.94 x 1.07% (includes 7% sales tax)=34.17

Sara buys 4 candles for $12.25 each.
If she has a coupon for 15% off, and
tax is 8.5%, what is her final bill?

Answers

Answer:

$44.98

Step-by-step explanation:

12.25 x 4 = 49

if her coupon is 15% off then she pays 85% of 49, which is 41.65

8% tax added to 41.65 is, 41.65 × .08 = 3.33

total cost is 41.65 + 3.33 = 44.98

List the integer solutions of: -3 < 2e ≤ 8.

Answers

9514 1404 393

Answer:

  {-1, 0, 1, 2, 3, 4}  

Step-by-step explanation:

Divide by 2 to find the solution.

  -3/2 < e ≤ 4

The integer solutions are ...

  {-1, 0, 1, 2, 3, 4}

Step-by-step explanation:

-3 < 2e ≤ 8

devided by 2

-3/2 < e ≤ 4

so, the integers are : { -1,0,1,2,3,4}

Can someone isolate the variable “n” and show steps?

Answers

Answer:

n= s/180 +2

Step-by-step explanation:

s=(n-2)180

/180

s/180=n-2

+2

s/180 +2 =n

I need help y’all please

Answers

Answer:

12,214.51 meters cubed.

Step-by-step explanation:

4q^2 - (qr + 25) if q = 6 and r = 19

Answers

Answer: 5

Explication: Do PEMDAS first solve the parenthesis which is 6x19= 114 then add the 25 which equals 139. Now slice the exponent 6^2=36 then multiply by 4 which equals 144. Subtract 144-139 and you get 5

what are m4 and m1.............................................

Answers

Answer:

m<1 = 136

m<4 = 44

Step-by-step explanation:

Exterior angle thm:

<2 + <3 = <4

4x + 2 + 5x - 3 = 8x + 4

9x - 1 = 8x + 4

9x - 8x = 4 + 1

x = 5

m<4:

8x + 4

8(5) + 4

40 + 4

44

m<1 and m<4 are supplementary (they add up to 180) so:

m<1 + m<4 = 180

m<1 + 44 = 180

m<1 = 136

Find the probability that a randomly
selected point within the circle falls
in the red shaded area (Square).
r = 4 cm
4√2 cm
[?]%
Round to the nearest tenth of a percent.
Enter

Answers

Answer:

63.7 I believe to be the answer

The required probability that a randomly selected point within the circle falls in the red shaded area (Square) is 63.6%.

A figure is shown, in which a square is inscribed in a circle. To find the probability that a randomly selected point within the circle falls in the red shaded area (Square).
radius  = 4 cm
side of square = 4√2 cm


What is probability?

Probability can be defined as the ratio of favorable outcomes to the total number of events.


Area of the circle = πr²
                              = 3.14 * 4²
                              = 50.24 cm²
Area of the square = side * side
                                =  4√2 * 4√2
                                = 32 cm²

Now the probability that a randomly selected point within the circle falls in the red shaded area (Square).
= Area of square / Area of the circle
= 32 / 50.24
= 0.636 or 63.6%

Thus, the required probability that a randomly selected point within the circle falls in the red shaded area (Square) is 63.6%.

Learn more about probability here:

brainly.com/question/14290572

#SPJ2

A rug like a rectangle has a width of 3 m . The length of the rug is 2 m greater than its widith . What is the perimeter of the rug in meters

Answers

Answer:

16m

Step-by-step explanation:

Given data

Width = 3m

Lenght = 2+3= 5m

We know that the expression for perimeter is

P= 2L+2W

Substitute

P= 2*5+ 2*3

P= 10+6

P= 16 m

Hence the perimeter is 16m

?????????????!!!!!!!!!

Answers

Answer:

B

Step-by-step explanation:

The answer is B
Hope this helps

HELPPP ME PLEASE IT’S A VERY IMPORTANT TESTTTTT

Answers

Answer:

B also have a great day today

Answer:

D, Between 5.4 and 6.5

Step-by-step explanation:

anything less than .5 gets rounded down and anything higher gets rounded up so it'll end up with 6

Can someone please help me

Answers

Answer:

if I am correct the answer should be 2

What is the value of a for the following circle in general form?
x2 + y² + ax + by+c=0

Answers

The answer is -6 from my calculations


The sum of two numbers is 58. The smaller number is 20 less than the larger number. What are the numbers?

Answers

38 I hope that helps

Answer:

x=38 Larger number

y=20 Smaller number

Step-by-step explanation:

38+20=58

Help please asap tysm! 10 brainly points! Will mark brainliest if you put in a random answer you will be reported! Tysm! <3 Need this asap please tysm!

Answers

Answer:

The surface area of the prism is 276 in.²

If you are also looking for the volume of the prism, it is 280.

Step-by-step explanation:

It's hard to find the surface area and the volume of the prism if you're just looking at the net of the 3D shape. There are some unnecessary measurements that will definitely throw you off. I drew a sample prism so it's easier to solve. Check the linked image.

The formula in finding the surface area of a prism is SA = 2(wl + hl + hw), where w is for width, l is for length, and h is for height. The point of all of these calculations is to find the area of 3 different faces of the prism and then you add up all of the areas and multiply the sum by 2 to give you the surface area. Looks a lot but it's worth getting the answer right.

The formula in finding the volume of the prism is V = w * h * l, where w is for width, h is for height, and l is for length. Simple multiplication of 3 different sides and you'll get the volume. I hope this helps and if I am wrong please let me know! :D

Answers:

Surface Area = 276 square inchesVolume = 280 cubic inches

==========================================================

Explanation:

It might help to draw this out on paper, cut the figure out, and fold along the lines to form a 3D box.

Check out the diagram below. In steps 1 through 4, we go from a flat 2D net to a 3D box. Steps 2 and 3 basically are just intermediate steps to show the folding process. If this was done with an animation, it might look better (you'll have to use your imagination a bit).

The letters A through F in red should help us see how the flat 2D figure connects to the 3D one. For me, it helps to picture a room. The floor is face B, the ceiling is E, and so on.

Anyways, once we get the 3D box, it has the following dimensions:

L = length = 10 inchesW = width = 7 inchesH = height = 4 inches

The order of length, width and height doesn't matter.

Once we know these values, we can plug them into the formulas below

SA = 2(LW+LH+WH)V = LWH

where SA and V are the surface area and volume respectively.

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

So,

SA = 2(LW+LH+WH)

SA = 2(10*7 + 10*4 + 7*4)

SA = 2*(70+40+28)

SA = 2*138

SA = 276 square inches is the surface area

and,

V = L*W*H

V = 10*7*4

V = 280 cubic inches is the volume

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

As an alternative way to get the surface area, you can compute the areas of rectangles A through F, and then add up those areas to get the overall surface area.

It's a bit interesting how the surface area and volume are almost nearly the same number. Though that could be a coincidence.

20. A movie streaming website charges an initial fee of $120, plus $5 for each movie that is
streamed. How many movies must be streamed for the average cost per movie to fall to $7?
a. 10 movies
b. 60 movies
c. 25 movies
d. 120 movies

Answers

Answer: b. 60 movies

Step-by-step explanation:

60 * $5= $300

$300+$120= $420

$420/60= $7

Can someone help me with this pls, is super important

Answers

x = 50 degrees
y = 50 degrees

Explanation:

x + 130 = 180 (Angles between parallel lines)
x = 50

y = x = 50 (Corresponding angles)

The mean area µ of the several thousand apartments in a new development is advertised to be 1250 square feet. A tenant group thinks that the apartments are smaller than advertised. They hire an engineer to measure a sample of apartments to test their suspicion. The appropriate null and alternative hypotheses, H0 and Ha, for this test are

Answers

Answer:

The appropriate null hypothesis is [tex]H_0: \mu = 1250[/tex]

The appropriate alternate hypothesis is [tex]H_a: \mu < 1250[/tex]

Step-by-step explanation:

At the null hypothesis, we test if the mean area is the advertised area of 1250 square feet, that is:

[tex]H_0: \mu = 1250[/tex]

A tenant group thinks that the apartments are smaller than advertised.

Smaller, thus, at the alternate hypothesis, we test if the mean area is less than the advertised area of 1250 square feet, that is:

[tex]H_a: \mu < 1250[/tex]

Which triangle has hypotenuse Side B D?

A cube. The top face has points G, B, C, F and the bottom face has points H, A, D, E.
triangle BDA
triangle BDF
triangle BDG
triangle BDH

Answers

Answer:

BDA

Step-by-step explanation:

Answer:

A). BDA

im doing the test rn

Step-by-step explanation:

PLEASE HELP WILL GIVE BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

The answer is the 3rd choice

Round 81.469 to 1 decimal place.

Answers

81.469 correct to one Decimal place is 81.5

Hope This Helps You ❤️

what number is equal to 3 thousands+ 7 tens+ 5 ones

Answers

Answer:

3075

Step-by-step explanation:

There is 3 thousands so 3,000 no hundreds so 0 then 7 tens,70, then 5 one,5, so 3075

Answer:

3,075

Step-by-step explanation:

3 thousands = 3,000

0 hundreds = 0

7 tens = 70

5 ones = 5

Violet buys a premium sound system that is on sale for 40% off the original price. The original price is $224 more than the sale price

Answers

Answer:

The original price was of $560, while the sales price was of 560 - 224 = $336.

Step-by-step explanation:

Original price:

x

Sales price:

224 less than the sales price, that is:

x - 224.

On sale fo 40% of the original price:

So the sales price is 100 - 40 = 60% = 0.6 of the original price. That means that:

[tex]x - 224 = 0.6x[/tex]

[tex]0.4x = 224[/tex]

[tex]x = \frac{224}{0.4}[/tex]

[tex]x = 560[/tex]

The original price was of $560, while the sales price was of 560 - 224 = $336.

El número de rebanadas de pizza que se comió cada persona en la fiesta de cumpleaños Elian son: 3,4,5,2,1,4,5,3,2,1,0,2,3,4,6. Media: Moda: Mediana:

Answers

Respuesta:

Modo = 2, 3, 4

Mediana = 3

Media = 3

Explicación paso a paso:

Dados los datos:

3,4,5,2,1,4,5,3,2,1,0,2,3,4,6

Datos pedidos: 0, 1, 1, 2, 2, 2, 3, 3, 3, 4, 4, 4, 5, 5, 6

La media = ΣX / n = 45/15 = 3

Donde n = tamaño de la muestra = 15

Mediana = 1/2 * (n + 1) th término

Mediana = 1/2 (16) término

Mediana = octavo término

Mediana = 3

Modo = 2, 3, 4 (el más alto ocurre con una frecuencia de 3 cada uno)

The number that you will be rounding is: 5764.357894
Round this number in these 4 ways to the nearest:
1)ten
2)tenths
3)hundred
4)hundredths

Answers

Answer:

Rounded to the nearest ten, 5760

Rounded to the nearest tenth, 5764.4

Rounded to the nearest hundred, 5800

Rounded to the nearest hundredths, 5764.36

Step-by-step explanation:

The sails of two boats are pictured below. What is the value of y?

Answers

Answer:

C 70

Step-by-step explanation:

since 2 sides are parallel to each other, so is then the third side, and their these are similar triangles. that means all angles of one triangle are the same in the other.

remember, the sum of all angles in a triangle is always 180 degrees.

so, we know 2 angles. one is 90 degrees, x is 20 degrees, therefore

y = 180 - 90 - 20 = 70

Tim wants to buy a new sound system for $145. He has already saved $65. He gets $20 for each lawn that he mows.

Answers

Answer:

4 Lawns

Step-by-step explanation:

Tim need to mow four lawns.

145 - 65 = 80

80 / 20 = 4

Prove
Tan(x)+cot(x)=sec(x)/sin(x)

Answers

Answer:

Step-by-step explanation:

tanx + cotx = secx / sinx

take left hand side

=tanx + cotx

=sinx/cosx + cosx/sinx

=sinx*sinx+cosx*cosx/sinx*cosx

=sin^2x + cos^2x/sinx*cosx

=1/sinx*cosx

=1/cosx * 1/sinx

=secx/sinx

at second last step i changed multiplication sign into divide sign and write the reciprocal of 1/sinx which is sinx.

Lauren is given a 12% pay rise.Her new salary is £24,080. What was Lauren's salary before the pay rise?

Answers

Answer:

The base salary was £21,500.

Step-by-step explanation:

Giving the following information:

Increase rate (g)= 12%

New salary= £24,080

To calculate the base salary, we need to use the following formula:

Base salary= new salary / (1 + increase rate)

Base salary= 24,080 / (1.12)

Base salary= £21,500

The base salary was £21,500.

The probability of saving a penalty kick from the opposing team is .617 for a soccer goalie. If 7 penalty kicks are shot at the goal, what is the probability

Answers

Answer:

0.2754

Step-by-step explanation:

Probability of saving a penalty kick = 0.617

p = 0.617 ; q = 1 - p = 1 - 0.617 = 0.383

number of trials, n = 7

Number of saves, x = 5

Using the binomial probability relation :

P(x = x) = nCx * p^x * q^(n-x)

P(x = 5) = 7C5 * 0.617^5 * 0.383^2

P(x = 5) = 21 * 0.0894181 * 0.146689

P(x = 5) = 0.2754

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