7.4.PS-6
Question Help
Find the area of the polygon.
20 cm
14 cm
4 cm
3 cm
5 C

7.4.PS-6Question HelpFind The Area Of The Polygon.20 Cm14 Cm4 Cm3 Cm5 C

Answers

Answer 1

Answer:

The area of the given polygon is:

232 cm^2

Step-by-step explanation:

To find the area of the polygon in the picture, you can divide the polygon in three rectangles: a 3 cm by 14 cm, a 5 cm by 14 cm rectangle, and the last rectangle must have a base of 12 cm (20 cm - 3 cm - 5 cm), and a height of 10 cm (14 cm - 4 cm). We can calculate the area of the rectangles with the formula below:

Area of a rectangle = Base * height

Now, we're gonna replace the measurements in the formula.

First rectangle:

Area of a rectangle = 3 cm * 14 cmArea of a rectangle = 42 cm^2

Second rectangle:

Area of a rectangle = 5 cm * 14 cmArea of a rectangle = 70 cm^2

Third rectangle:

Area of a rectangle = 12 cm * 10 cmArea of a rectangle = 120 cm^2

By last, we must add the area of the rectangles:

Area of the polygon = 42 cm^2 + 70 cm^2 + 120 cm^2Area of the polygon = 232 cm^2

As you can see, the area of the polygon in the picture is 232 cm^2.


Related Questions

Suppose two rectangles have the same area. Must they have the same length and width? Explain.​

Answers

Answer:

no

Step-by-step explanation:

Two rectangles having the same area do not need to have the same length and width. The length and width of the rectangle are just factor pairs of the number that is the area. For example, if the area was 12, the side lengths would be 1 and 12, 2 and 6, or 3 and 4. As you can see, those aren't the same lengths and widths. A rectangle may be 1x12 and another may be 3x4, but they have the same area.

Question 1
Simplify the following arithmetic expression without using a calculator:
1/2 + 7/8 X 49/8 = 7/2 - 3/32
12-1/2 x 271/2​

Answers

Answer:

0 = 0 = 0 = 0 = 0 < 1/

2

< 7/

8

< 7/

2

< 49/

8

< 12 < 271/

2

0 is equal to 0 is equal to 0 is equal to 0 is equal to 0 is less than 1/

2

is less than 7/

8

is less than 7/

2

is less than 49/

8

is less than 12 is less than 271/

2

0/

8

= 0/

8

= 0/

8

= 0/

8

= 0/

8

< 4/

8

< 7/

8

< 28/

8

< 49/

8

< 96/

8

< 1084/

8

Step-by-step explanation:

If x= 2/3 and x = – 3 are roots of the quadratic equations ax2 + lx + b = 0, find the values of a and b.

Answers

Answer:

Step-by-step explanation:

ax² + 7x + b

Substituting 2/3 in equation

4a/9 + 14/3 +b = 0

4a/3 + 14 + 3b = 0

4a + 42 + 9b = 0 ------> (i)

Substituting -3 in equation

9a - 21 + b = 0

81a - 189 + 9b = 0 ------> (ii)

Elimination method

a = 3

substituting in any equation

b = -6

I need help ASAP!!!!!! Calculate the slope of the line through the points (-1, 1) and (4, 0).
A. 5x
B.-1/5
C.1/5
D.-5

Answers

Answer:

B. -1/5

Step-by-step explanation:

To find the slope we place (0-1) over (4- (-1))

Using the letters suggested, construct a simple formula:
A car travels a km/h for b km and makes another journey at c km/h for d km.
a. Find the total distance (s km) the car travels
b. Find the formula for the Average Speed of the entire journey.

Answers

Answer:

Speed = distance / time

Time = distance/ Speed

Distance = Speed x time

Solve (x + 4)2 – 3(x + 4) – 3 = 0 using substitution. u = x + 4 Select the solution(s) of the original equation.

Answers

Answer:

-7

Step-by-step explanation:

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

2x+8-3x-12-3=0

-x+8-15=0

-x-7=0

 +7  +7

-x=7

/-1  /-1

x=-7

--

hope it helps

Answer:

B and D buster

Step-by-step explanation:

Find the volume of a sphere with a diameter of 6.2 in.

Answers

Answer: its 23 meters

Step-by-step explanation:

The volume of a sphere with a diameter of 6.2 in is 39.72π

What is the volume of the sphere?

The volume of a sphere is defined as the total amount of capacity applied in a sphere that can be calculated using the volume formula for the sphere which is V = (4/3)πr3.

The radius of the sphere is;

[tex]\rm Radius =\dfrac{Diameter}{2}\\\\Radius=\dfrac{6.2}{2}\\\\Radius=3.1[/tex]

The volume of the sphere is;

[tex]\rm Volume =\dfrac{4}{3}\pi r^3\\\\Volume =\dfrac{4}{3}\pi (3.1)^3\\\\Volume = 39.72\pi[/tex]

Hence, the volume of a sphere with a diameter of 6.2 in is 39.72π.

Learn more about sphere here;

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can I get help with this 3m⁵ x 3m⁷​

Answers

The answer is 9m^12

Which table represents a function

Answers

Answer:

A

Step-by-step explanation:

because it passes the vertical line test and also for every x, there is only one y

Solve:

22,064 ÷ 394=

Answers

Answer: 56

394 goes into 22064 56 times.

Answer:

0.056

The Answer is 56!!!!

Step-by-step explanation:

Item 2

Jake ran 145 meters before lunch and 389 meters after lunch.


How many kilometers did Jake run in all?


A. 0.00534 km


B. 0.0534 km


C. 0.534 km


D. 5.34 km

Answers

145 meters + 389 meters = 534 meters. There are 1000 meters in 1 kilometer so the total kilometers ran is 534/1000 = 0.534 kilometers.

Can somebody help, will give brainliest

Answers

9514 1404 393

Answer:

c = 2segments 10, 8, 6 (top down)

Step-by-step explanation:

The sum of top and bottom bases is twice the midsegment.

  (c² +6) +(c² +2) = 2(4c)

  2c² -8c +8 = 0 . . . . . . . . . subtract 8c

  2(c -2)² = 0 . . . . . . . . factor

  c = 2 . . . . . . the value that makes the binomial be zero

The value of c is 2; the segment lengths (top-down) are 10, 8, 6.

13 - [(3² x 4) - 30]

Answers

Answer:

7

Step-by-step explanation:

13 - [(3² x 4) - 30]

13 - [(9 x 4) - 30]

13 - (36 - 30)

13-6

7

Answer:

7

Step-by-step explanation:

I think the answer you're looking for is 7

At the end of each day of a bowling competition, half of the bowlers are eliminated until a winner is determined. There are 320 bowlers on day 1 of the competition. Which equation represents the number of bowlers, y, on the day x of the competition

Answers

Answer:

Step-by-step explanation:

Y= 320(1.5)^x-1

In this exercise we have to use the data informed in the text and perform the assembly of an equation in this way we find that:

[tex]Y=320(0.5)^X-1[/tex]

Some data were informed in the text for this equation to be written, so:

Y: the number of bowlersX: on the day320 bowlers

Now writing the equation representing the given information is:

[tex]Y=320(0.5)^X-1[/tex]

See more about equation at  brainly.com/question/2263981

Chloe has 3 red pencils, 5 blue pencils, and 1 yellow pencil in her backpack. She chooses one pencil at random, puts it back, and then chooses another pencil .


The probability that Chloe chooses a blue pencil and then a red pencil is


The probability that Chloe chooses the yellow pencil and then a blue pencil is


No links please :)

Answers

Answer:

A) P(chooses a blue pencil and then a red pencil) = 5/27

B) P(chooses yellow then blue) = 5/81

Step-by-step explanation:

She has 3 red pencils, 5 blue pencils, and 1 yellow pencil in her backpack

Thus;

total number of pencils = 3 + 5 + 1 = 9 pencils

A) probability that she chooses a blue pencil and then a red pencil;

P(blue) = 5/9

Now she puts it bag after choosing which means the sum is back to 8 pencils.

Thus, if she now chooses a red pencil, then P(red) = 3/9 = 1/3

Thus;

P(chooses a blue pencil and then a red pencil) = 5/9 × 1/3

P(chooses a blue pencil and then a red pencil) = 5/27

B) probability that Chloe chooses the yellow pencil and then a blue pencil;

Similar to A above;

P(yellow) = 1/9

P(blue) = 5/9

P(chooses yellow then blue) = 1/9 × 5/9

P(chooses yellow then blue) = 5/81

How many solutions
Line A: x + y = 2
Line B: 2x + y = 4

Answers

Answer:

1 solution (2, 0 )

Step-by-step explanation:

Given the 2 equations

x + y = 2 → (1)

2x + y = 4 → (2)

Subtract (1) from (2) term by term to eliminate y

2x - x + y - y = 4 - 2 , that is

x + 0 = 2

x = 2

Substitute x = 2 into either of the 2 equations and evaluate for y

Substituting into (1)

2 + y = 2 ( subtract 2 from both sides )

y = 0

one solution is (2, 0 )

¿Cuál de las siguientes respuestas es equivalente a 5 km?
(3 puntos)
50.000 metros
500 metros
5.000 metros
0.005 metros​

Answers

Answer:

5

[tex] 5 \times 100 = 500[/tex]

find the length of the hypotenuse of a right triangle if a=6 and b=10

Answers

Answer:

Step-by-step explanation:

6^2 + 10^2 = c^2

36+100 = c^2

136 = c^2

square root both sides

c = square root 136

No file, guessing, or random answers
a population has a standard deviation of 20.2. what is the standard error of the sampling distribution if the sample size is 121? round your answer to two decimal places.
A) 1.84
B) 1.44
C) 1.55
D) 1.68

Answers

Answer:

A) 1.84

Step-by-step explanation:

I just took the quiz

The standard error of the sampling size is 121 is 1.84

What is standard error?

"a measure of the statistical accuracy of an estimate, equal to the standard deviation of the theoretical distribution of a large population of such estimates."

"In the standard error formula, the factor sqrt[ (N - n ) / (N - 1) ] is called the finite population correction or fpc. When the population size is very large relative to the sample size, the fpc is approximately equal to one; and the standard error formula can be approximated by:

σx = σ / sqrt(n)."

Given,

Standard deviation of the sample is 20.2

and sample size is = 121

Standard error is = [tex]\sigma/\sqrt(n)[/tex]

i.e. standard error = [tex]20.2/\sqrt(121)[/tex] = 20.2/ 11 = 1.84

Hence, option A is true.

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Help please this is for an important test

A cup on the teacher's desk contains 12 pens. There are 3 pens with blue ink and 9 pens with black ink. One student at a time selects a pen at random to sign the attendance sheet and then puts the pen back in the cup.

What is the probability that the first three students all randomly select a pen with blue ink?

A. 1/4
B. 1/27
C. 1/64
D. 1/220

Answers

We have 12 pens in total

P(first three pens are blue with replacement) = 3/12 * 3/12 * 3/12 =

(1/4) * (1/4) * (1/4) =

1/ 64

The required probability  that the first three students all randomly select a pen with blue ink is 1/64. option C is correct.

Given that,
A cup on the teacher's desk contains 12 pens. There are 3 pens with blue ink and 9 pens with black ink. One student at a time selects a pen at random to sign the attendance sheet and then puts the pen back in the cup.

What is probability?

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

Here,
Total number of sample = 12
Favorable outcome = 3
Required probability  that the first three students all randomly select a pen with blue ink = 3 / 12 × 3 / 12 × 3 / 12
                             = 1 / 64

Thus, the required probability  that the first three students all randomly select a pen with blue ink is 1/64. option C is correct.

Learn more about probability here:

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A large popcorn bag holds four times as much as a small popcorn bag. At the end of a party,

3 1/3 small bags and 2 1/4 large bags were left.


a) How many small bags would the leftover popcorn fill?


b) How many large bags would the leftover popcorn fill?


Please help me fast, also show all work and steps please:)

Answers

Answer:

A]  37 / 3 = 12 1/3 ; B] 37 / 12 = 3 1/12

Step-by-step explanation:

Let small popcorn bag hold = p units popcorn. So, large popcorn bag hold 4 times ie 4p units popcorn.

Left popcorn = 3 1/3 ie 10 / 3 small bags , & 2 1/4 ie 9 / 4 large bags.  

So, total popcorn left = Sum( No. of popcorn in each bag x no of bags) =        [ 10 p / 3 ] +  [ (9 x 4) p / 4 ] = 10p / 3 + 9p  = (10p + 27p) / 3 = 37p / 3

A] Small bags for left popcorn = Total left popcorn / Per small bag popcorn  = ( 37p / 3 ) / (p)  = 37 / 3 = 12 1/3

B] Large bags for left popcorn = Total left popcorn / Per large bag popcorn   =  ( 37p / 3 ) / (4p) = 37 / 12 = 3 1/12  

sine is positive in
Your answer:
o the 1st and 2nd quadrants
O the 1st and 3rd quadrants
o the 1st and 4th quadrants
o the 2nd and 3rd quadrants
Please help

Answers

Answer:

sin is only positive in 1st and 2nd quadrants

Step-by-step explanation:

As you may know, sine is defined as y-term or value in (x, y). You can go see a unit circle.

Remember that sine is y while cosine is x.

Since sine is y, It'd be a horizontal line. And since it's a horizontal line, it intersects two points in a unit circle.

Q1 and Q2 both are positive while Q3 and Q4 are negative.

Consider the sequence 1, 3, 9, 27, 81, … Which statement describes the sequence? The sequence diverges. The sequence converges to 1. The sequence converges to ∞. The sequence converges to –∞.

ANSWER: A

Answers

I agree with answer a

Answer:

a

Step-by-step explanation:

just took it!

WILL


GIVE


BRAINLIST



FIND THE OPPOSITE OF THE NUMBER


21

Answers

Answer:

it's

-21

or 12

which one you mean

2. Katelyn flips a coin and rolls a standard 6-sided die. What is the probability that she
flips tails and rolls a 3?
1/2
1/4
1/8
1/12

Answers

Answer:

1/2 because a coin is a 50/50 % chance of both sides

Answer:

1/12

Step-by-step explanation:

It says that she flips a coin and a dice. So you do 2x6=12. And you get 1/12. Sorry if the explanation doesnt make sense.

At a local plant sale, Janice was selling Golden Barrel Cactus plants and baby Saguaros. During the sale, she sold 5 times as many Saguaros ($6 each) as Golden Barrels ($10 each). She made a total of $720 during the plant sale. How many Saguaros did Janice sell? A. 18 B. 40 C. 72 D. 90

Answers

Step-by-step explanation:

The answer is D 90

Answer:

Given F(x) = 3x-2 and G(x) = 4-x2. Evaluate 2F(1) - 3G(3).

Answers

Answer:

[tex]9x^{2} -34[/tex]

Step-by-step explanation:

Use the given functions to set up and simplify [tex]2F(1)-3G.3.[/tex]

The point in the middle between 3G and 3 is a multiplication sign btw

Factor 4x2 - 1.

A) (2x + 1)(2x - 1)
B) (2x - 1)(2x - 1)
C) (4x - 1)(x + 1)
D) (4x + 1)(x + 1)

Answers

Answer: A) (2x+1)(2x−1)

How to: Since both terms are perfect squares, factor using the difference of squares formula,

Have a great day and stay safe !

Please help me I've been on this question for like and hour-

Answers

Answer:im so sorry i dont know this one

Step-by-step explanation:but i would try adding subtracting or divison

Answer:

21

Step-by-step explanation:

We can use a proportion to solve this problem

8 : 33.6 = 5 : OP

OP = (33.6 x 5)/8 = 21

(100 POINTS WILL MARK BRAINLIEST FOR ACTUAL ANWSERS) Write an equation in standard form of the ellipse with vertices (0,-2) and (8,-2), and a focus located at (7,-2)

Answers

Answer:

(x-4)^2 / 16 + (y+2)^2 / 7 = 1 or 7x^2-56x+16y^2+64y+64=0

Step-by-step explanation:

Either one should be right I think. Hope this helps.

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