ABCF is a rectangle.
CDEF is a trapezium.
AE is a straight line.

AB = 9cm, AE = 11cm, DE = 5cm.

The perimeter of rectangle ABCF is 28 cm.

Calculate the area of trapezium CDEF.

Answers

Answer 1

The area of trapezium CDEF will be 42 cm².

What is surface area?

The quantity of space enclosing a three-dimensional shape's exterior is its surface area.

In other meaning, if we say side square then it is an area of the square but for a cuboid, there are 6 faces so the surface area will be external to all 6 surfaces area.

The perimeter of the rectangle ABCF is 28 cm.

Let's say BC = FA = x

Perimeter = AB + BC + CF + FA

Perimeter = 9 + x + 9 + x

Perimeter = 18 + 2x

2x + 18 = 28

x = 5 cm

Now,

Area of trapezium = (1/2) × sum of parallel distance × perpendicular distance.

Area of trapezium = (1/2) × (5 + 9) × 6

Area of trapezium = 42 cm²

Hence "The area of trapezium CDEF will be 42 cm²".

To learn more about surface area,

https://brainly.com/question/2835293

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Related Questions

you will get brainlyest if you do this
16x^0+5x^2*y-1= plz help now

Answers

Answer:

=5x^2y+15

Step-by-step explanation:

16x^0+5x^2*y-1=

16x0+5x2y−1

Combine Like Terms:

16+5x2y+−1

=(5x2y)+(16+−1)

=5x^2y+15

Hope this helps!!! If you ever need more help just ask in the comments or somewhere.

y=−2x+4 Complete the missing value in the solution to the equation. ( −2) Need it quick no explanation need.

Answers

Answer:

1 is missing value..... .....

solve 3(y+4) = 24

could you please explain how you found y ^^

Answers

Answer:

Answer is 68

y + 4 = 72

y = 68

Alright, so, we have 3(y+4) = 24
So, here is what we are going to do:
3(y+4) = 24
= 3*Y + 3*4 = 24
= 3Y + 12 = 24
Next up, we want to get rid of the 12.
= 3Y + 12 -12 = 24
= 3Y = 24
= 3Y/3 = 24/3
= Y = 8

3. Which number is a factor of 18. but not a multiple of 2? (10 Points)​

Answers

Answer:

Three or nine

Step-by-step explanation:

what is the solution to this system of equations
A. (4,2)
B. (8,4)
C. (4,8)
D. (2,4)​

Answers

Answer:

B. (8,4)

Step-by-step explanation:

To find the solution of the system, look at where the lines intersect. The intersecting point is (8,4). The solution to the system of equations is (8,4).

Answer:

B. (8,4)

Step-by-step explanation:

We want to find when these two equations are equal. The long way is to actually solve them using elimination or substitution of the equations. But, we can see an easier and clever way to solve them.

There is one specific time when equations are equal and that is when their lines intersect or cross, notice the graph and where they intersect. That specific coordinate where they intersect is your answer, (8, 4)!

How would the frog hop to meet the following requirements?
• From 3, make one hop and land on 6.
• From 6, make one hop and land on the opposite of 6.
• From the opposite of 6, make one hop to land on the opposite of the opposite of 6.

Answers

Answer:

He would make one hop to land on 6.

Step-by-step explanation:

He starts on 6, and hops to the opposite of the opposite of 6, which is 6.

There are 12 more boys than girls in the cafeteria. If there
are 22 people all together, how many boys are there?

Answers

22-12= 10 so they’re are 10 boys have a nice day

Please help! I think I know the answer but I don't trust myself xD (Theres a screenshot attached)

Answers

Answer:

the second one

Step-by-step explanation:

Answer:

The last one

Explanation:

-7 times 2 will be -14 and -7 times 5d would be -35d which is exactly what they ask for

Find the slope of a line that passes through (4, 1) and (6, 5).
plssss show your work thx plssss

Answers

Answer:

Slope = 2

Step-by-step explanation:

Answer:

is this what youre looking for ?

Step-by-step explanation:

Input Data :

Point A  ( x A , y A )  = (3, 2)

Point B  ( x B , y B )  = (7, 10)  

Objective : Find the slope of a line that passes through points A and B.

Formula : Slope  m =  y B − y A /x B − x A

Solution: Slope m = 10 − 2 /7 − 3  = 8 4

m = 2

A TV has an original price of $549. Enter the new price after the given percent of
change. 30% decrease

Answers

Answer:

384.3

Step-by-step explanation:

Carlos used 2 cups of yogurt and 6 tablespoons of granola for every 4 pears. Would it make sense to describe this situation with a part-to-whole ratio? Explain.

Answers

Yes, it would make sense to use a part to whole ratio because you are using different units of measurement. Whole would be cups and part would be tablespoons.
Yes because if you were going to make a massive pot of granola, you can plug the number in the ratio.

Find the midpoint of the line segment with end coordinates of:
(-3,-1) and (-4,2)

Answers

Answer:

(- 3.5, 0.5 )

Step-by-step explanation:

Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

( [tex]\frac{x_{1}+x_{2} }{2}[/tex], [tex]\frac{y_{1}+y_{2} }{2}[/tex] )

Here (x₁, y₁ ) = (- 3, - 1) and (x₂, y₂ ) = (- 4, 2) , then

midpoint = ( [tex]\frac{-3-4}{2}[/tex], [tex]\frac{-1+2}{2}[/tex] ) = ( [tex]\frac{-7}{2}[/tex], [tex]\frac{1}{2}[/tex] ) = (- 3.5, 0.5 )

find the fractional part the first number is of the second
examples:12;30,9;27,15;50

Answers

Answer:

a) 2/5

b) 1/3

c) 3/10

Step-by-step explanation:

a)12;30

= 12/30

= 2/5

b)9;27

= 9/27

= 1/3

c) 15;50

= 15/50

= 3/10

I NEED HELP NOOOOOWWWWWWWW!!!

Answers

Answer:

116

Step-by-step explanation:

85 out of 350 books in the library are about Mysteries.
What percent of the books are Mystery books?

Answers

Answer:

nearly 24%

Step-by-step explanation:

85=350×a/100

85=3.5a

a=85/3.5

nearly 24%

what does b equal. 2/3b +19=35

Answers

2/3b + 19 = 35

          -19    -19

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

2/3b  =  16

÷2/3    ÷2/3

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

b  =  24

PLEASE ANSWER QUICK!!! The volume of ammonia in a balloon is now 6.1 L after changing the temperature from 52 °C to 79 °C. What was the original volume?

Answers

Answer:

the original volume is 4.0L

Step-by-step explanation:

Step one:

given data

V1= ?

T1=  52 °C

V2= 6.1L

T2=  79° C

Step two

applying the volume temperature relationship, which is

V1/T1= V2/T2

substituting we have

V1/52= 6.1/79

cross multiply we have

52*6.1= V1*79

317.2= 79V1

divide both sides by 79

V1= 317.2/79

V1=4.0L

Decrease £16855.21 by 3.5%

Answers

Answer:

16265.27765

Step-by-step explanation:

3.5 percent of 16855.21 is 589.93235

16855.21-589.93235=16265.27765

please mark me as brainliest! i'd really appreciate it<3

A traffic engineer records a sample of the types of vehicles that cross a bridge. She counts 112 passenger cars, 18 light trucks, and 20 heavy trucks.

What is the APPROXIMATE probability that a random vehicle crossing the bridge is a passenger car?

Answers

Answer:

The approximate probability that a random vehicle is a passenger car is 74.67%

Step-by-step explanation:

Probability

The traffic engineer records 112 passenger cars, 18 light trucks, and 20 heavy trucks. The total of vehicles recorded is n=112+18+20 = 150.

We are required to find the probability that a randomly selected vehicle crossing the bridge is a passenger car. There are 112 passenger cars, thus the probability is:

[tex]\displaystyle p=\frac{112}{150}[/tex]

p = 0.7467

p = 74.67%

The approximate probability that a random vehicle is a passenger car is 74.67%

How do I solve this equation and find the vertex, axis of symmetry, y intercept and the domain and range?

Answers

Answer & Step by Step :

The vertex is    (2, -11)

The axis of symmetry is    x=2

The y-intercept is    (0, 1)

The Domain and Range are in the picture

stuff that WILL HELP YOU STUDYING AND CHECKING YOUR WORK (I PROMISE)

I used these to find your answer quickly^^^

Be sure to actually know the material because I promis you, you WILL see these again on countless amounts of tests

  - search m-a-t-h-w-a-y

  - search: d-e-s-m-o-s

(brainly won't let me type them out by don't add these '-' when searching them up)

Pls help it due in a hour

Answers

Answer:

The coordinates of the Midpoint of AB will be: (1/2, 5)

Step-by-step explanation:

Given the points

A(-2, 6)B(3, 4)

Finding the midpoint between (-2, 6) and (3, 4)

[tex]\mathrm{Midpoint\:of\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)[/tex]

[tex]\left(x_1,\:y_1\right)=\left(-2,\:6\right),\:\left(x_2,\:y_2\right)=\left(3,\:4\right)[/tex]

[tex]M.P=\left(\frac{3-2}{2},\:\frac{4+6}{2}\right)[/tex]

        [tex]=\left(\frac{1}{2},\:5\right)[/tex]

Therefore, the coordinates of the Midpoint of AB will be: (1/2, 5)

What is the solution to the system of equations graphed below?
y = -2x + 4
-5
5
y = x-5
O A. (3,2)
B. (0,4)
C. (3,-2)
D. (0,-5)

Please help

Answers

Answer:

C. (3,-2)

Step-by-step explanation:

Please please help! Will mark brainliest!

Answers

Answer:

-

Step-by-step explanation:

Which value from the set {0,1,17,72} makes the equation n + 8 = 9 true?

Answers

answer: 1

step-by-step explanation:  n + 8 = 9

therefore 9-8 = 1

The solution to the equation n+ 8 = 9 is 1 from the set {0,1,17,72} n = 1 satisfy the provided equation.

What is a function?

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a linear function in terms of n:

n + 8 = 9

Subtract 8 both side:

n + 8 – 8 = 9 – 8

n = 1

From the set, we can see the element 1 is the solution to the given equation.

Thus, the solution to the equation n+ 8 = 9 is 1 from the set {0,1,17,72} n = 1 satisfy the provided equation.

Learn more about the function here:

brainly.com/question/5245372

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whats 65 times 9 divided by 5

Answers

It’s 117, I used a calculator
65•9/5
If I solve according to pemdas this equation equals 117

Maribel sold 20% of the cupcakes she made. If she sold 35 cupcakes, then she made how many
cupcakes in all.

Answers

Answer:

20% x 5= 100%

35 x 5= 175

she has a total of 175 cupcakes

Select all of the equivalent for:
2(x+10)
Helppppp pls

Answers

Answer: c

Step-by-step explanation:

C. 2x + 20
Because you multiple 2 by x which is 2x and 2 by 10 which is 20

help please ! so i can finish this assignment

Answers

Answer:

-0.1, -0.02, [tex]\frac{5}{6}[/tex], [tex]|\frac{9}{8}|[/tex], 10

Step-by-step explanation:

In a standard 52-card deck, half of the cards are red and half are black. The 52 cards are divided evenly into 4 suits: spades, hearts, diamonds, and clubs. Each suit has three face cards (jack, queen, king), and an ace. Each suit also has 9 cards numbered from 2 to 10. 7.

Dawn draws 1 card, replaces it, and draws another card. Is it more likely that she draws 2 red cards or 2 face cards?​

Answers

Answer:

It is more likely she draws 2 red cards

Step-by-step explanation:

Given that:

Number of red d cards in deck = 26

Number of face cards = 4 * 3 = 12 face cards

If two cards are drawn with replacement ;

Probability = (required outcome / Total possible outcomes)

P(1st card red) = 26 /52) = 1/2

P(2nd card red) = 26 /52 = 1/2

P(1st card red) * P(2nd card red)

1/2 * 1/2 = 1/4 = 0.25

P(1st card face card) = 12/52 = 3/13

P(2nd card, face card) = 12/52 = 3/13

P(1st card face card) * P(2nd card face card)

3/13 * 3 /13 = 9/169 = 0.053

0.25 > 0.053

It is more likely she draws 2 red cards

please help!

Solve this system of linear equations using linear combination/elimination.

Madeline has 19 coins in her backpack. Some are nickels and some are quarters. The total value of the coins is $2.15. How many nickels and quarters does she have?

Answers

Answer:

8 quaters 3 nickels

Step-by-step explanation:

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