. CDEF is a trapezium
. ABCF is a rectangle
. BD = 9cm
. AB = 6cm
. EF = 3cm
. perimeter of ABCF = 20cm

. CDEF Is A Trapezium . ABCF Is A Rectangle . BD = 9cm . AB = 6cm . EF = 3cm . Perimeter Of ABCF = 20cm

Answers

Answer 1

9514 1404 393

Answer:

  24 cm²

Step-by-step explanation:

To find the area of the trapezium, we must know the length CD. That means we must know the length BC. Fortunately, the perimeter of ABCF is given, so we have ...

  P = 2(AB +BC)

  BC = (P/2) -AB = (20 cm)/2 - 6 cm = 4 cm

Then CD is ...

  CD = BD -BC = 9 cm -4 cm = 5 cm

The area of the trapezium is given by the formula ...

  A = (1/2)(b1 +b2)h

  A = (1/2)(5 cm + 3 cm)(6 cm) = 24 cm²

The area of trapezium CDEF is 24 cm².


Related Questions

Which of the following is NOT one of the angle measures?

Answers

I believe that 95 isn't one of the measures

The 95 is not . Sorry if I’m wrong

5 numbers :
mode = n median= n+1 mean = n+2 Range = n+3

find 2 sets of numbers

Answers

Answer:

3,3,4,6,6

4,4,5,6,7

5,5,6,6,8

Step-by-step explanation:

mode = n

median= n+1

mean = n+2

Range = n+3

let sets:

a,b,c,d,e

mode = n, at least two of them are the same and equal to n

n,n,c,d,e

median belong to the set, in ascending order:

n,n,n+1,d,e

which means d,e ≥ n+1, d≠e

mean is n+2

5(n+2)=n+n+n+1+d+e

2n+9=d+e

Assume e is the maximum:

Range is n+3:

e-n=n+3

e=2n+3

d=6≥n+1

n≤5,

Set is n,n,n+1,6,n+3

n+1≤6≤n+3

3≤n≤5

3,3,4,6,6 bimodal

4,4,5,6,7

5,5,6,6,8 bimodal

The value v of your quarters in cents) is a function of n, the number of quarters you have.
a. Give 2 input-output pairs that represent this function.
b. Write an equation that represents this function.
c. Find the output when the input is 10.
d. Identify the independent and dependent variables.

Answers

Answer:

a) (2, 0.5)  (4, 1)

b) V(n) = 0.25n

c) $2.50

d) # quarters = independent

value = dependent

Step-by-step explanation:

The independent value is the number of quarters and the dependent variable is the value of cents and the  equation that represents this function is,

[tex]v(n)=25\times n\rm \;\;cents[/tex]

How to write algebraic expression?

Algebraic expression are the expression which consist the variables, coefficients of variables and constants.

The algebraic expression are used to represent the general problem in the mathematical way to solve them.

Steps to write down the simple algebraic expression-

Identify all the factors of the expression.Assume a variable for the changing values.Put a coefficient for the variable, if there is any rate of change of variable.Use constant numbers for the fixed values.

a. Give 2 input-output pairs that represent this function.

There is total 25 cent is 1 quarter. Thus, when if there are 2 quarters, then the value of cent is 50 and when there are 4 quarters, then the value of cents is 100 cents.

Hence, the two pairs should be as,

(2, 50), (4, 100)

b. Write an equation that represents this function.

As, v is the value of quarters in cents. There is total 25 cent is 1 quarter. The total quarter is n. Thus, the function can be given as,

[tex]v(n)=25\times n\rm \;\;cents[/tex]

c. Find the output when the input is 10.

Put the value 10 on the place of n in the above equation as,

[tex]v(10)=25\times (10)\\v(10)=250\rm cents[/tex]

The output when the input is 10 is 250 cents.

d. Identify the independent and dependent variables.

The independent value is the number of quarters and the dependent variable is the value of cents.

Hence, the independent value is the number of quarters and the dependent variable is the value of cents and the  equation that represents this function is,

[tex]v(n)=25\times n\rm \;\;cents[/tex]

Learn more about the algebraic expression here;

https://brainly.com/question/2164351

Please help ! This is due today .

Answers

Hey! In the first box, color 4 squares blue. I am not really sure exactly how many to color blue in the second one, but I would go with coloring 2 blue. In the third box, do not mark any squares blue. Hope this helps!

Answer:

Step-by-step explanation:

1)  because there are 10 total boxes in box 1  and they want 2/5 of them color in 4 boxes to make 4/10  which can reduce to 2/5

2) they say make it unlikey that a blue box will be picked.. so color in one box

3) now don't color any of the boxes.. so no matter which boxes is picked.. there isn't any blue ones. :)

Find uw if vw= 5/8 in

Answers

Answer:

4/8, which reduced is 1/2. Final answer!

Step-by-step explanation:

IF RIGHT PLZ GIVE BRAINLIEST

THANK U

HAVE A GREAT DAY AND BE SADE :)

XD

Abertura formada por dos
semi-rectas con un mismo
origen llamado vértice.

Answers

Umm I don’t know I need help to

Help!
Please show work

Answers

Answer:

131°

Step-by-step explanation:

to find the total degrees of this polygon, we use the equation

=> n - 2 × 180°                         (n= number of sides)

5 - 2 × 180° = 540°

now by using angle sum property,

540° = 80° + 148° + 81° + 100° + [tex]x[/tex]°

540° = 409° + [tex]x[/tex]°

[tex]x[/tex]° = 540° - 409°

[tex]x[/tex]° = 131°

Alyssa swims 3 laps in 12 minutes. At this same
rate, how many laps will she swim in 30 minutes?

Answers

Answer:

I think 7

Step-by-step explanation:

By the way I'm a swimmer, and even I could swim 3 laps under 12 minutes. This poor girl is slow...

The question is in the photo. Please answer with the correct answer.

Answers

Answer:

18ft

Step-by-step explanation:

just add all the sides. since it’s a rectangle, you there is 2 sides that’s 3ft long and that are 6ft long. so you would do 3+3+6+6

Answer 18 ft
Explanation: 3x6=18

Jennifer deposits $1,000 into an account that is compounded monthly for 4 years. The account earns 7% interest. What is the ending balance in the account at the end of the 4 years (assuming no new deposits or withdrawals)? SHOW THE WORK PLEASE ​

Answers

9514 1404 393

Answer:

  $1,322.05

Step-by-step explanation:

The compound interest formula is appropriate.

  A = P(1 +r/n)^(nt) . . . principal P earning annual rate r for t years, compounded n times per year

You have P=1000, r=.07, n=12, t=4, so the balance is ...

  A = $1000(1+.07/12)^(12·4) ≈ $1000(1.322054)

  A = $1,322.05

Jennifer's ending balance is $1,322.05.

Macy’s is having a one-day 35% off special. If Sarah bought an item for $124, how much was the discount?

Answers

Answer: Mark me Brainliest :)

$80.92

Step-by-step explanation:

Given:

discount : 35%

Original cost : $124.50

Discount:

$124.50 x 35% = 43.575 ⇒ $43.58

Discounted price

$124.50 - 43.58 = $80.92

Answer:

$80.93

Step-by-step explanation:

Need help don’t like math help

Answers

Answer:

$21.81

Step-by-step explanation:

add the reduced number to the new number

Answer:

21.81

Step-by-step explanation:

add 1.05 to 20.76


Starting money = $350.
Interest rate = 2.5%
Time - 3 years.
How much interest?
a) $7.50
b) $26.25

Answers

Answer:

Step-by-step explanation:

I=Prt

I=350(0.025)3

I=$26.25

PLZ HELP I WILL GIVE BRAINLIEST

Answers

Answer:

the third one

Step-by-step explanation:

bc like there are 2 boxes of 1 and 5 boxes of 1/6 so thats already 2 and 5/6 which applies to all of them. then there is 1 box of 1 and 2 boxes of 1/3 so thats 1 and 1/3 which applies to all of them also but when you make them have the same denominator you get 2 and 5/6 + 1 and 4/6 which deletes the second one. When you add you should get the same denominator so that deletes the first one so then you simplify that and the fraction should still be equal to the unsimplified fraction so you should get 4 and 1/2 if that makes sense

What is the perimeter of the larger triangles

Answers

It’s 12 cause the smaller triangle is smaller by times 3 so if u multiply all those and the missing one would be 12 cause 4 times 3 is 12

|x+3| x>5
now can you plz just give the answer

Answers

Answer: I would love to help you but I am confused on what you mean by the question.

Step-by-step explanation:

Find an equation for the perpendicular bisector of the line segment who’s endpoints points are (-9,3) and (1,7).

Answers

Answer:

y = 2/5x + 33/5

Step-by-step explanation:

(-9,3) and (1,7)

m=(y2-y1)/(x2-x1)

m=(7-3)/(1+9)

m=4/10

m = 2/5

y - y1 = m(x - x1)

y - 3 = 2/5(x + 9)

y - 3 = 2/5x + 18/5

y = 2/5x + 33/5

Erin needs to make at least a 75 on her semester exam to maintain a B in the class. Which number line correctly represents this situation?

Answers

Just need points so give me five stars

how do i simplify this problem?

Answers

Answer:

[tex]9x \frac{19}{4}[/tex]

Step-by-step explanation:

Given Expression:

[tex]\sqrt[4]{(3x^3)^3 times (3x^2)^5}[/tex]

Simplification:

[tex]9x\frac{19}{4}[/tex]

Adding and subtracting matrices
Question 16

Answers

Answer:

it is 16 and not 17 18 19 or 20 it is only 16

PLEASE HELP I WILL GIVE BRAINLIEST

Answers

[tex]X\leq 1[/tex]

Because the line show X is 1 or less.

Answer:

X [tex]\leq[/tex] 1

Step-by-step explanation:

Since the dot is solid that means it includes 1

and since the line is going towards negative infinity that is why it is less than

So X is less than or equal to 1 which is the first answer

Which of the following measurements, in centimeters (cm), could be the lengths of the sides of a triangle? Select all that apply
3 cm, 4 cm, 5 cm
4 cm, 10 cm, 14 cm
5 cm, 11 cm, 15 cm
06 cm, 6 cm, 13 cm
7 cm, 4 cm, 12 cm
8 cm, 10 cm, 17 cm

Answers

5cm I think or you can try 7cm

What is m⦟3?

⦟1 and ⦟2 form a linear pair. ⦟1 and ⦟3 are vertical angles.

m⦟1 = 57°.

What is m⦟3?

Answers

57 degrees because vertical angles are the same measure

Can anyone help me please I am so confused and stuck so please help

Answers

I am assuming that it is division.

The answers are B and D.

Is (1,7) a solution to the inequality y < 3x + 3?​

Answers

Answer:

yes

Step-by-step explanation:

because 7 is equal to 3 so the answer is correct

Which of the following expressions has a value of 3? Select all that apply.
o 6 = -2
4- (-1)
(-1)(-3)
(-2) - 1
O 15 = -5
o 4+1

Answers

Answer:

1) -6/-2

3) (-1)(-3)

In this scatterplot, the horizontal axis indicates years
since 2000 and the vertical axis indicates the population
of a pack of wolves. The equation of a trend line is also
given. Use it to predict the population in 2016.
11

Answers

Answer:

Population of wolves in 2016 = 23

Step-by-step explanation:

Equation of the line of best fit has been given as,

y = 1.5x - 1

Here, y = population of a pack of wolves

x = duration (in years) since year 2000

Duration between year 2000 and 2016 = 16 years

Now we substitute the value x = 16 in the equation of line of best fit,

y = 1.5(16) - 1

y = 24 - 1

y = 23

Therefore, population of wolves in 2016 = 23

The wheels of a car have a radius of 14 inches and are rotating at 750rmp. Find the speed of the car in mi/h

Answers

Add 750 plus 14 Answer: 764

20% of

games is 8 games

Answers

Answer:

games is 40

Step-by-step explanation:

you know that 20% of games is 8. let's take a look at this from a fractions view. 1/5 of 100 is 20. so if 8 is 1/5 of Games, multiply 8 x 5 to find the whole, which is 40, the answer!

Joey has 10 pairs of socks in his drawer. seven of them are white. what percent of colored socks does joey have?

Answers

I’m pretty sure it’s 30%

Answer:

30% of Joey's socks are colored.

Step-by-step explanation:

7/10 x 10

= 70/100

100-70= 30%

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