In the diagram if AE = AB, find the area shaded.

In The Diagram If AE = AB, Find The Area Shaded.

Answers

Answer 1

Answer:

Area shaded = 60 [tex]cm^{2}[/tex].

Step-by-step explanation:

From the given diagram,

Area shaded = Area of the trapezoid EBCD

Given that: AE = [tex]\frac{1}{3}[/tex]AB

                        =  [tex]\frac{1}{3}[/tex] x 12    (∵ AB = CD = 12 cm)

                        = 4 cm

                  AE = 4 cm,

Thus,

EB = (12 - 4) cm

    = 8 cm

EB = 8 cm

Area shaded = [tex]\frac{1}{2}[/tex] (EB + CD) x AD

                     =  [tex]\frac{1}{2}[/tex] (8 + 12) x 6

                     = (20) x 3

                     = 60

Area shaded = 60 [tex]cm^{2}[/tex]


Related Questions

triangle ABC has perimeter 22cm
AB= 8cm
BC= 5cm
by calculation deduce whether triangle ABC is right-angled triangle

Answers

9514 1404 393

Answer:

  not a right triangle

Step-by-step explanation:

The perimeter is 22, so we have ...

  AB +BC +CA = 22

  8 + 5 + CA = 22

  CA = 22 -13 = 9

If this is a right triangle, the sum of the squares of the short sides will be equal to the square of the long side.

  AB² +BC² = 8² +5² = 64 +25 = 89

This is not the same as ...

  CA² = 9² = 81

The triangle is not a right triangle.

_____

Additional comment

If you're familiar with a few Pythagorean triples, you know that a couple involving a side length 5 are (3, 4, 5) and (5, 12, 13). That is, (5, 8, 9) is NOT a Pythagorean triple, so you know immediately that those side lengths do not form a right triangle. (No calculation is necessary.)

Zach's pet mouse drinks 1.084 milliliters of water each week.
Round the amount of water to the nearest hundredth.

Answers

Answer:

it is 1.08

Step-by-step explanation:

it was this on khan

Select the three situations that model a sum of zero.
Explain your answer. ​

Answers

i believe it’s the first third and fourth because, 10 and -10 cancel out to 0, moving 12 and going -12 back also cancels out and the car returns to the ground so the toy car ends in the same place it started

Answer:

Step-by-step explanation:

1,2,4

1 Which formula shows a linear equation?
A. C = 2ar
B. A = ar?
C.V=ar
D.dA =-(

Answers

Answer:

A=AR is the answer

Step-by-step explanation:

HOPE IT HELPS YOU PLEASE MARK AS BRAINLIEST

3,000 is 1/10 of?-

300

300,000

3,000

30,000​

Answers

Answer:

30,000​

Step-by-step explanation:

3,000 times 10 is 30,000, therefore 30,000/10=3,000

Answer:

Step-by-step explanation:

3000 of 1/10

3000*0.1=300

what is the answer to..
Negative 10 is no less than 2 times a number plus 14​

Answers

-10 ≥ 2x + 14
-24 ≥ 2x subtract 14 from both sides
2x ≤ -24 read right to left
x ≤ -12 divide both sides by 2

i hope this helped! <3

find the constant of proportionality (r) in the equation y=rx

Answers

Answer:

5

Step-by-step explanation:

The constant of proportionality (r) in the equation y=rx is 3

How to determine the constant of proportionality?

The equation of the function is given as:

y = rx

Make r the subject

r = y/x

From the table, we have:

y = 36 when x = 12

So, the equation becomes

r = 36/12

Divide

r = 3

Hence, the constant of proportionality (r) in the equation y=rx is 3

Read more about constant of proportionality at:

https://brainly.com/question/24309476

#SPJ2

Please help me ASAP!!

Answers

Answer:

First one is 6

Second on is 45

write 6(9+2k)= -3 in written form

Answers

Answer:

27k+3=0

Step-by-step explanation:

Write in standard form.

this way?

The side lengths of two similar solids are in the ratio 1:3
What is the ratio of the areas?

Answers

Answer:

[tex]length = \frac{1}{3} \\ area = ( { \frac{1}{3} )}^{2} \\ = \frac{1}{9} \\ ratio \: of \: areas = 1:9[/tex]

PLEASE HELP ITS DUE SOON ILL GIVE BRAINLIEST IF U EXPLAIN UR ANSWER :((

Answers

Answer:

none

Step-by-step explanation:

Answer:

Step-by-step explanation:

this is a graph of y=2

the domain is {-∞< x<∞}, x can be any real Number


What would be the total cost of software F
over time?

Answers

10,500 I think? Sorry if it’s not right, I’ll give an explanation if needed :)

The total cost of software F over time is $5000.

What is a satisfaction rate?

For questions involving Customer Satisfaction Score, "Satisfaction Rate" is computed. It's calculated to provide you with an overall satisfaction rating of your respondents' responses to your goods and services.

Cost of Software F = $10000

Satisfaction rate with Software F = 90%

Cost of satisfaction level = $0

Cost of dissatisfaction level = $5000

Percentage of not satisfied = 10%

The total cost of Software F over time is :

= {($10000 x 90% - $0) + ($10000 x 10% - $5000)}.

= $5000

Therefore, cost of software F over time is $5000.

Learn more about the satisfaction rate : https://brainly.com/question/25940131

#SPJ2

What is the center of the circle x² + y2 - 4 = 0?

Answers

Answer:

(0,0)

Desmos graphing calculator is a great way to enter the formula of a circle and see a visual example.

Answer: (0,0)

Explanation: The equation for a circle is (x - h)^2 + (y - k)^2 = r^2, where (h,k) is the vertex and r is the radius. Rearranging the given equation, we have that x^2 + y^2 = 4. Therefore, the center of the circle is (0,0), and its radius is 2.

Which function has a greater rate of change? Function 1 Function 2 X-1 -2 -3 2 3 y 3 5 7-3-5 A) Function 1 B) Function 2 C) Neither, they are equal D) Neither, one is nonlinear ОА OB ОС​

Answers

Answer:

Step-by-step explanation:

Write a situation in which positive and negative numbers are used to describe values that have opposite meaning. What does 0 represent in this situation you created?

Animals hair grows at a rate of 1 •10^-5 miles per hour.How many miles will animals Jaír grow after 500 hours?Express answer scientific notation

Answers

Answer:

0.005

Step-by-step explanation:

10^-5 =0.00001

0.00001x1= 0.00001

0.00001x 500=0.005 miles

-8(-5b+7)+5b what the answers

Answers

Answer:

45b-56

Step-by-step explanation:

here and solve my recent question is for 100 points istg

Help out pls ill mark u brainliest

Answers

Answer:

B = 119

C = 119

Step-by-step explanation: 180 - 61

B and C are vertical angles

EASY POINTS ASAP:
The table shows a function. Is he function linear or nonlinear ?

Answers

answer : the answer is nonlinear

Given quadrilateral RSTU, what is the measure of angle R? HELPPPPPPP PLEASEEEEE!!!!!!

Answers

Answer: did you ever get the answer?

Step-by-step explanation:

Answer:

Step-by-step explanation:

?

10x + 5 - 2x + 9x.

HELP IMMEDIATELY PLEASEEE​

Answers

Answer: 17x+5

Combine 10x to the 9x which would be 19x then subtract the 2x which gives you 17x+5

Answer: 17x+5

Step-by-step explanation:

10x+5-2x+9x

10x-2x+9x+5

17x+5

What is an equation of the line that passes through the points (-7, -7) and (-7, 4)

Answers

Answer:

x=-7

Step-by-step explanation:

y=mx+c

m=rise over run

m=0

x=-7

Antonio tried to evaluate an expression. Here is his work: (57–8+5)÷9(17–14) = (49+5)÷93 Step 1 = (49+5)÷27 Step 2 = 54÷27 Step 3 = 2 Step 4 Is Antonio's work correct?

Answers

Answer:

Antonio's work is correct but his method is not

Step-by-step explanation:

(57–8+5)÷9(17–14) = (49+5)÷9

Antonio work:

Step 1 = (49+5)÷27

Step 2 = 54÷27

Step 3 = 2

Correct working:

Step 1:

Addition first

-8 + 5 = -3

= (57 - 3) ÷ 9(3)

Step 2:

= 54 ÷ 27

Step 3:

= 2

Antonio's work is correct but his method is not

He subtracted first when he is supposed to add first according to the rule of BODMAS

B - bracket

O - off

D - division

M - multiplication

A - Addition

S - subtraction

What is 3 x 3 x 3 x 3 is exponet form

Answers

it would be 3 to the power of 4 so 3^4

Answer:

3^4, or you could say three to the fourth power.

An exponent is a quantity representing the power to which a given number or expression is to be raised, usually expressed as a raised symbol beside the number or expression. 3 x 3 x 3 x 3 is equivalent to 3^4 because you are multiplying three four times.

*Warning: 3 x 3 x 3 x 3 is NOT 3 x 4!!!*

Divide £ 45 among 3 person so that their share are in the ratio 4:5:6

Answers

Answer:

12, 15, 18

Step-by-step explanation:

4x+5x+6x=45

15x=45

x=3

4x=12, 5x=15, 6x= 18

Who is drinking the fastest

Answers

Answer: Caiden

Step-by-step explanation:

For Caiden, at the second minute, the water is already at 7 ounces. However, Bella is still at 8 ounces. And Caiden is drinking at a speed of 2.5 ounces per minute while Bella is drinking at a speed of 2 ounces per minute.

Hope that helped!

Alicia, Quentin, and Rosalyn are siblings. Alicia is the oldest sibling. Quentin is four years younger than Alicia. Rosalyn is two years older than Quentin. The sum of the siblings’ ages, in years, is 48. How old is Alicia?

Answers

Answer:

Alicia is 18years

Quentin is 14years

Rosalyn is 16years

Step-by-step explanation:

Let the age of Alicia be x

Let the age of Quentin be y

Let the age of Rosalyn be z

If the sum of the siblings’ ages, in years, is 48 then;

x+y+z = 48.... 1

If Rosalyn is two years older than Quentin then;

z =y+2 ..... 2

Also if Quentin is four years younger than Alicia then;

y = x-4 ... 3

From 3:

x = y+4 ... 4

Substitute 2 and 4 into 1 to have:

y+4+y+y+2 = 48

3y + 6= 48

3y = 48-6

3y= 42

y = 14

Since x= y+4

x = 14+4

x = 18

Since z = y+2

z = 14+2

z = 16year

This means that;

Alicia is 18years

Quentin is 14years

Rosalyn is 16years

The campsite costs $10 a night and you stay 5 nights. If the sales tax is 8%, how much will it cost for 5 nights with tax?

Answers

Answer:

54

Step-by-step explanation:

5*10 = 50

50 * 1.08 = 54

A pipe is leaking in the school bathroom. It has leaked 3 gallons of water in 6 hours.
COP=
HELPP PLZ

Answers

Answer:

It leaks half a gallon each hour.

Step-by-step explanation:

Answer:

Call the plumber

Step-by-step explanation:

If the school people refuse, make a petition. Ask around if they want a new pipe or fix it and collect their signatures. If the school still refuses, you can report them to the cops. If this was a question, it leaks 1/2 gallon per hour.

Simplify e⁰. answer it please

Answers

1 is the answer, anything simplified like that is 1

Need Help ASAP.

Use the graph to answer the following questions. (NOTE: LOOK AT THE KEY!!!)

How many years does it take a cardboard box to decay?
A.) 8
B.) 4
C.) 20
D.) 25

Answers

Answer:

20

Step-by-step explanation:

jdjdjsnnxkdkcndjkx

Answer:

20 years

Step-by-step explanation:

Hope this helps!

Brainiest?

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