In the given figure, ABCD is a trapezium in which AD || BC,
ABC = 90°, AD = 16 cm, AC = 41 cm and BC = 40 cm. Find the
area of the trapezium,

 In The Given Figure, ABCD Is A Trapezium In Which AD || BC,ABC = 90, AD = 16 Cm, AC = 41 Cm And BC =

Answers

Answer 1

Answer:

252 cm²

Step-by-step explanation:

Find AB:

AB² = 41² - 40²

AB² = 81

AB = √81

AB = 9 cm

Area of the trapezium = ½(a + b) × h

Where,

a = 16 cm

b = 40 cm

h = 9 cm

Area = ½(16 + 40) × 9

Area = ½(56)×9

Area = 252 cm²


Related Questions

Which equation represents the function graphed on the coordinate plane?
g(x)=|x+4|-2
g(x)=|x-4|-2
g(x)=|x-2|-4
g(x)=|x-2|+4

please help me this is due in a couple of minutes!!!!!!​ please help me.

Answers

Answer: A g (x)= [x+4]-2

Step-by-step explanation:

calculate the perimeter of this figure to the nearest tenth

Answers

Answer:

40.9

Step-by-step explanation:

Perimeter = 8 + 10 + 10 + 4 + 8.9

=> 20 + 4 + 8.9 + 8

=> 32 + 8.9

=> 40.9

This is already in the nearest tenth, so the answer = 40.9

If my answer helped, kindly mark me as the brainliest!!

Thank You!!

#4 Where is 44 on the number line?
A) At 22.
C) Between 6 and 7, but closer to 6.
B) Between 6 and 7, but closer to 7
D) Between 7 and 8, but closer to 7.

Answers

Answer:

B), Between 6 and 7, but closer to 7

Step-by-step explanation:

The square root of 44 is around 6.6, so closer to 7

You can prove this by multiplying 6.6 by itself

6.6 x 6.6 = 43.56

The relationship between two numbers is described below, where x represents the first number and y represents the second number.
The square of the first number is equal to the sum of the second number and 16. The difference of 4 times the second number and 1 is equal to
the first number multiplied by 7.
Select the equations that form the system that models this situation. Then, select the solution(s) of the system.

Answers

X=y+16

4y-1=7

Solve on both sides

4y=8

Y=8/2

Y=4

X= (4)+16

X=20

PLEASE HELP
Based only on the information given in the diagram, which congruence
theorems or postulates could be given as reasons why AHIJE AKLM?
Check all that apply.
А. НА
B. ASA
C. AAS
D. LL
E. HL
F. LA

Answers

Answer:

Option A and Option C

Step-by-step explanation:

Given:

IJ ≅ LM

∠J ≅ ∠M

To Prove:

ΔHIJ ≅ ΔKLM

              Statements                           Reasons

1). IJ ≅ LM                               1). Given

2). ∠J = m∠M                          2). Given

3). ΔHIJ ≅ ΔKLM                    3). By HA property Or AAS property of

                                                    congruence

Therefore, Option A and Option C are the correct options.

pweese helppppppp meeeeeee

Answers

Answer:

No solution

Step-by-step explanation:

Graph these two equations and find a point where they intersect.

If they intersect, record the x values it intercepts. If it doesn't intersect, then it is no solution.

Pencils were ordered in boxes containing 6 pencils each. The grade level has 100 students. If the teachers want to start the year with 4 pencils per student, how many boxes do they need to buy before the school year starts?

Answers

Answer:

67

Step-by-step explanation:

(4*100)/6

=400/6

=66.67

Round to get 67

in triangle ABC, angle A is 25 degree, and Angle B is 105 degrees. what is the measure of angle c

Answers

Angle c= 60°

This is because 105+25+x=180°
Hope this helps and good luck!! :)

y=3x+5 6x - 2y = -10

Answers

Answer:

Parallel?

Step-by-step explanation:

6x = 2y + 10

3x = y + 5      divide both sides by 2

y = 3x + 5/3

 

Sam slopes, different intercepts.

Pllzzzz help it’s an exam !!!! A side of the triangle below has been extended to form an exterior angle of 125 . Find the value of x

Answers

Answer:35

Step-by-step explanation:

take 180 and subtract those numbers and u get ur answer

pls please please answer !!!

Answers

Answer:

B) 120

Step-by-step explanation:

hope this helpssssss

C is the correct answer

6(5x -3) PLEASE HELP THIS DUE TODAYYY

Answers

Answer:

-90

Step-by-step explanation:

pls help i'll give branliest

Answers

Answer:

50

Step-by-step explanation:

good luck!!

Answer:

50

Step-by-step explanation:

hope its correct..............

Given slope = -5 & y-intercept = (0,0) write the equation

Answers

y=-5x

Step-by-step explanation:

What is f(3) if f(x) = 2x + 1?

Answers

Plug in 3 for x
f(3) = 2(3) + 1
f(3) = 6 + 1
Solution is 7

Answer:

f(3) = 7

Step-by-step explanation:

To evaluate f(3), substitute x = 3 into f(x), that is

f(3) = 2(3) + 1 = 6 + 1 = 7

What does it mean for a line to have an undefined slope?

Answers

Answer:

it means it is a vertices line and the x coordinates never change

Step-by-step explanation:

which equation represents the line that passes through points (5, 4) and (-5, 0)

Answers

Find slope: (y2-y1)/(x2-x1)
(0-4)/(-5-5) = -4/-10 = 2/5
Y = 2/5x + b
Plug in one point
4 = 2/5(5) + b, b = 2
Solution: y = 2/5x + 2

The equation should be [tex]y = 2\div 5x + 2[/tex]

Given that,

The points are (5, 4) and (-5, 0)

Based on the above information, the calculation is as follows:

here we need to find the slope.

[tex]= (y_2-y_1)\div (x_2-x_1)\\\\= (0-4)\div (-5-5) \\\\= -4\div -10 \\\\= 2\div 5\\\\Y = 2\div 5x + b[/tex]

Now  

Put in one point

[tex]4 = 2\div 5(5) + b, b = 2[/tex]

So,

[tex]y = 2\div 5x + 2[/tex]

Learn more: https://brainly.com/question/1301963?referrer=searchResults

4
Erin says. "There are 30 boys in my sports club (to the nearest 10) and 20 girls (to the
nearest 10), so there must be 50 pupils to the nearest 10"
Is she right or wrong?
You must show working to explain your answer.

Answers

she is right.
30+20=50. they’re estimating so it will not be far off.

I NEED HELP PLS!! i am so confused on what to do if you can explain that would be awesome!

Answers

Answer:I am pretty sure that it is that you add 26 and 71 and then subtract it by 180 and then the other one is across so it would be the same answer so it would be 83

Step-by-step explanation: I hope this helped

which of the following equations represents the graph?
A. y = 3/4x - 3

B. y = 3/4x + 4

C. y = 4/3x - 3

D. y = 4/3x + 4

Answers

Answer is d. y=4/3+4

Answer:

D) 4/3 x + 4

Step-by-step explanation:

The y-intercept is at point (0, 4) and the x--intercept is at point (-3, 0).

The equation for every straight line is y = mx + b. y is y, m is the slope, x is x, and b is the y value in the y-intercept

Now we will use the formula for slope, which is rise/run or more understandable , the change in y/change in x.

y2 - y1/x2 -x1

0 - 4/-3 - 0

-4/-3 = 4/3

Remember when I said the y-intercept was (0, 4) and b was the value of the y in the y-intercept? 4 is the value of y in the y-intercept.

The answer is 4/3x + 4.

Triangle ABC has coordinates A(1, 1); B(2, 5); C(5, 1). What would be the coordinates of A'B'C' if you translated ABC left 2 and up 5 units? (Hint: x-values go left and right; y-values go up and down) *
A'(-1, 6) B'(0, 10) C'(3, 6)
A'(3, -4) B'(4, 0) C'(7, -4)

Answers

Answer:

A'(-1, 6) B'(0, 10) C'(3, 6)

Answer:

I would say it's the first one

write 268 in scientific notation

Answers

Answer:

2.68 x 10 to the second power

A sixth-grade student bought three cans of tennis balls for $4 each. The sales tax for each can was $.95. Which expression(s) can be used to find the total amount the student spent. Select all that apply.

Answers

Given :

A sixth-grade student bought three cans of tennis balls for $4 each.

The sales tax for each can was $0.95.

To Find :

The total amount the student spent.

Solution :

Price of each can including taxes :

p = $( 4 + 0.95 )

p = $4.95

So, price of 3 such cans including tax is :

P = p×3

P = $( 4.95×3 )

P = $14.85

Therefore, total amount spend by the student is $14.85 .

Factor the following expression: x^2+3x

Answers

X(x+3)

I haven’t done this but hope this works

Answer this please, will give 100 points.

Answers

Answer:

y=x doesent that mean 2=3 so what you do is the line that goes up thats y and the one that goes sideways thats x so at the to go to 2 then at the side go to 3

Answer:

Step-by-step explanation:

y=x doesent that mean 2=3

ANSWER ASAP FOR 35 POINTS!!
A pool has a diameter of 12 feet and a height of 2 feet. If each cubic foot holds 7.48 gallons of water, about how many gallons of water can the pool hold? Use 3.14 for pi.

A) 6764 gallons
B) 2255 gallons
C) 1691 gallons
D) 564 gallons

Answers

the answer is c 1691 gallons

Answer:

cc

Step-by-step explanation:

Does anyone know how to do this I’ve been trying for hours and I can’t find anything to help me?

Answers

Answer:

Honestly dude try your hardest u got this i belive in u ask your mom or dad or big brother or big sister if your seeing this right now im trying to help if if u love your mom u would do the same.

Step-by-step explanation:

The ratio of boys to girls in Coach Sheppard's class is 3 to 5. There are 20 girls in the
class.
What is the total number of students in Coach Sheppard's class?

Answers

Answer:

32 Students

Step-by-step explanation:

3/5 = 12/20

This means you add the boys and girls to get 32.

32!!!!!!!!!;!:!!:!!!!

On the first day after the new moon, 2% of the Moon's surface is illuminated. On the second day, 6% is illuminated. Based on this information, predict the day on which the Moon's surface is 50% illuminated and 100% illuminated.
illuminated.
PLEASE HELPPPPPPP!!!!!!!!!!!​

Answers

Answer:

Day 13= 50%

Day 26=100%

Step-by-step explanation:

Answers vary. Sample response: A simple approach is to attempt a linear model starting at Day 1. If the illumination is increased by 4% every day, then after 11 more days (after Day 2) it reaches 50%. In 13 more days, illumination reaches 100%. This gives a prediction of Day 13 for 50% and Day 26 for 100%.

The days where it is illuminated is Day 13= 50% and Day 26=100%

Linear model:

Here A simple approach should be considered for linear model that begins at Day 1. In the case when the illumination is increased by 4% every day, so after 11 more days (after Day 2) it reaches 50%. In 13 more days, illumination reaches 100%.

Therefore, we can conclude that The days where it is illuminated is Day 13= 50% and Day 26=100%

Learn more about surface here: https://brainly.com/question/3176584

PLEASE SOMEONE HELP MEEE

Answers

Answer:

Alternate interior angle

Step-by-step explanation:

Hope this helps.

Answer:

your answer is A ....

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