area of a trapizium is 84m².its pararrell sides are 12m and 9m. find its hiegh

Answers

Answer 1

Answer:

8m

Step-by-step explanation:

We can convert the trapezium into a rectangle to make finding the area easier.

Say that the top side is 9m, and that the bottom side is 12m.

12 - 9 = 3

3/2* = 1.5

*Note that we are dividing by two to get the "overhang" of the bottom side.

Now that we have our overhang, we can find the length of the "t-rect"**.

**"T-rect" refers to a rectangle that has been formed by changing a trapezium into a rectangle.

12 - 1.5 = 10.5

9 + 1.5 = 10.5

The length of the t-rect is 10.5.

84/10.5 = 8

The height of the t-rect is 8m.

Since the height of the original trapezium is equal to the height of the t-rect***,

***Since we have only adjusted the length

this also means that 8m would also be the height of the original trapezium.

Now, there is a second way of doing this.

Find the median of 12 and 9.

9, 10, 11, 12

10, 11

The median is 10.5.

84/10.5 = 8

You get the same answer. These methods could be used as a solve-then-check method to another problem like these.

Hope this helps. Have a nice day.


Related Questions

Can anyone help me please

Answers

Answer:

Step-by-step explanation:

Sorry bro can’t help you on that one

If f(x)= 3x^3+4 find f(-3)

Answers

The answer would be -77

Need help with this trigonometry word problem
The angle of elevation of the top of the building at a distance of 50 m from its foot on a horizontal plane is found to be 60°. Find the height of the building.
Please show your work

Answers

Answer:

[tex] \huge \boxed{ \boxed{ 50 \sqrt{3} \: or \: 86.6}}[/tex]

Step-by-step explanation:

to understand thisyou need to know about:trigonometryPEMDASlet's solve:

to find the height we need to use tan function because we are given adjacent and angle and we need to figure out opposite (height) [tex]\tan(\theta)=\dfrac{opposite}{adjacent}[/tex]

let opposite be AC

let adjacent be BC

according to the question:

[tex] \quad \: \tan( {60}^{ \circ} ) = \dfrac{AC}{BC} [/tex]

now we need a little bit algebra to figure out AC (height)

[tex] \sf \: substitute \: the \: given\: value \: of \: BC : \\ \tan( {60}^{ \circ} ) = \frac{AC}{50} [/tex][tex] \sf sustitute \: the \: value \: of \: \tan( {60}^{ \circ} ) \: i.e \: \sqrt{3} : \\ \sqrt{3 } = \frac{AC }{50} [/tex][tex] \sf cross \: multiplication: \\ 50 \sqrt{3} = AC[/tex][tex] \sf swap \: sides \: (your \: wil) : \\ AC = 50 \sqrt{3} \\AC = 86.6 \: ( \sf \: decimal \: if\: needed)[/tex]

[tex]\text{we are done!}[/tex]

if a triangle is dilated with a scale factor of 3, how is the perimeter of the triangle changed?

Answers

It’s changed by the perimeter by 2/5

A bike store sells scooters at a 54% markup. If the store sells each scooter for 69.30 then what is their markup price?

Answers

Answer:

pupi cupcakes de Peppa Peppa Peppa Peppa Peppan uyututhyuyyuuyig y j h ojyidjdldojwhd,dlwhqkdjckslcgjld

nkghw y d

mljhdhKv oh jroqjrjfjs

Miguel can type 42 words in 6 minutes
What is his rate in words per minute?

Answers

7 because 42 divided into 6 = 7
I believe it would be seven because your dividing in this equation :)

I NEED HELP ASAP! NEEDING SOMEONE

Answers

Answer:

The answer is G

Step-by-step explanation:

Help pls!! What is the location of L?

Answers

Answer:

Its kind of blurry but i think its 3,4

Step-by-step explanation:

If X axis and Y axis goes by 1, 2, 3, 4, 5, 6, 7, 8, 9, 10

Then it would be 3,4

Answer:

assuming you want the coordinates it is (3,4)

Step-by-step explanation:

can someone please like pretty please help me with this? i seriously need help and my teacher won’t help me with it even after I’ve told him I don’t understand it and it’s about to be due and Emmy whole grade depends on it and I have no idea how to solve it ! I’ll mark you brainleist and give a 5.0 rating, PLEASE HELP !!

Answers

Answer:

She made $1230 more on printed shirts than plain shirts in 25 weeks.

Step-by-step explanation:

Hi,

Okay, I have to admit, this is pretty complicated. But, it's not impossible :) First things first, we know that the equation in the table is the number of shirts sold after W number of weeks. We know that we need to, first, find the total number of shirts sold in 25 weeks.

The equation for the plain shirts is 5w -4. Let's start with that.

Plugin 25 for w to find the total number of plain shirts sold after 25 weeks.

5w - 4

5(25) - 4

= 121

She sold 121 plain shirts after 25 weeks. But we're not done yet, we still have to see how much money she made after selling 121 plain shirts. To do this, we have to multiply the total number of plains shirts sold by 15. (we know that each plain short costs $15, that's why we're multiplying it by 121)

When you do this...

121 x 15

You get...

$1815

She got $1815 after 25 weeks just for selling plain shirts.

Now, let's find the total cost of printed shirts after 25 weeks.

The equation for the printed shirts if 8w + 3.

8w + 3

8(25) + 3

= 203

She sold 203 printed shirts in 25 weeks. Let's find the cost. Each printed shirt costs $15 so we need to multiply 203 by 15.

203 x 15

You get...

$3045

She made $3045 by selling printed shirts in 25 weeks.

Now, we have to subtract $3045 by $1815 to find how much more she made. You get...

3045 - 1815

= $1230

She made $1230 more on printed shirts than plain shirts in 25 weeks.

I really hope this helps :)

Deon invests $15,000 in a savings account that pays 3% simple interest. How much will be in the account after 4 years if Deon makes no withdrawals or deposits to the account?

Answers

Answer:

$16,800

Step-by-step explanation:

The amount that would be in the account = amount deposited + interest earned on deposit

interest earned on deposit can be determined by determining the simple interest

Simple interest = principal x time x interest rate

principal = the amount deposited = $15,000

Time = the duration of the deposit = 4 years

interest rate = the percentage on deposit that would be earned = 3%

15,000 x 0.03 x 4 = $1,800

The amount that would be in the account = $15,000 + $1800 = $16,800

need help with this please

Answers

Answer:

-2/5

Step-by-step explanation:

Exactly the opposite of the sign, opposite of + is negative (-)

i have to find the value of X, it’s in spanish:), and im trying to help a friend:)

Answers

answer is x = 10 degrees

Step-by-step explanation:

a right angle is 90 degrees. the angles added are 4x + 3x + 2x = 90.

so 9x = 90

divide by 9 on both sides

x = 10

Which triangle is congruent to ABC?

Answers

Well, I think it’s C

Here is a right square pyramid. Round answers in this problem to the nearest tenth if necessary. What is the volume of the pyramid? Remember V (square pyramid) = (1/3) Bh, where B = area of base.

Answers

Answer:

Step-by-step explanation:

r = radius h = height s = slant height V = volume L = lateral surface area B = base surface area A = total surface area π = pi = 3.14159 √ = square root

SOMEONE PLEASE HELP

If f(x) = x2 is vertically stretched by a factor of 7 to g(x), what is the equation
of g(x)?

Answers

The answer is A, or 7x^2
The answer is A g(x)=7x^2

State whether or not each of the triangles are similar (use either AA, SSS, or SAS)

Answers

Answer:

ΔABC and HGF are similar.

Step-by-step explanation:

In the given triangles ABC and HGF,

If both the triangles are similar,

Their corresponding sides will be proportional.

[tex]\frac{AB}{GH}=\frac{BC}{FG}= \frac{AB}{HF}[/tex]

[tex]\frac{72}{12}=\frac{48}{8}= \frac{84}{14}[/tex]

6 = 6 = 6

True.

Therefore, ΔABC and HGF are similar.

What is the distance between points (-4, 5) and (8, 40) on the coordinate plane?
SOME PLEASE HELP

Answers

The distance is 37
I attached a picture

Someone please help me I’ll give out brainliest please dont answer if you don’t know

Answers

Answer:

[tex]3x-1[/tex]

Step-by-step explanation:

[tex]3+2(x-2)+x=3+2x-2.2+x=(2x+x)+(3-4)\\=3x-1[/tex]

Answer:

3x-1

Step-by-step explanation:

trust me i know

How many 1 5 s are in 9?

Answers

Answer:

45

Step-by-step explanation:

To know how many 1/5 s are in 9, we will take the ratio of both numbers as shown;

9:1/5

= 9 ÷ 1/5

= 9 * 5/1

= 9 * 5

= 45

Hence there are 45 1/5s in 9

HELP PLEASEE!! What is the value of x in the triangle?
its a hypotenuse triangle with 3√2 on one side and x
answers:

a, 3 √2

b. 3

c. 6

d. 6 √2

e. 2 √2

Answers

Answer:

its mostly 6

Step-by-step explanation:

but did they give a answer sheet?

please help, will be greatful :)

Answers

what level is this question?

Answer:

2.3cm

Step-by-step explanation:

We can see that it's a right triangle, similar to the one on the bottom left. Because the long side is 4 times longer, the short side is 4 times longer as well. So it's around

0.57cm*4= 2.28cm

Rounding to the 1st decimal place 2.3cm.

Please note, that rounding to 2 decimal places the answer 2.28cm could be inaccurate, e.g. if the real length would have been close to 0.574(9) or 0.565, but all of those options still round to 2.3cm.

Someone plz help me giving brainliest

Answers

Answer:

1. ROUND

2. COMMUNITIVE

3. AREA MODEL

4. MIXED NUMBERS

FALSE

FALSE

TRUE

TRUE

Step-by-step explanation:

HOPE THIS HELPS YOU OUT! BE THE FIRST TO COMMENT /FREE ON THESE COMMENTS TO GET A FREE BRAINLIY AWARD! PLZ ALSO CONDISER MARKING ME BRAINLIEST AND THANKS! MY JOURNEY HAS JUST BEGAN ON BRAINLY SO ASK ME IF U HAVE ANY QUESTIONS! -BEACHVIBES23

Why do you think triangles and math are important and bridges you must use proper math terms and provide your reason as wide triangles and bridges are important must contain 3 to 4 sentences. Help

Answers

Well, from triangles we derive trigonometry which can be use to construct bridges, for example, if we want to construct a bridge using some kind of support belief it, it’ll probably be a triangular structure cause it supports more stability

PLS PLS HELP IM A HOPELESS 6th GRADER

Answers

Answer:

10

Step-by-step explanation:

You can count from point A to B.

Pls help me i’m on my test and i’m stuck
A car costs $45,000 new but depreciates at a rate of 19% per year. What is the value of the car after four years?
A
$19,371.02

B
$44,744.00
c.
$45,000.43
D.
$90,240.26

Answers

Answer:It is 19,371.02

Step-by-step explanation: If You Find out What 19 Percent of the number is then subtract it from your Number Then Repeat This 4 Times

There are 36 dinosaurs pictured in Karmita's book. If 2/3 of them were plant eaters, how many were plant eaters.
A.12 plant-eaters
B.18 plant-eaters
C.24 plant-eaters
D.28 plant-eaters

Answers

in order to solve your question, you first have to understand what 1/3 of 36 is. you can do that by dividing 36/3.

when you do this you get the answer of 12. 1/3 of 36 is 12.

to get the 2/3 part. Add 12 to the existing part that you have.

Therefore, you have 24 plant eaters.

Which of the following expressions is equivalent to the expression below?
z (2a + b) – (4a + b)

PLEASE HELP

Answers

Answer:

-2a

Step-by-step explanation:

FIND THE AREA (LEAVE EXPLANATION)

Answers

Answer:

82 mm^2

Step-by-step explanation:

you would have to find the area for 2 squares. The first is 8 x 9, so the area of that would be 72. The second square is 5 x 2, which is ten. Add those together to get 82

Each afternoon at leat 40 people buy coffee from a coffee shop .Write an inequality that represents this situation.Let x represent the number of people who buy coffee in an coffee in an afternoon

Answers

Answer:

x ≥ 40

Step-by-step explanation:

Given:

At least people buy coffee = 40

Number of people buy coffee = x

Find:

Inequality

Computation:

Number of people buy coffee ≥ At least people buy coffee

x ≥ 40

Can someone help me please

Answers

Answer:Alpaca.

traslaha

Step-by-step explanation:

Answer: c

Step-by-step explanation:

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