The trapezoid below is made up of a square and a triangle. The total area of the trapezoid is 60 square meters. The area of the triangle is 24 square meters. What is the length of a side of the square?

Answers

Answer 1

Answer:

6cm

Step-by-step explanation:

Area of the trapezoid = Area of the square + Area of the triangle

Area of the square= Area of the trapezoid - Area of the triangle

Area of the square= 60 - 24

Area of the square= = 36 square metres

Since Area of the square= L²

L is the length of the side of the square

L² = 36

L = √36

L = 6cm

Hence the required length is 6cm


Related Questions

The area of a rectangle is given as x^2+ 5x+6. Which expression represents either the
length or width of the rectangle?
a) (x-3)
b) (x + 6)
c) (x + 1)
d) (x+3)

Answers

Answer:

d) x + 3

Step-by-step explanation:

= x² + 5x + 6

Factorise :-

= x² + 2x + 3x + 6

= x(x + 2) + 3(x + 2)

= (x + 2)(x + 3) [Taking common]

Here we are getting (x + 3) as a factor of x² + 5x + 6 which will be either length or the width

Which statements about this system of equations are true? Check all that apply. Negative x + 6 y = 16. 8 x minus 6 y = negative 2.

Answers

Step-by-step explanation:

The given equations are :

-x+6y = 16 ...(1)

8x-6y = -2 ...(2)

The y-variable will be eliminated when adding the system of  equations.

Adding equations (1) and (2).

-x+6y+8x-6y = 16+(-2)

7x = 14

x = 2

Put the value of x in equation (1).

-2+6y = 16

6y = 16+2

y = 3

There is only one solution to the system of equations i.e. (2,3).

what is the place value of the 3 in the numeral : 247.3​

Answers

the place value of 3 in the following is (0.3)

Pls help

An airplane can Seat up to 175 passengers the airplane has already sold 87 tickets for a flight on the airplane which graph represents the solution to the inequality that find a number of tickets the air line can still sell

Answers

Answer:

the third graph is the answer

Answer:

It's A.

Step-by-step explanation:

Since 175-87 is 88, there is 88 or less available tickets left. So it is A.

Hope this helps.

son las partes de las que se compone el reporte de la encuesta:
A)lnicio, desarrollo y fin.
B) lntroduccion, desarrollo y conclusiones.
C ) Entrada,cuerpo y cierre
D )Ninguno de los anteriores ​

Answers

Answer:

Na dimio reso

Ta pidi yo

Era olvida yo contigo

Step-by-step explanation:

there's no explanation

Express in the form n : 1.
Give n as a fully simplified fraction.
20 : 15

Answers

Answer:

this is the answer

Step-by-step explanation:

20:15=20/15=4/3=n

Hence, 1:n=3:4

20 : 15 = 20/15 : 15/15 = 4/3 : 1

n = 4/3 which is simple but some people prefer 1 1/3

Of the teacups in Bonnie's Tea Shop, 1/12 are blue and another 1/12 are orange. What fraction of the teacups are either blue or orange?

Answers

Answer: 1/6

Step-by-step explanation:

This is a question that has to do with the addition of a fraction. Since we are given the information that of the teacups in Bonnie's Tea Shop, 1/12 are blue and another 1/12 are orange.

Then, the fraction of the teacups that are either blue or orange will be calculated as:

= 1/12 + 1/12

= 2/12

= 1/6

Therefore, the fraction of the teacups that are either blue or orange is 1/6.

Triangle HIJ is similar to triangle KLM. Find the measure of side MK. Round your answer to the nearest tenth.

Answers

Answer:

[tex]MK\approx 87.7[/tex]

Step-by-step explanation:

By definition, similar polygons have corresponding sides in a constant proportion. Therefore, we can set up the following proportion (ratio of corresponding sides) to solve for [tex]MK[/tex]:

[tex]\frac{20}{13}=\frac{MK}{57},\\MK=\frac{57\cdot 20}{13}\approx \boxed{87.7}[/tex]

Answer:

87.7

Step-by-step explanation:

Like stated previously similar triangle have side lengths with common ratios

*Create a proportionality to solve for MK*

57/13 = MK / 20

Now solve for MK

Multiply each side by 20

57/13 * 20 = 87.7 ( rounded )

MK/20 * 20 = MK

We're left with MK = 87.7

How do I solve this please? Can SOMEONE please help me this and the ones Iposted on my page.

Answers

Answer: [tex]\dfrac{15}{64}[/tex]

Step-by-step explanation:

Given

Inside radius of figure [tex]r_1=\frac{14}{2}=7\ ft[/tex]

Outside radius of figure [tex]r_2=\frac{16}{2}=8\ ft[/tex]

Area of outside region is [tex]A_1=\pi (8^2)[/tex]

Area of inside region [tex]A_2=\pi (7)^2[/tex]

Area of shaded region [tex]A_1-A_2[/tex]

Probability that point lies inside the shaded region is

[tex]\Rightarrow P=\dfrac{A_1-A_2}{A_1}\\\\\Rightarrow P=\dfrac{\pi (8^2-7^2)}{\pi 8^2}\\\\\Rightarrow P=\dfrac{64-49}{64}\\\\\Rightarrow P=\dfrac{15}{64}[/tex]

Picture is attached, please explain answer

Answers

Answer:

20 Yellow Counters

Step-by-step explanation:

You can see the clues with how the ratio changes.

To change from (1:4) => (5:1) is not because any were taken away from the value that is the Yellow counters, it is purely because the amount added to the blue counters was so large that they simply simplified the ratio.

The real value of the ratio if reverted back to it's original state would be:

=> (20:4)

95 blue counters is equivalent to 19 in the ratio. We know this because it increased from 1 to 20.

95/19 => 5

Each Ratio in the original one presented is equal to 5.

5 * 4 = 20 Yellow Counters

Answer:

sorry I don't Know ·ω·

Step-by-step explanation:

13.
Shown is an L shape.
3x
2y
13y
X
All measurements are in centimetres.
Find an expression for the area of the L shape.

Answers

Answer: 24 yards

Step-by-step explanation:

In parallelogram EFGH if m∡GHE=160 find ∡m∡EFG

Answers

Answer:

160°

Step-by-step explanation:

since it is a parallelogram it's opposite angles must be equal . So,

angle GHE = angle EFG

160 degree = angle EFG

Please HELP ITS DUE LATER TODAY PLZ HELP ILL AWARD BRAINLIST

Answers

here’s the answer on whiteboard

Hiiioo! Can someone please help me out! :)❤️

Answers

Answer:

-2/3

3/2

Step-by-step explanation:

slope is m in the equation y = m*x+b.

3y=-2x-3

y=-2/3x-1

parallel lines have the same slope, so slope of parallel lines is -2/3

perpendicular lines have negative the inverse

so -(-3/2)=3/2

3/2 is the correct answer to your question

On a coordinate plane, 4 lines are shown. Line A B goes through (negative 4, 3) and (4, 3). Line C D goes through (negative 3, 0) and (3, 2). Line F G goes through (negative 3, negative 1) and (3, negative 3). Line H J goes through (negative 1, negative 4) and (1, 2). Which of the lines that appear in the graph would be parallel to a line with a slope of 3 and a y-intercept at (0, 3)?

Answers

The line is HJ
Step-by-step explanation:
we know that
The formula to calculate the slope between two points is equal to

step 1
Find the slope line AB
we have
A(-4,-2),B(4,2)
substitute the values in the formula



step 2
Find the slope line CD
we have
C(-4,0),D(4,-4)
substitute the values in the formula



step 3
Find the slope line FG
we have
F(-3,-3),G(0,3)
substitute the values in the formula



step 4
Find the slope line HJ
we have
H(-1,3),J(1,-1)
substitute the values in the formula



step 5
Compare the slopes
we have




we know that
If two lines are perpendicular, then their slopes are opposite reciprocal
so
The slope of a line perpendicular to a line that has a slope of One-half must be negative 2
therefore
The line is HJ

I need help fast please!!!!

Answers

Answer:

f translates right 2 units to get g. sorry about my English

i cant do this lollllllll

Answers

The answer would be 6. When you do the parentheses, it gives you 3. 3 squared is 9, which added with 9 is 18. 18 divided by 3 is 6.

Answer:

12

Step-by-step explanation:

first, do the question in parenthesis

then do the questions in the exponent

then do the question with division

then do addition part

(7-4)^2 = (3)^2

9/3 = 3

9+3 = 12

Based on your observations, what conclusion can you draw about the lengths of AB DB AE EC

Answers

Answer:

The ratio of AD to DB is equal to the ratio of AE to EC. In other words, the pairs of lengths are proportional.

Step-by-step explanation:

Sample answer from plato

Solve for
20 = 5(x + 1)
X =

Answers

Answer:

x = 3

Step-by-step explanation:

5(x+1) = 20

x+1 = 20/5

or, x+1 = 4

or, x = 4-1

so, x = 3

your answer will be 3 so I’m that case x=3

Find the discriminant and the number of real roots for this equation. x^2 + 2x + 8 = 0
A. -28; no real roots B. 32; one real root C. 32; two real roots D.-28; one real roof​

Answers

Step-by-step explanation:

A is correct option there are no real roots

because discriminant is less than zero

Khairul deposited $ 600 in a bank at the end of 2010 and another $ 400 in the same bank at the end of 2011. The bank offers simple interest at a rate of 3% per annum. Find the total amount he has in his bank at the end of 2013.

the answer is 1078 .
(But how ) ​

Answers

Answer:

bat puro math pede history lng

Supriya is decorating her bedroom. She plans to hang strings of twinkle lights all the way around her walls. She measures the walls and finds she will need 36meters of lights.(area,lenght,or perimeter)

Answers

Answer:

Perimeter

Step-by-step explanation:

Required

What does 36m represent?

From the question, we understand that the 36m is the measurement of the wall.

This, in other words, means the perimeter of the wall.

Hence, Supriya measured the perimeter

If each dimension of the cylinder is doubled, how many
times larger will the volume of the cylinder be?

Answers

Doubling the radius will increase the base circular area to be quadrupled due to the squaring operation and thus increasing the volume of the cylinder to 4 times of its original value.

If y varies directly as x, and y is 48 when x is 6, which expression can be used to find the value of y when x is 2

Answers

Answer:

y = 8(2) = 16

Step-by-step explanation:

"If y varies directly as x," then y = kx, where k is the constant of proportionality.

Here, when x = 6, y = 48.  This data lets us calculate k:

48 = k*6, or k = 8.

Then the pertinent equation is  y = 8x.

If x = 2, y = 8(2) = 16

Carlos keeps his cards in an album. So far he has lots of full pages plus another 48 cards ready to go in. Altogether, he has more than 500 cards. If each page holds 20 cards, write an inequality that represents how many pages of cards Carlos might have. Solve the inequality. Guys how do i do this, this is hard, pls pls help.

Answers

Answer:

x ≥ 22.6 pages

Step-by-step explanation:

Each page = 20 cards

Cards ready to go in = 48

Let x = number of pages of cards Carlos might have

The inequality:

20x + 48 ≥ 500

20x ≥ 500 - 48

20x ≥ 452

x ≥ 452 / 20

x ≥ 22.6 pages

10^ log 2 to the base 10​

Answers

Answer:

the answer is 2

Step-by-step explanation:

It is like you are taking the antilogarithm of log 2

Answer:

2 is the answer of your question

hope it is helpful to you

What is the area? Bit confused on this one.

Answers

Answer:

A = 9x² + 12x

Step-by-step explanation:

The area (A) of the rectangle is calculated as

A = height × width

  = 3(3x² + 4x) ← distribute parenthesis by 3

   = 9x² + 12x

Answer:

For the blue one:

A1=length*breadth

   =3*3x^2

   =9x^2

For pink:

A2=length*breadth

    =3*4x

    =12x

So the total area is:

A=A1+A2

  =9x^2+12x

Question 13 (1 point)
Hans is jumping on a trampoline. His distance from the ground, in metres, in terms of time, is modelled by the
equation () - 1.5 sm(360s)" + 2. What does the 2 in this equation represent?
Solve

Answers

AaaaaaaaaaaaaaaaaaaaaaaaaaAAAAAAAAAAAAAAAAAAA

A farmer uses 1/3 of an acre of land to grow carrots.

The carrots are grown in

There are 15 rows of carrots.

What part of land does each row of carrots take up?

Answers

Answer:

the answer is 1/45

Step-by-step explanation:

just use the proportion method

Math tough, who agrees to this statement

Answers

Answer:

$1160

Step-by-step explanation:

And yes I agree to this statement

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