Mathematics High School

Two trapeziums are similar, thee area of one of the trapezium is 4times that of the other. Determine the ratio of the perimeter & the corresponding side length of the trapezium​

Answers

Answer 1

Answer:

The ratio of the perimeters of the two trapezium is 2

The ratio of the corresponding sides of the two trapezium is 2

Step-by-step explanation:

The given parameters in the question are;

Two trapeziums are similar

The area of one trapezium = 4 × The area of the other trapezium

Let, A₁, and A₂ represent the area of the two trapeziums, we have

A₁ = 4 × A₂

∴ A₁/A₂ = 4

Given that ratio of areas = (Ratio of sides)²

Ratio of sides = Ratio of perimeter

∴ Ratio of areas = (Ratio of perimeter)²

Therefore, given that the ratio of the areas of the two trapeziums A₁/A₂ = 4, we have;

Ratio of areas = 4 = (Ratio of sides)²

The ratio of the corresponding sides = √4 = 2

The ratio of the corresponding sides = 2

Ratio of areas = 4 = (Ratio of perimeter)²

The ratio of the perimeter = √4 = 2

The ratio of the perimeter = 2

Answer 2

Answer:

The ratio of the perimeters of the two trapezium is 2

The ratio of the corresponding sides of the two trapezium is 2

Step-by-step explanation:

The given parameters in the question are;

Two trapeziums are similar

The area of one trapezium = 4 × The area of the other trapezium

Let, A₁, and A₂ represent the area of the two trapeziums, we have

A₁ = 4 × A₂

∴ A₁/A₂ = 4

Given that ratio of areas = (Ratio of sides)²

Ratio of sides = Ratio of perimeter

∴ Ratio of areas = (Ratio of perimeter)²

Therefore, given that the ratio of the areas of the two trapeziums A₁/A₂ = 4, we have;

Ratio of areas = 4 = (Ratio of sides)²

The ratio of the corresponding sides = √4 = 2

The ratio of the corresponding sides = 2

Ratio of areas = 4 = (Ratio of perimeter)²

The ratio of the perimeter = √4 = 2

The ratio of the perimeter = 2

Related Questions

A construction company can remove 3/3/4 metric tons of dirt from a construction site in 1/1/8 hours what is the unit rate in metric tons per hour write your answer as a fraction or a mixed number in simplest form

Answers

Answer:

3 1/3 metric tons per hour

Step-by-step explanation:

To find the unit rate, divide 3 3/4 metric tons by 1 1/8 hours (notice that the correct format is 3 3/4, not 3/3/4).

 3 3/4 metric tons       3.75 metric tons

---------------------------- = --------------------------

        1 1/8 hours                1.125 hours

It's easier to deal with decimal fractions here than with proper fractions.

The unit rate then comes out to be 3.75/1.125 metric tons per hour, or

3.33333 metric tons per hour, or   3 1/3 metric tons per hour

how do you do: -x-x-3x+2-5 ?

Answers

Answer:

=−5x−3

Step-by-step explanation:

Let's simplify step-by-step.

−x−x−3x+2−5

=−x+−x+−3x+2+−5

Combine Like Terms:

=−x+−x+−3x+2+−5

=(−x+−x+−3x)+(2+−5)

=−5x+−3

brainliest please?

Graph this equation :

y= 3/2 x + 2

Answers

answer: i can’t show you how to graph it but i suggest you look on calculator apps such as m a t h w a y s or. photo math

Express as improper fraction

Answers

the answer would be 13/5
13/5 is the answer :)

estimate a 20% tip for $31.15
$4.65

$3.10

$6.20

$12.40

Answers

Answer: 6.20$

Step-by-step explanation:

$6.23

I am going to explain it two different ways.

31.15 x 0.20 = 6.23
31.15 +6.23 tip = 37.38 for you total bill including tip

An easier way my mom taught me for tipping in restaurants is you look at the bill $31.15 in this case move the decimal to the left one place and that give you 10%..double it and you have your 20% tip.
3.11 + 3.11 = 6.22
This way you don’t have to take a calculator out in front of anyone to calculate the tip.

Helppppppppp please

Answers

Answer:

b : 1/4

Step-by-step explanation:

answer is 1/4 like they say

Can someone help me with this question? Explanations would be nice. Question: Right ΔKLM with m∠J= 45°, leg JK= 4√3
(Question was resubmitted because of misspelling.)

Answers

Angle J is given as a 45
Angle L is given as a 45
Angle K is 90 (it says it’s a right triangle so it has to have a 90 degree angle and 180-45-45=90)
The JK leg given equals 6.92
Leg LK equals 6.92
6.92^2 +6.92^2= the last leg which is 95.77^2
95.77^2=9.78
Leg JL equals 9.78

Answer:

Step-by-step explanation:

The ages of the members of the Chess Club and the Debate Team at Jana’s school are shown in the box plots.




Which statement is true regarding these data sets?




The range of the ages of the members of the Debate Team is greater than the range of the ages of the members of the Chess Club.


The number of members in the Chess Club and the number of members in the Debate Team is the same.


The majority of the members in each club are between 15 and 17 years old.


About 50% of the members of each club are 16 or older.

Answers

Answer:

C

Step-by-step explanation:

Answer:it’s c

Step-by-step explanation:

Choose the solids with approximately equal volumes.
9 cm:
5 cm
6 cm
9 cm
11 cm
cm
14
9 cm
9 cm
13 cm
-cm
14

Answers

Answer:

Adding 12 to the circle area is equal to the square area.

Or

s2 = 12 + A

Where

s = side of square

A = area of circle

So

s2 = 12 + 36

s2 = 48

Solve this for s to get the side length

Answer: It's the first cone (9cm, 9cm), the cylinder at the bottom (9cm, 3cm), and the sphere at the bottom (9/3sqrt4cm).

Step-by-step explanation: I got this right on Edmentum.

Simplify

x(2x + 3) + (x - 3)(x - 4)

Answers

Answer:

3x^2-4x+12

Step-by-step explanation:

x(2x+3)+(x-3)(x-4)

2x^2+3x+x^2-3x-4x+12

2x^2+x^2+3x-3x-4x+12

3x^2-4x+12

Answer:

3x² -4x + 12

Step-by-step explanation:

x(2x + 3) + (x - 3)(x - 4)

= 2x² + 3x + x² - 4x -3x + 12

= 3x² -4x + 12

How much air can the basketball
hold? With a radius of 3 inches. Round to the nearest hundredth.

Answers

Answer:

113.10 if you use the pi button

113.04 if you use 3.14

Step-by-step explanation:

We want to find the volume

V = 4/3  pi r^3

The radius is 3

V = 4/3 pi (3)^3

Using the pi button for pi

V = 113.09734

Rounding to the nearest hundredth

V = 113.10

If you use 3.14 for pi

V = 113.04

Write this expression with fewer terms, if possible:

- 8x + 2y + 1/2x - y

Answers

Answer:

=4x+y

Step-by-step explanation:

hope this helps :)

Find the Surface Of a rectangular prism with base of 4m by 5m and height 8m. ​

Answers


E height is kiss and

Answer:

184

Step-by-step explanation:

SA = 2LW + 2LH + 2WH

SA = 2(5 × 4) + 2(5 × 8) + 2(4 × 8)

SA = 2(20) + 2(40) + 2(32)

SA = 40 + 80 + 64

SA = 184

-Sienna Sushi <3

YW

Yaritza and eddy race to school on their bikes. Yaritza bikes 2 miles in 12 minutes, eddy bikes 3 miles in 15 minutes. Who is going faster?

Answers

I’m pretty sure it’s eddy because 12 divided by 2 = 6 and 15 divided by 3 is 5. And 5 minutes (eddy’s time to do one mile) is less than 6 minutes (Yaritza’s time to do one mile)

What is another way to write 46?


4×4×4×4×4×4

6×6×6×6

6+6+6+6

4+4+4+4+4+4

Answers

If you mean 4x6, then it would be C and D.

A would be 4^6 and B would be 6^4, both of which we don't want.

---

hope it helps

Answer:

None of the answers match your question.

HELP NO ONE IS HELPING AND I REALLY NEED THE ANSWERS PLEASE!!!!
How much NaBr solute is saturated at 70 degrees?
A.
110
B.
B.120

C.
130

D.
140

Answers

Answer:

120

Step-by-step explanation:

what's the answer to
375 = 15c

Answers

Step-by-step explanation:

Given

375 = 15 c

c = 375 / 15

c = 25

Hope it will help :)❤

25.

EXPLANATION:

The format 15c means 15 x c.

We know that the equation must equal 375.

So we can do 375 divided by 15 to find the missing value.

375/15 = 25.

We can check this by doing 25 x 15.

Hope this helps!

Tell whether the angles are adjacent or vertical. Then find the value of x.
to
128°
The angles are
vertical
X=

Answers

Answer:

x = 128

Step-by-step explanation:

Adjacent angles - Angles right next to each other. They share a common vertex

Vertical angles - angles that are vertically aligned with each other.

The angle that has a measure of 128 degrees and x are vertical angles

If you didn't know vertical angles are congruent so because one angle equals 128 degrees the other equals 128 degrees

x = 128

The given angle are the vertical angles and the measure of the angle x is 128°.

Given that,
To specify whether the angles are adjacent or vertical. Then find the value of x.

What is the angle?

orientation of one line with respect to the horizontal or other respective line is known as a measure of orientation and this measure is known as the angle.

Here,
By the observation, angle x and 128° are the vertical angles and by the property of the intersection of the line both are equal angles so the measure of angle x is also equal to 128°.

Thus, the given angle is the vertical angle and the measure of the angle x is 128°.

Learn more about Angles here:

https://brainly.com/question/13954458

#SPJ2

What is the volume of a square prism that is 4 centimeters by 4 centimeters by 8 centimeters

Answers

Answer:

138 is the answer

Step-by-step explanation:

128 square

find two numbers whose sum is 44 and whose difference is 20 (PLEASE HELP I HAVE 5 MINUTES)

Answers

The correct answers would be 32 and 12.
32 + 12 = 40, and 32 - 12 = 20. Hope this helps! Have a great day!

Determine the follwoing quadratic equation:
0 = -3x2 + 17x – 10

What is the value of "B"?
A) -10
B)10
C)-17
D)17

Answers

Answer:

sorry but the epuation is in,but I will try

Step-by-step explanation:

0 = -3×2+17x-10

0= -6+17x-10

0+6+10=17x

16=17x

x=17/16

The answer to 0=-3x2+17x-10 is
C)-17

3 times the difference of a number and 4 equals 12. Find the number.

Answers

Answer:

Step-by-step explanation:

9

I didn't pay attention in class for a few days and now I'm lost. if somebody could at least explain proportions I would be very thankful.

Answers

Answer:

A proportion is a comparison of two numbers that each represent the parts of a whole. Essentially, a proportion says that two fractions are the same, even if the amount is different. For example, 1/2 of 10 marbles is the same proportion as 1/2 of 50 marbles.

Step-by-step explanation:

Can yall help
Thank you im really confused correct answer gets brainliest

Answers

The picture is not working it’s just back and I had to see my ugly face :3

HELP ME GUYS MY TEACHER IS WACHING I NEED HELP GUYS PLZZZZ

Answers

Multiply all 3 dimensions. Therefore, 1/32 cubic inches of im correct

Answer:

Step-by-step explanation:

Volume=LxWxH

So, we would have 1/4*1/4*1/2=1/32

1/32

Gabriel wants to solve the equation 5 eights M equals 25 what steps should he do to get him by itself on one side of the equation

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

Given the Equation :

(5/8)m = 25

The first step to take with this kind of equation is to multiply both sides by the denominator, 8

5m/8 * 8 = 25 *8

5m = 200

Then, we can divide both sides by 5 in other to isolate m

5m / 5 = 200 / 5

m = 40

Answer: m+40

Step-by-step explanation:

Given the Equation :

(5/8)m = 25

The first step to take with this kind of equation is to multiply both sides by the denominator, 8

5m/8 * 8 = 25 *8

5m = 200

Then, we can divide both sides by 5 in other to isolate m

5m / 5 = 200 / 5

m = 40

Find the value of x for the pic

Answers

x should be 7, 8x-4=60

The functions q and r are defined as follows.
q(x)=2x + 2
r(x)=-2x²-2
Find the value of r(q(2)).

Answers

Answer:

Step-by-step explanation:

[tex]r(x)=-2x^2-2\\ \\ q(x)=2x+2\\ \\ r(q(x))=-2(2x+2)^2-2\\ \\ r(q(2))=-2(2(2)+2)^2-2\\ \\ r(q(2))=-2(6^2)-2\\ \\ r(q(2))=-2(36)-2\\ \\ r(q(2))=-72-2\\ \\ r(q(2))=-74[/tex]

Arianna invests $2,000 into an ETE which earns 2% per year. In 10 years, how much will Arianna's investment be worth if interest is compounded monthly? Round to the nearest dollar. Workspace V 3 < TI​

Answers

Answer:

$2040

Step-by-step explanation:

I need the answer for the question -4(x-10)+8 for my homework please.

Answers

Answer:

i think the answer is

-4x+48

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