In the figure below, the triangles are similar. Find the ratio of their areas from larger to smaller.

Answers

Answer 1

Area of larger triangle is A1
21:14=x:8
x=21•8/14
x=168/14
x=12
x=base of triangle
A2=h•b/2
21^2=6^2+h^2
441=36+h^2
h^2=441-36
h^2=405
h= √405
h=20.12

A1=12•20.12/2
A1=6•20.12
A1=120.72

Area of smallest triangle is A2
A2=b•h/2
h=?
14^2=4^2+h^2
196=16+h^2
h^2=196-16
h^2=180
h= √180
h=13.42
A2=8•13.42/2
A2=4•13.42
A2=53.68

Ratio 120.72:53.68
Ratio=2.25

Related Questions

Find the surface area, given that the area of each hexagon is 166 square feet.

Answers

Answer:

1148 square feet

Step-by-step explanation:

Solve the equation 8x= 2/3 what does x stand for

Answers

Answer:

x=1/12

Step-by-step explanation:

Answer:

x = 1/12

Step-by-step explanation:

8x = 2/3

divide both sides of the equation by 8:

x = 2/24 = 1/12

help ill give extra poihts

Answers

Answer:

19 / (19+19+13) = 0.37254901... = ~ 37%

Step-by-step explanation:

19 is self-explanatory

(19+19+13) = 52

19 / 52 = 0.37254901...

0.37254901... = ~37%

brainliest plz

help what’s the total lol i’m confused

Answers

Answer:

Step-by-step explanation:

brainliest?

A certain field is a rectangle with a perimeter of 818 feet. The length is 175 feet more than the width. Find the width and length of the rectangular field.

Answers

9514 1404 393

Answer:

width 117 feetlength 292 feet

Step-by-step explanation:

Let w represent the width of the field. Then w+175 is its length. The perimeter is ...

P = 2(L+W)

818 = 2((w+175) +w) . . . . . fill in given values

818 = 4w +350 . . . . . . . . . simplify

468 = 4w . . . . . . . . . subtract 350

117 = w . . . . . . . . divide by 4

w+175 = 292 . . . . find the corresponding length

The width of the field is 117 feet; the length is 292 feet.

Which number is a perfect cube?
A. 8
B. 9
C. 16
D. 25

Answers

C. 16
2^3 = 16
2x2=4
4x2=8
8x2=16

8 is a perfect cube number. So, option A.) is correct.

A number is said to be a perfect cube if it can be multiplied by itself three times. X must equal [tex]y^3[/tex] if it is a perfect cube of Y. As a result, a natural integer, not a fraction, is obtained when we take the cube root of a perfect cube. Therefore, [tex]3\sqrt{x}[/tex] equals y.

Let, a be a integer number then for a number to be perfect cube

Number= [tex]a^3[/tex]..............................................where a is integer number

8= [tex]a^3[/tex]

So, a=2

9= [tex]a^3[/tex]

No, integer value exist, whose cube is 9.

16= [tex]a^3[/tex]

No, integer value exist, whose cube is 16.

25= [tex]a^3[/tex]

No, integer value exist, whose cube is 25.

Thus, 8 is a perfect cube number. So, option A.) is correct.

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A company makes 150 bags.
23 of the bags have buttons but no zips.
35 of the bags have zips but no buttons.
49 of the bags have neither zips nor buttons.
How many bags have zips on them?

Answers

35 because it was the only time zips was mentioned being on the bag

About how many times larger is 7.9×10^4 than 2.1×10^3?

Answers

Answer:

37.619047619 times larger

Step-by-step explanation:

7.9 × 10000

79000

2.1 × 1000

2100

79000 > 2100

79000 ÷ 2100

37.619047619

Necesito la versió en español plz 32

The ratio table below shows the relationship between the weight of apples purchased and the total cost of the apples. Apple Cost Weight (lb) Total cost ($) 1 2 8 6 12 10 20 When the weight of apples is increased by a factor of 4, by what factor does the total cost increase? 3 6 08

Answers

Answer:

Step-by-step explanation:

4. What is the slope of the graph of x – 2y = 8?

Answers

Answer:

The slope is 1/2

Step-by-step explanation:

Use the slope-intercept form y = m x + b to find the slope m

Hope this helps:)

What is the radius and diameter of the following circle?
7 cm
Radius
cm
Diameter =
cm

Answers

The guys is lying he is gonna get your up 7373

Is (9, 2) a solution to the system below?
x−4y=1, 2x−3y=3
1. Yes. (9, 2) is a solution to the system
2. No. (9, 2) is only a solution for the equation
3. No, (9, 2) is only a solution for the equation
4. No. (9, 2) is not a solution for either equation.

Answers

c sorry if i’m wrong btw

What is the area of the triangle?

Answers

40 right? Because base times height divided by two is area of a triangle

Answer:

Step-by-step explanation:

PLEASE HELP QUICKKKKK WILL GIVE BRAINLY
Question 2 (02.03)

Figure TUVW is transformed to T’U’V’W’, as shown:

Which of the following sequences of transformations is used to obtain figure T’U’V’W’ from TUVW?

1. Reflection about the y-axis followed by a translation left by 2 units

2. Reflection about the x-axis followed by a translation left by 2 units

3. Counterclockwise rotation by 90 degrees about the origin followed by a translation right by 2 units

4. Counterclockwise rotation by 90 degrees about the origin followed by a translation left by 2 units

Answers

I can’t see the figure

Which expression is equivalent to 64y18 – 1000z6?

Answers

Answer:

8 * (2y⁶ - 5z²) ( 4y¹² +10 y⁶z² + 25z⁴)

Step-by-step explanation:

64y¹⁸ – 1000z⁶ = 8 * (8y¹⁸ - 125z⁶) = 8 * ((2y⁶)³ - (5z²)³)

= 8 * (2y⁶ - 5z²) ( 4y¹² +10 y⁶z² + 25z⁴)

Helps please is for nooooowwwww

Answers

Answer:

The correct answer is the tor mar nada tor buda tor buni ami chai

If you flip a fair coin 5 times, what is the probability that you will get exactly 2 tails?

Answers

Answer:

.81

Step-by-step explanation:

PLZ ANSWER I REALLY NEED IT

A student is asked to simplify the given expression. The student's response demonstrates which common misconception?
Simplify: x^4/ x^4 Student's response: 0
A) add exponents when dividing B) dividing by zero is undefined C) subtract exponents when dividing D) a number raised to the zero power is equal to 0

Answers

The answer to this question is D

If the critic rates a total of 100 movies, what is the best prediction for the number of movies she gives exactly 3 stars?
А
27
B
47
50
D
35

Answers

Answer:

I think its gonna be 35 I'm not sure

Mrs Loke had 2920 buttons. She packed them into packets of 8 buttons. (a) How many packets of 8 buttons did she pack? (b) If she were to pack all her buttons into packets of 5 buttons, how many fewer packets of 8 buttons than 5 buttons would she get?

Answers

365 packets of 8 and 584 packets of 5 and she would have 219 fewer 8 button packets

HELP ASAP! PLZZZZZZZZZZZZ

Answers

wait i think it’s literally 6 times 11 which is 66

HELP ME PLSSSSSSSSSSS IF I FAIL I M Screwed

Answers

Answer:

Step-by-step explanation:

Guys what will be the population in five years.

I don’t know what i did wrong please help

Answers

Answer:

4990

Step-by-step explanation:

Multiply 638 by 5 then add 1800 and that's your answer

Answer:

4990

Step-by-step explanation:

638 x 5 = 3190

There is already a population of 1800, so then you add 3190 and 1800 to get 4900. The reason you add these numbers is because the population grows by 638 every year. They want to know how much it will grow in 5 years. You you multiply n (number) by y (year) to get t ( total).

Hope this helps!

Yours Truel, TheAnimeCatUwU

OMG PLEASE PLEASE PLEASE HELP!!!! I NEED THISS DONE ASAP!! Pleaseeee giving brainlest!!

Answers

Answer:

triangular prism

Answer:

it will be triangular prism

Helpppppppppp plsssssss

Answers

Answer:

1.05

Step-by-step explanation:

shop A: 2x3= 6

shop b: 5 for 1.10, 5 more for .55, so 1.65/10

1.65×3= 4.95

6-4.95= 1.05

please help me i only have 30 mins to an hour to finish

Answers

Answer:

D. 105 students

Step-by-step explantation: 11+10+21+6+2=50. So, 21 times 250 is 5250 and divided by 50 is 105.

Part B What is the unit for Warren’s data?
This is due tommorrow at 12:44PM!!!!!!!!

Answers

Answer: The unit for Warren’s data is the number of cars sold each day.

Sorry for the answer being so late!

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Answers

Answer: Find the volume of cone, whose radius is 8 cm and height is 5 cm. Thus, the volume of the cone is 334.93 cm3.

Answer:

251.33cm^3

Step-by-step explanation: Use the formula V= π • (d/2)^2 • H

HOPEFULLY THIS HELPS

The ratio of the perimeters of two squares is 2:3. If the
area of the larger square is 324 square feet, what is the length, in feet, of the side of the smaller square?

Answers

2:3 would be the right feet.

Where the above ratio are given, the length of the side of the smaller square is approximately 14.7 feet.

How to compute the above

The area of a square is calculated by squaring the length of its side. Given that the area of the larger square is 324 square feet, we have:

(3/2)x² = 324

To solve for x, we can rearrange the equation and take the square root of both sides -

x² = (324 * 2) / 3

x² = 216

x ≈ √216

x ≈ 14.7

Hence , the length of the side of the smaller square is approximately 14.7 feet.

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7)
Given the function f(x) = 2x^3 - 18x^2 + 36x + 12, find f(2).
A)
f(2)= 20
B)
f(2) = 24
f(2)= 28
D)
f(2)= 32

Answers

Answer:

f(2) = 28

Step-by-step explanation:

f(2) = 2(2³) - 18(2²) + 36(2) + 12

= 2(8) - 18(4) + 72 + 12

= 16 - 72 + 72 + 12

= 16 + 12

= 28

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