What is the area of triangle DEF

What Is The Area Of Triangle DEF

Answers

Answer 1

Answer:

76.5 cm²

Step-by-step explanation:

Given the triangles are similar , then

ratio of sides = a : b , so

ratio of areas = a² : b²

Here ratio of sides = 9 : 13.5 = 2 : 3

ratio of areas = 2² : 3² = 4 : 9

let x be the area of Δ DEF and using proportion

[tex]\frac{4}{34}[/tex] = [tex]\frac{9}{x}[/tex] ( cross- multiply )

4x = 306 ( divide both sides by 4 )

x = 76.5

The area of Δ DEF = 76.5 cm²


Related Questions

A gift shop sells souvenir magnets. The store is selling 3 magnets for $10. At this price, how much will it cost to buy 8 magnets? PLEASE HELP ITS A TEST I GIVE BRAINLIEST

Answers

So if it’s 3 for 10 you have to find the average. Divide 10 by 3 to get you 3.33 $ per magnet. But we need 8 magnets! So 8x3.33= 26.64$

At this price. The cost to buy 8 magnets will be $26.67.

What are ratio and proportion?

A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.

A gift shop sells souvenir magnets. The store is selling 3 magnets for $10. At this price. The cost to buy 8 magnets will be

Let x be the cost of 8 magnets.

We know that the ratio of the cost and the number of magnets will be constant. Then we have

x / 8 = 10 / 3

x = $26.67

At this price. The cost to buy 8 magnets will be $26.67.

More about the ratio and the proportion link is given below.

https://brainly.com/question/14335762

#SPJ6

negative five divided by five sevenths

Answers

Answer:

-7

Step-by-step explanation:

-5 ÷ 5/7

⇒ -5 × 7/5

⇒ -7

hope this helps !

pls mark as brainliest :))

[tex]\\ \sf\longmapsto -5\div \dfrac{5}{7}[/tex]

[tex]\\ \sf\longmapsto -5\times \dfrac{7}{5}[/tex]

[tex]\\ \sf\longmapsto -1(7)[/tex]

[tex]\\ \sf\longmapsto -7[/tex]

(Level 4) In a bag of orange, red, and yellow, 60% are orange, and 10% are red. There
are 6 yellow marbles in the bag. If you increase the number of orange marbles by 50%,
how many orange marbles are in the bag?

Answers

The answer is 22 orange marbles. Let me explain. Since 60% are orange and 10% are red, the rest, 30% is yellow. So we learn that every 10% equals to 2 marbles. If you add 60% + 50% = 110%

90% = 18

And we have to add 4 more because 10%×2.

So the total comes to 18+4= 22.

The height of two boys are in the ratio of 4:5 the shorter boy is 80 cm what is the height of the taller boy?​

Answers

Answer:

100cm

Step-by-step explanation:

The relationship between the ratio and the heights is 20. i.e 4 : 5 = 80 : 100

Hope this helps, please tag brainliest.

The height of the taller boy is 100cm.

What is ratio?

Ratio, is a term that is used to compare two or more numbers. It is used to indicate how big or small a quantity is when compared to another. In a ratio, two quantities are compared using division.

Let the height of the taller boy be x cm and smaller boy be y cm.

According to the given question.

The ratio of height of the two boys is 4:5.

Since, it is obvious that 4:5 is the ratio of the height of smaller boy to the taller boy. Because k will be the ratio of proportionality then 4k will given the smaller value and 5k will give the larger value therefore, 4:5 represents the ratio of height of smaller boy to the taller boy.

[tex]\implies \frac{y}{x} =\frac{4}{5}[/tex]

Also, the height of the shorter boy is 80cm.

Therefore,

[tex]\frac{80}{x} = \frac{4}{5}[/tex]

[tex]\implies 80\times 5 = 4\times x[/tex]

[tex]\implies 400 = 4\times x[/tex]

[tex]\implies x = \frac{400}{4}[/tex]

[tex]\implies x = 100cm[/tex]

Hence, the height of the taller boy is 100cm.

Find out more information about ratio here:

https://brainly.com/question/13419413

#SPJ2

Write 8/5 as a mixed number.Select the Hint button to view a hint.----------

Answers

Answer:

1 3/5

Step-by-step explanation:

8/5 has 1 whole; 5/5. If you subtract 5 from 8 you would get 3.

CAN SOMEONE HELP ME WITH THIS QUESTION MARKING BRAINLEIST BTW!

Answers

Answer:

not to familiar but maybe 1/10 or reverse

Step-by-step explanation: i think this might be right because the number the final arrow points to is 10

If a plane takes off from an airport that sits at an elevation of 150 ft and after traveling 105 miles has a flying altitude of 35,000 ft, what is the average slope of the plane's ascent

Answers

the answer is in the ģòògle

There are 20 students in the algebra class. One-half of the students were boys. One-half of the boys wore T-shirts. How many boys wore T-shirts to the algebra class? Boys wearing T-shirts were what fraction of the students in the class?

Answers

Answer:

¼ of the students

Step-by-step explanation:

½×20 = 10

½ × 10 = 5

[tex] \frac{5}{20} = \frac{1}{4} [/tex]

<3

Answer:

[tex] \frac{1}{4} [/tex]

Step-by-step explanation:

Refer the attachment for explanation

giving brainly if you actually checked and didn't guess.
is this correct? specifically not very sure with the 3/7.5 being equal with the rest​

Answers

Answer:

yes that is correct

Step-by-step explanation:

Find the base of a triangle if its area is 54 square centimeters and its altitude is 9 centimeters.

Answers

Answer:

12 cm

Step-by-step explanation:

A = bh/2

54 = b(9)/2

b = 54(2)/9

b = 12

Answer:

it's answer is 12cm

Step-by-step explanation:

54=1/2 x 9

54=2/1 x 1/9

Find the slope of each graph by comparing the ratio of the rise over the run. (only do #3)

Answers

Answer: undefined

Step-by-step explanation:

Question 3 is undefined.

rise/0 is undefined.

For detailed, step-by-step explanations you can visit my fiverr account: kesja_

I provide detailed explanations for math questions for as little as $1!

POSS
Given a cone with height of 10 cm and a base radius of 9 cm, what is the volume of the cone? Use 3.14 for 7. Round your answer to th
O 8.4 cm2
O 8.4 cm
O 8.47 cm?
O 847.8 cm3
1
2
3
4
5
6
7

Answers

Answer:

847.8cm3

Step-by-step explanation:

formula for volume of cone is 1/3πr^2h

The temperature of one furnace is 1,200°C and cools at a rate of 15°C per minute. The temperature of another furnace is 900°C and is heated at a rate of 5°C per minute. After how many minutes will the furnaces be the same temperature? Write the answer as a whole number or decimal.

Answers

Answer:

I just need points

Step-by-step explanation:

so I'm not sure

Can someone help me with this?
You may answer as much as you can.​

Answers

Answer:

17 obtuse triangle

Step-by-step explanation:

hope it helps

Answer:

11. corresponding

12. consecutive interior

13. alternate exterior

14. alternate interior

15. corresponding

16. consecutive interior

17. alternate interior

plz help

Factor:
49 − y^2

Answers

answer
(7+y) (7-y)
ahdhhd

PLEASE HELP!!
What is the range of y=x+3^2?
A: all real numbers
B:{3^2}
C: all real numbers except 9.
D:{1,3,9}

Answers

Answer:

A

Step-by-step explanation:

The function h is defined by h(m)=m^2−3m .

What is the value of h(9) ?

Answers

Answer:

h(9) =54 is did it on the test

can you help me with number 11 its fine the slope of of the line that passes through each pair of points​

Answers

Answer:

is the question complete!

Мне нужна помощь с 79% из 67 миль - это что?

Answers

Answer:

52.93 miles

Step-by-step explanation:

79% of 67 miles =

0.79 * 67 = 52.93

52.93 miles

-Chetan K

Ight Ight please answer please please!!

Answers

Answer:

y=x^2+1 is the answer i believe!

Step-by-step explanation:

this is because it is a parabola (quadratic) = not a line!

hope this helps!

Can someone pls help me

Answers

>> Answer

__________

[tex] \: [/tex]

b² = c² - a²

b² = 10² - (√19)²

b² = 100 - 19

b² = 81

b = √81

b = 9

If f(x) = √ x + 3, then f' (1) =

Answers

Answer:

4

Step-by-step explanation:

Do you see f(x) (f of x)? if the (x) part is a number, plug that number in as x on the other side of the equal sign. If I plug 1 in, I get 4, because the square root of 1 is 1, and 1+3=4.

f(x) = 4x + 7. Find the inverse of f(x).
A. f '(x) = 7 - 4.3
B. f 1(x) = 4x - 7
4
IT
c. f '(2)
x= 4
D. f '(x) =
7

Answers

Answer:

f '(x) = 4

Step-by-step explanation:

download photo math on your phone

Find the perimeter of this semi-circle with diameter, d = 65cm. Give your answer rounded to 1 DP.

Answers

Answer:

1658.3

Step-by-step explanation:

the perimeter of a semi - circle is simply half the circumference of a circle.

that is ;

1 / 2 ( pi ( r² ) )

where;

pi = 3.14 ( this is a constant that should be known and also equals 22 / 7 )

r = radius ( or half a diameter )

in our question, we are given a diameter with no radius

this means that we will have to halve the diameter to give us our radius

that is;

d = 65cm

r = 65 / 2

r = 32.5

so, using our formula;

1 / 2 ( 3.14 ( 32.5² ) )

1 / 2 ( 3.14 ( 1056.26 ) )

1 / 2 ( 3316.65 )

1658.3125

rounded to 1 DP;

1658.3

which is an equation of the line through (2,-1) and (0,5)

Answers

Answer:

[tex]y = mx + c \\ - 1 =2 m + c...(1) \\ 5 = (0)m + c \\ c = 5...(2) \: sub \: in \: (1) \\ - 1 = 2m + 5 \\ m = - 3 \\ y = - 3x + 5[/tex]

what's the formula for calculating the surface are of a cylinder​

Answers

Answer:

The general formula for the total surface area of a cylinder is T. S. A. =2πrh+2πr2 .

Answer:

the surface area of a cylinder:

TSA=2[tex]\pi \\[/tex]r(r+h)

Step-by-step explanation:

suppose a 95 confidence interval for a population proportion is (0.27 0.49)
-what is p
- what is the margin of error

Answers

HEY!!!!!!

plz Reffer the attachment

mark as brainlist please

A street sign that is 8 feet tall casts a shadow that is 5 feet long. At the same time, a nearby tree casts a shadow that is 28 feet long. What is the height of the tree?​

Answers

Answer:

44.8 feet

Step-by-step explanation:

What is the largest number?

Answers

Answer:

The biggest number referred to regularly is a googolplex (10googol), which works out as 1010^100. To show how ridiculous that number is, mathematician Wolfgang H Nitsche started releasing editions of a book trying to write it down.

Step-by-step explanation:

if this helped plz mark brainliest

through: (-1, 4) and (-4, 2)

Answers

Midpoint= (-2.5, 3)

[tex] distance \: = \sqrt{13} [/tex]

Equation:

[tex]y = \frac{2x}{3} + \frac{14}{3} [/tex]

Answer:

[tex]First \: you \: find \: the \: gradient \: of \: the \\ \: line \: using \: the \: formula[/tex]

[tex] \frac{ {y}{2} - y1}{x2 - x1} [/tex]

[tex] \frac{ 4 - 2}{ - 1 - - 4} = \frac{2}{3} = 0.66666666666[/tex]

[tex]Next, use \: the \: equation \: of \: a \: line \: \\ which \: is[/tex]

[tex](y - y1) = m(x - x1)where \: m \: is \: the \: gradient.[/tex]

[tex](y - 4) = 0.66666666666(x - - 1)[/tex]

[tex] = y - 4 = x + 0.66666666666[/tex]

[tex]Therefore,[/tex]

[tex]y = x + 4.66666667[/tex]

Step-by-step explanation:

[tex]Sry \: if \: it \: is \: wrong...[/tex]

[tex]\huge\red{T}\pink{H}\orange{A}{N}\blue{K}\gray{S}........[/tex]

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