These two triangles are similar. If the base of △ A B C is 3 cm and the base of △ D E F is 7 cm, and the area of △ A B C is 7 cm², calculate the area of △ D E F. Round your answer to two decimal places.

Answers

Answer 1

Answer:

38.11 cm^2

Step-by-step explanation:

DEF is larger than ABC

therefore find the height of ABC

7 = 1/2 * 3 * h

h = 7 * 2/3

h = 14/3

So, lets find height for DEF, 7/3 = H/ 14/3

H = 98/9

A = 1/2 * 7 * 98/9

A = 38.11 cm^2


Related Questions

Simply the expression (5x+9y) - (11x-3y+7)

Answers

Answer:

-6+12y-7

Step-by-step explanation:

Who doesn't like short answers, instead of writing a hole paragraph.

Answer:

[tex]-6x + 12y - 7[/tex]

Step-by-step explanation:

[tex](5x + 9y) - (11x - 3y + 7)[/tex]

Lets open the brackets.

[tex]=> 5x + 9y - 11x + 3y - 7[/tex]

Now lets add/substract the like terms only.

[tex]=> 5x - 11x + 9y + 3y - 7[/tex]

[tex]=> -6x + 12y - 7[/tex]

Work out the answers to:
a) 7 x(-4)
b) (-6) x 8
c) (-5) × (-9)

Answers

Answer:

A=-28 B=-48 C=45

Step-by-step explanation:

-(7x4)= -28 so your first step is multiply the positive and the negative equals a negative (+)x(-)=(-) second is to multiply the numbers

-(6)x8= -28 same steps for the first

(-5)x(9) convert it to 5x9=45

What is the solution of the equation (4x + 3)2 = 18?
O x = 3 and x = -3
O x = -3 and x = 3
=
2
O x= -3+372 apd x = -3-3,2
4
4
x= 3+372 and x = -3 +372
4

Answers

Answer:

Step-by-step explanation:

2(4x+3)=18

8x+6=18

    -6  -6

8x  =  18

÷8     ÷8

x    =    2.25

ive tried multiple ways and they are all different to the provided answers

Sandy has 27 roses, 9 daisies, and 18 tulips. She wants to arrange all the flowers in bouquets. Each bouquet has the same number of flowers and the same type of flower. What is the greatest number of flowers that could be in a bouquet?

Answers

Answer:

The greatest number of flowers that could be in a bouquet is 9 flowers

Step-by-step explanation:

We solve the above question using Greatest Common Factor method. We find the factors of 27, 9 and 18. The greatest factor common to the 3 number is our answer.

The factors of 9 are: 1, 3, 9

The factors of 18 are: 1, 2, 3, 6, 9, 18

The factors of 27 are: 1, 3, 9, 27

Then the greatest common factor is 9.

The greatest number of flowers that could be in a bouquet is 9 flowers

Match each expression to the description shown. Answers may be used more than once.

Answers

Ok so 2(x+1) would be two times the sum of a number and one. “Sum of a number and one” is just “x+1” and then it’s two times that because the two is outside of the parentheses.

And then 2x+1 would be the product of two and a number increased by 1. The product is two and a number is 2x and then increased by 1 is the +1

Combine Like Terms
22+15x=34-17x​

Answers

Step-by-step explanation:

22+15x=34-17x

So now, the 34 will join the 22 and the 15x will join the -17x

22-34=-17x-15x

-12=-2x

So now, we divide both sides by -2x

and the negative will cancel negative so

x=6

How many cups are in 5 quarts

Answers

Answer:

20 cups are in 5 quarts

Step-by-step explanation:

Answer:20 cups

Step-by-step explanation:because each cup is 0.25 quarts

plz leave a like

Expand and simplify (x - 6)(x + 2)​

Answers

Step-by-step explanation:

hope it is helpful to you

plzzzzzzzzzzzzzzzzzzzzzzzzzzzzz

Answers

a) x(x+2)
B)2x(x-3)
C)5x(3-2x^2)
D)3x^2(3+x)

Find the sum of the first 40 terms of a geometric sequence where the first term is 16 and the common ratio is 1.1. 704 7,081.48089 7,805.62898 6,423.16445

Answers

Step-by-step explanation:

The nth term of a geometric progression can be determined by using the formula:

Tn=arn−1

where: a = first term and r = common ratio

Substitute the given values of first term and common ratio into the formula:

Tn=arn−1

T5=(40)(0.5)5−1

T5=(40)(0.5)4

T5=(40)(0.0625)

T5=2.5

A 20-oz bottle of soda is $1.79. A 32-oz bottle is $3.49. Which has the lower unit cost?
a) the smaller size
b) the larger size
c) the unit cost is the same

Answers

Easy, to find the unit cost, divide the price with the ounces.
For the 20-oz bottle of soda that is $1.79, divide 1.79 by 20 oz.
20/1.79= $11.17

For the 32-oz bottle, do the same.
32/3.49 = $9.17

The unit price of the 20-oz bottle would be $11.17, meanwhile the 32- oz bottle would have a unit price of $9.17.

The soda with the lower unit cost would be the larger sized bottle.

How would you solve equations with 3 sides or whatever this is

Answers

Answer: B. -4 < y < -1

Step-by-step explanation:

1. Subtract 2 from all three sides to isolate the variable in the center of the inequality

5 < 2 - 3y < 14

3 < -3y < 12

2. Divide each of the three sides by -3 to get y by itself, as each of the answers have y as independent.

3 < -3y < 12

-1, y, -4

3. Rearrange

-4 < y < -1 (b)

The price of a necklace was increased by 10% to £154.
What was the price before the increase?

Answers

Answer:

answer in attached picture

Answer:

£169.4

Step-by-step explanation:

£154.00 + 10% = 169.4

Brainliest Please??!!??

- ElizabethKate

Juan wants to solve the equation below using the Distributive Property.

4(6 – x) = 12
What should Juan’s first step be?
A. Multiply 4 by x.
B. Subtract x from 6.
C. Distribute 4 to (6 – x).
D. Subtract 4 from both sides.

Answers

Answer:

C. Distribute 4 to (6 - x).

Step-by-step explanation:

Person above is right.

Juan’s first step should be C. Distribute 4 to (6 – x).

What is distributive property of multiplication over addition?

Suppose a, b and c are three numbers. Then we have:

a(b + c) = a b + a c

(a(b+c) means a multiplied to (b+c). The sign of multiplication is usually hidden when using symbols and both quantities which are in multiplication are written together without space)

We are given an equation as;

4(6 – x) = 12

Here Juan wants to solve the equation, using the Distributive Property.

thus, 4(6 – x) = 12

First step is to distribute 4.

4(6) – 4(x) = 12

Then solve;

24 - 4x = 12

x = 3

Hence, Juan’s first step should be C. Distribute 4 to (6 – x).

Learn more about distributive property here;

https://brainly.com/question/5637942

#SPJ2

−40+10a= \,\,-70 −70

Answers

Answer:u did it wrong

Step-by-step explanation:

Find the value of n.

Answers

Answer:

20cm

Step-by-step explanation:

Answer:

n = 15

Step-by-step explanation:

The area (A) of a triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height )

Here b = n + 1 and h = n + 1 - 5 = n - 4 , then

[tex]\frac{1}{2}[/tex](n + 1)(n - 4) = 88 ( multiply both sides by 2 to clear the fraction )

(n + 1)(n - 4) = 176 ← expand the left side using FOIL

n² - 3n - 4 = 176 ( subtract 176 from both sides )

n² - 3n - 180 = 0 ← in standard form

(n - 15)(n + 12) = 0 ← in factored form

Equate each factor to zero and solve for n

n - 15 = 0 ⇒ n = 15

n + 12 = 0 ⇒ n = - 12

However, n > 0 , thus value of n = 15

Please help is this undefined or 0?

Answers

Answer:

0

Step-by-step explanation:

A horizontal line has slope zero since it does not rise vertically (i.e. y1 − y2 = 0), while a vertical line has undefined slope since it does not run horizontally (i.e. x1 − x2 = 0).

Answer:

0

Step-by-step explanation:

Undefined slopes are vertical, this is horizontal

hope this helps

Micah rows his boat on a river 4.48 miles downstream, with the current, in 0.32 hours. He rows back upstream the same distance, against the current, in 0.56 hours. Assuming his rowing speed and the speed of the current are constant, what is the speed of the current?

3 miles per hour
8 miles per hour
11 miles per hour
14 miles per hour

Answers

Let the speed of the current be y and the speed of Micah's sailing speed be x. Then 4.48/(x + y) = 0.32
4.48/(x - y) = 0.56

0.32x + 0.32y = 4.48 . . . (1)
0.56x - 0.56y = 4.48 . . . (2)
(1) x 7 => 2.24x + 2.24y = 31.36 . . . (3)
(2) x 4 => 2.24x - 2.24y = 17.92 . . . (4)
(3) - (4) => 4.48y = 13.44
y = 3
From (1), 0.32x + 0.32(3) = 4.48
0.32x = 4.48 - 0.96 = 3.52
x = 3.52/0.32 = 11

Therefore, the speed of the current is 3 miles per hour. Answer is 3 miles per hour

Answer:

its 3 miles per hour which is A

Step-by-step explanation:

i got it right on the test

Kelsey can buy 2 pounds of apples for 7 dollars

Answers

Answer:

each pound cost 3.5 dollars

Step-by-step explanation:

7/2

Answer: each pound is 3.50 dollars

Step-by-step explanation: 7.00 divided by 2 is 3.50 dollars

Please help! giving all the points I have!!! will give brainliest!!

Answers

c, because once you add the texture up

which is greater -4/5 or -7/8​

Answers

Answer:

-7/8 is greater

Step-by-step explanation:

-4/5=-0.8

-7/8=-0.875

To find the greater fraction, we can use the butterfly method.

Cross multiply the numerator by the denominator.

[tex](-\frac{4}{5} )(- \frac{7}{8} )[/tex]

[tex]-\frac{4\times8}{5\times7}=\frac{32}{35}[/tex]

Therefore, [tex]-\frac{4}{5}[/tex] is greater than [tex]-\frac{7}{8}[/tex].

Solve the simultaneous equations:

4x+3y=44

3x+3y=39
x=
and y=

Answers

Answer:
X = 5
Y = 8

Explanation:

Answer:

X = 5 and Y = 8

Step-by-step explanation:

4x + 3y = 44

3x + 3y = 39

- - -

__________

x = 44 - 39

x = 5........eq 1

Now putting the values in any equation

4 ( 5 ) + 3 y = 44

20 + 3 y = 44

[tex]4(5) + 3y = 44[/tex]

[tex]20 + 3y = 44[/tex]

[tex]3y = 44 - 20[/tex]

[tex]3y = 24[/tex]

[tex]y = \frac{24}{3} [/tex]

[tex]y = 8[/tex]

use the distributive property to rewrite 4(x+9)

Answers

Answer:

4x+36

Step-by-step explanation:

4*x+4*9

4x+36

4*x+4*9
4x+36
Answer- 4x+36

What is the measure of angle JHN.

Answers

Answer:

it's a)25

Step-by-step explanation:

angle MHL and JHN+NHK should be the same, they both are 95 degrees

Answer:

45°

Step-by-step explanation:

first of all find X

(3x+20) - (x+25) =x + 20

3x+20-x-25=x+20

3x-x+20-25=x+20

2x-5=x+20

collect like terms

2x-x=20+5

x=25°

recall JHN= (x+20)°

x=25

JHN=((25)+20)°

JHN=(25+20)°

JHN=45°

Hope it is helpful

"What is the Part to Total Ratio for purple Globbles to total Globbles? There are 5 purple Globbles and 15 Globbles in all. Remember to reduce!"

Answers

Answer:

1÷3

Step-by-step explanation:

5 purple Globbles and 15 Globbles in total.

Part to Total Ratio for purple:

5÷15 = 1÷3

help almost done....​

Answers

It’s super blurry on my end but B looks like the correct answer

Find the total surface area of this prism where
the cross-section is an isosceles triangle.
13 cm
5 cm
10 cm
24 cm

Answers

Answer:

The total surface area of the prism is 620 cm²

Step-by-step explanation:

The total area of the prism = lateral area + 2 (area of the cross-section)

The lateral area = perimeter of the cross-section × height

∵ The cross-section of the prism is an isosceles triangle

∵ The sides of the triangle are 13 cm, 13 cm, 24 cm

∵ The perimeter of the triangle is the sum of its sides

The perimeter = 13 + 13 + 24 = 50 cm

The perimeter of the cross-section = 50 cm

∵ The height of the prism is 10 cm

→ Use the rule of the lateral area above to find it

The lateral area of the prism = 50 × 10 = 500 cm²

∵ The area of the triangle = [tex]\frac{1}{2}[/tex] × base × height

∵ The base of the triangle = 24 cm

∵ The height of the triangle = 5 cm

∴ The area of the triangle =  [tex]\frac{1}{2}[/tex] × 24 × 5 = 60 cm²

The area of the cross-section = 60 cm²

→ Substitute the lateral area and the area of the cross-section in the rule

  of the total surface area above

∵ The surface area = 500 + 2(60)

∴ The surface area = 500 + 120

∴ The surface area = 620 cm²

The total surface area of the prism is 620 cm²

What do you need to do to a variable with a coefficient?
For example: 4n=20.
add
subtract
divide
multiply

Answers

Answer:

wouldnt it be 5

Step-by-step explanation:

4) Name The Angle Pair Represented And Solve For x. *
37°
(6x - 11)

Answers

Answer:

x = 8

Step-by-step explanation:

The attached figure shows the angle pair representation.

Here, two lines are cut by a transversal. It means the corresponding angles are equal i.e.

37 = 6x-11

37+11 = 6x

6x = 48

x = 8

Hence, the value of x is 8.

Find the area of the shape below.
10 cm
27 cm
9 cm
24 cm

Answers

Answer:

there is no shape below

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