TIME REMAINING
01:59:41
What is the length of the other diagonal, DF?
Sofia cuts a piece of felt in the shape of a kite for an art
project. The top two sides measure 20 cm each and the
bottom two sides measure 13 cm each. One diagonal,
EG, measures 24 cm.
05 cm
O 16 cm
F
21 cm
O 32 cm
20 cm
20 cm
E
G
13 cm
13 cm
D
w

Answers

Answer 1

Answer:

EF² = FA²+ EA²

20² = 12² + FA²

400 -144 = FA²

256 =FA²

16cm = FA

Now in Δ DAG

DG² = AG² + DA²

13² = 12 ²+ DA²

169 -144 = DA²

25 = DA²

5cm = DA

Then that means diagonal DF = DA + FA

= 5 + 16

= 21cm

Step-by-step explanation:

TIME REMAINING01:59:41What Is The Length Of The Other Diagonal, DF?Sofia Cuts A Piece Of Felt In The
Answer 2

The value of the other diagonal DF is 21.66 cm.

What is Pythagoras Theorem?

The square of the hypotenuse is equal to the sum of the squares of the other two sides of a triangle, according to the Pythagorean theorem.

Given:

The top two sides measure 20 cm each and the bottom two sides measure 13 cm each.

EG= 24 cm.

As, Diagonal ED divides the diagonal DF into two equal parts.

Now, Using  Pythagoras theorem in triangle DOG

x²/4 + y² = 13²= 169

and, Using  Pythagoras theorem in triangle EOD

x²/4 + (24 -y)² = 20²= 169

x²/4 + 576  -48y+ 169 - x²/4 = 400

-48y= -345

y= 7.1785

now, y²= 169 - x²/4

51. 6601 = 169 - x²/4

x/2 = 10.83

x = 21.66 cm

Thus, the other diagonal DF is 21.66 cm.

Learn more about kite shape here:

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Related Questions

Use the long division method to find the result when 4x^3+23x^2 + 21x + 30 is
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Answers

Answer:

A polynomial is an algebraic expression made up of two or more terms subtracted, added, or multiplied. A polynomial can contain coefficients, variables, exponents, constants, and operators such as addition and subtraction.

It is also important to note that, a polynomial can’t have fractional or negative exponents. Examples of polynomials are; 3y2 + 2x + 5, x3 + 2 x 2 − 9 x – 4, 10 x 3 + 5 x + y, 4x2 – 5x + 7) etc. Like number, polynomials can undergo addition, subtraction, multiplication, and division.

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Kelsha is putting money into a savings account. She starts with $750 in the savings account, and each week she adds $30. Let S represent the total amount of money in the savings account (in dollars), and let W represent the number of weeks Keisha has been adding money. Write an equation relating Sto W. Then use this equation to find the total amount of money in the savings account after 14 weeks.​

Answers

Answer:

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

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Which expression is equivalent to 6/7 divided by 3/5 ?

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B 6/7 x 5/3

C 7/6 divided 3/5

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Answers

Answer:

A.

Step-by-step explanation:

6/7  / 3/5   we invert the divisor and multiply:

= 6/7 * 5/3

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And show work, please :)

Answers

Answer:

b= -11/12

Step-by-step explanation:

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40-10+12b=19

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Answers

Answer:

731,100

7.311 × 10^5

Step-by-step explanation:

The computation of the number of sheet used by other department is given below:

Given  that

The company used 7.4 × 10^5 sheets of paper So it would be 740,000  

And, The accounting department used 8.9 × 10^3 sheets so it would be 8,900  

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Answers

Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Find the solution to the system of equations.
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A. (3.8)
B. (-8,4)
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E. (-1,-2)

Answers

Answer:

C (16,-4)

Step-by-step explanation:

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16-12=4

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Answer:

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Answer:

The answer is B Hope this helps

Step-by-step explanation:

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Answers

Answer:

8 dimes

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Step-by-step explanation:

Let number of

Dimes = x ; quarters = y

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25x + 10y = 270 ___(2)

From (1)

10x = 255 - 25y

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Answers

Answer: B

Step-by-step explanation:

Noah uses 1/2 of a cup of vinegar in his salad dressing recipe. How much vinegar would Noah use to make 3 1/6 recipes? Write your answer as a fraction or as a whole or mixed number.

(Please help me)​

Answers

Answer:

1 7/12 cups

Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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ѕєє thє híght σf вαr αt 6!! whαt'ѕ thє hєíght? σвvíσuѕlч ít'ѕ 7

í hσpє чσu gєt ít :)

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The 2 questions are attached below.

Answers

Answer:

C. 80

Step-by-step explanation:

Hope This Helps! : )

The perimeter of an equilateral triangle is 60 centimeters. The length of the altitude of the triangle is XV3 centimeters. What is the value of x? ​

Answers

9514 1404 393

Answer:

  x = 10

Step-by-step explanation:

Half of the triangle makes a 30°-60°-90° "special" triangle. We know the side ratios of that are 1 : √3 : 2. The long side is 1/3 of the perimeter, so is 60/3 = 20 = 10×2. Then the altitude is 10 times the middle ratio value: 10√3 ≈ 17.32.

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Answer:

X = 25

Step-by-step explanation:

To solve this question, we'll first of all find determine the side length of the triangle from the perimeter.

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The side lengths are 50cm each since they are all equal.

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We have to divide the triangle equally into two different part.

Check the first attachment for better illustration on how the equilaterial triangle is.

Check the second attachment for better illustration on the triangle when its divided into a right angle triangle.

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a² = b² + c²

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50² = [x√(3)]² + 25²

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X² = 1875 / 3

X² = 625

X = √(625)

X = 25

HOPE THIS HELPS

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38 apples! 20 plus 18 is 38! Have a great day

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Answer:

Step-by-step explanation:

54.[tex]r=\sqrt{\frac{V}{πh} } =\sqrt{\frac{1256}{π100} } =2[/tex]\

55. H

56. A

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Answers

Answer:

t=36

Step-by-step explanation:

54-18 = 36

Answer:

t + 18 = 54

Step-by-step explanation:

t + 18 = 54

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Answers

Answer:

4 and 6?

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Step-by-step explanation:

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Answers

The coordinates are (-11,0) (0,11)

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36.9°
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59.0°

Answers

Answer:

53.1

Step-by-step explanation:

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53.10

Step-by-step explanation:

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Answers

Answer:

46.5

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Mole measure the number of elementary entities of a given substance that are present in a given sample. Therefore, 4.65g  are  7.00 x 10²²  molecules of NaOH.

What is mole?

The mole is used to measure the quantity of amount of substance. It measure the number of elementary entities of a given substance that are present in a given sample.

we know one mole of any element contains 6.022×10²³ atoms which is also called Avogadro number

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given number of atoms of NaOH= 7.00 x 10²² atoms

Substituting the values

mole=7.00 x 10²²÷ 6.022×10²³

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Therefore, 4.65g are  7.00 x 10²²  molecules of NaOH.

To know more about mole, here:

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In a team of 24 players, about 80% of the team was on the honor roll last quarter. How many students were on the honor roll?​

Answers

Answer:

19

Step-by-step explanation:

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Answers

Answer:

answers

Step-by-step explanation:

2 and 3rd

Which graph represents the function f(x) = 4|x|?


Which graph represents the function f(x) = 4|x|?

Answers

It looks like a "V" going straight up from 0, and hits both 4 and -4 y while going up perfectly

The graph opens upward, and it has a vertex of (0,0)

What is vertex?

The vertex of an equation is the minimum or the maximum point on the graph of the equation

The equation of the graph is given as:

[tex]f(x) = 4|x|[/tex]

The above equation represents an absolute value function

An absolute value function is represented as:

[tex]f(x) = a|x -h| + k[/tex]

So, by comparison, we have:

[tex]a = 4[/tex]

[tex]h = 0[/tex]

[tex]k = 0[/tex]

This means that the graph opens upward, and it has a vertex of (0,0)

See attachment for the graph of [tex]f(x) = 4|x|[/tex]

Read more about absolute value functions at:

https://brainly.com/question/3381225

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Answers

It’s the first one because the parabola is open

Answer:

Middle answer is right

Step-by-step explanation:

The first answer is obliviously wrong so therefore it is the last two options

-(x+1)^2

= -(x^2+2x+1)

= -x^2-2x-1-3             (add the -3)

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y intercept make x=0 therefore y=-4

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x=2/2 which is 1

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