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Anarel [89]
2 years ago
6

Rhombus A B C D is shown. Lines are drawn from point A to point C and from point D to point B and intersect at point E. All side

s are congruent.
The area of rhombus ABCD is 72 square units. EC = 8 units and DB = x – 1.

What is the value of x?
9
10
14
16
Mathematics
2 answers:
scoundrel [369]2 years ago
6 0

Answer: If answer above is correct then D on EDGE

Step-by-step explanation:

Because ^^^ said so :)

gavmur [86]2 years ago
4 0
Area of rhombus = 1/2 * diagonal * diagonal

72 = 1/2 * AC * BD

Diagonals bisect each other in a rhombus so if EC is 8 then AC is 16

72 = 1/2 * 16 * x - 1
72 = 8(x-1)
9 = x-1
X = 10

Check
72 = 1/2 * 16 * 10-1
72 = 1/2 * 16 * 9
72 = 8 * 9
72=72
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Answer:

The venue has to host 47 events throughout the year

Step-by-step explanation:

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Profit is revenue subtracted by costs.

Per event:

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6 0
3 years ago
Jon has 2/3 of an hour to do some training. It takes him 1/6 of an hour to run one trail. How many times can he run the trail
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4 0
3 years ago
Would appreciate some help first to answer gets brainliest
elixir [45]
The correct answer is B
3 0
3 years ago
Hey!
noname [10]

Answer:

A. Cylinder + cone

<u>Volume is the sum of volumes:</u>

  • V = Vcon + Vcyl = 1/3πr²h₁ + πr²h₂
  • V = 1/3π*9²*12 + π*9²*120 = 31554.2 cm³

<u>Surface area of cone:</u>

  • A = A=πr(r+√(h₁²+r²)) = π*9(9 + √(9²+12²)) = 678.6 cm²

<u>Surface area of cylinder minus bases:</u>

  • A = 2πrh₂ = 2π*9*120 = 6785.8 cm²

<u>Total surface area:</u>

  • 678.6 + 6785.8 = 7464.4 cm²

-------------------------------------------------

B. Cube+ pyramid

<u>Volume:</u>

  • V = a³ + (1/3)a²h = a³ + (1/3)a²√(l²-(a/2)²)
  • V = 8³ + (1/3)8²√(10²-4²) = 707.5 cm³

<u>Surface area of pyramid:</u>

  • A = a² + 2al = 8² + 2*8*10 = 224 cm²

<u>Surface area of cube minus bases:</u>

  • A = 4a² = 4(8²) = 256 cm²

<u>Total surface area:</u>

  • A = 224 + 256 = 480 cm²
5 0
3 years ago
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