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Digiron [165]
3 years ago
9

Please help fast!!!!

Mathematics
1 answer:
skelet666 [1.2K]3 years ago
4 0

Answer:

if arc CB is 135° Then m(<D) = 67.5

Arc m(<D)=5×67.5=337.5

337.5×2=675

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Step-by-step explanation:

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A ferry is a large ship that carries passengers and loads on water.

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3 0
3 years ago
The lengths of two sides of a right angled triangle are 20 cm and 30 cm.
Naddik [55]

Answers:

  • Part (a)   10*sqrt(13)
  • Part (b)   10*sqrt(5)

Those values are exact. They approximate to:

10*sqrt(13) = 36.0555

10*sqrt(5) = 22.3607

====================================================

Explanation:

Part (a)

If the unknown third side is the hypotenuse then we need to find the value of c when a = 20 and b = 30.

Apply the pythagorean theorem

a^2 + b^2 = c^2

20^2 + 30^2 = c^2

400 + 900 = c^2

1300 = c^2

c^2 = 1300

c = sqrt(1300)

c = sqrt(100*13)

c = sqrt(100)*sqrt(13)

c = 10*sqrt(13)  .... exact length

c = 36.0555 ...... approximate length

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

Part (b)

If the third side is not the hypotenuse then that must mean c = 30 is the hypotenuse as this side is larger than the 20 cm side. The hypotenuse is always the longest side.

Let a = 20 be the known leg. Let's find the other unknown leg b using the pythagorean theorem.

a^2 + b^2 = c^2

20^2 + b^2 = 30^2

400 + b^2 = 900

b^2 = 900-400

b^2 = 500

b = sqrt(500)

b = sqrt(100*5)

b = sqrt(100)*sqrt(5)

b = 10*sqrt(5) ..... exact length

b = 22.3607 .......  approximate length

3 0
3 years ago
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