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elixir [45]
3 years ago
10

Round cake has a diameter of 30 cm . Angela places the cake on a circular cake board with a diameter 5 cm longer than that of th

e cake . What's the circumference
Mathematics
1 answer:
Sav [38]3 years ago
5 0

Answer:

circumference of the cake board = 109.9 cm

Step-by-step explanation:

diameter of cake = 30cm

diameter of cake board = 5cm longer than 30cm = 5 + 30 = 35cm

radius cake board = diameter ÷ 2 = 35 ÷ 2 = 17.5 cm

radius of cake board = 17.5 cm

circumference of a circle = 2 × π × r    (where π = 3.14)

circumference of a circle = 2 × 3.14 × 17.5 = 109.9 cm

Therefore the circumference of the cake board = 109.9 cm

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Find the value of x to the nearest tenth.
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Answer:

The answer to your question is  x = 14.7  

Step-by-step explanation:

Data

∠A = 20°

∠B = 46

a = 7

b = x

Process

To solve this problem use, the law of sines. This law states that the ratio of a side of a triangle to the sine of the opposite angle is the same for all three sides.

The law of sines for this problem is

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                          x = 7 (0.719) / 0.342

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