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1 year ago

Sin^2 a/2 - sin a/2 + 1/4 = 0

Mathematics

1 answer:

zimovet [89]1 year ago

3 0

Answer:

a = 60° or π/3

Step-by-step explanation:

Given :-

sin² a/2 - sin a/2 + 1/4

To find :-

Solving :-

sin² a/2 - sin a/2 + 1/4 = (sin a/2 - 1/2)² = 0

sin a/2 - 1/2 = 0

sin a/2 = 1/2

a/2 = 30°

Solution :-

a = 60° or π/3

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Otrada [13]

Answer:

3 tiles will not fit together.

Step-by-step explanation:

Measure of an Interior angle of a polygon = $\frac{(n-2)\times 180}{n}$

Here, n = number of sides of the polygon

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A = $\frac{(6-2)\times 180}{6}$

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Similarly, interior angle of the regular pentagon,

B = $\frac{(5-2)\times 180}{5}$

B = 108°

Now m∠A + m∠B + m∠C = 360°

m∠C = 360° - (120° + 108°)

= 132°

To fit the given three tiles perfectly, interior angle (∠D) of the third Octagonal tile should be 132°.

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D = 135°

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Therefore, 3 tiles will not fit together.

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Answer:

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Step-by-step explanation:

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2 years ago

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3 years ago

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Answer:

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Step-by-step explanation:

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2 years ago

Read 2 more answers