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AveGali [126]
3 years ago
13

Steven purchases a bowl. The diameter of the bowl is 14 cm. What is the circumference of the bowl? Use 3.14 for pi.

Mathematics
1 answer:
defon3 years ago
6 0
28cm bc Ik I just did dis
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Using addition formula solve tan 15​
salantis [7]

Answer:

2 - \sqrt{3}

Step-by-step explanation:

Using the addition formula for tangent

tan(A - B) = \frac{tanA-tanB}{1+tanAtanB} and the exact values

tan45° = 1 , tan60° = \sqrt{3} , then

tan15° = tan(60 - 45)°

tan(60 - 45)°

= \frac{tan60-tan45}{1+tan60tan45}

= \frac{\sqrt{3}-1 }{1+\sqrt{3} }

Rationalise the denominator by multiplying numerator/ denominator by the conjugate of the denominator.

The conjugate of 1 + \sqrt{3} is 1 - \sqrt{3}

= \frac{(\sqrt{3}-1)(1-\sqrt{3})  }{(1+\sqrt{3})(1-\sqrt{3})  } ← expand numerator/denominator using FOIL

= \frac{\sqrt{3}-3-1+\sqrt{3}  }{1-3}

= \frac{-4+2\sqrt{3} }{-2}

= \frac{-4}{-2} + \frac{2\sqrt{3} }{-2}

= 2 - \sqrt{3}

3 0
3 years ago
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dolphi86 [110]
The answer is going to be
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3 years ago
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Agata [3.3K]

Answer:

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Step-by-step explanation:

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goldenfox [79]

Answer:

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Step-by-step explanation:

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The population of a city increased from 21,400 to 27,700 between 2007 and 2016. Find the change
WITCHER [35]

Answer:

700

Step-by-step explanation:

2016 - 2007 = 9

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6300 / 9 = 700.

6 0
2 years ago
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