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Nataly [62]
3 years ago
12

I need help please?!!!!!

Mathematics
1 answer:
sergiy2304 [10]3 years ago
6 0

the answer is 9/16 the power is distributed among both numbers

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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
Name the regular polygon that has 12 sides
AnnZ [28]

Answer:

dodecagon

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Identify the solution set of the inequality using the given replacement set x < –2; {–5, –2.6, –2, –0.8, 1, 1.5}. A. {–5, –2.
Olenka [21]
If x < - 2 and x ∈ { - 5, - 2.6, - 2, - 0.8, 1, 1.5 }
- 5 < - 2 and - 2.6 < - 2
The solution set is:
A ) { - 5 , - 2.6  }

5 0
3 years ago
Read 2 more answers
The vertex from of the equation of a parabola is y = (x - 3)2 + 36 what is tge standard form of the equation
Misha Larkins [42]
Multiply it out and collect terms.
  y = (x - 3)² + 36
  y = (x² -6x +9) +36
  y = x² -6x +45
6 0
3 years ago
Find the volume of each figure. Round the answer<br> 5 min<br> 4 mm<br> 18 nm<br> 8 mm
valentina_108 [34]
Try 18mm that should be the answer
8 0
3 years ago
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