Answer:
Let θ = (45 - A)°.
=> 2Tanθ/ 1 + Tan²θ
=> 2Sinθ/Cosθ / 1 + Sin²θ / Cos²θ
=> 2Sinθ/Cosθ/ Cos²θ + Cos²θ / Cos²θ
=> 2Sinθ/Cosθ/ 1 / Cos²θ
=> 2SinθCos²θ/Cosθ
=> 2SinθCosθ
=> Sin2θ
But we assumed θ = (45 - A)°,
=> Sin2(45 - A)
=> Sin(90 - 2A) (∵ Sin(90 - θ) = Cosθ)
=> Cos2A
= R.H.S
Hence proved.
Step-by-step explanation:
1/5 3/5 7/10 4/5 Change the denominators all to 10 to be able to but them in order
Answer:
a is the answer for this question
Mean = 4.4
Mode = 2
Range = 13
Explanations:
Mean = (1 + 2 + 2 + 2 + 3 + 4 + 5 + 5 + 6 + 14)/10 = 44/10 = 4.4
Mode = 2 (Happens most frequently)
Range = 14 - 1 = 13
<span>Let the number be x
then x + 12(1/x) = 7
x + 12/x = 7
x² + 12 = 7x
x² - 7x + 12 = 0
(x - 4)(x-3) = 0
x = 4 or x = 3
Then the numbers are 3 & 4.
I hope this helps you out! :)
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