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1 answer:
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Answer:
see explanation
Step-by-step explanation:
(1)
the sine of an angle =
(a)
here the opposite is 12 and the hypotenuse is 13
12 is the side opposite ∠DEF ← required angle
(b)
the tangent of an angle =
here the opposite is 5 and the adjacent is 12
∠DFE ← required angle
(2)
to calculate AB use Pythagoras' identity in the right triangle
AB² = 2² + 3² = 4 + 9 = 13, hence
AB = ≈ 3.6 ( to nearest tenth )
tanB = ⇒ B = 33.7°
tanA = ⇒ A = 56.3°
Answer:
Helena is correct.
Step-by-step explanation:
The slope intersept form of the line is
y = m x + c
where, m is the slope and c is the intersept.
The point slope form of the equation is
So, if there are two points are given, the equation of line is found by the point slope form.
So, Helena is correct.
Answer: The derivative of the function is
.
Step-by-step explanation:
We know that the derivative of with respect to x is given by :
(1)
The given function is
Differential both sides with respect to x , we get
( Using (1))
Therefore , the derivative of the function is
.