<span>1. a sine curve with amplitude 2, and period 4pi radians
</span>
the general equation of the sine curve ⇒⇒ y = a sin (nθ)
where: a is the amplitude and n = 2π/perid
∵ <span>amplitude 2, and period 4pi radians
</span>
∴ y = 2 sin (θ/2)
The correct answer is option D. y = 2 sin (θ/2)
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<span>2.The period and amplitude of the function ⇒⇒ y = 5 cos 2θ
</span>
<span>comparing with y = a cos nθ
</span>
where : a is the amplitude and n = 2π/period
<span>amplitude = 5 , period = 2π/n = 2π/2 = π
</span>
The correct answer is option B. Period: pi radians: Amplitude:5
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3. tan (2π/3) = tan 120° = -√3
120° lie in the second quadrant and its reference angle = 180° - 120° = 60°
tan function in the second quadrant is negative
∴ tan 120° = - tan 60 = -√3
The correct answer is C. -sqrt3
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4. <span>Tan 5π/6 = tan 150° = -(√3)/3
</span>
150° lies in the second quadrant and its reference angle = 180° - 150° = 30°
tan function in the second quadrant is negative
∴ tan 150° = - tan 30 = -(√3)/3
The correct answer is <span>B.-sqrt3/3</span>
Answer:
height = 6 mm
Step-by-step explanation:
The prism is a rectangular prism. The base area of the prism is 24 mm². The volume of the prism is given as 144 mm³.
The height of the prism can be solved as follows.
Volume of the rectangular prism = Bh
where
B = base area
h = height
Volume = 144 mm³
B = 24 mm²
volume = Bh
144 = 24 × h
144 = 24h
divide both sides by 24
h = 144/24
h = 6 mm
Answer: The answer is (d) Compounding.
Step-by-step explanation: We are given four options out of we are to select the best way through which we can achieve significant increases in interest after all in a savings account.
Increases in principle and increases in time will not give the result, because we are talking about a fixed amount of money for a fixed time.
Also, increases in interest is not in our hand.
So, only we can do is compounding. Here, in same amount of money and time, the rate of interest will automatically increase.
Thus, the correct option is (d) Compounding.
Answer:
2, 6, 28, 358.01
Step-by-step explanation:
We have to find the fractions of whole numbers.
Number 1:
of 10 = 
(Answer)
Number 2:
of 9 = 
(Answer)
Number 3:
of 32 = 
(Answer)
Number 4:
= 
{Since 
}
= 300 + 50 + 8 + 0.01
= 358.01 (Answer)
Answer:
B. They must bisect each other
Step-by-step explanation:
Found the answer on quizziz
