Answer:
Step-by-step explanation:
<h3>Given</h3>
- If (s -a) = 5cm, (s -b) = 10cm, (s -c) = 1cm
- s = ?
<h3>Solution</h3>
<u>Add up the 3 equations and solve for s:</u>
- s - a + s - b + s - c = 5 + 10 + 1
- 3s = 16 + a + b + c
- s = 1/3(a + b + c + 16)
<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:
2.5
Step-by-step explanation:
given that y is proportional to x then the equation relating them is
y = kx ← k is the constant of proportionality
y = 2.5x is in this form with k = 2.5
Answer: Anita's
Step-by-step explanation:
Anita's shape would have the longest sides because she only has 4 total sides, while the others have 5, 6, and 10
This means that if the total perimeter for each of the shapes was 10 units,
Anita's shape would have side lengths of about 2.5 units while the others would have side lengths of 2, 1.6, and 1 units.
This means Anita's shape has the longest sides
