Answer:
-0.45, 2/5, 54%
Step-by-step explanation:
54%=54/100
=87/50
2/5=20/50
-0.45 must be the smallest as it is negative
Answer:
7.2%
Step-by-step explanation:
Given data
Estimate=450miles
Actual= 485 miles
%error= actual-estimate/ actual*100
%error=35/ 485*100
%error=0.072*100
%error=7.2%
<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)
===========================================
<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
============================================================
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
=====================================================
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: 1% is your answer
It's (1/100) * 100 or 1% is the percentage strength of a 1:100 solution.
Step-by-step explanation:
l NOTE:
l To change ratio strength to percent strength, it is
sometimes convenient to "convert" the last two zeros in
a ratio strength to a percent sign (%),
l change the remaining ratio to a common fraction, and
then to a decimal fraction in expressing percent.
l Examples:
l 1:100 =1/1% = 1%
l 1:200 = ½% = 0.5%
l 3:500 = 3/5% = 0.6%
l 1:2500 = l/25% = 0.04%
l 1:10,000 = 1/100% = 0.01%
