Find the amplitude and the equation of the midline of the periodic function.
2 answers:
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Answer:
length of rectangle=7 metre
width of rectangle=5 metre
Step-by-step explanation:
perimeter of rectangle=2(length+width)
given perimeter of rectangle=p=24
let, length of rectangle=l
width of rectangle=b=5l-30
ac/ques, p=2(l+b)
24=2(l+5l-30)
12=6l-30
42=6l
l=
l=7 metre
b=35-30=5 metre
<span> For this case, the first thing we must do is define variables.
We have then:
x: number of songs.
y: total charge
For Treys online music club:
</span>
<span> For Debs online music club:
</span>
<span> Equaling both equations we have:
</span>
<span> Clearing x we have:
</span>
<span>
Substituting the value of x for any of the equations we have:
</span>
<span> Answer:
The monthly charge will be the same for 5 songs in both clubs.
the cost will be $ 24</span>
We have then:
x: number of songs.
y: total charge
For Treys online music club:
</span>
<span> For Debs online music club:
</span>
<span> Equaling both equations we have:
</span>
<span> Clearing x we have:
</span>
Substituting the value of x for any of the equations we have:
</span>
<span> Answer:
The monthly charge will be the same for 5 songs in both clubs.
the cost will be $ 24</span>
9514 1404 393
Answer:
a. yes; AA similarity
b. maybe 8, (or 30)
Step-by-step explanation:
a. The missing angle of ∆ABC is 180° -60° -20° = 100°. So, two of the angles of ∆ABC match those of ∆DEF, meaning the triangles are similar by the AA theorem.
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b. We notice the side ratios to be ...
DE/AB = 12/9 = 4/3
Using that same ratio for corresponding sides ...
EF/BC = 4/3
EF = BC(4/3) = 6(4/3) = 8
Using the marked side lengths, we find EF = 8.
__
We note that two angles and the side between them are sufficient information to solve ∆DEF with no reference to the markings of ∆ABC. Doing that, we find EF ≈ 30.4. We credit the discrepancy to the fact that ∆ABC is mis-marked. The longer side cannot be opposite the smaller angle.
