Answer:
Lily can invite 8 friends ,
10 times 8 equals 80
80 plus 45 equals 125
Step-by-step explanation:
Answer:
25%
Step-by-step explanation:
|×100
×100
=0.25×100
=25%
=25%error
Answer:
DE = 21
Step-by-step explanation:
Recall: the ratio of the corresponding side lengths of similar triangles are equal
Given that ∆ABC ~ ∆DEF, therefore,
AB/DE = BC/EF = AC/DF
AB = 8.4
DE = x
BC = 10
EF = 25
AC = 16.5
DF = 41.25
Let's find DE using AB/DE = BC/EF. Thus:
8.4/x = 10/25
Cross multiply
x*10 = 25*8.4
10x = 210
Divide both sides by 10
x = 210/10
x = 21
DE = x = 21
Lim[x.sin(4π/x)] when x →∞. To apply the Hospital rule we need a fraction:
lim[x.sin(4π/x)] could be written:
lim [sin(4π/x)] / (1/x) . Now let's find the derivative of the numerator and the denominator:
Numerator = sin(4π/x) → (Numerator)' = cos(4π/x).(-4π/x²) [Chaine rule
(sinu)' = cosu. u'] So derivative of Numerator = cos(4π/x).(-4π/x²)
Denominator = 1/x → Numerator derivative = -1/x²
Now : (numerator)'/(denominator)' = cos(4π/x).(-4π/x²) / -1/x²
Simplify by x² : → cos(4π/x).(-4π) / -1
OR cos(4π/x).(4π) . When x→∞ , 4π/x → 0 and cos(0) = 1, then:
lim[x.sin(4π/x)] when x →∞. is 4π
