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So the final statement would be:
For this, we use the given info plus a bit of multiplying and subtraction
part 1)
we know that she's 25 y/m
so 5 minutes simply means 25 × 5
now we simply subtract this from 1000 (the original distance)
part 2)
the total time taken is even easier to find
all we have to do is divide 1000 by 25
part 1)
we know that she's 25 y/m
so 5 minutes simply means 25 × 5
now we simply subtract this from 1000 (the original distance)
part 2)
the total time taken is even easier to find
all we have to do is divide 1000 by 25
The limit of a(x)/b(x) as x approaches 0 is gotten as;
lim a(x)/b(x); x→0 = 0
- The image showing the semi circle and isosceles triangle is missing and so i have attached it.
- Formula for <em>area</em> of a semi circle is;
a(x) = A = ¹/₂πr²
- <em>Area</em> of triangle is;
b(x) = A = ¹/₂ × base × height
- From the image, ∠PQR = θ
Thus; a(x) = ¹/₂π(10 sin (θ/2))²
a(x) = ¹/₂π(100 sin² (θ/2))
Similarly;
b(x) = ¹/₂(20 sin (θ/2)) × (10 cos (θ/2))
b(x) = 100 sin (θ/2) cos (θ/2)
- Thus;
a(x)/b(x) = ¹/₂π(100 sin² (θ/2)) ÷ 100 sin (θ/2) cos (θ/2)
100 will cancel out and the sin (θ/2) at the denominator will be eradicated
upon further simplification to give;
a(x)/b(x) = ¹/₂π(sin (θ/2)) ÷ cos (θ/2)
In trigonometry, we know that; tan θ = sin θ/cos θ
Thus;
a(x)/b(x) = ¹/₂π(sin (θ/2)) ÷ cos (θ/2) = ¹/₂π(tan (θ/2))
We want to find the limit as θ approaches <em>zero.</em>
Thus;
lim θ → 0 = ¹/₂π(tan (0/2))
⇒ ¹/₂π tan 0
⇒ 0
Read more at; https://brainly.in/question/9387458
