To find the maximum velocity you have to differentiate the function respect to r.
v = k(R - r)r^2 = kRr^2 - krr^2 = kRr^2 - kr^3
k and R are constants.
=> v' = 2kRr - 3kr^2 = kr(2R - 3r)
maximum velocity => v' = 0 => kr(2R - 3r) = 0
r = 0 or 2R - 3r = 0 => r = 2R / 3
Answer: r = 2R / 3
Answer:yes
Step-by-step explanation:
Answer:
$40
Step-by-step explanation:
use y = mx + b
y = amount saved = ?
m = amount saved per week = $10
x = time (in months) saving = 2.5
b = money jerry started with = $15
plug in:
y = (10)(2.5)+15
y = $40
Answer:
7. ∠CBD = 100°
8. ∠CBD = ∠BCE = 100°; ∠CED = ∠BDE = 80°
Step-by-step explanation:
7. We presume the angles at A are congruent, so that each is 180°/9 = 20°.
Then the congruent base angles of isosceles triangle ABC will be ...
∠B = ∠C = (180° -20°)/2 = 80°
The angle of interest, ∠CBD is the supplement of ∠ABC, so is ...
∠CBD = 180° -80°
∠CBD = 100°
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8. In the isosceles trapezoid, base angles are congruent, and angles on the same end are supplementary:
∠CBD = ∠BCE = 100°
∠CED = ∠BDE = 80°
