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GravityShifter13
22.10.2019 •
Mathematics
Uppose r⃗ (t)=cos(πt)i+sin(πt)j+5tk represents the position of a particle on a helix, where z is the height of the particle. (a) what is t when the particle has height 15? t= 3 \displaystyle{3}3 (b) what is the velocity of the particle when its height is 15? v⃗ = < -pisin(3pi),picos(3pi),5> \displaystyle< -\pi{\sin{{\left({3}\pi\right)}}},\pi{\cos{{\left({3}\pi\right)}}},{5}> < −πsin(3π),πcos(3π),5> (c) when the particle has height 15, it leaves the helix and moves along the tangent line at the constant velocity found in part (b). find a vector parametric equation for the position of the particle (in terms of the original parameter t) as it moves along this tangent line.
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Ответ:
d. 96
Step-by-step explanation:
consecutive sides = 3x - 6 and x + 14
all sides of a rhombus are equal, therefore
3x - 6 = x + 14
-x -x
2x - 6 = 14
+6 +6
2x = 20
2 2
x = 10
substitute x in equation
3x - 6 = x + 14
3(10) - 6 = 10 + 14
30 - 6 = 24
24 = 24
perimeter of a rhombus = 4a
= 4(24)
= 96
hope this helps