Answer:
1/32v²sin2θ
Step-by-step explanation:
Given the expression r(theta) = 1/16v²sinθcosθ
According to double angle of trigonometry identity;
Sin2θ = sin(θ+θ)
Sin2θ = sinθcosθ + cosθsinθ
Sin2θ = 2sinθcosθ
sinθcosθ = sin2θ/2 ... **
Substituting equation ** into the question
1/16v²sinθcosθ = 1/16v²(sin2θ/2)
1/16v²sinθcosθ = 1/2×1/16v²(sin2θ)
1/16v²sinθcosθ = 1/32v²sin2θ
Hence using the double angle identity, the equivalent expression is 1/32v²sin2θ
Answer:
D
Step-by-step explanation:
Answer:
Step-by-step explanation:
slope of line perpendicular to x=4 is 0
reqd. eq. of line is y=-5
X < 43, implies that the height of Aisha is less than 43 and can't be equal to 43 ( as there is no equal operator)
A is wrong as the inequality does not imply that Aisha is 0 tall , but any height height from 0 to 42.99999...
B) Correct , Aisha is not 43 and less she is less than that.
C) no, she may just need to grow 1 or 2 inches who knows.
D) nope, Aisha is at most 43 ( at least = 43 or taller)
at most 43 or less
Answer:
Probability of obtaining 6H and 4T = 0.2051
Step-by-step explanation:
Since for a fair coin,
Probability of obtaining Head = 0.5
p = 0.5
q = 1-p = 0.5
Probability of obtaining 6H and 4T = 10C6 (p)^6(q)^4 = 210*0.5^6*0.5^4
P(6H, 4T) = 0.2051
