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
First, you have to find how many weeks are in 98 and to do so, you would divide it by 7. which turns out to be 14. If you divide 14 by 4 you'll find that their population will double 3 times, but not 3.5 because it is every 4 full weeks.
The equation will look like this, however, I'm not completely certain about the format. I'm using the formula for exponential growth
P(t)=r(2)^t
I did use t as weeks, but for every 4 weeks. R is the number of rabbits. If we were to input our information, we'd get:
P(3)=5(2)^3
If you work it out, you get 40 rabbits. In 14 weeks, the rabbits will double 3 times, so if we were to just figure it out without using the formula, we could double 5 which is 10, double it again, which is 20, and then double it a third time. which is 40.
Answer:
4Q a). angle1=55°
angle2=23°
angle3=63°
angle4=125°
5Q. x=35°
6Q. y=15°
8Q. C. 28°
9Q. Yes, they are congruent by S.S.S. congruence
10Q. A.A.S.
11Q. S.S.S.
12Q. Not possible
13Q. S.A.S.
14Q. S.S.S.
15Q. 66°
16Q. 24°
I hope it will be useful.
Step-by-step explanation:
7Q. angle1=angle3 (Alternate Interior Angles)
angle2=angle4 (A.I.A.)
angleXWZ=angleXYZ (opposite angles of a parallelogram)
By A.A.A. congruence criteria, they are congruent.
8Q. Hint: Make the diagram first!
AngleC is halved since M is the mid-point.
angleA=angleB (Property of an isosceles triangle)
which implies, angleAMC=angleBMC=90°
Thus, CM is perpendicular to AB.
I hope it will be useful.
