1.534
2.168
3.230
4.408
5.78
6.642
7.3
81016
9.1900
10.8 times (40 plus 5)
Answer:
60,000
Step-by-step explanation:
Jane-2000
Peter-ratio of 5=25000
Marta-ratio of 7=35000
25000+35000
60000
Sin(2θ)+sin(<span>θ)=0
use double angle formula: sin(2</span>θ)=2sin(θ)cos(<span>θ).
=>
2sin(</span>θ)cos(θ)+sin(<span>θ)=0
factor out sin(</span><span>θ)
sin(</span>θ)(2cos(<span>θ)+1)=0
by the zero product property,
sin(</span>θ)=0 ...........(a) or
(2cos(<span>θ)+1)=0.....(b)
Solution to (a): </span>θ=k(π<span>)
solution to (b): </span>θ=(2k+1)(π)+/-(π<span>)/3
for k=integer
For [0,2</span>π<span>), this translates to:
{0, 2</span>π/3,π,4π/3}
The blank would be 4 as 4*7 is the same as 7*4
