Answer:
1/3
Step-by-step explanation:
6 of 18 = 6/18
Divide by 6, the GCF of the two numbers 6 and 18, to get 1/3.
6 is 1/3 of 18.
Since sin(2x)=2sinxcosx, we can plug that in to get sin(4x)=2sin(2x)cos(2x)=2*2sinxcosxcos(2x)=4sinxcosxcos(2x). Since cos(2x) = cos^2x-sin^2x, we plug that in. In addition, cos4x=cos^2(2x)-sin^2(2x). Next, since cos^2x=(1+cos(2x))/2 and sin^2x= (1-cos(2x))/2, we plug those in to end up with 4sinxcosxcos(2x)-((1+cos(2x))/2-(1-cos(2x))/2)
=4sinxcosxcos(2x)-(2cos(2x)/2)=4sinxcosxcos(2x)-cos(2x)
=cos(2x)*(4sinxcosx-1). Since sinxcosx=sin(2x), we plug that back in to end up with cos(2x)*(4sin(2x)-1)
Answer:
maximum number: 171
Step-by-step explanation:
The $500 budget that will serve the people (x) with flat fee of $200 and $1.75 per person
1.75x + 200 = 500
1.75 x = 300
x = 171.4
Hello! the answers are (going across) 72/90 , 6/21 , 11/24 , 100/4 , 121/12 , 175/48
if u need me to explain how i got this, feel free to message me ! have a nice day:)<3
