Answer:
see explanation
Step-by-step explanation:
Using the sum/ difference → product formula
cos x - cos y = - 2sin( 
)sin (
)
sin x - sin y = 2cos ( )sin ( )
Given
(cosA - cosB)² + (sinA - sinB )²
= [ - 2sin(
)sin(
) ]² + [ 2cos( )sin( ) ]²
= 4sin² ( )sin² ( ) + 4cos² ( )sin² ( )
= 4sin² ( )[ sin² ( ) + cos² ( ) ← sin²x + cos²x = 1
= 4sin² ( ) × 1
= 4sin² ( ) = right side ⇒ proven
N*3.25=325.00
N=325.00/3.25
N=100
Answer:
One solution
Step-by-step explanation:
Let's rewrite y = 6 - 3x as y = -3x + 6
Looking at these two equations, we can see they share a y-intercept
Making our solution 6
We know there is only one solution because the equations are not the exact same, if they were we'd have infinitely many solutions
We also know there aren't no solutions because the lines are not parallel (same slopes with difference y-intercepts)
Best of luck
Nadia = 3x than Jim
Paul = 25+ than Nadia
Jim = ?
Nadia and Paul = 85
85-25 = 60
(Subtract Nadia's and Paul's stickers all together with the stickers that Paul have more so both of the stickers are balance)
Nadia = 60/2 =30
Paul = 30+25 =55
Jim= 30/3=10
#Jim have 10 stickers
Answer:
$1.98
Step-by-step explanation:
6%=0.06
33*0.06=1.98
