30 kilograms
.....................................
Answer:
X=67.5
Step-by-step explanation:
3X + X=4X
4X+90=360
4X=360-90
4X=270
X=67.5
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
Answer: 6 dollars
Step-by-step explanation: since the total price is 54 dollars and we know the price of the wreath, we subtract the wreath from the total, leaving us with 42. Then we do 42 divided by 7 to get the price per ornament(which is too high to be reasonable in any universe), 6 dollars.
The sum(9) of half of the first number(1/2a) and one third of the second number(+1/3b)
That is correct