Answer:
5.7
Step-by-step explanation:
 
        
             
        
        
        
Answer:
Step-by-step explanation:
<u>Seven less than the product of a number n and 1/6 is no more than 94, translating:</u>
<u>Solving for n:</u>
- n/6  ≤ 94 + 7
- n/6 ≤ 101
- n ≤ 101*6
- n ≤ 606
 
        
             
        
        
        
Answer:
see explanation
Step-by-step explanation:
Using the sum/ difference → product formula
cos x - cos y = - 2sin(  )sin (
)sin ( )
 )
sin x - sin y = 2cos ( )sin (
 )sin ( )
 )
Given
(cosA - cosB)² + (sinA - sinB )²
= [ - 2sin( )sin(
)sin( ) ]² + [ 2cos(
 ) ]² + [ 2cos( )sin(
 )sin( ) ]²
 ) ]²
= 4sin² ( )sin² (
 )sin² ( ) + 4cos² (
 ) + 4cos² ( )sin² (
 )sin² (  )
 )
= 4sin² ( )[ sin² (
 )[ sin² (  ) + cos² (
 ) + cos² (  ) ← sin²x + cos²x = 1
 ) ← sin²x + cos²x = 1
= 4sin² (  ) × 1
 ) × 1
= 4sin² (  ) = right side ⇒ proven
 ) = right side ⇒ proven
 
        
             
        
        
        
Answer Do it
Step-by-step explanation 165 divided by 100 =x times 43
 
        
             
        
        
        
Answer:
11 of 20p, 22 of 10p and 33 of 5p 
Step-by-step explanation:
Eva has 20p, 10p and 5p coins, total of £6.05 = 605p
Let 20p=x, 10p=y, 5p=z
<u>Then</u>:
- 20x + 10y + 5z = 605
- y : x = 2 : 1 ⇒ x= y/2
- y : z = 2 : 3 ⇒ z= 3y/2
<u>Rewriting the first equation considering next two:</u>
- 10y + 10y + 7.5y = 605
- 27.5y = 605
- y= 605/27.5
- y= 22
- x= y/2 = 22/2 = 11
- z = 3y/2 = 3*11 = 33
<u>Answer:</u> 11 of 20p coins, 22 of 10p coins and 33 of 5p coins