Answer:
37 beads
Step-by-step explanation:
Given that:
Adel : Claire = 7 : 4
Let Adel be = A; &
Let Claire be = C
A: C = 7 : 4

7C = 4A
--- (1)
When Adel gave 68 beads to claire, we have:
C + 68 = 25:41

25(C + 68) = 41A
C + 68 = 
--- (2)
Equating (1) and (2) together;




- 187 A = 175 × (-68)
-187 A = - 11900
A = - 11900/ -187
A ≅ 64
From;

C = 36.57
C ≅ 37 beads
Answer:
9cos(46x) + 9cos(12x)
Step-by-step explanation:
18cos(29x)cos(17x)
According to Product-Sum identities
cos(α)cos(β)= (1/2)[cos(α+β)+cos(α-β)]
Putting α=29x and β=17x in Product-Sum identity we get
= 18×(1/2)[cos(29x+17x)+cos(29x-1`7x)]
Dividing 18 by 2 we get 9
= 9[cos(46x)+cos(12x)]
Multiplying 9 with both the terms we get
= 9cos(46x)+9cos(12x)
8 × 40 + 8 × 3
this is the expanded form