Answer:
Step-by-step explanation:
Shobo's age = x years
His mother's age = 6 times of
Shobo's age
= 6x years
Five years from now
________________
Shobo's age = ( x + 5 ) years
According to the problem given,
x + 5 = one by third of his mother's
present age
x + 5 = 6x / 3
x + 5 = 2x
5 = 2x - x
5 = x
Therefore ,
Shobo's present age = x = 5 years
His mother's age = 6x
= 6 × 5
= 30 years
Answer:
Brand A costs less per diaper
Step-by-step explanation:
To determine if it is the better deal, we need the cost per diaper. To find the Cost per diaper, take the total cost and divide by the number of diapers
Brand A
Cost per diaper = $38.75/ 200 = $.19375 per diaper
Brand B
Cost per diaper = $35.50/170 =.208823529 per diaper
Brand A costs less per diaper
Answer:
Julia has enough money to buy the jacket.
Step-by-step explanation:
6% of 45 is 0.06*45
With the sale tax jacket costs
45 + 0.06*45 = 47.7 or $ 47.70
$ 47.70 < $ 48
So, Julia has enough money to buy the jacket.
Solution:
LHS = (cosA+cosB)²+(sinA+sinB)²
= (cos²A+2cosAcosB+cos²B)+
(sin²A+2sinAsinB+sin²B)
/* By algebraic identity:
(x+y)² = x²+2xy+y² */
Rearranging the terms, we get
= (cos²A+sin²A)+(cos²B+sin²B)+2(cosAcosB+sinAsinB)
= 1+1+2cos(A-B)
________________________
we know that,
i) cos²x + sin²x = 1
ii) cosxcosy+sinxsiny = sin(x-y)
________________________
= 2+2cos(A-B)
= 2[1+cos(A-B)]
=
=
=$RHS$
Therefore,
(cosA+cosB)²+(sinA+sinB)²
=
••••
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