Answer:
a=41.8 BC=2.8
Step-by-step explanation:
sin30/6=sinx/8
8*sin30=6sinx
4=6sinx
sin^-1(4/6)
angle a
cosine rule
bc^2=3^2 +5^2-2(3)(5)*cos30
BC^2=
BC=2.83
2.8
Answer:265.25
Step-by-step explanation:
Given
Volume of box
height is 3 times the width
let height, length and breadth be H, L & B


4=B^2\times L[/tex]

Cost of side walls $ 
Cost of base $ 
Cost of side walls
Cost of base 
Total cost 


differentiate C w.r.t B to get minimum cost




L=2.19 m
C=$ 265.25
Answer:
Age of Mark
years
Age of Mark's dad
years
Age of Mark's sister
years
Step-by-step explanation:
Let age of Mark be
years.
Mark's dad is three times older than Mark
Age of her Mark's dad 
Mark's sister is 2 years younger than Mark
Age of Mark's sister
years
The sum of their ages is 48.

Age of Mark
years
Age of Mark's dad
years
Age of Mark's sister
years
Answer: (x-4)
Step-by-step explanation:
x^2 + 8x +15 is the area
x+5 is the length
x+3 is the width
(x+5)(x+3)=
x^2 + 3x +5x +15
x^2 +8x + 15