Answer:
Step-by-step explanation:
volume of box=6×6×7 in³
he fits gold 2×2×2
so he fits it in 6×6×6
so number of gold boxes=(6×6×6)/(2×2×2)=27
remaining space=1×6×6
number of silver boxes=(1×6×6)/(1×1×1)=36
total boxes he took=27+36=63
Answer:
38.28cm^2
Step-by-step explanation:
Area of rectangle = 24cm^2
Area of rectangle = 8cm^2
Area of semicircle = 6.28cm^2
Answer:sin240
Step-by-step explanation:
Sin300=(-√3)/2
Sin240=(-√3)/2
So sin300 is equivalent to sin240
Answer:
∠BIJ ≅ ∠CGJ and ∠BJI ≅ ∠CJG
Step-by-step explanation:
We have that the initial triangles are equal. Let us check which components remain within the final triangles as the same. The only such components are the angles B and C. We now know that we have to apply a triangle equality criterion.
The triangles BGH and CIH are equal since the have 2 common sides and the respective interior angles are equal. Then we have that BI=GC and also that the respective angles B and C are equal. THen also HIJ=HGJ since they fill to 180 degrees with angles that are equal.
Hence by angle-side-angle the triangles BJI and CJG are equal.
∠BIJ ≅ ∠CGJ and ∠BJI ≅ ∠CJG
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