Answer:
Step-by-step explanation:
Let and . Now we evaluate the given function at :
(1)
Which means that is less than the y-component of A. Therefore, the right answer is .
It seems as if D is the answer
The law of sines is usually written as
[sin (A) / a] = [sin (B) / b] which can be manipulated algebraically as
[b * sin (A) / sin (B)] = a
Answer:
A) 3; B) 1116 m²; C) 24 m³; D) 1/27
Step-by-step explanation:
A) Scale factor
The scale factor is the ratio of the heights of the two pyramids.
h₂/h₁ = 24/8 = 3
B) Surface area
The ratio of the surface areas is the square of the scale factor.
A₂/A₁ = 3²
A₂/124 = 9
A₂ = 124 × 9 = 1116 m²
The volume of the larger pyramid is 1116 m².
C) Volume
The ratio of the volumes is the cube of the scale factor.
V₂/V₁ = 3³
648/V₁ = 27
648 = 27V₁
V₁ = 648/27 = 24 m³
The volume of the smaller pyramid is 24 m³.
D) Volume ratio
V₁/V₂ = 24/648 = 1/27
The volume ratio is 1/27.
Is the answer supposed to be 28?