1. 1/6
2. 1/8
3. 80%
4. 1/5
5. 2/8 or 25%
Let n be one side of the square wood block. Then:
n²=872
n=√872=approx. 30" per side
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The answer should be x = 6
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.
There would be a 13 dollar tip if you round it. If you didn't it would be 13.05.
First you would turn the percent into a decimal. You would do this by moving the decimal place to the left 2 places. Then, multiply that by your amount.
