Answer:
20%
Step-by-step explanation:
1.92 - 1.60 = 0.32
percentage increase = (0.32/1.60) * 100 =
0.2 * 100 = 20%
The answer is 3/4 ft² = 0.75 ft²
The area (A) of the parallelogram with altitude a and base b is:
A = a * b
We have:
A = ?
a = 6 in
Since 1 inch is 0.083 feett, then 6 inches is
a = 6 * 0.083 ft = 0.498 ft ≈ 0.5 ft = 1/2 ft
b = 1 1/2 ft = 1 + 1/2 ft = 2/2 + 1/2 ft = 3/2 ft
_______
A = a * b
a = 1/2 ft
b = 3/2 ft
A = 1/2 * 3/2 = 3/4 ft² = 0.75 ft²
Larger PyramidHeight 24 Volume 648
Pyramid Volume = (Area of the Base * Height) ÷ 3648 = Base Area * 24 / 3Base Area = 648 * 3 / 24Base Area = 648 / 8Base Area = 81Base Length = 9
a) The Scale Factor between the Small & Large PyramidLength - 3LATERAL Area - 9Volume - 27
Slant Height^2 = 4.5^2 + 24^2Slant Height^2 =
<span>
<span>
596.25
</span>
</span>
<span><span>Slant Height^2 = 24.4182308941
</span>
</span>
b)
Large Pyramid Area = (½ * Perimeter of Base * Slant Height) + Base AreaLarge Pyramid Area = (.5 * 36 * <span>24.4182308941) + 81
</span>Large Pyramid Area = 439.5281560938 + 81
Large Pyramid TOTAL Area =
<span>
<span>
520.5281560938
</span>
</span>
<span>Large Pyramid LATERAL Area =<span> 439.5281560938
</span>
</span>
**********************************************************************************c)
Smaller PyramidHeight 8Surface Area = 124
This pyramid has dimensions that are one third of the larger pyramid.Therefore, it has a base length of 3.Base Area = 9.
Its base perimeter would be 12.
Small Pyramid Volume = (Area of the Base * Height) ÷ 3Small Pyramid Volume = ( 9 * 8 ) / 3Small Pyramid Volume = 72 / 3
c) Small Pyramid Volume =24 cubic meters
d) Ratio of larger pyramid volume to smaller pyramid volume648 / 24 = 27The reason? Volume is a 3 dimensional quantity. The Larger pyramid is 3 times larger in terms of the base measurement.9 meters vs 3 meters - a factor of 3When we compare volumes, we have to cube this factor.3^3 = 27
Source : http://www.1728.org/volpyrmd.htm
Rate of change = difference in y over difference in x.
Rate of change = (33-20)/(3-1) = 13/2
Rate of change = (48-33) /(5-3) = 15/2
The rates are not the same so it isn’t linear.
The rate of change for x=3 and x = 5 is greater.
The answer is c. its very simple.
