Number of strings =
= 21 x 21 x 21 x 21 x 21 x 5 = 20 420 505
Answer: 20 420 505
Answer:
m = 7
Step-by-step explanation:
2m + -4 = 10
Reorder the terms:
-4 + 2m = 10
Solving
-4 + 2m = 10
Solving for variable 'm'.
Move all terms containing m to the left, all other terms to the right.
Add '4' to each side of the equation.
-4 + 4 + 2m = 10 + 4
Combine like terms: -4 + 4 = 0
0 + 2m = 10 + 4
2m = 10 + 4
Combine like terms: 10 + 4 = 14
2m = 14
Divide each side by '2'.
m = 7
Simplifying
m = 7
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
Answer:
I disagree with both Andre thinks exponents
are just a different way of writing
multiplication of two numbers. Elena
calculates 28 to the power of two rather than 2 to the power of 28.
Step-by-step explanation:
Correct because I have on answer key.
